Details

analyze35.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

Compiler

Compiled 18 to 11 computations (38.9% saved)

sample21.0ms (1.1%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true
0.0ms	2×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify167.0ms (8.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4836	17
1	4836	17

prune4.0ms (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

13.3b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
26.8b	(/.f64 (.f64 b b) (.f64 a a))

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
4×	`cbrt-unprod_binary64_4885` `prod-exp_binary64_4901` `add-sqr-sqrt_binary64_4874` `cbrt-undiv_binary64_4886` `div-exp_binary64_4903`
3×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `pow1_binary64_4913` `sqrt-prod_binary64_4868`
2×	`add-log-exp_binary64_4891`
1×	`times-frac_binary64_4858` `pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `div-inv_binary64_4849` `rem-sqrt-square_binary64_4865` `associate-/l_binary64_4797` `clear-num_binary64_4851` `associate-/r_binary64_4796` `frac-2neg_binary64_4863`

Counts

2 → 34

Calls

2 calls:

7.0ms	(/.f64 (.f64 b b) (.f64 a a))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

series152.0ms (7.9%)

Counts

2 → 12

Calls

2 calls:

86.0ms	(/.f64 (.f64 b b) (.f64 a a))
65.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 264 to 264 computations (0% saved)

simplify89.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4903	515
1	4903	515

prune41.0ms (2.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	1	47

Error

Counts

47 → 1

Compiler

Compiled 570 to 369 computations (35.3% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
0.4b	(pow.f64 (/.f64 b a) 2)
6.1b	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite20.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`unpow-prod-down_binary64_4931`
22×	`add-sqr-sqrt_binary64_4874`
21×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
19×	`log-pow_binary64_4941`
18×	`times-frac_binary64_4858` `exp-prod_binary64_4904`
6×	`add-exp-log_binary64_4890` `pow1_binary64_4913`
3×	`add-cbrt-cube_binary64_4888` `log-prod_binary64_4938` `add-log-exp_binary64_4891` `pow-unpow_binary64_4929` `sqrt-prod_binary64_4868`
2×	`div-inv_binary64_4849` `pow-exp_binary64_4920` `unpow2_binary64_4917` `sqr-pow_binary64_4824`
1×	`pow-pow_binary64_4924` `pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `rem-sqrt-square_binary64_4865` `pow-to-exp_binary64_4921` `rem-log-exp_binary64_4893` `div-exp_binary64_4903`

Counts

3 → 72

Calls

3 calls:

8.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
5.0ms	(pow.f64 (/.f64 b a) 2)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

series373.0ms (19.5%)

Counts

3 → 18

Calls

3 calls:

227.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
73.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
73.0ms	(pow.f64 (/.f64 b a) 2)

Compiler

Compiled 420 to 420 computations (0% saved)

simplify61.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5039	948

prune76.0ms (4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	1	91

Error

Counts

91 → 1

Compiler

Compiled 1265 to 838 computations (33.8% saved)

regimes98.0ms (5.1%)

Accuracy

Total 0.0b remaining (62.7%)

Threshold costs 0.0b (62.7%)

Compiler

Compiled 603 to 514 computations (14.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	18
1	22	18

end0.0ms (0%)

sample748.0ms (39.1%)

Algorithm

1×

intervals

Results

282.0ms	8000×	body	128	valid
161.0ms	8000×	pre	128	true
3.0ms	129×	pre	128	false

Compiler

Compiled 94 to 82 computations (12.8% saved)

Details

analyze35.0ms (1.8%)

sample21.0ms (1.1%)

simplify167.0ms (8.7%)

prune4.0ms (0.2%)

localize8.0ms (0.4%)

rewrite11.0ms (0.6%)

series152.0ms (7.9%)

simplify89.0ms (4.7%)

prune41.0ms (2.1%)

localize9.0ms (0.5%)

rewrite20.0ms (1%)

series373.0ms (19.5%)

simplify61.0ms (3.2%)

prune76.0ms (4%)

regimes98.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample748.0ms (39.1%)

Profiling