Details

analyze640.0ms (18.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample51.0ms (1.5%)

Algorithm

1×

intervals

Results

26.0ms	91×	body	1024	valid
5.0ms	109×	body	128	valid
4.0ms	30×	body	512	valid
2.0ms	8×	body	2048	valid
2.0ms	18×	body	256	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify169.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4840	8
1	4840	8

prune6.0ms (0.2%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 1 (exp.f64 x))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64`
2×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `sqrt-div_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

2 → 28

Calls

2 calls:

5.0ms	(+.f64 1 (exp.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 321 to 218 computations (32.1% saved)

series80.0ms (2.4%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

46.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
23.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 324 to 294 computations (9.3% saved)

simplify36.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5074	484

prune33.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	1	41

Error

Counts

41 → 1

Compiler

Compiled 411 to 300 computations (27% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
3.9b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite188.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

63×	`*-un-lft-identity_binary64`
29×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`
16×	`distribute-lft-out_binary64`
8×	`pow-pow_binary64`
7×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `distribute-lft-out--_binary64` `pow-unpow_binary64` `exp-prod_binary64`
5×	`associate-/r*_binary64`
4×	`difference-of-squares_binary64` `associate-/l*_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `cancel-sign-sub-inv_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64` `associate-/r/_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-rgt-out--_binary64` `unpow3_binary64` `cube-mult_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 112

Calls

4 calls:

15.0ms	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
3.0ms	(pow.f64 (exp.f64 x) 3)
3.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 2927 to 1924 computations (34.3% saved)

series235.0ms (6.9%)

Error

Counts

4 → 24

Calls

4 calls:

121.0ms	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
37.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
31.0ms	(pow.f64 (exp.f64 x) 3)
24.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 976 to 758 computations (22.3% saved)

simplify82.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5342	2475

prune162.0ms (4.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	136	1	137

Error

Counts

137 → 1

Compiler

Compiled 3051 to 1992 computations (34.7% saved)

regimes66.0ms (2%)

Accuracy

Total 0.0b remaining (92.9%)

Threshold costs 0.0b (92.9%)

Compiler

Compiled 326 to 288 computations (11.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	27
1	25	27

end0.0ms (0%)

sample1.6s (46.9%)

Algorithm

1×

intervals

Results

755.0ms	2715×	body	1024	valid
195.0ms	1255×	body	512	valid
133.0ms	3134×	body	128	valid
90.0ms	263×	body	2048	valid
61.0ms	633×	body	256	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 98 to 84 computations (14.3% saved)

Details

analyze640.0ms (18.9%)

sample51.0ms (1.5%)

simplify169.0ms (5%)

prune6.0ms (0.2%)

localize5.0ms (0.2%)

rewrite31.0ms (0.9%)

series80.0ms (2.4%)

simplify36.0ms (1.1%)

prune33.0ms (1%)

localize10.0ms (0.3%)

rewrite188.0ms (5.5%)

series235.0ms (6.9%)

simplify82.0ms (2.4%)

prune162.0ms (4.8%)

regimes66.0ms (2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.6s (46.9%)

Profiling