Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample64.0ms (1.5%)

Algorithm

1×

intervals

Results

30.0ms	126×	body	1024	valid
9.0ms	72×	body	512	valid
6.0ms	256×	pre	128	true
4.0ms	13×	body	2048	valid
3.0ms	33×	body	256	valid
0.0ms	12×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify160.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

59.5b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.0b	(-.f64 (exp.f64 x) 1)
4.0b	(-.f64 (exp.f64 x) 1)

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_426`
5×	`*-un-lft-identity_binary64_404`
3×	`cancel-sign-sub-inv_binary64_370` `add-log-exp_binary64_443`
2×	`difference-of-squares_binary64_373` `add-cube-cbrt_binary64_439`
1×	`pow1_binary64_465` `add-cbrt-cube_binary64_440` `difference-of-sqr-1_binary64_374` `add-exp-log_binary64_442` `distribute-lft-out--_binary64_356` `diff-log_binary64_496` `flip3--_binary64_408` `sub-neg_binary64_397` `flip--_binary64_379`

Counts

1 → 18

Calls

2 calls:

7.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(-.f64 (exp.f64 x) 1)

series26.0ms (0.6%)

Counts

1 → 5

Calls

1 calls:

25.0ms

(-.f64 (exp.f64 x) 1)

Compiler

Compiled 56 to 50 computations (10.7% saved)

simplify132.0ms (3%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4935	210
1	4935	210

prune73.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	2	24

Error

0.0b

Counts

24 → 2

Compiler

Compiled 192 to 120 computations (37.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x 1/6)
0.0b	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.0b	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.3b	(*.f64 x 1/6)

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_465` `add-cbrt-cube_binary64_440` `add-exp-log_binary64_442`
7×	`add-sqr-sqrt_binary64_426`
6×	`associate-l_binary64_345`
5×	`*-un-lft-identity_binary64_404` `add-cube-cbrt_binary64_439`
4×	`pow-prod-down_binary64_475` `associate-r_binary64_344` `associate-*r/_binary64_346` `distribute-lft-in_binary64_353` `distribute-rgt-in_binary64_354` `prod-exp_binary64_453` `cbrt-unprod_binary64_437`
2×	`*-commutative_binary64_335` `add-log-exp_binary64_443`
1×	`unswap-sqr_binary64_372` `flip3-+_binary64_407` `flip-+_binary64_378`

Counts

2 → 42

Calls

4 calls:

14.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
7.0ms	(*.f64 x 1/6)
0.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.0ms	(*.f64 x 1/6)

series135.0ms (3.1%)

Counts

2 → 9

Calls

2 calls:

105.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
30.0ms	(*.f64 x 1/6)

Compiler

Compiled 165 to 132 computations (20% saved)

simplify122.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4920	534
1	4920	534

prune72.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	51	2	53

Error

0.0b

Counts

53 → 2

Compiler

Compiled 731 to 500 computations (31.6% saved)

localize11.0ms (0.2%)

Local error

Found 6 expressions with local error:

4.0b	(-.f64 (exp.f64 x) 1)
0.1b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
0.0b	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
0.0b	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
0.1b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
4.0b	(-.f64 (exp.f64 x) 1)

rewrite47.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_426`
25×	`*-un-lft-identity_binary64_404`
20×	`cbrt-prod_binary64_435`
14×	`cube-prod_binary64_432` `unpow-prod-down_binary64_483`
10×	`difference-of-squares_binary64_373` `add-cube-cbrt_binary64_439`
5×	`difference-of-sqr-1_binary64_374` `distribute-lft-out--_binary64_356` `add-log-exp_binary64_443`
4×	`pow1_binary64_465` `add-cbrt-cube_binary64_440` `add-exp-log_binary64_442` `cube-div_binary64_433`
3×	`cancel-sign-sub-inv_binary64_370` `flip3--_binary64_408` `pow-unpow_binary64_481` `flip--_binary64_379`
2×	`unpow3_binary64_470` `sqr-pow_binary64_376` `cbrt-div_binary64_436` `cube-mult_binary64_434`
1×	`pow-to-exp_binary64_473` `rem-cbrt-cube_binary64_428` `diff-log_binary64_496` `pow1/3_binary64_486` `sub-neg_binary64_397` `pow-exp_binary64_472` `pow-pow_binary64_476` `rem-cube-cbrt_binary64_427`

Counts

3 → 82

Calls

6 calls:

12.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
11.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
9.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
0.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))

series129.0ms (3%)

Counts

3 → 15

Calls

3 calls:

71.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
32.0ms	(-.f64 (exp.f64 x) 1)
26.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))

Compiler

Compiled 216 to 198 computations (8.3% saved)

simplify146.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4890	1158
1	4890	1158

prune112.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	2	99

Error

0.0b

Counts

99 → 2

Compiler

Compiled 1031 to 707 computations (31.4% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	125
1	53	125

regimes83.0ms (1.9%)

Accuracy

Total 0.4b remaining (91.8%)

Threshold costs 0.4b (91.8%)

Compiler

Compiled 240 to 206 computations (14.2% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample3.0s (68.1%)

Algorithm

1×

intervals

Results

991.0ms	4068×	body	1024	valid
266.0ms	2002×	body	512	valid
170.0ms	8001×	pre	128	true
119.0ms	431×	body	2048	valid
78.0ms	956×	body	256	valid
22.0ms	543×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 269 to 227 computations (15.6% saved)

Pareto

-0.745327343638453

Details

analyze6.0ms (0.1%)

sample64.0ms (1.5%)

simplify160.0ms (3.7%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite9.0ms (0.2%)

series26.0ms (0.6%)

simplify132.0ms (3%)

prune73.0ms (1.7%)

localize13.0ms (0.3%)

rewrite28.0ms (0.6%)

series135.0ms (3.1%)

simplify122.0ms (2.8%)

prune72.0ms (1.6%)

localize11.0ms (0.2%)

rewrite47.0ms (1.1%)

series129.0ms (3%)

simplify146.0ms (3.4%)

prune112.0ms (2.6%)

simplify6.0ms (0.1%)

regimes83.0ms (1.9%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample3.0s (68.1%)

Profiling