Details

analyze356.0ms (12.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	40
1	134	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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	22×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

prune3.0ms (0.1%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite37.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
4×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `associate-r_binary64_2405`
3×	`associate-l_binary64_2406`
2×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `flip3-+_binary64_2468` `associate-*r/_binary64_2407` `flip-+_binary64_2439` `associate-+r+_binary64_2397`
1×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `distribute-lft-out_binary64_2416` `*-commutative_binary64_2396` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 y (+.f64 z x))
3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Compiler

Compiled 491 to 140 computations (71.5% saved)

series221.0ms (7.6%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

117.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
86.0ms	(*.f64 y (+.f64 z x))

Compiler

Compiled 598 to 338 computations (43.5% saved)

simplify85.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4971	641
1	4971	641

prune37.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	3	70

Error

Counts

70 → 3

Compiler

Compiled 660 to 143 computations (78.3% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite66.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
15×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547`
6×	`add-exp-log_binary64_2503` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `unswap-sqr_binary64_2433`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1378 to 316 computations (77.1% saved)

series322.0ms (11.2%)

Error

Counts

4 → 12

Calls

4 calls:

85.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
77.0ms	(cbrt.f64 y)
76.0ms	(cbrt.f64 y)
73.0ms	(cbrt.f64 y)

Compiler

Compiled 591 to 400 computations (32.3% saved)

simplify83.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune60.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Error

Counts

88 → 3

Compiler

Compiled 1413 to 378 computations (73.2% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
0.0b	(*.f64 y (+.f64 x z))
0.3b	(pow.f64 (*.f64 y (+.f64 x z)) 3)
33.8b	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

rewrite90.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`*-un-lft-identity_binary64_2465`
10×	`add-sqr-sqrt_binary64_2487`
9×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-cube-cbrt_binary64_2500` `cbrt-prod_binary64_2496`
6×	`add-log-exp_binary64_2504` `associate-*r/_binary64_2407`
4×	`flip3-+_binary64_2468` `cube-div_binary64_2494` `flip-+_binary64_2439` `associate-r_binary64_2405`
3×	`pow-unpow_binary64_2542` `associate-l_binary64_2406`
2×	`cbrt-div_binary64_2497` `unpow-prod-down_binary64_2544` `unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-prod_binary64_2493` `sqr-pow_binary64_2437` `pow-prod-down_binary64_2536` `pow-pow_binary64_2537` `prod-exp_binary64_2514` `pow-exp_binary64_2533` `rem-cube-cbrt_binary64_2488` `cbrt-unprod_binary64_2498` `distribute-lft-out_binary64_2416`
1×	`pow1/3_binary64_2547` `rem-cbrt-cube_binary64_2489` `pow-to-exp_binary64_2534` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `*-commutative_binary64_2396` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 78

Calls

4 calls:

6.0ms	(*.f64 y (+.f64 x z))
6.0ms	(pow.f64 (*.f64 y (+.f64 x z)) 3)
5.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
3.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

Compiler

Compiled 1371 to 604 computations (55.9% saved)

series505.0ms (17.5%)

Error

Counts

4 → 66

Calls

4 calls:

142.0ms	(pow.f64 (*.f64 y (+.f64 x z)) 3)
136.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
93.0ms	(*.f64 y (+.f64 x z))
91.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

Compiler

Compiled 1931 to 1381 computations (28.5% saved)

simplify51.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5566	1619

prune93.0ms (3.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	144	3	147

Error

Counts

147 → 3

Compiler

Compiled 1762 to 680 computations (61.4% saved)

regimes113.0ms (3.9%)

Accuracy

Total 0.0b remaining (46.5%)

Threshold costs 0.0b (46.5%)

Compiler

Compiled 564 to 494 computations (12.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample712.0ms (24.7%)

Algorithm

1×

intervals

Results

200.0ms	8000×	body	128	valid
13.0ms	592×	body	128	invalid

Compiler

Compiled 151 to 132 computations (12.6% saved)

Details

analyze356.0ms (12.3%)

sample17.0ms (0.6%)

simplify9.0ms (0.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite37.0ms (1.3%)

series221.0ms (7.6%)

simplify85.0ms (2.9%)

prune37.0ms (1.3%)

localize12.0ms (0.4%)

rewrite66.0ms (2.3%)

series322.0ms (11.2%)

simplify83.0ms (2.9%)

prune60.0ms (2.1%)

localize8.0ms (0.3%)

rewrite90.0ms (3.1%)

series505.0ms (17.5%)

simplify51.0ms (1.8%)

prune93.0ms (3.2%)

regimes113.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample712.0ms (24.7%)

Profiling