Details

analyze222.0ms (2.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	87.4%	12.6%	6
20.3%	59.3%	20.4%	7
21.1%	51.5%	27.4%	8
35.5%	30.4%	34%	9
35.7%	26.1%	38.1%	10
42.8%	15.4%	41.8%	11
42.9%	13.2%	44%	12
46.4%	7.8%	45.8%	13
46.4%	6.6%	47%	14

Compiler

Compiled 30 to 26 computations (13.3% saved)

sample71.0ms (0.7%)

Algorithm

1×

intervals

Results

28.0ms	61×	body	1024	valid
11.0ms	136×	body	128	valid
8.0ms	12×	body	2048	valid
7.0ms	28×	body	512	valid
3.0ms	19×	body	256	valid
1.0ms	9×	body	128	invalid
0.0ms	1×	body	1024	invalid
0.0ms	5×	body	128	overflowed

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify157.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5212	41

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.9b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize22.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
0.0b	(*.f64 (-.f64 1 eps) x)
0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
0.0b	(+.f64 1 (/.f64 1 eps))
0.0b	(*.f64 (-.f64 1 eps) x)
0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
0.0b	(*.f64 (+.f64 1 eps) x)
2.7b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

rewrite84.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`frac-sub_binary64_413`
76×	`exp-neg_binary64_451` `frac-times_binary64_414`
57×	`neg-sub0_binary64_399` `exp-diff_binary64_452`
42×	`associate-*l/_binary64_347`
38×	`associate-*r/_binary64_346`
31×	`flip3-+_binary64_407` `flip-+_binary64_378`
29×	`flip3--_binary64_408` `flip--_binary64_379`
19×	`un-div-inv_binary64_402` `add-sqr-sqrt_binary64_426`
18×	`*-un-lft-identity_binary64_404`
15×	`associate-l_binary64_345`
10×	`pow1_binary64_465` `add-cbrt-cube_binary64_440` `add-cube-cbrt_binary64_439`
9×	`associate-r_binary64_344` `add-exp-log_binary64_442`
6×	`add-log-exp_binary64_443`
3×	`pow-prod-down_binary64_475` `*-commutative_binary64_335` `unswap-sqr_binary64_372` `distribute-lft-out_binary64_355` `prod-exp_binary64_453` `cbrt-unprod_binary64_437`
2×	`difference-of-squares_binary64_373`
1×	`cancel-sign-sub-inv_binary64_370` `div-inv_binary64_401` `distribute-lft-out--_binary64_356` `diff-log_binary64_496` `sub-neg_binary64_397`

Counts

4 → 166

Calls

8 calls:

20.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
14.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
7.0ms	(*.f64 (-.f64 1 eps) x)
7.0ms	(*.f64 (+.f64 1 eps) x)
0.0ms	(+.f64 1 (/.f64 1 eps))

series420.0ms (3.9%)

Counts

4 → 38

Calls

4 calls:

193.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
100.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
67.0ms	(*.f64 (-.f64 1 eps) x)
59.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 1835 to 1391 computations (24.2% saved)

simplify140.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4974	9147
1	4974	9147

prune639.0ms (5.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	201	3	204
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	202	3	205

Error

Counts

205 → 3

Compiler

Compiled 8994 to 6866 computations (23.7% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64_404` `add-sqr-sqrt_binary64_426`
4×	`exp-neg_binary64_451` `associate-l_binary64_345` `frac-times_binary64_414`
3×	`pow1_binary64_465` `add-cbrt-cube_binary64_440` `associate-r_binary64_344` `flip3-+_binary64_407` `neg-sub0_binary64_399` `flip-+_binary64_378` `add-cube-cbrt_binary64_439` `exp-diff_binary64_452`
2×	`associate-l/_binary64_347` `associate-r/_binary64_346` `add-exp-log_binary64_442`
1×	`pow-prod-down_binary64_475` `*-commutative_binary64_335` `unswap-sqr_binary64_372` `un-div-inv_binary64_402` `add-log-exp_binary64_443` `distribute-lft-out_binary64_355` `prod-exp_binary64_453` `cbrt-unprod_binary64_437`

Counts

1 → 28

Calls

2 calls:

11.0ms	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
0.0ms	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

series39.0ms (0.4%)

Counts

1 → 8

Calls

1 calls:

