Details

analyze14.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample278.0ms (0.4%)

Algorithm

1×

intervals

Results

179.0ms	133×	body	1024	valid
40.0ms	70×	body	512	valid
16.0ms	30×	body	256	valid
10.0ms	12×	body	2048	valid
5.0ms	11×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify993.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (625.0ms)

Iter	Nodes	Cost
0	5283	12

prune20.0ms (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

Merged error: 59.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize27.0ms (0%)

Local error

Found 1 expressions with local error:

4.5b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite56.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_419`
30×	`log-prod_binary64_505`
24×	`times-frac_binary64_425` `add-sqr-sqrt_binary64_441`
12×	`add-cube-cbrt_binary64_454`
8×	`difference-of-squares_binary64_388`
6×	`distribute-lft-out_binary64_370`
4×	`distribute-lft-out--_binary64_371` `add-exp-log_binary64_457`
2×	`rem-log-exp_binary64_460` `associate-/r/_binary64_365` `pow1_binary64_480`
1×	`flip3-+_binary64_422` `add-log-exp_binary64_458` `div-inv_binary64_416` `log-pow_binary64_508` `flip-+_binary64_393` `add-cbrt-cube_binary64_455` `log-div_binary64_506` `div-exp_binary64_470`

Counts

1 → 41

Calls

1 calls:

34.0ms

(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series132.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

132.0ms

(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

simplify445.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (382.0ms)

Iter	Nodes	Cost
0	4865	948
1	4865	948

prune508.0ms (0.6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	23	21	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	22	45

Merged error: 0.0b

Counts

45 → 22

Compiler

Compiled 1040 to 844 computations (18.8% saved)

localize52.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (.f64 2/5 (pow.f64 eps 5)))
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 (pow.f64 eps 3) -2/3)

rewrite91.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_441`
15×	`associate-l_binary64_360`
13×	`add-exp-log_binary64_457`
10×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359`
8×	`unpow-prod-down_binary64_498`
7×	`unswap-sqr_binary64_387` `add-cbrt-cube_binary64_455`
6×	`prod-exp_binary64_468`
5×	`add-log-exp_binary64_458`
4×	`sqr-pow_binary64_391` `cube-prod_binary64_447`
3×	`pow1_binary64_480`
2×	`cbrt-unprod_binary64_452` `pow-exp_binary64_487` `pow-to-exp_binary64_488` `*-commutative_binary64_350`
1×	`sub-neg_binary64_412` `unpow3_binary64_485` `cube-mult_binary64_449` `flip3--_binary64_423` `diff-log_binary64_511` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`

Counts

3 → 68

Calls

3 calls:

29.0ms	(*.f64 (pow.f64 eps 3) -2/3)
23.0ms	(*.f64 2/5 (pow.f64 eps 5))
20.0ms	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (.f64 2/5 (pow.f64 eps 5)))

series607.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

384.0ms	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (.f64 2/5 (pow.f64 eps 5)))
127.0ms	(*.f64 2/5 (pow.f64 eps 5))
95.0ms	(*.f64 (pow.f64 eps 3) -2/3)

simplify304.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (240.0ms)

Iter	Nodes	Cost
0	4898	912
1	4898	912

prune2.2s (2.8%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	63	14	77
Fresh	3	17	20
Picked	0	1	1
Done	0	1	1
Total	66	33	99

Merged error: 0.0b

Counts

99 → 33

Compiler

Compiled 2165 to 1765 computations (18.5% saved)

localize64.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))) (cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (*.f64 2/5 (pow.f64 eps 5)))))
41.7b	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))
41.7b	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))
41.7b	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))

rewrite190.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_450`
23×	`add-sqr-sqrt_binary64_441`
18×	`cbrt-div_binary64_451`
15×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
11×	`pow1_binary64_480`
9×	`pow1/3_binary64_501` `flip3--_binary64_423` `flip--_binary64_394`
6×	`associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360` `add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `frac-times_binary64_429` `add-cbrt-cube_binary64_455`
2×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `associate-r/_binary64_361` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 87

Calls

4 calls:

65.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))) (cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (*.f64 2/5 (pow.f64 eps 5)))))
20.0ms	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))
20.0ms	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))
16.0ms	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))

series1.8s (2.3%)

