Details

analyze1.1s (7.3%)

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
25%	62.4%	12.6%	5
25%	56.2%	18.8%	6
28.1%	50%	22%	7
28.1%	46.8%	25.1%	8
29.7%	41.4%	29%	9
29.7%	39.4%	30.9%	10
31.1%	35.8%	33.1%	11
31.1%	34.4%	34.5%	12
31.5%	32.9%	35.6%	13
31.5%	32.1%	36.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample201.0ms (1.3%)

Algorithm

1×

intervals

Results

49.0ms	96×	body	1024	valid
43.0ms	47×	body	1024	nan
30.0ms	47×	body	2048	valid
15.0ms	77×	body	128	overflowed
12.0ms	22×	body	512	nan
11.0ms	32×	body	512	valid
6.0ms	62×	body	128	valid
6.0ms	6×	body	1024	invalid
4.0ms	19×	body	256	valid
4.0ms	16×	body	256	nan
3.0ms	6×	body	512	invalid
2.0ms	23×	body	128	nan
2.0ms	6×	body	256	invalid
1.0ms	5×	body	128	invalid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify235.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5176	19

prune2.0ms (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: 34.4b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 x (/.f64 1 n))
0.3b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
3.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_435`
28×	`*-un-lft-identity_binary64_414`
26×	`pow-unpow_binary64_488`
19×	`add-cube-cbrt_binary64_446`
18×	`times-frac_binary64_420`
17×	`unpow-prod-down_binary64_490`
9×	`difference-of-squares_binary64_383`
8×	`sqr-pow_binary64_386`
5×	`pow1_binary64_472` `add-exp-log_binary64_449` `add-log-exp_binary64_450`
3×	`distribute-lft-out--_binary64_368` `add-cbrt-cube_binary64_447`
2×	`div-inv_binary64_411` `pow-pow_binary64_483` `pow-exp_binary64_479` `pow-to-exp_binary64_480` `distribute-lft-out_binary64_367`
1×	`flip3--_binary64_418` `diff-log_binary64_503` `sub-neg_binary64_407` `flip--_binary64_389`

Counts

3 → 78

Calls

3 calls:

11.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
6.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
4.0ms	(pow.f64 x (/.f64 1 n))

series455.0ms (3%)

Counts

3 → 9

Calls

3 calls:

264.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
104.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
87.0ms	(pow.f64 x (/.f64 1 n))

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4925	1618
1	4925	1618

prune114.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	4	88

Merged error: 22.9b

Counts

88 → 4

Compiler

Compiled 1866 to 1289 computations (30.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 x (/.f64 1 n))
0.3b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
3.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3.1b	(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))

rewrite44.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64_435`
38×	`*-un-lft-identity_binary64_414`
27×	`unpow-prod-down_binary64_490`
26×	`pow-unpow_binary64_488`
22×	`add-cube-cbrt_binary64_446`
18×	`times-frac_binary64_420` `difference-of-squares_binary64_383`
16×	`log-pow_binary64_500`
15×	`exp-prod_binary64_463`
14×	`sqr-pow_binary64_386`
7×	`pow1_binary64_472`
6×	`distribute-lft-out--_binary64_368` `add-exp-log_binary64_449` `add-log-exp_binary64_450`
4×	`add-cbrt-cube_binary64_447` `log-prod_binary64_497`
3×	`distribute-lft-out_binary64_367`
2×	`div-inv_binary64_411` `pow-pow_binary64_483` `pow-exp_binary64_479` `pow-to-exp_binary64_480` `sub-neg_binary64_407`
1×	`flip3--_binary64_418` `rem-log-exp_binary64_452` `diff-log_binary64_503` `exp-sum_binary64_457` `exp-diff_binary64_459` `log-div_binary64_498` `flip--_binary64_389`

Counts

4 → 107

Calls

4 calls:

12.0ms	(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))
11.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
6.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
4.0ms	(pow.f64 x (/.f64 1 n))

series873.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

452.0ms	(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))
248.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
97.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
75.0ms	(pow.f64 x (/.f64 1 n))

