Details

analyze210.0ms (4.8%)

Algorithm

1×

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
12.5%	87.4%	0.1%	6
18.7%	81.1%	0.1%	7
37.4%	62.4%	0.1%	8
46.8%	46.8%	6.4%	9
54.6%	39%	6.4%	10
62.8%	30.8%	6.4%	11
66.9%	23.6%	9.5%	12
71.7%	18.8%	9.5%	13
75.3%	15.2%	9.5%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify106.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	209	10
1	209	10

prune2.0ms (0%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 3) y)
0.0b	(-.f64 (.f64 (.f64 x 3) y) z)
0.0b	(-.f64 (.f64 (.f64 x 3) y) z)
0.2b	(.f64 (.f64 x 3) y)

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_14438` `pow1_binary64_14461` `add-cbrt-cube_binary64_14436`
4×	`add-cube-cbrt_binary64_14435` `add-sqr-sqrt_binary64_14422` `add-log-exp_binary64_14439` `*-un-lft-identity_binary64_14400`
3×	`cbrt-unprod_binary64_14433` `cancel-sign-sub-inv_binary64_14366` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `associate-r_binary64_14340`
1×	`sub-neg_binary64_14393` `flip--_binary64_14375` `flip3--_binary64_14404` `associate-l_binary64_14341` `diff-log_binary64_14492` `*-commutative_binary64_14331`

Counts

2 → 32

Calls

4 calls:

10.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
7.0ms	(.f64 (.f64 x 3) y)
0.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
0.0ms	(.f64 (.f64 x 3) y)

series172.0ms (3.9%)

Counts

2 → 24

Calls

2 calls:

114.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
57.0ms	(.f64 (.f64 x 3) y)

Compiler

Compiled 247 to 260 computations (-5.3% saved)

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4873	530
1	4873	530

prune49.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	6	57

Error

0.0b

Counts

57 → 6

Compiler

Compiled 572 to 368 computations (35.7% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 3 y))
0.0b	(-.f64 (.f64 x (.f64 3 y)) z)
0.0b	(-.f64 (.f64 x (.f64 3 y)) z)
0.2b	(.f64 x (.f64 3 y))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_14438` `pow1_binary64_14461` `add-cbrt-cube_binary64_14436`
4×	`add-cube-cbrt_binary64_14435` `add-sqr-sqrt_binary64_14422` `add-log-exp_binary64_14439` `*-un-lft-identity_binary64_14400`
3×	`cbrt-unprod_binary64_14433` `cancel-sign-sub-inv_binary64_14366` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `associate-l_binary64_14341`
1×	`sub-neg_binary64_14393` `flip--_binary64_14375` `flip3--_binary64_14404` `diff-log_binary64_14492` `-commutative_binary64_14331` `associate-r*_binary64_14340`

Counts

2 → 32

Calls

4 calls:

6.0ms	(-.f64 (.f64 x (.f64 3 y)) z)
6.0ms	(.f64 x (.f64 3 y))
0.0ms	(-.f64 (.f64 x (.f64 3 y)) z)
0.0ms	(.f64 x (.f64 3 y))

series165.0ms (3.8%)

Counts

2 → 24

Calls

2 calls:

114.0ms	(-.f64 (.f64 x (.f64 3 y)) z)
51.0ms	(.f64 x (.f64 3 y))

Compiler

Compiled 247 to 260 computations (-5.3% saved)

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4977	528
1	4977	528

prune40.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	54	8	62

Error

0.0b

Counts

62 → 8

Compiler

Compiled 599 to 387 computations (35.4% saved)

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 (.f64 x 3) y)
0.0b	(-.f64 (.f64 (.f64 x 3) y) z)
0.0b	(-.f64 (.f64 (.f64 x 3) y) z)
0.0b	(-.f64 (.f64 (.f64 x 3) y) z)
0.5b	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
0.5b	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
0.5b	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z)) (cbrt.f64 (-.f64 (.f64 (*.f64 x 3) y) z)))

rewrite49.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_14431`
23×	`add-sqr-sqrt_binary64_14422`
18×	`cbrt-div_binary64_14432`
15×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
11×	`pow1_binary64_14461`
9×	`pow1/3_binary64_14482` `flip--_binary64_14375` `flip3--_binary64_14404`
6×	`add-exp-log_binary64_14438` `associate-l_binary64_14341` `associate-r_binary64_14340` `swap-sqr_binary64_14367`
4×	`frac-times_binary64_14410` `add-log-exp_binary64_14439` `unswap-sqr_binary64_14368` `add-cbrt-cube_binary64_14436`
2×	`associate-l/_binary64_14343` `pow-prod-down_binary64_14471` `associate-r/_binary64_14342` `pow-prod-up_binary64_14470` `pow-sqr_binary64_14373`
1×	`cbrt-unprod_binary64_14433` `pow-plus_binary64_14463` `prod-exp_binary64_14449` `pow2_binary64_14481` `*-commutative_binary64_14331`

Counts

4 → 87

Calls

8 calls:

18.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z)) (cbrt.f64 (-.f64 (.f64 (*.f64 x 3) y) z)))
8.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
6.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
6.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
0.0ms	(-.f64 (.f64 (.f64 x 3) y) z)

series1.2s (28%)

Counts

4 → 66

Calls

4 calls:

565.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z)) (cbrt.f64 (-.f64 (.f64 (*.f64 x 3) y) z)))
223.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
222.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
219.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))

