Details

analyze2.4s (2.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
0%	74.9%	25.1%	2
18.7%	56.2%	25.1%	3
37.5%	37.5%	25.1%	4
42.1%	32.8%	25.1%	5
46.8%	28.1%	25.1%	6
48%	26.9%	25.1%	7
49.2%	25.8%	25.1%	8
49.5%	25.5%	25.1%	9
49.8%	25.2%	25.1%	10
49.8%	25.2%	25.1%	11
49.8%	25.1%	25.1%	12
49.9%	25%	25.1%	13
49.9%	25%	25.1%	14

Compiler

Compiled 127 to 112 computations (11.8% saved)

sample59.2s (66%)

Results

55.0s	4085×	body	8192	exit
4.1s	8256×	body	128	valid
42.0ms	84×	body	128	invalid

Compiler

Compiled 378 to 334 computations (11.6% saved)

simplify50.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

388×	`associate-+l+_binary64`
296×	`associate-+r+_binary64`
271×	`distribute-rgt-in_binary64`
266×	`distribute-lft-in_binary64`
224×	`associate-r_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	606	119
3	3454	115
4	4863	115
5	4787	115

prune11.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

1.6b

Counts

3 → 2

Alt Table

Status	Error	Program
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

Status

Error

Program

1.7b

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

▶

1.7b

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

Compiler

Compiled 596 to 508 computations (14.8% saved)

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
✓	1.0b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

series67.0ms (0.1%)

Counts

4 → 36

Calls

4 calls:

32.0ms	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
31.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
3.0ms	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
0.0ms	(sqrt.f64 (*.f64 (PI.f64) 2))

rewrite163.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`frac-add_binary64`
58×	`*-un-lft-identity_binary64`
40×	`distribute-lft-out_binary64`
34×	`associate-*r/_binary64`
22×	`add-exp-log_binary64`

Counts

4 → 126

Calls

4 calls:

90.0ms	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
14.0ms	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
13.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
2.0ms	(sqrt.f64 (*.f64 (PI.f64) 2))

simplify294.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-def_binary64`
633×	`distribute-rgt-in_binary64`
599×	`distribute-lft-in_binary64`
345×	`*-commutative_binary64`
149×	`associate-l_binary64`

Counts

162 → 224

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	698	20494
1	2393	19568
2	6145	19568

prune870.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	218	6	224
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	220	6	226

Error

0.2b

Counts

226 → 6

Alt Table

Status	Error	Program
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 9999999999998099/10000000000000000 3) (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3)) (-.f64 2 z)) (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) -3147848041806007/2500000000000)) (-.f64 3 z)) (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z))))
	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (-.f64 15/2 z)))) (fma.f64 3764081837873279/25000000000000000000000 (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (.f64 (-.f64 8 z) (fma.f64 2496092394504893/250000000000000000000 (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (.f64 (-.f64 7 z) (fma.f64 -3464277381643003/25000000000000000 (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (.f64 (-.f64 6 z) (fma.f64 2501468655737381/200000000000000 (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (.f64 (-.f64 5 z) (fma.f64 -883075145810703/5000000000000 (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (-.f64 4 z) (fma.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))))))))))))) (.f64 (pow.f64 (-.f64 15/2 z) z) (.f64 (-.f64 8 z) (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (.f64 (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) 1/2)) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 2 z)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (-.f64 3 z)) (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (pow.f64 (-.f64 15/2 z) z) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z)))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) 1/2)) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 9999999999998099/10000000000000000 3) (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3)) (-.f64 2 z)) (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) -3147848041806007/2500000000000)) (-.f64 3 z)) (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (pow.f64 (-.f64 15/2 z) z) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z)))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (fma.f64 3764081837873279/25000000000000000000000 (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z)))))) (.f64 (-.f64 8 z) (fma.f64 2496092394504893/250000000000000000000 (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z))))) (.f64 (-.f64 7 z) (fma.f64 -3464277381643003/25000000000000000 (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z)))) (.f64 (-.f64 6 z) (fma.f64 2501468655737381/200000000000000 (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z))) (.f64 (-.f64 5 z) (fma.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (-.f64 3 z) -883075145810703/5000000000000) (.f64 (-.f64 4 z) (fma.f64 (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 3 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 7713234287776531/10000000000000))))))))))))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z))))

