Details

analyze242.0ms (3.3%)

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	87.4%	12.6%	6
20.3%	59.3%	20.4%	7
21.1%	51.5%	27.4%	8
35.5%	30.4%	34%	9
35.7%	26.1%	38.1%	10
42.8%	15.4%	41.8%	11
42.9%	13.2%	44%	12
46.4%	7.8%	45.8%	13
46.4%	6.6%	47%	14

Compiler

Compiled 30 to 26 computations (13.3% saved)

sample76.0ms (1%)

Algorithm

1×

intervals

Results

40.0ms	78×	body	1024	valid
12.0ms	135×	body	128	valid
7.0ms	27×	body	512	valid
4.0ms	4×	body	2048	valid
2.0ms	12×	body	256	valid
1.0ms	9×	body	128	invalid
0.0ms	3×	body	128	overflowed

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify228.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4933	41
1	4933	41

prune10.0ms (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

Merged error: 29.2b

Counts

2 → 1

Compiler

Compiled 112 to 96 computations (14.3% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 1 eps) x)
0.2b	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
0.2b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
1.0b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

rewrite102.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`frac-sub_binary64_432`
80×	`frac-times_binary64_433` `exp-neg_binary64_470`
60×	`exp-diff_binary64_471` `neg-sub0_binary64_418`
42×	`associate-*l/_binary64_366`
40×	`associate-*r/_binary64_365`
34×	`add-sqr-sqrt_binary64_445`
32×	`flip3--_binary64_427` `flip--_binary64_398`
30×	`flip-+_binary64_397` `flip3-+_binary64_426`
25×	`-un-lft-identity_binary64_423` `associate-l*_binary64_364`
20×	`un-div-inv_binary64_421`
10×	`add-cube-cbrt_binary64_458` `pow1_binary64_484` `add-cbrt-cube_binary64_459`
9×	`associate-r_binary64_363`
8×	`add-exp-log_binary64_461` `difference-of-squares_binary64_392`
6×	`times-frac_binary64_429` `add-log-exp_binary64_462`
3×	`pow-prod-down_binary64_494` `prod-exp_binary64_472` `*-commutative_binary64_354` `distribute-lft-out--_binary64_375` `difference-of-sqr-1_binary64_393` `unswap-sqr_binary64_391` `cbrt-unprod_binary64_456`
2×	`distribute-lft-out_binary64_374` `div-inv_binary64_420`
1×	`sub-neg_binary64_416` `diff-log_binary64_515` `cancel-sign-sub-inv_binary64_389`

Counts

4 → 183

Calls

4 calls:

22.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
18.0ms	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
15.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
8.0ms	(*.f64 (-.f64 1 eps) x)

series430.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

266.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
73.0ms	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
54.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
36.0ms	(*.f64 (-.f64 1 eps) x)

simplify134.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4969	9393
1	4969	9393

prune1.6s (21.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	193	2	195
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	194	2	196

Merged error: 0.2b

Counts

196 → 2

Compiler

Compiled 29707 to 24007 computations (19.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) 2/3)
6.8b	(-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) 2) (.f64 x x))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_445`
12×	`associate-l_binary64_364`
7×	`add-exp-log_binary64_461` `add-log-exp_binary64_462`
6×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
4×	`add-cbrt-cube_binary64_459` `cube-prod_binary64_451` `unswap-sqr_binary64_391` `unpow-prod-down_binary64_502`
3×	`prod-exp_binary64_472` `associate-r_binary64_363`
2×	`diff-log_binary64_515` `pow1_binary64_484` `sqr-pow_binary64_395`
1×	`associate--l+_binary64_360` `sub-neg_binary64_416` `pow-to-exp_binary64_492` `unpow3_binary64_489` `cancel-sign-sub-inv_binary64_389` `pow-exp_binary64_491` `flip3--_binary64_427` `*-commutative_binary64_354` `difference-of-squares_binary64_392` `cube-mult_binary64_453` `flip--_binary64_398` `sum-log_binary64_514` `cbrt-unprod_binary64_456`

Counts

2 → 46

Calls

2 calls:

9.0ms	(-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) 2) (.f64 x x))
7.0ms	(*.f64 (pow.f64 x 3) 2/3)

series93.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

55.0ms	(*.f64 (pow.f64 x 3) 2/3)
38.0ms	(-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) 2) (.f64 x x))

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5056	681

prune75.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	51	3	54

Merged error: 0.2b

Counts

54 → 3

Compiler

Compiled 1266 to 977 computations (22.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) 2/3)
0.9b	(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 2/3)))
6.8b	(-.f64 (+.f64 (exp.f64 (log.f64 (.f64 (pow.f64 x 3) 2/3))) 2) (.f64 x x))
46.5b	(log.f64 (*.f64 (pow.f64 x 3) 2/3))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_445`
15×	`add-exp-log_binary64_461`
12×	`associate-l_binary64_364`
9×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `add-log-exp_binary64_462`
6×	`prod-exp_binary64_472` `pow1_binary64_484` `add-cbrt-cube_binary64_459`
4×	`rem-log-exp_binary64_464` `cube-prod_binary64_451` `unswap-sqr_binary64_391` `unpow-prod-down_binary64_502` `exp-prod_binary64_475`
3×	`associate-r_binary64_363`
2×	`pow-to-exp_binary64_492` `diff-log_binary64_515` `pow-exp_binary64_491` `log-pow_binary64_512` `log-prod_binary64_509` `sqr-pow_binary64_395`
1×	`associate--l+_binary64_360` `sub-neg_binary64_416` `unpow3_binary64_489` `exp-sum_binary64_469` `cancel-sign-sub-inv_binary64_389` `rem-exp-log_binary64_463` `flip3--_binary64_427` `*-commutative_binary64_354` `difference-of-squares_binary64_392` `cube-mult_binary64_453` `flip--_binary64_398` `sum-log_binary64_514` `cbrt-unprod_binary64_456`