Compiler

Compiled 4973 to 4148 computations (16.6% saved)

simplify72.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5651	4418

prune278.0ms (6.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	153	8	161

Error

0.0b

Counts

161 → 8

Compiler

Compiled 5445 to 3658 computations (32.8% saved)

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

30.6b	(cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3))
0.2b	(pow.f64 (.f64 (.f64 x 3) y) 3)
0.2b	(.f64 (.f64 x 3) y)
0.0b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3)) z)
0.0b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3)) z)
0.2b	(.f64 (.f64 x 3) y)
0.2b	(pow.f64 (.f64 (.f64 x 3) y) 3)
30.6b	(cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary64_14438` `pow1_binary64_14461` `add-cbrt-cube_binary64_14436`
13×	`add-sqr-sqrt_binary64_14422`
10×	`*-un-lft-identity_binary64_14400` `cbrt-prod_binary64_14431`
8×	`add-cube-cbrt_binary64_14435`
6×	`cbrt-unprod_binary64_14433` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `add-log-exp_binary64_14439`
3×	`cancel-sign-sub-inv_binary64_14366` `difference-of-squares_binary64_14369` `pow-unpow_binary64_14477` `rem-cube-cbrt_binary64_14423` `pow-exp_binary64_14468` `associate-r_binary64_14340` `pow-pow_binary64_14472` `sqr-pow_binary64_14372`
2×	`cube-mult_binary64_14430` `cube-prod_binary64_14428` `unpow-prod-down_binary64_14479` `unpow3_binary64_14466`
1×	`sub-neg_binary64_14393` `pow1/3_binary64_14482` `rem-cbrt-cube_binary64_14424` `flip--_binary64_14375` `flip3--_binary64_14404` `pow-to-exp_binary64_14469` `distribute-lft-out--_binary64_14352` `associate-l_binary64_14341` `diff-log_binary64_14492` `*-commutative_binary64_14331`

Counts

4 → 78

Calls

8 calls:

10.0ms	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3)) z)
6.0ms	(pow.f64 (.f64 (.f64 x 3) y) 3)
6.0ms	(.f64 (.f64 x 3) y)
3.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3))
0.0ms	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3)) z)

series342.0ms (7.8%)

Counts

4 → 36

Calls

4 calls:

129.0ms	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3)) z)
100.0ms	(pow.f64 (.f64 (.f64 x 3) y) 3)
65.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3))
47.0ms	(.f64 (.f64 x 3) y)

Compiler

Compiled 537 to 550 computations (-2.4% saved)

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4967	1188
1	4967	1188

prune87.0ms (2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	2	2	4
Picked	0	1	1
Done	0	3	3
Total	115	7	122

Error

0.0b

Counts

122 → 7

Compiler

Compiled 1345 to 925 computations (31.2% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	175	355
1	175	355

regimes132.0ms (3%)

Compiler: Compiled 964 to 888 computations (7.9% saved)

bsearch0.0ms (0%)

regimes97.0ms (2.2%)

Compiler: Compiled 116 to 200 computations (-72.4% saved)

bsearch0.0ms (0%)

regimes160.0ms (3.6%)

Compiler: Compiled 72 to 140 computations (-94.4% saved)

bsearch44.0ms (1%)

Steps

Iters	Range		Point
6	6.337012229313161e+68	6.705468331759478e+69	6.454087210450806e+68
8	6.999903236553116e+38	8.991863200673344e+41	6.793182366179865e+41
7	3.6163576358319865e-67	3.246637399320646e-65	1.047691412008187e-66
8	-6.414137509046322e-89	-1.540618902765523e-93	-1.526528477030976e-89

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.7%)

Compiler: Compiled 21 to 66 computations (-214.3% saved)

bsearch0.0ms (0%)

regimes26.0ms (0.6%)

Accuracy

Total 0.1b remaining (92.8%)

Threshold costs 0.1b (92.8%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 49 to 44 computations (10.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	60	62
1	60	62

end0.0ms (0%)

sample778.0ms (17.7%)

Algorithm

1×

intervals

Results

195.0ms	8000×	body	128	valid
7.0ms	285×	body	128	invalid

Compiler

Compiled 295 to 276 computations (6.4% saved)

Pareto

0.5747428125269196

Details

analyze210.0ms (4.8%)

sample14.0ms (0.3%)

simplify106.0ms (2.4%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite20.0ms (0.4%)

series172.0ms (3.9%)

simplify78.0ms (1.8%)

prune49.0ms (1.1%)

localize6.0ms (0.1%)

rewrite14.0ms (0.3%)

series165.0ms (3.8%)

simplify71.0ms (1.6%)

prune40.0ms (0.9%)

localize11.0ms (0.2%)

rewrite49.0ms (1.1%)

series1.2s (28%)

simplify72.0ms (1.6%)

prune278.0ms (6.3%)

localize9.0ms (0.2%)

rewrite31.0ms (0.7%)

series342.0ms (7.8%)

simplify49.0ms (1.1%)

prune87.0ms (2%)

simplify8.0ms (0.2%)

regimes132.0ms (3%)

bsearch0.0ms (0%)

regimes97.0ms (2.2%)

bsearch0.0ms (0%)

regimes160.0ms (3.6%)

bsearch44.0ms (1%)

regimes29.0ms (0.7%)

bsearch0.0ms (0%)

regimes26.0ms (0.6%)

bsearch3.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample778.0ms (17.7%)

Profiling