Details

analyze179.0ms (3.4%)

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)

sample31.0ms (0.6%)

Algorithm

1×

intervals

Results

22.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify49.0ms (0.9%)

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

prune4.0ms (0.1%)

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

0.4b

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 (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 3 (.f64 v v))
0.2b	(*.f64 PI.f64 t)
0.3b	(/.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 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

rewrite155.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

30×	`add-cbrt-cube_binary64`
30×	`add-exp-log_binary64`
18×	`associate-*r/_binary64`
16×	`pow1_binary64`
13×	`add-sqr-sqrt_binary64`

Counts

4 → 94

Calls

4 calls:

14.0ms	(/.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))))
7.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
4.0ms	(.f64 3 (.f64 v v))
3.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 3609 to 2138 computations (40.8% saved)

series138.0ms (2.6%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

74.0ms	(/.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))))
32.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
6.0ms	(.f64 3 (.f64 v v))
6.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 1955 to 1498 computations (23.4% saved)

simplify103.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

674×	`cancel-sign-sub-inv_binary64`
447×	`associate-l_binary64`
405×	`associate-r_binary64`
397×	`times-frac_binary64`
314×	`associate-/r*_binary64`

Counts

118 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	3833
1	768	3233
2	3935	3231
3	5472	3231

prune87.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Error

0.1b

Counts

94 → 9

Alt Table

Status	Error	Program
	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)))))
	44.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 3)) (-.f64 1 (*.f64 v v))))
	1.2b	(+.f64 (/.f64 1 (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) (.f64 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) -5/2))
	0.6b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 PI.f64) (.f64 t (sqrt.f64 PI.f64))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))
▶	0.4b	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v)))))
	31.9b	(.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	1.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	44.9b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))) 3))
	1.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 3205 to 2046 computations (36.2% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 3 (.f64 v v))
0.3b	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v)))))
0.3b	(.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v))))
0.4b	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))

rewrite190.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 108

Calls

4 calls:

14.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v)))))
13.0ms	(.f64 3 (.f64 v v))
13.0ms	(.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v))))
6.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))

Compiler

Compiled 4396 to 2728 computations (37.9% saved)

series183.0ms (3.5%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

73.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v)))))
43.0ms	(.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v))))
29.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
6.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 2469 to 1934 computations (21.7% saved)

simplify125.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

564×	`associate-r_binary64`
555×	`associate-l_binary64`
499×	`cancel-sign-sub-inv_binary64`
289×	`*-commutative_binary64`
239×	`associate-/r*_binary64`

Counts

138 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	5051
1	928	4315
2	3978	4313
3	5352	4313

prune115.0ms (2.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	105	9	114

Error

0.0b

Counts

114 → 9

Alt Table

Status	Error	Program
	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)))))
	44.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) 3)) (-.f64 1 (*.f64 v v))))
▶	0.3b	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))))
	1.2b	(+.f64 (/.f64 1 (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) (.f64 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) -5/2))
	0.6b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 PI.f64) (.f64 t (sqrt.f64 PI.f64))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))
	31.9b	(.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	1.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	44.9b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))) 3))
	1.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 3603 to 2369 computations (34.2% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 3 (.f64 v v))
0.3b	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
0.4b	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
0.4b	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))))

rewrite232.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

80×	`add-exp-log_binary64`
52×	`add-cbrt-cube_binary64`
35×	`prod-exp_binary64`
33×	`associate-*r/_binary64`
28×	`add-sqr-sqrt_binary64`

Counts

4 → 140

Calls

4 calls:

25.0ms	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))))
14.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
7.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
6.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 6232 to 4004 computations (35.8% saved)

series190.0ms (3.6%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

69.0ms	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))))
59.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
28.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
7.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 2432 to 1963 computations (19.3% saved)

simplify152.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

464×	`times-frac_binary64`
418×	`associate-r_binary64`
373×	`associate-l_binary64`
344×	`associate-/r*_binary64`
238×	`div-sub_binary64`

Counts

170 → 154

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	342	7209
1	964	6018
2	4458	6018
3	5240	6018

prune163.0ms (3.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	149	5	154
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	154	9	163

