Details

analyze805.0ms (17.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

sample84.0ms (1.8%)

Algorithm

1×

intervals

Results

46.0ms	108×	body	2560	valid
18.0ms	65×	body	1280	valid
8.0ms	40×	body	640	valid
3.0ms	19×	body	320	valid
2.0ms	19×	body	160	valid
0.0ms	5×	body	80	valid
0.0ms	1×	body	80	nan

simplify117.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5797	14

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

Merged error: 0.6b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))
0.1b	(.f64 5.0 (.f64 v v))
0.6b	(acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`times-frac_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
4×	`associate-/r*_binary64` `difference-of-squares_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`acos-asin_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

3 → 63

Calls

3 calls:

8.0ms	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))
6.0ms	(.f64 5.0 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

series15.0ms (0.3%)

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))
4.0ms	(.f64 5.0 (.f64 v v))
4.0ms	(acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4960	1050
1	4960	1050

prune101.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	3	73

Merged error: 0.6b

Counts

73 → 3

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0))
0.6b	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`flip3-+_binary64` `acos-asin_binary64` `associate-r_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 28

Calls

2 calls:

10.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0))
1.0ms	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))

series19.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0))
4.0ms	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5085	382

prune47.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Merged error: 0.6b

Counts

37 → 3

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))
1.0b	(sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
1.0b	(sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
1.0b	(.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))) (sqrt.f64 (acos.f64 (-.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
8×	`swap-sqr_binary64`
6×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`rem-sqrt-square_binary64`
1×	`cbrt-unprod_binary64` `acos-asin_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))) (sqrt.f64 (acos.f64 (-.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))))
1.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
1.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
1.0ms	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))

series36.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
12.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
5.0ms	(.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))) (sqrt.f64 (acos.f64 (-.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))))
4.0ms	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))

simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4907	1280
1	4907	1280

prune149.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	94	4	98

Merged error: 0.5b

Counts

98 → 4

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (.f64 v v) 1.0)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))))

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

5.0ms	(.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (.f64 v v) 1.0)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))))

series208.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (.f64 v v) 1.0)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))))
49.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
48.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
47.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))))

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5496	1672

prune165.0ms (3.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	83	6	89

Merged error: 0.5b

Counts

89 → 6

regimes201.0ms (4.4%)

Accuracy

Total 0.2b remaining (27.8%)

Threshold costs 0.2b (27.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

end0.0ms (0%)

sample2.3s (50.6%)

Algorithm

1×

intervals

Results

1.1s	2949×	body	2560	valid
679.0ms	2548×	body	1280	valid
242.0ms	1255×	body	640	valid
84.0ms	605×	body	320	valid
41.0ms	423×	body	160	valid
15.0ms	220×	body	80	valid
0.0ms	4×	body	80	nan

Details

analyze805.0ms (17.4%)

sample84.0ms (1.8%)

simplify117.0ms (2.5%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite17.0ms (0.4%)

series15.0ms (0.3%)

simplify75.0ms (1.6%)

prune101.0ms (2.2%)

localize8.0ms (0.2%)

rewrite12.0ms (0.3%)

series19.0ms (0.4%)

simplify37.0ms (0.8%)

prune47.0ms (1%)

localize11.0ms (0.2%)

rewrite13.0ms (0.3%)

series36.0ms (0.8%)

simplify63.0ms (1.4%)

prune149.0ms (3.2%)

localize12.0ms (0.3%)

rewrite11.0ms (0.2%)

series208.0ms (4.5%)

simplify67.0ms (1.5%)

prune165.0ms (3.6%)

regimes201.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (50.6%)

Profiling