Details

analyze1.7s (3.2%)

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)

sample1.3s (2.4%)

Algorithm

1×

intervals

Results

1.2s	108×	body	8192	exit
78.0ms	256×	body	128	valid
6.0ms	368×	pre	128	true
1.0ms	4×	body	128	invalid

Compiler

Compiled 252 to 223 computations (11.5% saved)

simplify53.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

388×	`associate-+l+_binary64`
318×	`exp-sum_binary64`
296×	`associate-+r+_binary64`
271×	`distribute-rgt-in_binary64`
266×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	604	119
3	3400	115
4	4793	115
5	4804	115

prune13.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

1.8b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	1.8b	(.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 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.8b	(.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 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -5537752839100187/4398046511104 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 848079078717083/1099511627776 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -6214088902520669/35184372088832 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 7041008316161153/562949953421312 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -4992549864024149/36028797018963968 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 5893731530977871/590295810358705651712 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 5688119651184367/37778931862957161709568 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Status

Error

Program

▶

1.8b

(*.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 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))

1.8b

(*.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 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -5537752839100187/4398046511104 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 848079078717083/1099511627776 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -6214088902520669/35184372088832 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 7041008316161153/562949953421312 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -4992549864024149/36028797018963968 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 5893731530977871/590295810358705651712 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 5688119651184367/37778931862957161709568 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Compiler

Compiled 473 to 403 computations (14.8% saved)

localize62.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 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))
2.6b	(+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))

rewrite392.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

45×	`*-un-lft-identity_binary64`
44×	`frac-add_binary64`
44×	`add-log-exp_binary64`
31×	`distribute-lft-out_binary64`
31×	`sum-log_binary64`

Counts

4 → 86

Calls

4 calls:

95.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z)))
27.0ms	(+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))
17.0ms	(.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))

Compiler

Compiled 9154 to 7239 computations (20.9% saved)

series167.0ms (0.3%)

Error

0.3b

Counts

4 → 28

Calls

4 calls:

55.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
30.0ms	(+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))
26.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z)))
0.0ms	(sqrt.f64 (*.f64 PI.f64 2))

Compiler

Compiled 3847 to 3064 computations (20.4% saved)

simplify169.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

638×	`associate-l_binary64`
503×	`associate-r_binary64`
368×	`distribute-rgt-in_binary64`
340×	`distribute-lft-in_binary64`
218×	`*-commutative_binary64`

Counts

114 → 92

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	518	8715
1	1428	8402
2	5223	8402

prune264.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	88	6	94

Error

0.2b

Counts

94 → 6

Alt Table

Status	Error	Program
	1.2b	(.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 7 z) (+.f64 (.f64 (-.f64 6 z) (+.f64 (pow.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) 3) (pow.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) 3))) (.f64 -4992549864024149/36028797018963968 (+.f64 (.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))) (.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (-.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))))))))) (.f64 5893731530977871/590295810358705651712 (.f64 (-.f64 6 z) (+.f64 (.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))) (.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (-.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))))))))) (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (+.f64 (.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))) (*.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (-.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))))))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.9b	(.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 7 z) (+.f64 (.f64 (-.f64 6 z) (+.f64 (.f64 (-.f64 5 z) (+.f64 (.f64 (-.f64 4 z) (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) 3) (pow.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) 3)) (-.f64 3 z)) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) 848079078717083/1099511627776))) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (-.f64 3 z) -6214088902520669/35184372088832)))) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (-.f64 3 z) (.f64 (-.f64 4 z) 7041008316161153/562949953421312))))) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) -4992549864024149/36028797018963968))))) (.f64 5893731530977871/590295810358705651712 (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) (-.f64 6 z)))))) (.f64 (-.f64 7 z) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (*.f64 (-.f64 5 z) (-.f64 6 z)))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.8b	(.f64 (/.f64 PI.f64 (sin.f64 (.f64 PI.f64 z))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.3b	(.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 7 z) (+.f64 (.f64 (-.f64 6 z) (+.f64 (.f64 (-.f64 5 z) (+.f64 (.f64 (-.f64 4 z) (+.f64 (.f64 (+.f64 (.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (-.f64 3 z)) (.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (.f64 (-.f64 2 z) 848079078717083/1099511627776)))) (.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (.f64 (-.f64 2 z) (.f64 (-.f64 3 z) -6214088902520669/35184372088832))))) (.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (.f64 (.f64 (-.f64 2 z) (-.f64 3 z)) (.f64 (-.f64 4 z) 7041008316161153/562949953421312))))) (.f64 (.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) -4992549864024149/36028797018963968))))) (.f64 5893731530977871/590295810358705651712 (.f64 (.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) (-.f64 6 z)))))) (.f64 (-.f64 7 z) (.f64 (.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) (-.f64 6 z)))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	2.0b	(.f64 (/.f64 PI.f64 (sin.f64 (.f64 PI.f64 z))) (.f64 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 PI.f64))) (cbrt.f64 (sqrt.f64 (.f64 2 PI.f64)))) (cbrt.f64 (sqrt.f64 (.f64 2 PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
▶	1.2b	(.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 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (*.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))

