Details

analyze2.0s (17.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	256
1	121	256
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 12 to 12 computations (0% saved)

sample61.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	135×	body	128	invalid
9.0ms	256×	body	128	valid

Compiler

Compiled 23 to 29 computations (-26.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

prune3.0ms (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 22 to 22 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-log-exp_binary64_5232`
3×	`sum-log_binary64_5284`
1×	`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` `associate-+l+_binary64_5126` `+-commutative_binary64_5123`

Counts

1 → 13

Calls

1 calls:

7.0ms

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

Compiler

Compiled 288 to 53 computations (81.6% saved)

series436.0ms (3.8%)

Error

0.0b

Counts

1 → 36

Calls

1 calls:

427.0ms

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

Compiler

Compiled 515 to 547 computations (-6.2% saved)

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5445	701

prune30.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Error

Counts

50 → 2

Compiler

Compiled 308 to 61 computations (80.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))
0.6b	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
0.6b	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
0.6b	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))

rewrite186.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

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:

16.0ms	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))
6.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
6.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))

Compiler

Compiled 4611 to 334 computations (92.8% saved)

series6.3s (54.6%)

Error

Counts

4 → 146

Calls

4 calls:

2.4s	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))
1.2s	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
1.2s	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
1.2s	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))

Compiler

Compiled 26626 to 15706 computations (41% saved)

simplify115.0ms (1%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4986	9650
1	4986	9650

prune404.0ms (3.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	233	2	235

Error

Counts

235 → 2

Compiler

Compiled 10110 to 2320 computations (77.1% saved)

regimes809.0ms (7.1%)

Accuracy

Total 0.0b remaining (13.5%)

Threshold costs 0.0b (13.5%)

Compiler

Compiled 9352 to 5792 computations (38.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

end47.0ms (0.4%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 77 to 77 computations (0% saved)

sample1.0s (9%)

Algorithm

1×

intervals

Results

285.0ms	8000×	body	128	valid
144.0ms	3882×	body	128	invalid

Compiler

Compiled 75 to 75 computations (0% saved)

Details

analyze2.0s (17.1%)

sample61.0ms (0.5%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite33.0ms (0.3%)

series436.0ms (3.8%)

simplify59.0ms (0.5%)

prune30.0ms (0.3%)

localize13.0ms (0.1%)

rewrite186.0ms (1.6%)

series6.3s (54.6%)

simplify115.0ms (1%)

prune404.0ms (3.5%)

regimes809.0ms (7.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end47.0ms (0.4%)

sample1.0s (9%)

Profiling