Details

analyze865.0ms (22%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4840	8
1	4840	8
0	1	1
1	1	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 (1.3%)

Algorithm

1×

intervals

Results

21.0ms	80×	body	1024	valid
7.0ms	43×	body	512	valid
5.0ms	14×	body	2048	valid
4.0ms	99×	body	128	valid
2.0ms	20×	body	256	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4840	8
1	4840	8

prune8.0ms (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 (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite55.0ms (1.4%)

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` `sqrt-div_binary64` `flip-+_binary64` `distribute-lft-out_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 28

Calls

2 calls:

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

Compiler

Compiled 293 to 198 computations (32.4% saved)

series106.0ms (2.7%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

71.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
20.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 307 to 283 computations (7.8% saved)

simplify35.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5074	484

prune53.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	2	41

Error

Counts

41 → 2

Compiler

Compiled 356 to 263 computations (26.1% 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)
4.4b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite252.0ms (6.4%)

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))))
9.0ms	(-.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 2432 to 1591 computations (34.6% saved)

series370.0ms (9.4%)

Error

Counts

4 → 24

Calls

4 calls:

194.0ms	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
54.0ms	(pow.f64 (exp.f64 x) 3)
52.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
36.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 874 to 692 computations (20.8% saved)

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5342	2475

prune177.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	136	2	138

Error

Counts

138 → 2

Compiler

Compiled 2038 to 1350 computations (33.8% saved)

regimes223.0ms (5.7%)

Accuracy

Total 0.0b remaining (71.9%)

Threshold costs 0.0b (71.9%)

Compiler

Compiled 1655 to 1503 computations (9.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	27
1	25	27

end2.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

sample1.6s (40.2%)

Algorithm

1×

intervals

Results

757.0ms	2651×	body	1024	valid
211.0ms	1392×	body	512	valid
130.0ms	2997×	body	128	valid
97.0ms	271×	body	2048	valid
66.0ms	689×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 55 to 50 computations (9.1% saved)

Details

analyze865.0ms (22%)

sample51.0ms (1.3%)

simplify61.0ms (1.6%)

prune8.0ms (0.2%)

localize5.0ms (0.1%)

rewrite55.0ms (1.4%)

series106.0ms (2.7%)

simplify35.0ms (0.9%)

prune53.0ms (1.4%)

localize10.0ms (0.3%)

rewrite252.0ms (6.4%)

series370.0ms (9.4%)

simplify77.0ms (2%)

prune177.0ms (4.5%)

regimes223.0ms (5.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end2.0ms (0%)

sample1.6s (40.2%)

Profiling