Compiler

Compiled 10288 to 8209 computations (20.2% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)
0.3b	(/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 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))

rewrite196.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

17×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`

Counts

4 → 78

Calls

4 calls:

18.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
6.0ms	(.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)
3.0ms	(/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z)))
2.0ms	(sqrt.f64 (*.f64 PI.f64 2))

Compiler

Compiled 3584 to 2309 computations (35.6% saved)

series101.0ms (0.2%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

48.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
15.0ms	(/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z)))
12.0ms	(.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)
0.0ms	(sqrt.f64 (*.f64 PI.f64 2))

Compiler

Compiled 1707 to 1334 computations (21.9% saved)

simplify122.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

310×	`associate-l_binary64`
270×	`cancel-sign-sub-inv_binary64`
258×	`associate-r_binary64`
216×	`associate-/l*_binary64`
187×	`unswap-sqr_binary64`

Counts

90 → 49

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	1924
1	477	1715
2	1609	1669
3	3392	1669
4	4820	1669
5	4920	1669

prune131.0ms (0.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	46	9	55

Error

0.1b

Counts

55 → 9

Alt Table

Status	Error	Program
	1.2b	(.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 7 z) (+.f64 (.f64 (-.f64 6 z) (+.f64 (pow.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) 3) (pow.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) 3))) (.f64 -4992549864024149/36028797018963968 (+.f64 (.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))) (.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (-.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))))))))) (.f64 5893731530977871/590295810358705651712 (.f64 (-.f64 6 z) (+.f64 (.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))) (.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (-.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))))))))) (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (+.f64 (.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))) (*.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (-.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))))))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.5b	(.f64 (.f64 (sqrt.f64 PI.f64) (/.f64 (sqrt.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 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.9b	(.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 7 z) (+.f64 (.f64 (-.f64 6 z) (+.f64 (.f64 (-.f64 5 z) (+.f64 (.f64 (-.f64 4 z) (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) 3) (pow.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) 3)) (-.f64 3 z)) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) 848079078717083/1099511627776))) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (-.f64 3 z) -6214088902520669/35184372088832)))) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (-.f64 3 z) (.f64 (-.f64 4 z) 7041008316161153/562949953421312))))) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) -4992549864024149/36028797018963968))))) (.f64 5893731530977871/590295810358705651712 (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) (-.f64 6 z)))))) (.f64 (-.f64 7 z) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (*.f64 (-.f64 5 z) (-.f64 6 z)))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.8b	(.f64 (/.f64 PI.f64 (sin.f64 (.f64 PI.f64 z))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.3b	(.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 7 z) (+.f64 (.f64 (-.f64 6 z) (+.f64 (.f64 (-.f64 5 z) (+.f64 (.f64 (-.f64 4 z) (+.f64 (.f64 (+.f64 (.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (-.f64 3 z)) (.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (.f64 (-.f64 2 z) 848079078717083/1099511627776)))) (.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (.f64 (-.f64 2 z) (.f64 (-.f64 3 z) -6214088902520669/35184372088832))))) (.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (.f64 (.f64 (-.f64 2 z) (-.f64 3 z)) (.f64 (-.f64 4 z) 7041008316161153/562949953421312))))) (.f64 (.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) -4992549864024149/36028797018963968))))) (.f64 5893731530977871/590295810358705651712 (.f64 (.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) (-.f64 6 z)))))) (.f64 (-.f64 7 z) (.f64 (.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) (-.f64 6 z)))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	2.0b	(.f64 (/.f64 PI.f64 (sin.f64 (.f64 PI.f64 z))) (.f64 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 PI.f64))) (cbrt.f64 (sqrt.f64 (.f64 2 PI.f64)))) (cbrt.f64 (sqrt.f64 (.f64 2 PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.2b	(.f64 (+.f64 (/.f64 1 z) (.f64 1/6 (.f64 z (pow.f64 PI.f64 2)))) (.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 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	2.3b	(.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (/.f64 (cbrt.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 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (*.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
▶	1.1b	(.f64 (/.f64 PI.f64 (sin.f64 (.f64 PI.f64 z))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2)) (+.f64 (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))

