Details

analyze5.0ms (0.1%)

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 13 to 12 computations (7.7% saved)

sample81.0ms (1.8%)

Algorithm

1×

intervals

Results

51.0ms	140×	body	1024	valid
14.0ms	65×	body	512	valid
4.0ms	8×	body	2048	valid
4.0ms	28×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify333.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (231.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

59.1b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.1b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_419`
52×	`add-sqr-sqrt_binary64_441`
48×	`times-frac_binary64_425`
30×	`log-prod_binary64_505`
25×	`add-cube-cbrt_binary64_454`
18×	`difference-of-squares_binary64_388`
13×	`distribute-lft-out_binary64_370`
9×	`distribute-lft-out--_binary64_371`
7×	`add-exp-log_binary64_457`
6×	`associate-/r*_binary64_363`
4×	`associate-/r/_binary64_365` `add-cbrt-cube_binary64_455` `associate-/l*_binary64_364`
3×	`pow1_binary64_480`
2×	`add-log-exp_binary64_458` `rem-log-exp_binary64_460` `div-inv_binary64_416` `flip3--_binary64_423` `flip--_binary64_394` `div-exp_binary64_470` `associate-/l/_binary64_366`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `log-pow_binary64_508` `frac-2neg_binary64_430` `flip-+_binary64_393` `log-div_binary64_506` `cbrt-undiv_binary64_453`

Counts

2 → 91

Calls

2 calls:

8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series42.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
12.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify80.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5756	1898

prune124.0ms (2.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	2	98

Error

Counts

98 → 2

Compiler

Compiled 1726 to 1376 computations (20.3% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite23.0ms (0.5%)

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×	`flip3-+_binary64_422` `unpow3_binary64_485` `cube-mult_binary64_449` `sum-log_binary64_510` `flip-+_binary64_393` `+-commutative_binary64_349`

Counts

3 → 67

Calls

3 calls:

6.0ms	(*.f64 (pow.f64 x 3) 2/3)
6.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
6.0ms	(*.f64 2/5 (pow.f64 x 5))

series139.0ms (3%)

Counts

3 → 9

Calls

3 calls:

80.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
36.0ms	(*.f64 2/5 (pow.f64 x 5))
23.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5097	898

prune88.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Error

Counts

78 → 2

Compiler

Compiled 1668 to 1213 computations (27.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
0.0b	(exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.1b	(log.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))

rewrite59.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

152×	`*-un-lft-identity_binary64_419`
102×	`add-sqr-sqrt_binary64_441`
96×	`times-frac_binary64_425`
90×	`exp-prod_binary64_471`
63×	`log-pow_binary64_508`
51×	`add-cube-cbrt_binary64_454`
37×	`log-prod_binary64_505`
34×	`difference-of-squares_binary64_388`
25×	`distribute-lft-out_binary64_370`
17×	`distribute-lft-out--_binary64_371`
8×	`associate-/r/_binary64_365`
7×	`add-exp-log_binary64_457` `pow1_binary64_480`
6×	`add-cbrt-cube_binary64_455` `associate-/r*_binary64_363`
5×	`add-log-exp_binary64_458`
4×	`div-inv_binary64_416` `flip3--_binary64_423` `flip--_binary64_394` `associate-/l*_binary64_364`
2×	`rem-log-exp_binary64_460` `associate-/l/_binary64_366`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `frac-2neg_binary64_430` `flip-+_binary64_393` `rem-exp-log_binary64_459` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 173

Calls

4 calls:

12.0ms	(log.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
12.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
10.0ms	(exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

series109.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(log.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
19.0ms	(exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
19.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
12.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify115.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4945	3142
1	4945	3142

prune223.0ms (4.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	185	2	187

Error

Counts

187 → 2

Compiler

Compiled 3527 to 2842 computations (19.4% saved)

regimes151.0ms (3.3%)

Accuracy

Total 0.2b remaining (94.7%)

Threshold costs 0.2b (94.7%)

Compiler

Compiled 1782 to 1537 computations (13.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample2.9s (63.1%)

Algorithm

1×

intervals

Results

1.5s	4028×	body	1024	valid
433.0ms	1996×	body	512	valid
226.0ms	406×	body	2048	valid
126.0ms	983×	body	256	valid
37.0ms	587×	body	128	valid

Compiler

Compiled 407 to 351 computations (13.8% saved)

Details

analyze5.0ms (0.1%)

sample81.0ms (1.8%)

simplify333.0ms (7.2%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite24.0ms (0.5%)

series42.0ms (0.9%)

simplify80.0ms (1.7%)

prune124.0ms (2.7%)

localize10.0ms (0.2%)

rewrite23.0ms (0.5%)

series139.0ms (3%)

simplify67.0ms (1.4%)

prune88.0ms (1.9%)

localize10.0ms (0.2%)

rewrite59.0ms (1.3%)

series109.0ms (2.4%)

simplify115.0ms (2.5%)

prune223.0ms (4.8%)

regimes151.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.9s (63.1%)

Profiling