Details

analyze149.0ms (1.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 31 to 22 computations (29% saved)

sample30.0ms (0.2%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64`
719×	`distribute-neg-frac_binary64`
509×	`associate-/r*_binary64`
353×	`associate-/l*_binary64`
343×	`div-sub_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	58	43
2	179	40
3	803	40
4	3764	40
5	4802	40
6	4990	40

prune5.0ms (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

0.3b

Counts

2 → 2

Alt Table

Status	Error	Program
	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
▶	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))

Status

Error

Program

0.4b

(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))

▶

0.4b

(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 144 to 102 computations (29.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(*.f64 PI.f64 t)
0.2b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
0.4b	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))

rewrite223.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-cbrt-cube_binary64`
34×	`add-exp-log_binary64`
20×	`pow1_binary64`
16×	`associate-*r/_binary64`
16×	`cbrt-unprod_binary64`

Counts

4 → 113

Calls

4 calls:

16.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
13.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
5.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 4225 to 2542 computations (39.8% saved)

series172.0ms (1.3%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

75.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
47.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
9.0ms	(.f64 5 (.f64 v v))
8.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 2077 to 1572 computations (24.3% saved)

simplify132.0ms (1%)

Algorithm

1×	egg-herbie

Rules

572×	`times-frac_binary64`
531×	`associate-r_binary64`
482×	`associate-l_binary64`
387×	`associate-/r*_binary64`
242×	`associate-/l*_binary64`

Counts

137 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	341	4992
1	989	4342
2	4670	4315
3	5017	4315

prune229.0ms (1.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	112	6	118
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	114	6	120

Error

0.0b

Counts

120 → 6

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (.f64 (.f64 t PI.f64) (neg.f64 (.f64 v v))))))
	0.7b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (.f64 v v) 6)))))
	0.4b	(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
	1.4b	(-.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t PI.f64)) (.f64 3/4 (/.f64 (.f64 v v) (.f64 (.f64 t PI.f64) (sqrt.f64 1/2))))) (.f64 4 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 t PI.f64)) (*.f64 v v))))
	0.4b	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
	1.1b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 (cbrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (cbrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64)) (sqrt.f64 (cbrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))))

Compiler

Compiled 3509 to 2180 computations (37.9% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 t PI.f64)
0.2b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (.f64 (.f64 t PI.f64) (neg.f64 (.f64 v v))))))
0.3b	(.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (.f64 (.f64 t PI.f64) (neg.f64 (.f64 v v))))
8.0b	(.f64 (.f64 t PI.f64) (neg.f64 (*.f64 v v)))

rewrite221.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-cbrt-cube_binary64`
22×	`add-exp-log_binary64`
20×	`pow1_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`

Counts

4 → 103

Calls

4 calls:

14.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (.f64 (.f64 t PI.f64) (neg.f64 (.f64 v v))))))
14.0ms	(.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (.f64 (.f64 t PI.f64) (neg.f64 (.f64 v v))))
6.0ms	(.f64 (.f64 t PI.f64) (neg.f64 (*.f64 v v)))
4.0ms	(*.f64 t PI.f64)

Compiler

Compiled 5442 to 2846 computations (47.7% saved)

series221.0ms (1.7%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

100.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (.f64 (.f64 t PI.f64) (neg.f64 (.f64 v v))))))
47.0ms	(.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (.f64 (.f64 t PI.f64) (neg.f64 (.f64 v v))))
27.0ms	(.f64 (.f64 t PI.f64) (neg.f64 (*.f64 v v)))
12.0ms	(*.f64 t PI.f64)

Compiler

Compiled 2703 to 2011 computations (25.6% saved)

simplify177.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

579×	`associate-r_binary64`
529×	`associate-l_binary64`
269×	`log-prod_binary64`
247×	`*-commutative_binary64`
153×	`cube-prod_binary64`

Counts

130 → 103

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	309	5593
1	905	4425
2	4062	4425
3	4979	4425
4	5053	4425

prune151.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	102	7	109

Error

0.0b

Counts

109 → 7

Alt Table

Status	Error	Program
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (.f64 (.f64 t PI.f64) (neg.f64 (.f64 v v))))))
	0.7b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (.f64 v v) 6)))))
▶	0.4b	(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
	1.4b	(-.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t PI.f64)) (.f64 3/4 (/.f64 (.f64 v v) (.f64 (.f64 t PI.f64) (sqrt.f64 1/2))))) (.f64 4 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 t PI.f64)) (*.f64 v v))))
	41.6b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (+.f64 (pow.f64 (.f64 (neg.f64 (.f64 t (.f64 (.f64 v v) PI.f64))) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) 3) (pow.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) 3))) (+.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))) (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (.f64 (.f64 t PI.f64) (neg.f64 (.f64 v v)))) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (.f64 (.f64 t PI.f64) (neg.f64 (.f64 v v))))) (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (.f64 (.f64 t PI.f64) (neg.f64 (.f64 v v))))))))
	0.4b	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
	1.1b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 (cbrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (cbrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64)) (sqrt.f64 (cbrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))))