Compiler

Compiled 38955 to 31079 computations (20.2% saved)

localize70.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (-.f64 6 z) (fma.f64 2501468655737381/200000000000000 (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z))) (.f64 (-.f64 5 z) (fma.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (-.f64 3 z) -883075145810703/5000000000000) (.f64 (-.f64 4 z) (fma.f64 (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 3 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 7713234287776531/10000000000000)))))))
✓	1.0b	(fma.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (-.f64 3 z) -883075145810703/5000000000000) (.f64 (-.f64 4 z) (fma.f64 (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 3 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 7713234287776531/10000000000000))))
✓	1.0b	(sqrt.f64 (*.f64 2 (PI.f64)))
✓	2.3b	(fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z))))

series13.0ms (0%)

Counts

4 → 36

Calls

4 calls:

6.0ms	(.f64 (-.f64 6 z) (fma.f64 2501468655737381/200000000000000 (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z))) (.f64 (-.f64 5 z) (fma.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (-.f64 3 z) -883075145810703/5000000000000) (.f64 (-.f64 4 z) (fma.f64 (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 3 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 7713234287776531/10000000000000)))))))
4.0ms	(fma.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (-.f64 3 z) -883075145810703/5000000000000) (.f64 (-.f64 4 z) (fma.f64 (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 3 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 7713234287776531/10000000000000))))
3.0ms	(fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z))))
0.0ms	(sqrt.f64 (*.f64 2 (PI.f64)))

rewrite13.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
6×	`add-cbrt-cube_binary64`

Counts

4 → 59

Calls

4 calls:

5.0ms	(.f64 (-.f64 6 z) (fma.f64 2501468655737381/200000000000000 (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z))) (.f64 (-.f64 5 z) (fma.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (-.f64 3 z) -883075145810703/5000000000000) (.f64 (-.f64 4 z) (fma.f64 (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 3 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 7713234287776531/10000000000000)))))))
2.0ms	(sqrt.f64 (*.f64 2 (PI.f64)))
0.0ms	(fma.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (-.f64 3 z) -883075145810703/5000000000000) (.f64 (-.f64 4 z) (fma.f64 (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 3 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 7713234287776531/10000000000000))))
0.0ms	(fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z))))

simplify134.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

662×	`distribute-rgt-in_binary64`
650×	`distribute-lft-in_binary64`
495×	`fma-def_binary64`
89×	`cancel-sign-sub-inv_binary64`
85×	`associate-l_binary64`

Counts

95 → 133

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	6941
1	429	5906
2	1317	5885
3	5028	5885

prune1.1s (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	133	6	139

Error

0.2b

Counts

139 → 6

Alt Table

Status	Error	Program
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 9999999999998099/10000000000000000 3) (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3)) (-.f64 2 z)) (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) -3147848041806007/2500000000000)) (-.f64 3 z)) (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z))))
	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (-.f64 15/2 z)))) (fma.f64 3764081837873279/25000000000000000000000 (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (.f64 (-.f64 8 z) (fma.f64 2496092394504893/250000000000000000000 (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (.f64 (-.f64 7 z) (fma.f64 -3464277381643003/25000000000000000 (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (.f64 (-.f64 6 z) (fma.f64 2501468655737381/200000000000000 (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (.f64 (-.f64 5 z) (fma.f64 -883075145810703/5000000000000 (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (-.f64 4 z) (fma.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))))))))))))) (.f64 (pow.f64 (-.f64 15/2 z) z) (.f64 (-.f64 8 z) (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (.f64 (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) 1/2)) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 2 z)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (-.f64 3 z)) (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (pow.f64 (-.f64 15/2 z) z) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z)))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) 1/2)) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 9999999999998099/10000000000000000 3) (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3)) (-.f64 2 z)) (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) -3147848041806007/2500000000000)) (-.f64 3 z)) (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (pow.f64 (-.f64 15/2 z) z) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z)))))
✓	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (fma.f64 3764081837873279/25000000000000000000000 (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z)))))) (.f64 (-.f64 8 z) (fma.f64 2496092394504893/250000000000000000000 (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z))))) (.f64 (-.f64 7 z) (fma.f64 -3464277381643003/25000000000000000 (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z)))) (.f64 (-.f64 6 z) (fma.f64 2501468655737381/200000000000000 (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z))) (.f64 (-.f64 5 z) (fma.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (-.f64 3 z) -883075145810703/5000000000000) (.f64 (-.f64 4 z) (fma.f64 (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 3 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 7713234287776531/10000000000000))))))))))))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z))))

