Details

analyze649.0ms (10.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	70
1	23	70
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample38.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	45×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	10
1	11	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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_5232`
1×	`sum-log_binary64_5284` `pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `flip3-+_binary64_5196` `*-un-lft-identity_binary64_5193` `flip-+_binary64_5167` `+-commutative_binary64_5123`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 178 to 42 computations (76.4% saved)

series142.0ms (2.4%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

133.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 324 to 235 computations (27.5% saved)

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4831	355
1	4831	355

prune19.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

0.0b

Counts

36 → 2

Compiler

Compiled 305 to 51 computations (83.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
1.5b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.5b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.5b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

rewrite118.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_5224`
23×	`add-sqr-sqrt_binary64_5215`
18×	`cbrt-div_binary64_5225`
15×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
11×	`pow1_binary64_5254`
9×	`pow1/3_binary64_5275` `flip3-+_binary64_5196` `flip-+_binary64_5167`
6×	`add-exp-log_binary64_5231` `swap-sqr_binary64_5160` `associate-l_binary64_5134` `associate-r_binary64_5133`
4×	`add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `frac-times_binary64_5203` `unswap-sqr_binary64_5161`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166` `associate-l/_binary64_5136` `associate-r/_binary64_5135`
1×	`pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `*-commutative_binary64_5124`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 3392 to 341 computations (89.9% saved)

series1.4s (24.2%)

Error

0.0b

Counts

4 → 96

Calls

4 calls:

352.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
335.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
321.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
320.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 10368 to 6200 computations (40.2% saved)

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5173	4826

prune173.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	182	3	185

Error

0.0b

Counts

185 → 3

Compiler

Compiled 6189 to 1134 computations (81.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.5b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 t z)))
1.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 t z)))
1.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 t z)))

rewrite93.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_5224`
8×	`add-cube-cbrt_binary64_5228` `cbrt-div_binary64_5225` `add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
4×	`pow1/3_binary64_5275` `pow1_binary64_5254` `add-log-exp_binary64_5232` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `flip3-+_binary64_5196` `flip-+_binary64_5167`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 t z)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 t z)))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 3004 to 281 computations (90.6% saved)

series1.5s (24.9%)

Error

0.0b

Counts

4 → 96

Calls

4 calls:

346.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 t z)))
340.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 t z)))
338.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
318.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 15664 to 6870 computations (56.1% saved)

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5001	3564

prune202.0ms (3.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	148	3	151

Error

0.0b

Counts

151 → 3

Compiler

Compiled 8224 to 1328 computations (83.9% saved)

regimes158.0ms (2.6%)

Accuracy

Total 0.0b remaining (31.2%)

Threshold costs 0.0b (31.2%)

Compiler

Compiled 2036 to 892 computations (56.2% saved)

bsearch0.0ms (0%)

simplify21.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample1.2s (19.2%)

Algorithm

1×

intervals

Results

212.0ms	8000×	body	128	valid
32.0ms	1307×	body	128	invalid

Compiler

Compiled 301 to 137 computations (54.5% saved)

Details

analyze649.0ms (10.8%)

sample38.0ms (0.6%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite12.0ms (0.2%)

series142.0ms (2.4%)

simplify91.0ms (1.5%)

prune19.0ms (0.3%)

localize9.0ms (0.2%)

rewrite118.0ms (2%)

series1.4s (24.2%)

simplify71.0ms (1.2%)

prune173.0ms (2.9%)

localize16.0ms (0.3%)

rewrite93.0ms (1.5%)

series1.5s (24.9%)

simplify71.0ms (1.2%)

prune202.0ms (3.4%)

regimes158.0ms (2.6%)

bsearch0.0ms (0%)

simplify21.0ms (0.4%)

end0.0ms (0%)

sample1.2s (19.2%)

Profiling