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4949	2309
1	4949	2309

prune290.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	117	6	123

Merged error: 22.9b

Counts

123 → 6

Compiler

Compiled 2835 to 2026 computations (28.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3.2b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
3.2b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))

rewrite60.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_435`
22×	`*-un-lft-identity_binary64_414`
20×	`unpow-prod-down_binary64_490`
18×	`difference-of-squares_binary64_383`
14×	`log-prod_binary64_497`
12×	`sqr-pow_binary64_386`
8×	`add-cube-cbrt_binary64_446` `cbrt-prod_binary64_442` `add-log-exp_binary64_450`
6×	`distribute-lft-out--_binary64_368` `pow1_binary64_472` `add-exp-log_binary64_449`
4×	`log-pow_binary64_500` `sub-neg_binary64_407` `add-cbrt-cube_binary64_447`
2×	`flip3--_binary64_418` `rem-log-exp_binary64_452` `cbrt-div_binary64_443` `diff-log_binary64_503` `exp-sum_binary64_457` `exp-diff_binary64_459` `log-div_binary64_498` `distribute-lft-out_binary64_367` `flip--_binary64_389` `pow1/3_binary64_493`

Counts

4 → 82

Calls

4 calls:

14.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
11.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
11.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
11.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series1.8s (11.8%)

Counts

4 → 12

Calls

4 calls:

667.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
664.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
244.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
228.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4894	3034
1	4894	3034

prune237.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	94	6	100

Merged error: 22.8b

Counts

100 → 6

Compiler

Compiled 4376 to 3309 computations (24.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3.2b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
3.2b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
3.2b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))

rewrite62.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_435`
21×	`log-prod_binary64_497`
17×	`*-un-lft-identity_binary64_414`
12×	`cbrt-prod_binary64_442`
10×	`add-cube-cbrt_binary64_446` `unpow-prod-down_binary64_490`
9×	`difference-of-squares_binary64_383`
7×	`pow1_binary64_472` `add-exp-log_binary64_449`
6×	`log-pow_binary64_500` `sqr-pow_binary64_386` `add-log-exp_binary64_450`
4×	`sub-neg_binary64_407` `add-cbrt-cube_binary64_447`
3×	`distribute-lft-out--_binary64_368` `rem-log-exp_binary64_452` `cbrt-div_binary64_443` `exp-sum_binary64_457` `exp-diff_binary64_459` `log-div_binary64_498` `pow1/3_binary64_493`
1×	`flip3--_binary64_418` `diff-log_binary64_503` `distribute-lft-out_binary64_367` `flip--_binary64_389`

Counts

4 → 77

Calls

4 calls:

12.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
12.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
11.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
11.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series2.2s (14.4%)

Counts

4 → 12

Calls

4 calls:

674.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
650.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
647.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
228.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4894	2895
1	4894	2895

prune318.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	89	6	95

Merged error: 22.8b

Counts

95 → 6

Compiler

Compiled 5602 to 4299 computations (23.3% saved)

regimes124.0ms (0.8%)

Compiler: Compiled 922 to 748 computations (18.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	82	141
1	82	141

end0.0ms (0%)

sample6.7s (43.7%)

Algorithm

1×

intervals

Results

1.4s	2680×	body	1024	valid
1.3s	1463×	body	1024	nan
1.2s	1742×	body	2048	valid
492.0ms	2502×	body	128	overflowed
440.0ms	1204×	body	512	valid
391.0ms	741×	body	512	nan
177.0ms	1796×	body	128	valid
174.0ms	175×	body	1024	invalid
125.0ms	578×	body	256	valid
113.0ms	217×	body	512	invalid
85.0ms	326×	body	256	nan
61.0ms	749×	body	128	nan
41.0ms	143×	body	256	invalid
36.0ms	239×	body	128	invalid
8.0ms	6×	body	2048	nan

Compiler

Compiled 301 to 235 computations (21.9% saved)

Details

analyze1.1s (7.3%)

sample201.0ms (1.3%)

simplify235.0ms (1.5%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite28.0ms (0.2%)

series455.0ms (3%)

simplify85.0ms (0.6%)

prune114.0ms (0.7%)

localize11.0ms (0.1%)

rewrite44.0ms (0.3%)

series873.0ms (5.7%)

simplify76.0ms (0.5%)

prune290.0ms (1.9%)

localize15.0ms (0.1%)

rewrite60.0ms (0.4%)

series1.8s (11.8%)

simplify107.0ms (0.7%)

prune237.0ms (1.5%)

localize18.0ms (0.1%)

rewrite62.0ms (0.4%)

series2.2s (14.4%)

simplify112.0ms (0.7%)

prune318.0ms (2.1%)

regimes124.0ms (0.8%)

bsearch1.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.7s (43.7%)

Profiling