Details

analyze418.0ms (31.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

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%	99.9%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (1.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify19.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune3.0ms (0.2%)

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

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize9.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
0.0b	(*.f64 (-.f64 1 x) y)

rewrite16.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_20219`
7×	`*-un-lft-identity_binary64_20197`
6×	`associate-l_binary64_20138`
4×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `add-log-exp_binary64_20236` `add-cube-cbrt_binary64_20232` `pow1_binary64_20258`
3×	`associate-r_binary64_20137`
2×	`difference-of-squares_binary64_20166` `associate-*l/_binary64_20140`
1×	`flip3--_binary64_20201` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `sum-log_binary64_20288` `prod-exp_binary64_20246` `distribute-lft-out--_binary64_20149` `+-commutative_binary64_20127` `*-commutative_binary64_20128` `pow-prod-down_binary64_20268` `flip3-+_binary64_20200` `flip--_binary64_20172` `flip-+_binary64_20171`

Counts

2 → 34

Calls

2 calls:

7.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
7.0ms	(*.f64 (-.f64 1 x) y)

series49.0ms (3.7%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
20.0ms	(*.f64 (-.f64 1 x) y)

simplify39.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5273	464

prune29.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Error

0.0b

Counts

42 → 2

Compiler

Compiled 547 to 251 computations (54.1% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 z y))
0.0b	(+.f64 y (*.f64 x (-.f64 z y)))

rewrite16.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_20219` `cancel-sign-sub-inv_binary64_20163`
10×	`*-un-lft-identity_binary64_20197`
8×	`associate-+r+_binary64_20129` `add-cube-cbrt_binary64_20232` `distribute-lft-in_binary64_20146` `distribute-rgt-in_binary64_20147`
5×	`associate-r_binary64_20137`
4×	`sub-neg_binary64_20190` `add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `add-log-exp_binary64_20236` `pow1_binary64_20258`
3×	`associate-l_binary64_20138`
2×	`associate-*r/_binary64_20139`
1×	`flip3--_binary64_20201` `cbrt-unprod_binary64_20230` `difference-of-squares_binary64_20166` `unswap-sqr_binary64_20165` `sum-log_binary64_20288` `prod-exp_binary64_20246` `distribute-lft-out--_binary64_20149` `+-commutative_binary64_20127` `*-commutative_binary64_20128` `pow-prod-down_binary64_20268` `flip3-+_binary64_20200` `flip--_binary64_20172` `flip-+_binary64_20171`

Counts

2 → 49

Calls

2 calls:

8.0ms	(*.f64 x (-.f64 z y))
4.0ms	(+.f64 y (*.f64 x (-.f64 z y)))

series61.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(*.f64 x (-.f64 z y))
30.0ms	(+.f64 y (*.f64 x (-.f64 z y)))

simplify62.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5130	584

prune30.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	55	2	57

Error

0.0b

Counts

57 → 2

Compiler

Compiled 652 to 151 computations (76.8% saved)

regimes34.0ms (2.5%)

Accuracy

Total 0.0b remaining (65.6%)

Threshold costs 0.0b (65.6%)

Compiler

Compiled 88 to 90 computations (-2.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample526.0ms (39.4%)

Algorithm

1×

intervals

Results

231.0ms	8000×	body	128	valid
17.0ms	634×	body	128	invalid

Compiler

Compiled 42 to 40 computations (4.8% saved)

Details

analyze418.0ms (31.4%)

sample15.0ms (1.1%)

simplify19.0ms (1.4%)

prune3.0ms (0.2%)

localize9.0ms (0.7%)

rewrite16.0ms (1.2%)

series49.0ms (3.7%)

simplify39.0ms (2.9%)

prune29.0ms (2.1%)

localize5.0ms (0.4%)

rewrite16.0ms (1.2%)

series61.0ms (4.6%)

simplify62.0ms (4.6%)

prune30.0ms (2.3%)

regimes34.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample526.0ms (39.4%)

Profiling