Details

analyze664.0ms (19%)

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)

sample58.0ms (1.7%)

Algorithm

1×

intervals

Results

33.0ms	104×	body	1024	valid
7.0ms	35×	body	512	valid
4.0ms	89×	body	128	valid
3.0ms	7×	body	2048	valid
2.0ms	21×	body	256	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify224.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5935	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 1 (exp.f64 x))

series23.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

22.0ms

(+.f64 1 (exp.f64 x))

simplify70.0ms (2%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5384	144

prune19.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0b

Counts

16 → 2

Compiler

Compiled 152 to 107 computations (29.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
0.7b	(cbrt.f64 (+.f64 1 (exp.f64 x)))
0.7b	(cbrt.f64 (+.f64 1 (exp.f64 x)))
0.7b	(cbrt.f64 (+.f64 1 (exp.f64 x)))

rewrite46.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
30×	`flip3-+_binary64` `flip-+_binary64`
28×	`frac-times_binary64`
23×	`pow1_binary64`
17×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
14×	`associate-*l/_binary64`
12×	`pow1/3_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`pow-prod-up_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64`
8×	`associate-*r/_binary64`
7×	`associate-r_binary64`
6×	`pow-plus_binary64`
5×	`pow-prod-down_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64`
3×	`cbrt-unprod_binary64` `prod-exp_binary64` `pow-sqr_binary64`
2×	`unswap-sqr_binary64` `pow2_binary64`
1×	`rem-3cbrt-lft_binary64` `associate-l_binary64` `pow3_binary64` `*-commutative_binary64`

Counts

4 → 105

Calls

4 calls:

20.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(cbrt.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(cbrt.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(cbrt.f64 (+.f64 1 (exp.f64 x)))

series446.0ms (12.8%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt.f64 (+.f64 1 (exp.f64 x)))
144.0ms	(cbrt.f64 (+.f64 1 (exp.f64 x)))
138.0ms	(cbrt.f64 (+.f64 1 (exp.f64 x)))
19.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))

simplify92.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5134	2282

prune150.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Merged error: 0b

Counts

119 → 2

Compiler

Compiled 2608 to 1815 computations (30.4% saved)

regimes34.0ms (1%)

Compiler: Compiled 177 to 158 computations (10.7% 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%)

sample1.6s (46.9%)

Algorithm

1×

intervals

Results

841.0ms	2667×	body	1024	valid
226.0ms	1323×	body	512	valid
145.0ms	3104×	body	128	valid
107.0ms	279×	body	2048	valid
68.0ms	627×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 61 to 56 computations (8.2% saved)

Details

analyze664.0ms (19%)

sample58.0ms (1.7%)

simplify224.0ms (6.4%)

prune7.0ms (0.2%)

localize6.0ms (0.2%)

rewrite8.0ms (0.2%)

series23.0ms (0.6%)

simplify70.0ms (2%)

prune19.0ms (0.5%)

localize8.0ms (0.2%)

rewrite46.0ms (1.3%)

series446.0ms (12.8%)

simplify92.0ms (2.6%)

prune150.0ms (4.3%)

regimes34.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.6s (46.9%)

Profiling