Compiler

Compiled 4391 to 2492 computations (43.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(*.f64 t PI.f64)
0.5b	(/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
1.0b	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

rewrite284.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

78×	`times-frac_binary64`
54×	`add-exp-log_binary64`
51×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
48×	`add-cube-cbrt_binary64`

Counts

4 → 164

Calls

4 calls:

15.0ms	(/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
6.0ms	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
5.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 t PI.f64)

Compiler

Compiled 5766 to 3560 computations (38.3% saved)

series121.0ms (0.9%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

63.0ms	(/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
16.0ms	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
8.0ms	(.f64 5 (.f64 v v))
7.0ms	(*.f64 t PI.f64)

Compiler

Compiled 1900 to 1403 computations (26.2% saved)

simplify140.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

608×	`associate-/l/_binary64`
257×	`associate-/r*_binary64`
234×	`times-frac_binary64`
233×	`associate-r_binary64`
223×	`cancel-sign-sub-inv_binary64`

Counts

185 → 140

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	5486
1	747	4831
2	2899	4756
3	5245	4756

prune162.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	140	7	147

Error

0.0b

Counts

147 → 7

Alt Table

Status	Error	Program
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (.f64 (.f64 t PI.f64) (neg.f64 (.f64 v v))))))
	0.7b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (.f64 v v) 6)))))
✓	0.4b	(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
	0.5b	(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (/.f64 (.f64 t PI.f64) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (-.f64 1 (*.f64 v v))))))
▶	0.4b	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
	1.1b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 (cbrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (cbrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64)) (sqrt.f64 (cbrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))))
	0.7b	(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 (pow.f64 (-.f64 2 (.f64 (.f64 v v) 6)) -1/2) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))

Compiler

Compiled 3336 to 2148 computations (35.6% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 t PI.f64)
0.3b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
0.4b	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
1.0b	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

rewrite614.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

79×	`add-exp-log_binary64`
52×	`add-sqr-sqrt_binary64`
49×	`add-cbrt-cube_binary64`
46×	`times-frac_binary64`
40×	`*-un-lft-identity_binary64`

Counts

4 → 167

Calls

4 calls:

47.0ms	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
20.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
11.0ms	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
7.0ms	(*.f64 t PI.f64)

Compiler

Compiled 6368 to 3852 computations (39.5% saved)

series346.0ms (2.7%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

152.0ms	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
78.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
33.0ms	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
18.0ms	(*.f64 t PI.f64)

Compiler

Compiled 2196 to 1638 computations (25.4% saved)

simplify584.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

493×	`times-frac_binary64`
331×	`associate-r_binary64`
331×	`associate-/r*_binary64`
290×	`associate-l_binary64`
249×	`associate-/l*_binary64`

Counts

194 → 150

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	329	7230
1	915	6142
2	4191	6142
3	4983	6142

prune312.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	150	7	157

Error

Counts

157 → 7

Alt Table

Status	Error	Program
	0.4b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 PI.f64 (-.f64 1 (.f64 v v))))) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))
	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (.f64 (.f64 t PI.f64) (neg.f64 (.f64 v v))))))
	0.4b	(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
	0.7b	(.f64 (pow.f64 (-.f64 2 (.f64 (.f64 v v) 6)) -1/2) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
	0.5b	(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (/.f64 (.f64 t PI.f64) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (-.f64 1 (*.f64 v v))))))
	1.1b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 (cbrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (cbrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64)) (sqrt.f64 (cbrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))))
	0.7b	(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 (pow.f64 (-.f64 2 (.f64 (.f64 v v) 6)) -1/2) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))

Compiler

Compiled 3672 to 2294 computations (37.5% saved)

regimes5.7s (44.9%)

Accuracy

Total 0.3b remaining (85.8%)

Threshold costs 0.3b (85.8%)

Compiler

Compiled 59435 to 41613 computations (30% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	60
1	50	60
2	75	58
3	98	58
4	112	58
5	120	58
6	123	58
7	120	58

end2.0ms (0%)

Compiler: Compiled 39 to 25 computations (35.9% saved)

sample2.6s (20.5%)

Algorithm

1×

intervals

Results

1.7s	8000×	body	128	valid
1.0ms	6×	body	128	nan
0.0ms	2×	body	128	invalid

Compiler

Compiled 319 to 221 computations (30.7% saved)

Details

analyze149.0ms (1.2%)

sample30.0ms (0.2%)

simplify53.0ms (0.4%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite223.0ms (1.7%)

series172.0ms (1.3%)

simplify132.0ms (1%)

prune229.0ms (1.8%)

localize20.0ms (0.2%)

rewrite221.0ms (1.7%)

series221.0ms (1.7%)

simplify177.0ms (1.4%)

prune151.0ms (1.2%)

localize16.0ms (0.1%)

rewrite284.0ms (2.2%)

series121.0ms (0.9%)

simplify140.0ms (1.1%)

prune162.0ms (1.3%)

localize32.0ms (0.3%)

rewrite614.0ms (4.8%)

series346.0ms (2.7%)

simplify584.0ms (4.6%)

prune312.0ms (2.4%)

regimes5.7s (44.9%)

simplify10.0ms (0.1%)

end2.0ms (0%)

sample2.6s (20.5%)

Profiling