Error

Counts

163 → 9

Alt Table

Status	Error	Program
	0.8b	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 (.f64 t (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3)))))) (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
▶	0.3b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) PI.f64) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
	1.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) (.f64 (-.f64 (.f64 v v) 1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3))))))) (cbrt.f64 PI.f64)))
	0.3b	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v 3) v))))))))
	0.6b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 PI.f64) (.f64 t (sqrt.f64 PI.f64))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))
	0.3b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) (.f64 (-.f64 (.f64 v v) 1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3))))))) PI.f64)
	31.9b	(.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	1.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.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 5083 to 3359 computations (33.9% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 v v) 5)
0.1b	(.f64 3 (.f64 v v))
0.3b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) PI.f64) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
0.4b	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))

rewrite183.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-cbrt-cube_binary64`
37×	`add-exp-log_binary64`
31×	`times-frac_binary64`
26×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`

Counts

4 → 118

Calls

4 calls:

15.0ms	(/.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) PI.f64) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
6.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
4.0ms	(.f64 3 (.f64 v v))
4.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 4639 to 2878 computations (38% saved)

series149.0ms (2.8%)

Error

Counts

4 → 24

Calls

4 calls:

82.0ms	(/.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) PI.f64) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
29.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
10.0ms	(.f64 3 (.f64 v v))
7.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 1927 to 1499 computations (22.2% saved)

simplify123.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

359×	`associate-l_binary64`
336×	`associate-/r*_binary64`
334×	`associate-r_binary64`
311×	`cancel-sign-sub-inv_binary64`
242×	`times-frac_binary64`

Counts

142 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	329	5056
1	876	4372
2	3781	4361
3	5046	4361

prune97.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	100	9	109

Error

Counts

109 → 9

Alt Table

Status	Error	Program
	0.8b	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 (.f64 t (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3)))))) (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	0.3b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) PI.f64) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
	0.3b	(.f64 (/.f64 1 (+.f64 (.f64 v v) -1)) (/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) PI.f64) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
	31.9b	(.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	1.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) (.f64 (-.f64 (.f64 v v) 1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3))))))) (cbrt.f64 PI.f64)))
	0.3b	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v 3) v))))))))
	0.6b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 PI.f64) (.f64 t (sqrt.f64 PI.f64))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))
	0.3b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) (.f64 (-.f64 (.f64 v v) 1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3))))))) PI.f64)
	1.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))

Compiler

Compiled 3064 to 1973 computations (35.6% saved)

regimes1.4s (26.6%)

Accuracy

Total 0.2b remaining (82.5%)

Threshold costs 0.2b (82.5%)

Compiler

Compiled 41186 to 28898 computations (29.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`distribute-lft-neg-in_binary64`
3×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	43
1	37	43
2	44	43
3	51	43
4	56	43
5	59	43
6	60	43
7	57	43

end1.0ms (0%)

Compiler: Compiled 30 to 21 computations (30% saved)

sample1.2s (22%)

Algorithm

1×

intervals

Results

728.0ms	8000×	body	128	valid
1.0ms	9×	body	128	nan

Compiler

Compiled 457 to 314 computations (31.3% saved)

Details

analyze179.0ms (3.4%)

sample31.0ms (0.6%)

simplify49.0ms (0.9%)

prune4.0ms (0.1%)

localize16.0ms (0.3%)

rewrite155.0ms (2.9%)

series138.0ms (2.6%)

simplify103.0ms (1.9%)

prune87.0ms (1.6%)

localize17.0ms (0.3%)

rewrite190.0ms (3.6%)

series183.0ms (3.5%)

simplify125.0ms (2.4%)

prune115.0ms (2.2%)

localize18.0ms (0.3%)

rewrite232.0ms (4.4%)

series190.0ms (3.6%)

simplify152.0ms (2.9%)

prune163.0ms (3.1%)

localize17.0ms (0.3%)

rewrite183.0ms (3.4%)

series149.0ms (2.8%)

simplify123.0ms (2.3%)

prune97.0ms (1.8%)

regimes1.4s (26.6%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.2s (22%)

Profiling