Details

analyze800.0ms (21.4%)

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)

sample55.0ms (1.5%)

Algorithm

1×

intervals

Results

27.0ms	92×	body	1024	valid
7.0ms	42×	body	512	valid
4.0ms	13×	body	2048	valid
4.0ms	93×	body	128	valid
2.0ms	16×	body	256	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

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)

localize6.0ms (0.1%)

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 (0.8%)

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)

series79.0ms (2.1%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

39.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
28.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 324 to 294 computations (9.3% saved)

simplify36.0ms (1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5074	484

prune32.0ms (0.8%)

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 414 to 303 computations (26.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite240.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

69×	`cbrt-prod_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
40×	`sqrt-prod_binary64`
22×	`add-cube-cbrt_binary64`
18×	`sqrt-div_binary64` `cbrt-div_binary64`
14×	`swap-sqr_binary64`
11×	`pow1_binary64`
10×	`associate-l_binary64` `associate-r_binary64`
9×	`pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 120

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
5.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
5.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
5.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))

Compiler

Compiled 3659 to 2644 computations (27.7% saved)

series362.0ms (9.7%)

Error

Counts

4 → 24

Calls

4 calls:

88.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
88.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
81.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
74.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))

Compiler

Compiled 1358 to 1132 computations (16.6% saved)

simplify97.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5041	2730

prune202.0ms (5.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	144	2	146

Error

Counts

146 → 2

Compiler

Compiled 3579 to 2615 computations (26.9% saved)

regimes75.0ms (2%)

Accuracy

Total 0.0b remaining (17.5%)

Threshold costs 0.0b (17.5%)

Compiler

Compiled 401 to 357 computations (11% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	8
1	8	8

end0.0ms (0%)

sample1.6s (44%)

Algorithm

1×

intervals

Results

765.0ms	2692×	body	1024	valid
200.0ms	1329×	body	512	valid
130.0ms	3011×	body	128	valid
103.0ms	294×	body	2048	valid
64.0ms	674×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 111 to 99 computations (10.8% saved)

Details

analyze800.0ms (21.4%)

sample55.0ms (1.5%)

simplify63.0ms (1.7%)

prune6.0ms (0.2%)

localize6.0ms (0.1%)

rewrite31.0ms (0.8%)

series79.0ms (2.1%)

simplify36.0ms (1%)

prune32.0ms (0.8%)

localize8.0ms (0.2%)

rewrite240.0ms (6.4%)

series362.0ms (9.7%)

simplify97.0ms (2.6%)

prune202.0ms (5.4%)

regimes75.0ms (2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.6s (44%)

Profiling