Details

analyze672.0ms (23.6%)

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)

sample50.0ms (1.7%)

Algorithm

1×

intervals

Results

24.0ms	83×	body	1024	valid
8.0ms	50×	body	512	valid
5.0ms	92×	body	128	valid
3.0ms	26×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify164.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

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))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

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×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 28

Calls

2 calls:

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

series38.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

21.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
17.0ms	(+.f64 1 (exp.f64 x))

simplify71.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5088	368

prune30.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	1	35

Error

Counts

35 → 1

Compiler

Compiled 323 to 228 computations (29.4% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)))
0.0b	(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
0.0b	(+.f64 1 (exp.f64 x))
0.0b	(pow.f64 (+.f64 1 (exp.f64 x)) 3)

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`cbrt-prod_binary64`
28×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
17×	`sqrt-prod_binary64`
14×	`add-cube-cbrt_binary64`
13×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`distribute-lft-out_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `cube-div_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `rem-sqrt-square_binary64`
4×	`cbrt-div_binary64` `flip3-+_binary64` `sqr-pow_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`pow1/3_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 98

Calls

4 calls:

6.0ms	(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
5.0ms	(pow.f64 (+.f64 1 (exp.f64 x)) 3)
3.0ms	(+.f64 1 (exp.f64 x))

series60.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow.f64 (+.f64 1 (exp.f64 x)) 3)
20.0ms	(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)))
7.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
6.0ms	(+.f64 1 (exp.f64 x))

simplify68.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4980	1298
1	4980	1298

prune85.0ms (3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	1	111

Error

Counts

111 → 1

Compiler

Compiled 1237 to 915 computations (26% saved)

regimes38.0ms (1.3%)

Accuracy

Total 0.0b remaining (39%)

Threshold costs 0.0b (39%)

Compiler

Compiled 144 to 137 computations (4.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms (0%)

sample1.5s (53.2%)

Algorithm

1×

intervals

Results

759.0ms	2659×	body	1024	valid
212.0ms	1368×	body	512	valid
134.0ms	3016×	body	128	valid
93.0ms	279×	body	2048	valid
65.0ms	678×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 53 to 52 computations (1.9% saved)

Details

analyze672.0ms (23.6%)

sample50.0ms (1.7%)

simplify164.0ms (5.8%)

prune6.0ms (0.2%)

localize5.0ms (0.2%)

rewrite11.0ms (0.4%)

series38.0ms (1.3%)

simplify71.0ms (2.5%)

prune30.0ms (1%)

localize6.0ms (0.2%)

rewrite26.0ms (0.9%)

series60.0ms (2.1%)

simplify68.0ms (2.4%)

prune85.0ms (3%)

regimes38.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (53.2%)

Profiling