Details

analyze319.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4920	34
1	4920	34
0	2	2
1	2	2

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)

sample44.0ms (1%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
8.0ms	256×	pre	128	true
0.0ms	4×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify128.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4836	17
1	4836	17

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

Error

15.3b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
32.7b	(/.f64 (.f64 b b) (.f64 a a))

rewrite80.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
4×	`prod-exp_binary64_468` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `cbrt-unprod_binary64_452` `add-sqr-sqrt_binary64_441`
3×	`pow1_binary64_480` `add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419` `sqrt-prod_binary64_435`
2×	`add-log-exp_binary64_458`
1×	`frac-2neg_binary64_430` `times-frac_binary64_425` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `associate-/r_binary64_363` `pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432`

Counts

2 → 34

Calls

2 calls:

18.0ms	(/.f64 (.f64 b b) (.f64 a a))
2.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 640 to 268 computations (58.1% saved)

series274.0ms (6%)

Error

15.3b

Counts

2 → 12

Calls

2 calls:

144.0ms	(/.f64 (.f64 b b) (.f64 a a))
113.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 396 to 374 computations (5.6% saved)

simplify160.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4903	515
1	4903	515

prune72.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	2	47

Error

Counts

47 → 2

Compiler

Compiled 579 to 378 computations (34.7% saved)

localize17.0ms (0.4%)

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)
4.5b	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite178.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`unpow-prod-down_binary64_498`
22×	`add-sqr-sqrt_binary64_441`
21×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
19×	`log-pow_binary64_508`
18×	`exp-prod_binary64_471` `times-frac_binary64_425`
6×	`pow1_binary64_480` `add-exp-log_binary64_457`
3×	`log-prod_binary64_505` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `pow-unpow_binary64_496` `sqrt-prod_binary64_435`
2×	`div-inv_binary64_416` `unpow2_binary64_484` `sqr-pow_binary64_391` `pow-exp_binary64_487`
1×	`rem-log-exp_binary64_460` `pow-pow_binary64_491` `pow-to-exp_binary64_488` `div-exp_binary64_470` `pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432`

Counts

3 → 72

Calls

3 calls:

13.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
9.0ms	(pow.f64 (/.f64 b a) 2)
2.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

Compiler

Compiled 1364 to 943 computations (30.9% saved)

series634.0ms (13.8%)

Error

Counts

3 → 18

Calls

3 calls:

361.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
130.0ms	(pow.f64 (/.f64 b a) 2)
116.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

Compiler

Compiled 630 to 588 computations (6.7% saved)

simplify110.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5039	948

prune141.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	90	2	92

Error

Counts

92 → 2

Compiler

Compiled 1274 to 843 computations (33.8% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite85.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`unpow-prod-down_binary64_498`
12×	`add-sqr-sqrt_binary64_441`
11×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
9×	`times-frac_binary64_425`
5×	`add-exp-log_binary64_457`
4×	`pow1_binary64_480`
3×	`pow-unpow_binary64_496` `sqrt-prod_binary64_435`
2×	`pow-exp_binary64_487` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
1×	`div-inv_binary64_416` `pow-pow_binary64_491` `pow-to-exp_binary64_488` `div-exp_binary64_470` `unpow2_binary64_484` `sqr-pow_binary64_391` `pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432`

Counts

2 → 42

Calls

2 calls:

9.0ms	(pow.f64 (/.f64 b a) 2)
2.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))

Compiler

Compiled 687 to 467 computations (32% saved)

series256.0ms (5.6%)

Error

Counts

2 → 12

Calls

2 calls:

132.0ms	(pow.f64 (/.f64 b a) 2)
105.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))

Compiler

Compiled 396 to 374 computations (5.6% saved)

simplify99.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5242	651

prune73.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	54	2	56

Error

Counts

56 → 2

Compiler

Compiled 684 to 447 computations (34.6% saved)

regimes227.0ms (5%)

Accuracy

Total 0.0b remaining (77.4%)

Threshold costs 0.0b (77.4%)

Compiler

Compiled 882 to 702 computations (20.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	18
1	22	18

end0.0ms (0%)

sample1.6s (35.9%)

Algorithm

1×

intervals

Results

505.0ms	8000×	body	128	valid
292.0ms	8000×	pre	128	true
6.0ms	125×	pre	128	false

Compiler

Compiled 128 to 104 computations (18.8% saved)

Details

analyze319.0ms (7%)

sample44.0ms (1%)

simplify128.0ms (2.8%)

prune7.0ms (0.2%)

localize16.0ms (0.3%)

rewrite80.0ms (1.7%)

series274.0ms (6%)

simplify160.0ms (3.5%)

prune72.0ms (1.6%)

localize17.0ms (0.4%)

rewrite178.0ms (3.9%)

series634.0ms (13.8%)

simplify110.0ms (2.4%)

prune141.0ms (3.1%)

localize13.0ms (0.3%)

rewrite85.0ms (1.9%)

series256.0ms (5.6%)

simplify99.0ms (2.2%)

prune73.0ms (1.6%)

regimes227.0ms (5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.6s (35.9%)

Profiling