Compiler

Compiled 4220 to 3246 computations (23.1% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)
0.3b	(/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z)))
1.0b	(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2))
1.0b	(sqrt.f64 (*.f64 2 PI.f64))

rewrite188.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-cbrt-cube_binary64`
18×	`add-exp-log_binary64`
17×	`pow1_binary64`
15×	`prod-exp_binary64`
15×	`add-sqr-sqrt_binary64`

Counts

4 → 80

Calls

4 calls:

17.0ms	(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2))
6.0ms	(.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)
3.0ms	(/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z)))
2.0ms	(sqrt.f64 (*.f64 2 PI.f64))

Compiler

Compiled 3738 to 2361 computations (36.8% saved)

series97.0ms (0.2%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

49.0ms	(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2))
17.0ms	(/.f64 PI.f64 (sin.f64 (*.f64 PI.f64 z)))
11.0ms	(.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)
0.0ms	(sqrt.f64 (*.f64 2 PI.f64))

Compiler

Compiled 1730 to 1352 computations (21.8% saved)

simplify133.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

382×	`associate-l_binary64`
303×	`associate-r_binary64`
263×	`cancel-sign-sub-inv_binary64`
210×	`unswap-sqr_binary64`
190×	`associate-/l*_binary64`

Counts

92 → 47

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	2007
1	516	1769
2	1745	1723
3	3167	1713
4	4955	1713
5	4963	1713

prune122.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	46	10	56

Error

0.1b

Counts

56 → 10

Alt Table

Status	Error	Program
	1.2b	(.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 7 z) (+.f64 (.f64 (-.f64 6 z) (+.f64 (pow.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) 3) (pow.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) 3))) (.f64 -4992549864024149/36028797018963968 (+.f64 (.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))) (.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (-.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))))))))) (.f64 5893731530977871/590295810358705651712 (.f64 (-.f64 6 z) (+.f64 (.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))) (.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (-.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))))))))) (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (+.f64 (.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))) (*.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (-.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))))))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.5b	(.f64 (.f64 (sqrt.f64 PI.f64) (/.f64 (sqrt.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 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.9b	(.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 7 z) (+.f64 (.f64 (-.f64 6 z) (+.f64 (.f64 (-.f64 5 z) (+.f64 (.f64 (-.f64 4 z) (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) 3) (pow.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) 3)) (-.f64 3 z)) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) 848079078717083/1099511627776))) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (-.f64 3 z) -6214088902520669/35184372088832)))) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (-.f64 3 z) (.f64 (-.f64 4 z) 7041008316161153/562949953421312))))) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) -4992549864024149/36028797018963968))))) (.f64 5893731530977871/590295810358705651712 (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) (-.f64 6 z)))))) (.f64 (-.f64 7 z) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (*.f64 (-.f64 5 z) (-.f64 6 z)))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.8b	(.f64 (/.f64 PI.f64 (sin.f64 (.f64 PI.f64 z))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.3b	(.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 7 z) (+.f64 (.f64 (-.f64 6 z) (+.f64 (.f64 (-.f64 5 z) (+.f64 (.f64 (-.f64 4 z) (+.f64 (.f64 (+.f64 (.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (-.f64 3 z)) (.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (.f64 (-.f64 2 z) 848079078717083/1099511627776)))) (.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (.f64 (-.f64 2 z) (.f64 (-.f64 3 z) -6214088902520669/35184372088832))))) (.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (.f64 (.f64 (-.f64 2 z) (-.f64 3 z)) (.f64 (-.f64 4 z) 7041008316161153/562949953421312))))) (.f64 (.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) -4992549864024149/36028797018963968))))) (.f64 5893731530977871/590295810358705651712 (.f64 (.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) (-.f64 6 z)))))) (.f64 (-.f64 7 z) (.f64 (.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) (-.f64 6 z)))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	2.0b	(.f64 (/.f64 PI.f64 (sin.f64 (.f64 PI.f64 z))) (.f64 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 PI.f64))) (cbrt.f64 (sqrt.f64 (.f64 2 PI.f64)))) (cbrt.f64 (sqrt.f64 (.f64 2 PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
▶	1.2b	(.f64 (+.f64 (/.f64 1 z) (.f64 1/6 (.f64 z (pow.f64 PI.f64 2)))) (.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 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	2.3b	(.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (/.f64 (cbrt.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 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (*.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
✓	1.1b	(.f64 (/.f64 PI.f64 (sin.f64 (.f64 PI.f64 z))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2)) (+.f64 (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	42.7b	(.f64 (cbrt.f64 (pow.f64 (/.f64 PI.f64 (sin.f64 (.f64 PI.f64 z))) 3)) (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2)) (+.f64 (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))

