Details

analyze452.0ms (18.4%)

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)

sample22.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify21.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

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

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite43.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_21924` `cancel-sign-sub-inv_binary64_21868`
10×	`*-un-lft-identity_binary64_21902`
8×	`add-cube-cbrt_binary64_21937` `distribute-rgt-in_binary64_21852` `distribute-lft-in_binary64_21851` `associate-+r+_binary64_21834`
5×	`associate-r_binary64_21842`
4×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-log-exp_binary64_21941` `add-cbrt-cube_binary64_21938` `sub-neg_binary64_21895`
3×	`associate-l_binary64_21843`
2×	`associate-*r/_binary64_21844`
1×	`pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935` `unswap-sqr_binary64_21870` `flip3--_binary64_21906` `flip--_binary64_21877` `difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854` `*-commutative_binary64_21833` `sum-log_binary64_21993` `flip3-+_binary64_21905` `flip-+_binary64_21876` `+-commutative_binary64_21832`

Counts

2 → 49

Calls

2 calls:

7.0ms	(*.f64 x (-.f64 z y))
4.0ms	(+.f64 y (*.f64 x (-.f64 z y)))

Compiler

Compiled 682 to 192 computations (71.8% saved)

series226.0ms (9.2%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

112.0ms	(+.f64 y (*.f64 x (-.f64 z y)))
95.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 618 to 363 computations (41.3% saved)

simplify91.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4912	764
1	4912	764

prune46.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Error

Counts

84 → 3

Compiler

Compiled 826 to 173 computations (79.1% saved)

localize6.0ms (0.2%)

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)

rewrite42.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64_21924`
7×	`*-un-lft-identity_binary64_21902`
6×	`associate-l_binary64_21843`
4×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-log-exp_binary64_21941` `add-cbrt-cube_binary64_21938` `add-cube-cbrt_binary64_21937`
3×	`associate-r_binary64_21842`
2×	`associate-*l/_binary64_21845` `difference-of-squares_binary64_21871`
1×	`pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935` `unswap-sqr_binary64_21870` `flip3--_binary64_21906` `flip--_binary64_21877` `distribute-lft-out--_binary64_21854` `*-commutative_binary64_21833` `sum-log_binary64_21993` `flip3-+_binary64_21905` `flip-+_binary64_21876` `+-commutative_binary64_21832`

Counts

2 → 34

Calls

2 calls:

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

Compiler

Compiled 571 to 316 computations (44.7% saved)

series187.0ms (7.6%)

Error

Counts

2 → 27

Calls

2 calls:

116.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
60.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 529 to 325 computations (38.6% saved)

simplify68.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5615	606

prune37.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Error

Counts

64 → 3

Compiler

Compiled 678 to 196 computations (71.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (sqrt.f64 (-.f64 z y)))
0.1b	(.f64 (.f64 x (sqrt.f64 (-.f64 z y))) (sqrt.f64 (-.f64 z y)))

rewrite69.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`associate-r_binary64_21842`
15×	`add-sqr-sqrt_binary64_21924`
14×	`sqrt-div_binary64_21919`
11×	`*-un-lft-identity_binary64_21902` `sqrt-prod_binary64_21918`
10×	`associate-*r/_binary64_21844`
9×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
7×	`add-cube-cbrt_binary64_21937` `flip3--_binary64_21906` `flip--_binary64_21877`
4×	`pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935` `frac-times_binary64_21912` `associate-l_binary64_21843`
2×	`add-log-exp_binary64_21941` `associate-l/_binary64_21845` `difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854` `-commutative_binary64_21833` `unswap-sqr_binary64_21870`

Counts

2 → 57

Calls

2 calls:

14.0ms	(.f64 (.f64 x (sqrt.f64 (-.f64 z y))) (sqrt.f64 (-.f64 z y)))
9.0ms	(*.f64 x (sqrt.f64 (-.f64 z y)))

Compiler

Compiled 1274 to 285 computations (77.6% saved)

series209.0ms (8.5%)

Error

Counts

2 → 25

Calls

2 calls:

104.0ms	(.f64 (.f64 x (sqrt.f64 (-.f64 z y))) (sqrt.f64 (-.f64 z y)))
93.0ms	(*.f64 x (sqrt.f64 (-.f64 z y)))

Compiler

Compiled 838 to 493 computations (41.2% saved)

simplify48.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5133	1018

prune48.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	82	3	85

Error

Counts

85 → 3

Compiler

Compiled 1261 to 268 computations (78.7% saved)

regimes80.0ms (3.3%)

Accuracy

Total 0.0b remaining (70.6%)

Threshold costs 0.0b (70.6%)

Compiler

Compiled 348 to 342 computations (1.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample739.0ms (30.2%)

Algorithm

1×

intervals

Results

231.0ms	8000×	body	128	valid
29.0ms	699×	body	128	invalid

Compiler

Compiled 105 to 101 computations (3.8% saved)

Details

analyze452.0ms (18.4%)

sample22.0ms (0.9%)

simplify21.0ms (0.9%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite43.0ms (1.7%)

series226.0ms (9.2%)

simplify91.0ms (3.7%)

prune46.0ms (1.9%)

localize6.0ms (0.2%)

rewrite42.0ms (1.7%)

series187.0ms (7.6%)

simplify68.0ms (2.8%)

prune37.0ms (1.5%)

localize7.0ms (0.3%)

rewrite69.0ms (2.8%)

series209.0ms (8.5%)

simplify48.0ms (1.9%)

prune48.0ms (2%)

regimes80.0ms (3.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample739.0ms (30.2%)

Profiling