Compiler

Compiled 38625 to 30636 computations (20.7% saved)

localize81.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)
✓	1.0b	(*.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000)
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.5b	(+.f64 (.f64 (-.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 2 z)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000))

series6.0ms (0%)

Counts

3 → 24

Calls

3 calls:

4.0ms

(+.f64 (*.f64 (-.f64 (*.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 2 z)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000))

2.0ms

(*.f64 (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)

0.0ms

(*.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000)

rewrite44.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`associate-*l/_binary64`
26×	`associate-+l+_binary64`
26×	`flip--_binary64`
26×	`flip3--_binary64`
24×	`add-sqr-sqrt_binary64`

Counts

3 → 111

Calls

3 calls:

14.0ms

(+.f64 (*.f64 (-.f64 (*.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 2 z)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000))

13.0ms

(*.f64 (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)

3.0ms

(*.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000)

simplify164.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

466×	`associate-l_binary64`
446×	`distribute-rgt-in_binary64`
420×	`distribute-lft-in_binary64`
415×	`associate-r_binary64`
308×	`fma-def_binary64`

Counts

135 → 212

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	5397
1	1107	4427
2	4929	4415
3	4907	4415

prune1.7s (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	230	1	231
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	232	5	237

Error

0.2b

Counts

237 → 5

Alt Table

Status	Error	Program
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) 1/2)) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 -3239171488526100880312595937844772199/50000000000000000000000000000000 (fma.f64 6118036922008385701629976080561/6250000000000000000000000 (.f64 z z) (fma.f64 52120709903757078245430659528778613801/100000000000000000000000000000000 z (.f64 143656571600511264168708575049177/100000000000000000000000000 (pow.f64 z 3))))) (-.f64 3 z)) (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (pow.f64 (-.f64 15/2 z) z) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (.f64 (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
▶	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (-.f64 15/2 z)))) (fma.f64 3764081837873279/25000000000000000000000 (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (.f64 (-.f64 8 z) (fma.f64 2496092394504893/250000000000000000000 (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (.f64 (-.f64 7 z) (fma.f64 -3464277381643003/25000000000000000 (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (.f64 (-.f64 6 z) (fma.f64 2501468655737381/200000000000000 (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (.f64 (-.f64 5 z) (fma.f64 -883075145810703/5000000000000 (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (-.f64 4 z) (fma.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))))))))))))) (.f64 (pow.f64 (-.f64 15/2 z) z) (.f64 (-.f64 8 z) (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) 1/2)) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 9999999999998099/10000000000000000 3) (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3)) (-.f64 2 z)) (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) -3147848041806007/2500000000000)) (-.f64 3 z)) (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (pow.f64 (-.f64 15/2 z) z) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z)))))
✓	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (fma.f64 3764081837873279/25000000000000000000000 (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z)))))) (.f64 (-.f64 8 z) (fma.f64 2496092394504893/250000000000000000000 (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z))))) (.f64 (-.f64 7 z) (fma.f64 -3464277381643003/25000000000000000 (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z)))) (.f64 (-.f64 6 z) (fma.f64 2501468655737381/200000000000000 (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z))) (.f64 (-.f64 5 z) (fma.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (-.f64 3 z) -883075145810703/5000000000000) (.f64 (-.f64 4 z) (fma.f64 (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 3 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 7713234287776531/10000000000000))))))))))))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z))))

Compiler

Compiled 67798 to 53396 computations (21.2% saved)

localize65.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))
✓	1.0b	(-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
	1.0b	(sqrt.f64 (*.f64 2 (PI.f64)))
	2.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

series6.0ms (0%)

Counts

2 → 24

Calls

2 calls:

3.0ms

(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))