Counts

4 → 72

Calls

4 calls:

12.0ms	(-.f64 (+.f64 (exp.f64 (log.f64 (.f64 (pow.f64 x 3) 2/3))) 2) (.f64 x x))
7.0ms	(*.f64 (pow.f64 x 3) 2/3)
5.0ms	(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 2/3)))
5.0ms	(log.f64 (*.f64 (pow.f64 x 3) 2/3))

series648.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

303.0ms	(-.f64 (+.f64 (exp.f64 (log.f64 (.f64 (pow.f64 x 3) 2/3))) 2) (.f64 x x))
180.0ms	(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 2/3)))
114.0ms	(log.f64 (*.f64 (pow.f64 x 3) 2/3))
50.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify100.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4858	954
1	4858	954

prune96.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	84	3	87

Merged error: 0.2b

Counts

87 → 3

Compiler

Compiled 1685 to 1282 computations (23.9% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) 2/3)
0.9b	(pow.f64 E.f64 (log.f64 (*.f64 (pow.f64 x 3) 2/3)))
6.8b	(-.f64 (+.f64 (pow.f64 E.f64 (log.f64 (.f64 (pow.f64 x 3) 2/3))) 2) (.f64 x x))
46.5b	(log.f64 (*.f64 (pow.f64 x 3) 2/3))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_445`
16×	`add-exp-log_binary64_461`
12×	`associate-l_binary64_364`
10×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
9×	`add-log-exp_binary64_462`
7×	`pow1_binary64_484` `unpow-prod-down_binary64_502`
6×	`prod-exp_binary64_472` `add-cbrt-cube_binary64_459`
4×	`pow-exp_binary64_491` `rem-log-exp_binary64_464` `pow-unpow_binary64_500` `cube-prod_binary64_451` `unswap-sqr_binary64_391`
3×	`pow-to-exp_binary64_492` `associate-r_binary64_363` `sqr-pow_binary64_395`
2×	`diff-log_binary64_515` `log-pow_binary64_512` `log-prod_binary64_509`
1×	`associate--l+_binary64_360` `sub-neg_binary64_416` `unpow3_binary64_489` `cancel-sign-sub-inv_binary64_389` `flip3--_binary64_427` `unpow-prod-up_binary64_501` `*-commutative_binary64_354` `pow-pow_binary64_495` `difference-of-squares_binary64_392` `e-exp-1_binary64_468` `cube-mult_binary64_453` `flip--_binary64_398` `sum-log_binary64_514` `cbrt-unprod_binary64_456`

Counts

4 → 79

Calls

4 calls:

10.0ms	(-.f64 (+.f64 (pow.f64 E.f64 (log.f64 (.f64 (pow.f64 x 3) 2/3))) 2) (.f64 x x))
7.0ms	(*.f64 (pow.f64 x 3) 2/3)
6.0ms	(pow.f64 E.f64 (log.f64 (*.f64 (pow.f64 x 3) 2/3)))
5.0ms	(log.f64 (*.f64 (pow.f64 x 3) 2/3))

series821.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

407.0ms	(-.f64 (+.f64 (pow.f64 E.f64 (log.f64 (.f64 (pow.f64 x 3) 2/3))) 2) (.f64 x x))
256.0ms	(pow.f64 E.f64 (log.f64 (*.f64 (pow.f64 x 3) 2/3)))
109.0ms	(log.f64 (*.f64 (pow.f64 x 3) 2/3))
50.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4844	1086
1	4844	1086

prune96.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Merged error: 0.2b

Counts

94 → 3

Compiler

Compiled 1769 to 1278 computations (27.8% saved)

regimes62.0ms (0.8%)

Compiler: Compiled 118 to 110 computations (6.8% saved)

bsearch64.0ms (0.9%)

Steps

Iters	Range		Point
7	54.62303634000603	954.1838034138959	338.20821794227805

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	145	66
1	145	66

end0.0ms (0%)

sample2.2s (29.5%)

Algorithm

1×

intervals

Results

917.0ms	2019×	body	1024	valid
367.0ms	4261×	body	128	valid
269.0ms	1004×	body	512	valid
148.0ms	191×	body	2048	valid
90.0ms	525×	body	256	valid
23.0ms	257×	body	128	invalid
17.0ms	215×	body	128	overflowed
9.0ms	19×	body	1024	invalid
3.0ms	8×	body	512	invalid
1.0ms	4×	body	256	invalid

Compiler

Compiled 131 to 115 computations (12.2% saved)

Details

analyze242.0ms (3.3%)

sample76.0ms (1%)

simplify228.0ms (3.1%)

prune10.0ms (0.1%)

localize19.0ms (0.3%)

rewrite102.0ms (1.4%)

series430.0ms (5.9%)

simplify134.0ms (1.8%)

prune1.6s (21.7%)

localize8.0ms (0.1%)

rewrite20.0ms (0.3%)

series93.0ms (1.3%)

simplify55.0ms (0.8%)

prune75.0ms (1%)

localize12.0ms (0.2%)

rewrite34.0ms (0.5%)

series648.0ms (8.9%)

simplify100.0ms (1.4%)

prune96.0ms (1.3%)

localize16.0ms (0.2%)

rewrite34.0ms (0.5%)

series821.0ms (11.2%)

simplify84.0ms (1.2%)

prune96.0ms (1.3%)

regimes62.0ms (0.8%)

bsearch64.0ms (0.9%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.2s (29.5%)

Profiling