Compiler

Compiled 4037 to 3120 computations (22.7% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 z (pow.f64 PI.f64 2))
0.4b	(.f64 1/6 (.f64 z (pow.f64 PI.f64 2)))
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))

rewrite202.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

25×	`add-exp-log_binary64`
17×	`prod-exp_binary64`
16×	`add-cbrt-cube_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`

Counts

4 → 78

Calls

4 calls:

19.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
6.0ms	(.f64 1/6 (.f64 z (pow.f64 PI.f64 2)))
6.0ms	(*.f64 z (pow.f64 PI.f64 2))
2.0ms	(sqrt.f64 (*.f64 PI.f64 2))

Compiler

Compiled 3811 to 2852 computations (25.2% saved)

series96.0ms (0.2%)

Error

0.1b

Counts

4 → 11

Calls

4 calls:

49.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
15.0ms	(*.f64 z (pow.f64 PI.f64 2))
14.0ms	(.f64 1/6 (.f64 z (pow.f64 PI.f64 2)))
0.0ms	(sqrt.f64 (*.f64 PI.f64 2))

Compiler

Compiled 1649 to 1327 computations (19.5% saved)

simplify114.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

410×	`unswap-sqr_binary64`
324×	`associate-l_binary64`
306×	`associate-r_binary64`
263×	`cancel-sign-sub-inv_binary64`
222×	`exp-prod_binary64`

Counts

89 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	1777
1	441	1531
2	1604	1489
3	3129	1486
4	4732	1486
5	4988	1486

