Details

analyze991.0ms (22.9%)

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)

sample56.0ms (1.3%)

Algorithm

1×

intervals

Results

25.0ms	76×	body	1024	valid
8.0ms	45×	body	512	valid
5.0ms	103×	body	128	valid
4.0ms	11×	body	2048	valid
2.0ms	21×	body	256	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4840	8
1	4840	8

prune7.0ms (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)))

rewrite41.0ms (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` `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 321 to 218 computations (32.1% saved)

series92.0ms (2.1%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

62.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
11.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 324 to 294 computations (9.3% saved)

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5074	484

prune32.0ms (0.7%)

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 407 to 298 computations (26.8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
0.0b	(sqrt.f64 (+.f64 (exp.f64 x) 1))
0.0b	(sqrt.f64 (+.f64 (exp.f64 x) 1))
0.6b	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))

rewrite272.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

106×	`sqrt-prod_binary64`
62×	`add-sqr-sqrt_binary64`
40×	`*-un-lft-identity_binary64`
38×	`sqrt-pow1_binary64`
32×	`sqrt-div_binary64`
31×	`pow1_binary64`
20×	`pow1/2_binary64` `add-cube-cbrt_binary64`
18×	`swap-sqr_binary64`
12×	`rem-sqrt-square_binary64`
10×	`associate-l_binary64` `associate-r_binary64`
9×	`pow-prod-up_binary64` `flip3-+_binary64` `flip-+_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-down_binary64` `pow-sqr_binary64`
4×	`add-log-exp_binary64` `sqr-abs_binary64` `frac-times_binary64`
2×	`associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `rem-square-sqrt_binary64` `*-commutative_binary64`

Counts

4 → 146

Calls

4 calls:

18.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
5.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
4.0ms	(sqrt.f64 (+.f64 (exp.f64 x) 1))
4.0ms	(sqrt.f64 (+.f64 (exp.f64 x) 1))

Compiler

Compiled 3189 to 2320 computations (27.2% saved)

series279.0ms (6.4%)

Error

Counts

4 → 24

Calls

4 calls:

88.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
59.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
51.0ms	(sqrt.f64 (+.f64 (exp.f64 x) 1))
44.0ms	(sqrt.f64 (+.f64 (exp.f64 x) 1))

Compiler

Compiled 1180 to 1038 computations (12% saved)

simplify98.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4966	2347
1	4966	2347

prune214.0ms (4.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	170	2	172

Error

Counts

172 → 2

Compiler

Compiled 2609 to 1917 computations (26.5% saved)

regimes81.0ms (1.9%)

Accuracy

Total 0.0b remaining (19.7%)

Threshold costs 0.0b (19.7%)

Compiler

Compiled 329 to 309 computations (6.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	8	8

end0.0ms (0%)

sample2.0s (47%)

Algorithm

1×

intervals

Results

955.0ms	2641×	body	1024	valid
265.0ms	1330×	body	512	valid
164.0ms	3101×	body	128	valid
124.0ms	280×	body	2048	valid
82.0ms	648×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 87 to 83 computations (4.6% saved)

Details

analyze991.0ms (22.9%)

sample56.0ms (1.3%)

simplify76.0ms (1.8%)

prune7.0ms (0.2%)

localize5.0ms (0.1%)

rewrite41.0ms (0.9%)

series92.0ms (2.1%)

simplify43.0ms (1%)

prune32.0ms (0.7%)

localize7.0ms (0.2%)

rewrite272.0ms (6.3%)

series279.0ms (6.4%)

simplify98.0ms (2.3%)

prune214.0ms (4.9%)

regimes81.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.0s (47%)

Profiling