Details

analyze332.0ms (4.1%)

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)

sample57.0ms (0.7%)

Algorithm

1×

intervals

Results

44.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify79.0ms (1%)

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

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.6b	(/.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))))

Compiler

Compiled 88 to 62 computations (29.5% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(*.f64 PI.f64 t)
0.4b	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
0.5b	(/.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))))

rewrite303.0ms (3.7%)

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:

21.0ms	(/.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))))
17.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
8.0ms	(.f64 5 (.f64 v v))
6.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 3609 to 2138 computations (40.8% saved)

series200.0ms (2.5%)

Error

0.4b

Counts

4 → 22

Calls

4 calls:

128.0ms	(/.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))))
41.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
7.0ms	(.f64 5 (.f64 v v))
6.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 1810 to 1390 computations (23.2% saved)

simplify145.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

478×	`cancel-sign-sub-inv_binary64`
430×	`associate-l_binary64`
370×	`associate-r_binary64`
337×	`times-frac_binary64`
290×	`associate-/r*_binary64`

Counts

116 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	3669
1	712	3042
2	3536	3031
3	4863	3031
4	4996	3031
5	4964	3031

prune98.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	6	100

Error

0.3b

Counts

100 → 6

Alt Table

Status	Error	Program
✓	0.6b	(/.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))))
	33.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 t PI.f64)) (sqrt.f64 (.f64 t PI.f64))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
	0.6b	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3))))) (+.f64 -1 (*.f64 v v)))))
	33.4b	(.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 (.f64 v v) 3)))))))) (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 (*.f64 v v) 3)))))))))
	1.6b	(.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 (.f64 v v) 3)))))))) (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 (.f64 v v) 3))))))))) (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 (*.f64 v v) 3)))))))))
▶	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 3)))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 3085 to 1926 computations (37.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 3)
0.2b	(.f64 5 (.f64 v v))
0.3b	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 3)))) (-.f64 1 (*.f64 v v))))

rewrite163.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

39×	`add-cbrt-cube_binary64`
39×	`add-exp-log_binary64`
19×	`cbrt-unprod_binary64`
19×	`prod-exp_binary64`
19×	`pow1_binary64`

Counts

4 → 94

Calls

4 calls:

14.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 3)))) (-.f64 1 (*.f64 v v))))
8.0ms	(.f64 (.f64 v v) 3)
5.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
4.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 3616 to 2288 computations (36.7% saved)

series102.0ms (1.3%)

Error

0.3b

Counts

4 → 17

Calls

4 calls:

66.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 3)))) (-.f64 1 (*.f64 v v))))
9.0ms	(.f64 5 (.f64 v v))
8.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
7.0ms	(.f64 (.f64 v v) 3)

Compiler

Compiled 1368 to 1076 computations (21.3% saved)

simplify127.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

476×	`associate-l_binary64`
399×	`cancel-sign-sub-inv_binary64`
365×	`times-frac_binary64`
348×	`associate-r_binary64`
294×	`associate-/r*_binary64`

Counts

111 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	3483
1	704	2809
2	3494	2798
3	4963	2798
4	4960	2798

prune92.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	87	6	93

Error

0.3b

Counts

93 → 6

Alt Table

Status	Error	Program
	33.4b	(.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 (.f64 v v) 3)))))))) (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 (*.f64 v v) 3)))))))))
	42.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (*.f64 v v) 3)))))) 3))
✓	0.6b	(/.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))))
▶	0.6b	(.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 3))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v))))
	1.6b	(.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 (.f64 v v) 3)))))))) (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 (.f64 v v) 3))))))))) (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 (*.f64 v v) 3)))))))))
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 3)))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 2616 to 1721 computations (34.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 5)
0.4b	(.f64 PI.f64 (.f64 t (sqrt.f64 2)))
0.5b	(*.f64 t (sqrt.f64 2))
0.5b	(/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (*.f64 v v) 3)))))

rewrite141.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

50×	`add-exp-log_binary64`
30×	`add-cbrt-cube_binary64`
26×	`pow1_binary64`
25×	`prod-exp_binary64`
16×	`add-sqr-sqrt_binary64`

Counts

4 → 99

Calls

4 calls:

10.0ms	(/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (*.f64 v v) 3)))))
6.0ms	(*.f64 t (sqrt.f64 2))
5.0ms	(.f64 PI.f64 (.f64 t (sqrt.f64 2)))
5.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 3297 to 2198 computations (33.3% saved)

series81.0ms (1%)

Error

0.3b

Counts

4 → 17

Calls

4 calls:

47.0ms	(/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (*.f64 v v) 3)))))
10.0ms	(.f64 PI.f64 (.f64 t (sqrt.f64 2)))
8.0ms	(*.f64 t (sqrt.f64 2))
7.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 1378 to 1032 computations (25.1% saved)

simplify114.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

534×	`associate-/l*_binary64`
285×	`associate-*l/_binary64`
283×	`associate-l_binary64`
226×	`associate-r_binary64`
196×	`associate-/l/_binary64`