prune132.0ms (0.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	59	10	69

Error

0.1b

Counts

69 → 10

Alt Table

Status	Error	Program
	1.2b	(.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 7 z) (+.f64 (.f64 (-.f64 6 z) (+.f64 (pow.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) 3) (pow.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) 3))) (.f64 -4992549864024149/36028797018963968 (+.f64 (.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))) (.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (-.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))))))))) (.f64 5893731530977871/590295810358705651712 (.f64 (-.f64 6 z) (+.f64 (.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))) (.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (-.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))))))))) (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (+.f64 (.f64 (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))))) (*.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (-.f64 (/.f64 7041008316161153/562949953421312 (-.f64 5 z)) (+.f64 (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z)))))))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.5b	(.f64 (.f64 (sqrt.f64 PI.f64) (/.f64 (sqrt.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 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.9b	(.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 7 z) (+.f64 (.f64 (-.f64 6 z) (+.f64 (.f64 (-.f64 5 z) (+.f64 (.f64 (-.f64 4 z) (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) 3) (pow.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) 3)) (-.f64 3 z)) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) 848079078717083/1099511627776))) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (-.f64 3 z) -6214088902520669/35184372088832)))) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (-.f64 3 z) (.f64 (-.f64 4 z) 7041008316161153/562949953421312))))) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) -4992549864024149/36028797018963968))))) (.f64 5893731530977871/590295810358705651712 (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) (-.f64 6 z)))))) (.f64 (-.f64 7 z) (.f64 (+.f64 (.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (-.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (*.f64 (-.f64 5 z) (-.f64 6 z)))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.8b	(.f64 (/.f64 PI.f64 (sin.f64 (.f64 PI.f64 z))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.3b	(.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 7 z) (+.f64 (.f64 (-.f64 6 z) (+.f64 (.f64 (-.f64 5 z) (+.f64 (.f64 (-.f64 4 z) (+.f64 (.f64 (+.f64 (.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (-.f64 3 z)) (.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (.f64 (-.f64 2 z) 848079078717083/1099511627776)))) (.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (.f64 (-.f64 2 z) (.f64 (-.f64 3 z) -6214088902520669/35184372088832))))) (.f64 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (.f64 (.f64 (-.f64 2 z) (-.f64 3 z)) (.f64 (-.f64 4 z) 7041008316161153/562949953421312))))) (.f64 (.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) -4992549864024149/36028797018963968))))) (.f64 5893731530977871/590295810358705651712 (.f64 (.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) (-.f64 6 z)))))) (.f64 (-.f64 7 z) (.f64 (.f64 (-.f64 2 z) (+.f64 316912650056936879084143652025/316912650057057350374175801344 (.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)))) (.f64 (.f64 (-.f64 3 z) (-.f64 4 z)) (.f64 (-.f64 5 z) (-.f64 6 z)))))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	2.0b	(.f64 (/.f64 PI.f64 (sin.f64 (.f64 PI.f64 z))) (.f64 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 PI.f64))) (cbrt.f64 (sqrt.f64 (.f64 2 PI.f64)))) (cbrt.f64 (sqrt.f64 (.f64 2 PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z))) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.2b	(.f64 (+.f64 (/.f64 1 z) (.f64 1/6 (.f64 z (pow.f64 PI.f64 2)))) (.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 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	2.3b	(.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (/.f64 (cbrt.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 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (*.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	1.1b	(.f64 (/.f64 PI.f64 (sin.f64 (.f64 PI.f64 z))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2)) (+.f64 (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))
	42.7b	(.f64 (cbrt.f64 (pow.f64 (/.f64 PI.f64 (sin.f64 (.f64 PI.f64 z))) 3)) (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 PI.f64))) (exp.f64 z)) (exp.f64 -15/2)) (+.f64 (+.f64 (+.f64 777369958913643152449373/2951479051793528258560 (.f64 z 58027045549583850709031327/132816557330708771635200)) (.f64 (.f64 z z) 2533639962396748701166118939/4648579506574807007232000)) (/.f64 5688119651184367/37778931862957161709568 (-.f64 8 z)))))

Compiler

Compiled 3486 to 2709 computations (22.3% saved)

regimes1.3s (2.3%)

Accuracy

Total 0.4b remaining (78%)

Threshold costs 0.4b (78%)

Compiler

Compiled 26314 to 20972 computations (20.3% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
13×	`+-commutative_binary64`
11×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	133
1	98	133
2	111	133
3	113	133
4	114	133
5	113	133

end2.0ms (0%)

Compiler: Compiled 84 to 70 computations (16.7% saved)

sample46.9s (86.8%)

Algorithm

1×

intervals

Results

42.5s	3843×	body	8192	exit
2.4s	8000×	body	128	valid
197.0ms	11924×	pre	128	true
30.0ms	81×	body	128	invalid

Compiler

Compiled 1601 to 1319 computations (17.6% saved)

Details

analyze1.7s (3.2%)

sample1.3s (2.4%)

simplify53.0ms (0.1%)

prune13.0ms (0%)

localize62.0ms (0.1%)

rewrite392.0ms (0.7%)

series167.0ms (0.3%)

simplify169.0ms (0.3%)

prune264.0ms (0.5%)

localize32.0ms (0.1%)

rewrite196.0ms (0.4%)

series101.0ms (0.2%)

simplify122.0ms (0.2%)

prune131.0ms (0.2%)

localize32.0ms (0.1%)

rewrite188.0ms (0.3%)

series97.0ms (0.2%)

simplify133.0ms (0.2%)

prune122.0ms (0.2%)

localize34.0ms (0.1%)

rewrite202.0ms (0.4%)

series96.0ms (0.2%)

simplify114.0ms (0.2%)

prune132.0ms (0.2%)

regimes1.3s (2.3%)

simplify7.0ms (0%)

end2.0ms (0%)

sample46.9s (86.8%)

Profiling