3.0ms

(-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

rewrite74.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

263×	`*-un-lft-identity_binary64`
161×	`add-sqr-sqrt_binary64`
125×	`times-frac_binary64`
105×	`prod-diff_binary64`
96×	`add-cube-cbrt_binary64`

Counts

2 → 224

Calls

2 calls:

29.0ms

(-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

14.0ms

(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))

simplify252.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def_binary64`
492×	`associate-r_binary64`
473×	`associate-l_binary64`
269×	`associate-*r/_binary64`
214×	`associate-*l/_binary64`

Counts

248 → 247

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	471	17058
1	1317	8259
2	4893	8257
3	5291	8257

prune18.6s (20.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1252	0	1252
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	1252	5	1257

Error

0.2b

Counts

1257 → 5

Alt Table

Status	Error	Program
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) 1/2)) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 -3239171488526100880312595937844772199/50000000000000000000000000000000 (fma.f64 6118036922008385701629976080561/6250000000000000000000000 (.f64 z z) (fma.f64 52120709903757078245430659528778613801/100000000000000000000000000000000 z (.f64 143656571600511264168708575049177/100000000000000000000000000 (pow.f64 z 3))))) (-.f64 3 z)) (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (pow.f64 (-.f64 15/2 z) z) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (.f64 (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
✓	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (-.f64 15/2 z)))) (fma.f64 3764081837873279/25000000000000000000000 (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (.f64 (-.f64 8 z) (fma.f64 2496092394504893/250000000000000000000 (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (.f64 (-.f64 7 z) (fma.f64 -3464277381643003/25000000000000000 (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (.f64 (-.f64 6 z) (fma.f64 2501468655737381/200000000000000 (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (.f64 (-.f64 5 z) (fma.f64 -883075145810703/5000000000000 (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (-.f64 4 z) (fma.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))))))))))))) (.f64 (pow.f64 (-.f64 15/2 z) z) (.f64 (-.f64 8 z) (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) 1/2)) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 9999999999998099/10000000000000000 3) (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3)) (-.f64 2 z)) (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) -3147848041806007/2500000000000)) (-.f64 3 z)) (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (pow.f64 (-.f64 15/2 z) z) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z)))))
✓	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (fma.f64 3764081837873279/25000000000000000000000 (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z)))))) (.f64 (-.f64 8 z) (fma.f64 2496092394504893/250000000000000000000 (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z))))) (.f64 (-.f64 7 z) (fma.f64 -3464277381643003/25000000000000000 (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z)))) (.f64 (-.f64 6 z) (fma.f64 2501468655737381/200000000000000 (.f64 (-.f64 4 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z))) (.f64 (-.f64 5 z) (fma.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (-.f64 3 z) -883075145810703/5000000000000) (.f64 (-.f64 4 z) (fma.f64 (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 3 z) (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 7713234287776531/10000000000000))))))))))))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z))))

Compiler

Compiled 371282 to 297593 computations (19.8% saved)

regimes3.5s (3.9%)

Accuracy

Total 0.2b remaining (40%)

Threshold costs 0.2b (40%)

Counts

238 → 1

Compiler

Compiled 108734 to 88162 computations (18.9% saved)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	395
1	110	395
2	127	395
3	133	395
4	137	395
5	139	395
6	140	395
7	138	395

end832.0ms (0.9%)

Compiler: Compiled 1878 to 1525 computations (18.8% saved)

Details

analyze2.4s (2.7%)

sample59.2s (66%)

simplify50.0ms (0.1%)

prune11.0ms (0%)

localize48.0ms (0.1%)

series67.0ms (0.1%)

rewrite163.0ms (0.2%)

simplify294.0ms (0.3%)

prune870.0ms (1%)

localize70.0ms (0.1%)

series13.0ms (0%)

rewrite13.0ms (0%)

simplify134.0ms (0.1%)

prune1.1s (1.2%)

localize81.0ms (0.1%)

series6.0ms (0%)

rewrite44.0ms (0%)

simplify164.0ms (0.2%)

prune1.7s (1.9%)

localize65.0ms (0.1%)

series6.0ms (0%)

rewrite74.0ms (0.1%)

simplify252.0ms (0.3%)

prune18.6s (20.7%)

regimes3.5s (3.9%)

simplify13.0ms (0%)

end832.0ms (0.9%)

Profiling