Counts

116 → 69

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	2215
1	409	1859
2	1649	1847
3	4185	1847
4	4616	1847
5	5006	1847

prune46.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	69	6	75

Error

0.3b

Counts

75 → 6

Alt Table

Status	Error	Program
✓	0.6b	(/.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))))
▶	1.5b	(.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v))))
	33.4b	(.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 (.f64 v v) 3)))))))) (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 (*.f64 v v) 3)))))))))
	42.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (*.f64 v v) 3)))))) 3))
✓	0.6b	(.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 3))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v))))
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 3)))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 1618 to 1097 computations (32.2% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))))
0.5b	(cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
0.5b	(cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
0.5b	(cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))

rewrite268.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

71×	`cbrt-prod_binary64`
30×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
21×	`times-frac_binary64`

Counts

4 → 117

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))))
10.0ms	(cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
8.0ms	(cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
8.0ms	(cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))

Compiler

Compiled 8980 to 6408 computations (28.6% saved)

series398.0ms (4.9%)

Error

0.3b

Counts

4 → 27

Calls

4 calls:

97.0ms	(.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))))
89.0ms	(cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
86.0ms	(cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
85.0ms	(cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))

Compiler

Compiled 6057 to 4713 computations (22.2% saved)

simplify228.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

282×	`*-commutative_binary64`
277×	`unswap-sqr_binary64`
245×	`times-frac_binary64`
209×	`associate-/r*_binary64`
202×	`exp-sum_binary64`

Counts

144 → 131

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	7010
1	424	6597
2	1149	5794
3	3227	5677
4	4912	5677
5	4918	5677

prune196.0ms (2.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	123	8	131
Fresh	0	2	2
Picked	1	0	1
Done	0	3	3
Total	124	13	137

Error

0.2b

Counts

137 → 13

Alt Table

Status	Error	Program
	30.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 t -2) (.f64 (pow.f64 PI.f64 2) (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 v v))))
	0.6b	(/.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))))
	1.4b	(.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 PI.f64 (sqrt.f64 2)) t) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (.f64 (.f64 (.f64 PI.f64 (sqrt.f64 2)) t) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v))))
	1.5b	(.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 PI.f64 (.f64 t (sqrt.f64 2))))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 (.f64 PI.f64 (sqrt.f64 2)) t) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v))))
	0.6b	(.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 3))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v))))
	33.4b	(.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 (.f64 v v) 3)))))))) (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 (*.f64 v v) 3)))))))))
	42.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (*.f64 v v) 3)))))) 3))
	2.3b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 (.f64 PI.f64 (sqrt.f64 2)) t) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) 6)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 (.f64 PI.f64 (sqrt.f64 2)) t) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) 6))) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 (.f64 PI.f64 (sqrt.f64 2)) t) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 (.f64 PI.f64 (sqrt.f64 2)) t) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))))) (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v))))
	1.5b	(.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (sqrt.f64 2)) t))) (pow.f64 (/.f64 1 (-.f64 1 (.f64 3 (.f64 v v)))) 1/6))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v))))
	33.7b	(.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (.f64 (.f64 (.f64 PI.f64 (sqrt.f64 2)) t) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (/.f64 1 (.f64 (.f64 (.f64 PI.f64 (sqrt.f64 2)) t) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v))))
	33.7b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 (.f64 PI.f64 (sqrt.f64 2)) t) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (sqrt.f64 (/.f64 1 (.f64 (.f64 (.f64 PI.f64 (sqrt.f64 2)) t) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))))) (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v))))
	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 3)))) (-.f64 1 (*.f64 v v))))
	1.4b	(.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 (.f64 PI.f64 (sqrt.f64 2)) t) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (/.f64 1 (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 v v))))

Compiler

Compiled 8262 to 5913 computations (28.4% saved)

regimes2.2s (26.8%)

Accuracy

Total 0.2b remaining (69.2%)

Threshold costs 0.2b (69.2%)

Compiler

Compiled 67923 to 49103 computations (27.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`distribute-rgt-neg-in_binary64`
5×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	45
1	43	45
2	61	45
3	69	45
4	73	45
5	70	45

end1.0ms (0%)

Compiler: Compiled 31 to 22 computations (29% saved)

sample2.7s (33%)

Algorithm

1×

intervals

Results

1.4s	8000×	body	128	valid
1.0ms	8×	body	128	nan

Compiler

Compiled 902 to 660 computations (26.8% saved)

Details

analyze332.0ms (4.1%)

sample57.0ms (0.7%)

simplify79.0ms (1%)

prune6.0ms (0.1%)

localize29.0ms (0.4%)

rewrite303.0ms (3.7%)

series200.0ms (2.5%)

simplify145.0ms (1.8%)

prune98.0ms (1.2%)

localize16.0ms (0.2%)

rewrite163.0ms (2%)

series102.0ms (1.3%)

simplify127.0ms (1.6%)

prune92.0ms (1.1%)

localize19.0ms (0.2%)

rewrite141.0ms (1.7%)

series81.0ms (1%)

simplify114.0ms (1.4%)

prune46.0ms (0.6%)

localize29.0ms (0.4%)

rewrite268.0ms (3.3%)

series398.0ms (4.9%)

simplify228.0ms (2.8%)

prune196.0ms (2.4%)

regimes2.2s (26.8%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample2.7s (33%)

Profiling