39.0ms

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

Compiler

Compiled 131 to 125 computations (4.6% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4805	412
1	4805	412

prune41.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	37	2	39

Error

Counts

39 → 2

Compiler

Compiled 583 to 421 computations (27.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.8b	(log.f64 (+.f64 x 1))
1.7b	(-.f64 (log.f64 (+.f64 x 1)) x)
1.7b	(-.f64 (log.f64 (+.f64 x 1)) x)
3.8b	(log.f64 (+.f64 x 1))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_404`
8×	`log-prod_binary64_490`
7×	`add-sqr-sqrt_binary64_426`
5×	`add-cube-cbrt_binary64_439`
4×	`pow1_binary64_465` `log-div_binary64_491` `associate--l+_binary64_341`
3×	`cancel-sign-sub-inv_binary64_370` `add-exp-log_binary64_442` `add-log-exp_binary64_443`
2×	`associate--l-_binary64_342` `add-cbrt-cube_binary64_440` `distribute-lft-out--_binary64_356` `flip3-+_binary64_407` `flip-+_binary64_378` `distribute-lft-out_binary64_355` `log-pow_binary64_493`
1×	`rem-log-exp_binary64_445` `diff-log_binary64_496` `flip3--_binary64_408` `difference-of-squares_binary64_373` `sub-neg_binary64_397` `flip--_binary64_379`

Counts

2 → 38

Calls

4 calls:

7.0ms	(-.f64 (log.f64 (+.f64 x 1)) x)
3.0ms	(log.f64 (+.f64 x 1))
0.0ms	(-.f64 (log.f64 (+.f64 x 1)) x)
0.0ms	(log.f64 (+.f64 x 1))

series53.0ms (0.5%)

Counts

2 → 12

Calls

2 calls:

27.0ms	(-.f64 (log.f64 (+.f64 x 1)) x)
25.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 246 to 238 computations (3.3% saved)

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5026	571

prune50.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	50	2	52

Error

Counts

52 → 2

Compiler

Compiled 841 to 665 computations (20.9% saved)

localize26.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) eps))
0.0b	(+.f64 1 (/.f64 1 eps))
0.0b	(+.f64 1 (/.f64 1 eps))
0.0b	(+.f64 1 (/.f64 1 eps))
0.3b	(pow.f64 (/.f64 1 eps) 3)
4.7b	(+.f64 (.f64 x (-.f64 -1 eps)) (.f64 (-.f64 1 eps) x))
11.0b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) eps))) (.f64 (-.f64 (pow.f64 (/.f64 1 eps) 3) 1) (exp.f64 (+.f64 (.f64 x (-.f64 -1 eps)) (.f64 (-.f64 1 eps) x))))) (.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) eps)) (exp.f64 (.f64 (-.f64 1 eps) x))))
35.8b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) eps))) (.f64 (-.f64 (pow.f64 (/.f64 1 eps) 3) 1) (exp.f64 (+.f64 (.f64 x (-.f64 -1 eps)) (.f64 (-.f64 1 eps) x)))))

rewrite139.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`associate-*l/_binary64_347`
32×	`frac-sub_binary64_413`
26×	`flip3-+_binary64_407` `flip-+_binary64_378`
23×	`*-un-lft-identity_binary64_404` `add-cube-cbrt_binary64_439` `add-sqr-sqrt_binary64_426`
22×	`flip3--_binary64_408` `flip--_binary64_379`
21×	`times-frac_binary64_410`
18×	`associate-/l/_binary64_351`
16×	`frac-times_binary64_414`
13×	`add-exp-log_binary64_442` `cube-prod_binary64_432` `unpow-prod-down_binary64_483`
12×	`add-cbrt-cube_binary64_440` `associate-*r/_binary64_346`
8×	`add-log-exp_binary64_443` `associate-+l+_binary64_337`
7×	`cancel-sign-sub-inv_binary64_370`
6×	`pow1_binary64_465`
5×	`distribute-lft-in_binary64_353` `distribute-rgt-in_binary64_354`
4×	`frac-add_binary64_412` `div-exp_binary64_455` `pow-exp_binary64_472`
3×	`div-inv_binary64_401` `sub-neg_binary64_397` `cbrt-undiv_binary64_438` `pow-unpow_binary64_481` `associate-/l*_binary64_349` `pow-pow_binary64_476`
2×	`associate--l+_binary64_341` `associate-/r/_binary64_350` `rem-cube-cbrt_binary64_427`
1×	`pow-to-exp_binary64_473` `unpow3_binary64_470` `pow-flip_binary64_478` `1-exp_binary64_448` `frac-2neg_binary64_415` `sum-log_binary64_495` `associate-/r*_binary64_348` `sqr-pow_binary64_376` `diff-log_binary64_496` `clear-num_binary64_403` `rec-exp_binary64_454` `inv-pow_binary64_489` `div-sub_binary64_409` `cube-mult_binary64_434` `+-commutative_binary64_334` `cube-div_binary64_433` `prod-exp_binary64_453` `cbrt-unprod_binary64_437`