Counts

4 → 12

Calls

4 calls:

527.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))) (cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (*.f64 2/5 (pow.f64 eps 5)))))
485.0ms	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))
404.0ms	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))
396.0ms	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))

simplify470.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (367.0ms)

Iter	Nodes	Cost
0	4899	3255
1	4899	3255

prune4.5s (5.7%)

Pruning

59 alts after pruning (56 fresh and 3 done)

	Pruned	Kept	Total
New	73	26	99
Fresh	0	30	30
Picked	0	1	1
Done	0	2	2
Total	73	59	132

Merged error: 0.0b

Counts

132 → 59

Compiler

Compiled 7080 to 5958 computations (15.8% saved)

localize69.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 -2/3 (pow.f64 eps 3))
0.2b	(pow.f64 (cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))) 2)
41.7b	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))
41.7b	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))

rewrite123.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_441`
13×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
12×	`associate-r_binary64_359`
10×	`unpow-prod-down_binary64_498` `add-exp-log_binary64_457`
9×	`cbrt-prod_binary64_450`
6×	`add-cbrt-cube_binary64_455`
5×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `cbrt-div_binary64_451` `unswap-sqr_binary64_387` `cube-prod_binary64_447`
3×	`pow1/3_binary64_501` `prod-exp_binary64_468` `sqr-pow_binary64_391` `associate-l_binary64_360` `pow-unpow_binary64_496`
2×	`pow-exp_binary64_487` `flip3--_binary64_423` `pow-to-exp_binary64_488` `pow-pow_binary64_491` `flip--_binary64_394`
1×	`unpow3_binary64_485` `cube-mult_binary64_449` `cbrt-unprod_binary64_452` `*-commutative_binary64_350` `unpow2_binary64_484`

Counts

4 → 79

Calls

4 calls:

33.0ms	(*.f64 -2/3 (pow.f64 eps 3))
23.0ms	(pow.f64 (cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))) 2)
21.0ms	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))
19.0ms	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))

series1.7s (2.1%)

Counts

4 → 12

Calls

4 calls:

724.0ms	(pow.f64 (cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))) 2)
450.0ms	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))
393.0ms	(cbrt.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5))))
105.0ms	(*.f64 -2/3 (pow.f64 eps 3))

simplify463.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (341.0ms)

Iter	Nodes	Cost
0	4950	1996
1	4950	1996

prune6.5s (8.2%)

Pruning

73 alts after pruning (69 fresh and 4 done)

	Pruned	Kept	Total
New	72	19	91
Fresh	5	50	55
Picked	0	1	1
Done	0	3	3
Total	77	73	150

Merged error: 0.0b

Counts

150 → 73

Compiler

Compiled 3538 to 2965 computations (16.2% saved)

regimes8.7s (11%)

Compiler: Compiled 23652 to 20331 computations (14% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	22
1	47	22

end0.0ms (0%)

sample48.8s (61.8%)

Algorithm

1×

intervals

Results

5.0s	4035×	body	1024	valid
1.3s	1975×	body	512	valid
759.0ms	397×	body	2048	valid
370.0ms	1001×	body	256	valid
132.0ms	592×	body	128	valid

Compiler

Compiled 7817 to 6720 computations (14% saved)

Pareto

Details

analyze14.0ms (0%)

sample278.0ms (0.4%)

simplify993.0ms (1.3%)

prune20.0ms (0%)

localize27.0ms (0%)

rewrite56.0ms (0.1%)

series132.0ms (0.2%)

simplify445.0ms (0.6%)

prune508.0ms (0.6%)

localize52.0ms (0.1%)

rewrite91.0ms (0.1%)

series607.0ms (0.8%)

simplify304.0ms (0.4%)

prune2.2s (2.8%)

localize64.0ms (0.1%)

rewrite190.0ms (0.2%)

series1.8s (2.3%)

simplify470.0ms (0.6%)

prune4.5s (5.7%)

localize69.0ms (0.1%)

rewrite123.0ms (0.2%)

series1.7s (2.1%)

simplify463.0ms (0.6%)

prune6.5s (8.2%)

regimes8.7s (11%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample48.8s (61.8%)

Profiling