Counts

4 → 145

Calls

8 calls:

51.0ms	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) eps))) (.f64 (-.f64 (pow.f64 (/.f64 1 eps) 3) 1) (exp.f64 (+.f64 (.f64 x (-.f64 -1 eps)) (.f64 (-.f64 1 eps) x))))) (.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) eps)) (exp.f64 (.f64 (-.f64 1 eps) x))))
36.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) eps))) (.f64 (-.f64 (pow.f64 (/.f64 1 eps) 3) 1) (exp.f64 (+.f64 (.f64 x (-.f64 -1 eps)) (.f64 (-.f64 1 eps) x)))))
10.0ms	(+.f64 (.f64 x (-.f64 -1 eps)) (.f64 (-.f64 1 eps) x))
6.0ms	(pow.f64 (/.f64 1 eps) 3)
0.0ms	(+.f64 1 (/.f64 1 eps))

series1.0s (9.3%)

Counts

4 → 30

Calls

4 calls:

659.0ms	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) eps))) (.f64 (-.f64 (pow.f64 (/.f64 1 eps) 3) 1) (exp.f64 (+.f64 (.f64 x (-.f64 -1 eps)) (.f64 (-.f64 1 eps) x))))) (.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) eps)) (exp.f64 (.f64 (-.f64 1 eps) x))))
243.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) eps))) (.f64 (-.f64 (pow.f64 (/.f64 1 eps) 3) 1) (exp.f64 (+.f64 (.f64 x (-.f64 -1 eps)) (.f64 (-.f64 1 eps) x)))))
69.0ms	(+.f64 (.f64 x (-.f64 -1 eps)) (.f64 (-.f64 1 eps) x))
36.0ms	(pow.f64 (/.f64 1 eps) 3)

Compiler

Compiled 3042 to 2515 computations (17.3% saved)

simplify119.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5026	8770

prune1.0s (9.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	175	2	177

Error

Counts

177 → 2

Compiler

Compiled 12959 to 10094 computations (22.1% saved)

simplify158.0ms (1.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	3706	2345
1	3706	2345

regimes219.0ms (2%)

Accuracy

Total 0.7b remaining (97.2%)

Threshold costs 0.7b (97.2%)

Compiler

Compiled 3078 to 2562 computations (16.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	17
1	22	17

end0.0ms (0%)

sample5.9s (54.8%)

Algorithm

1×

intervals

Results

808.0ms	2016×	body	1024	valid
334.0ms	4249×	body	128	valid
241.0ms	1000×	body	512	valid
149.0ms	222×	body	2048	valid
82.0ms	513×	body	256	valid
20.0ms	227×	body	128	invalid
13.0ms	167×	body	128	overflowed
9.0ms	22×	body	1024	invalid
3.0ms	12×	body	512	invalid
1.0ms	3×	body	256	invalid

Compiler

Compiled 4641 to 3859 computations (16.8% saved)

Pareto

0.03759709537739943

Details

analyze222.0ms (2.1%)

sample71.0ms (0.7%)

simplify157.0ms (1.5%)

prune4.0ms (0%)

localize22.0ms (0.2%)

rewrite84.0ms (0.8%)

series420.0ms (3.9%)

simplify140.0ms (1.3%)

prune639.0ms (5.9%)

localize8.0ms (0.1%)

rewrite13.0ms (0.1%)

series39.0ms (0.4%)

simplify79.0ms (0.7%)

prune41.0ms (0.4%)

localize8.0ms (0.1%)

rewrite13.0ms (0.1%)

series53.0ms (0.5%)

simplify94.0ms (0.9%)

prune50.0ms (0.5%)

localize26.0ms (0.2%)

rewrite139.0ms (1.3%)

series1.0s (9.3%)

simplify119.0ms (1.1%)

prune1.0s (9.7%)

simplify158.0ms (1.5%)

regimes219.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.9s (54.8%)

Profiling