Details

analyze1.0s (17%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5069	64
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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample44.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	198×	body	128	valid
9.0ms	27×	body	1024	valid
4.0ms	20×	body	512	valid
2.0ms	10×	body	512	invalid
1.0ms	11×	body	256	valid
1.0ms	31×	body	128	nan
1.0ms	16×	body	128	invalid
1.0ms	2×	body	1024	invalid
1.0ms	5×	body	256	invalid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4944	16
1	4944	16

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

7.3b

Counts

2 → 1

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
0.0b	(/.f64 y (+.f64 y z))
7.1b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite69.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_12019`
121×	`*-un-lft-identity_binary64_12013`
90×	`unpow-prod-down_binary64_12092`
81×	`add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048`
25×	`associate-/l*_binary64_11958`
20×	`distribute-lft-out_binary64_11964`
17×	`add-exp-log_binary64_12051`
12×	`associate-/r/_binary64_11959`
8×	`add-cbrt-cube_binary64_12049`
7×	`flip3-+_binary64_12016` `associate-/r*_binary64_11957` `div-exp_binary64_12064` `div-inv_binary64_12010` `flip-+_binary64_11987`
6×	`add-log-exp_binary64_12052`
5×	`sqr-pow_binary64_11985` `pow1_binary64_12074`
4×	`pow-exp_binary64_12081`
3×	`pow-unpow_binary64_12090`
2×	`clear-num_binary64_12012` `cbrt-undiv_binary64_12047` `frac-2neg_binary64_12024` `pow-to-exp_binary64_12082`
1×	`+-commutative_binary64_11943` `sum-log_binary64_12104` `pow-pow_binary64_12085`

Counts

4 → 184

Calls

4 calls:

23.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
11.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
11.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
5.0ms	(/.f64 y (+.f64 y z))

series422.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
127.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
91.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
24.0ms	(/.f64 y (+.f64 y z))

simplify87.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4989	4340
1	4989	4340

prune155.0ms (2.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	190	6	196
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	191	6	197

Error

Counts

197 → 6

Compiler

Compiled 4089 to 914 computations (77.6% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 y z))
0.6b	(cbrt.f64 (+.f64 y z))
0.7b	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
1.7b	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

rewrite55.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`unpow-prod-down_binary64_12092`
53×	`cbrt-prod_binary64_12044`
52×	`*-un-lft-identity_binary64_12013`
43×	`times-frac_binary64_12019`
36×	`add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048`
20×	`add-exp-log_binary64_12051`
18×	`cbrt-div_binary64_12045`
10×	`associate-/r/_binary64_11959`
9×	`flip3-+_binary64_12016` `flip-+_binary64_11987`
8×	`distribute-lft-out_binary64_11964`
7×	`pow-exp_binary64_12081`
6×	`pow1_binary64_12074` `pow-unpow_binary64_12090`
5×	`div-exp_binary64_12064`
4×	`add-cbrt-cube_binary64_12049` `add-log-exp_binary64_12052` `prod-exp_binary64_12062` `frac-times_binary64_12023`
2×	`sqr-pow_binary64_11985` `pow1/3_binary64_12095` `div-inv_binary64_12010` `associate-l/_binary64_11956` `pow-to-exp_binary64_12082` `pow-pow_binary64_12085` `associate-r/_binary64_11955`

Counts

4 → 122

Calls

4 calls:

17.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)
11.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
3.0ms	(cbrt.f64 (+.f64 y z))
3.0ms	(cbrt.f64 (+.f64 y z))

series724.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

257.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)
233.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
125.0ms	(cbrt.f64 (+.f64 y z))
108.0ms	(cbrt.f64 (+.f64 y z))

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4940	3322
1	4940	3322

prune153.0ms (2.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	134	6	140

Error

Counts

140 → 6

Compiler

Compiled 5289 to 1144 computations (78.4% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.7b	(pow.f64 (*.f64 (cbrt.f64 (/.f64 y (+.f64 y z))) (cbrt.f64 (/.f64 y (+.f64 y z)))) y)
6.8b	(cbrt.f64 (/.f64 y (+.f64 y z)))
6.8b	(cbrt.f64 (/.f64 y (+.f64 y z)))
6.8b	(cbrt.f64 (/.f64 y (+.f64 y z)))

rewrite44.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`cbrt-prod_binary64_12044`
47×	`*-un-lft-identity_binary64_12013`
36×	`times-frac_binary64_12019`
29×	`add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048`
12×	`pow1_binary64_12074`
9×	`distribute-lft-out_binary64_11964` `pow1/3_binary64_12095` `pow-pow_binary64_12085`
7×	`add-exp-log_binary64_12051`
6×	`associate-/r/_binary64_11959`
4×	`add-cbrt-cube_binary64_12049` `add-log-exp_binary64_12052`
3×	`flip3-+_binary64_12016` `div-inv_binary64_12010` `flip-+_binary64_11987` `pow-unpow_binary64_12090` `cbrt-div_binary64_12045`
2×	`pow-prod-up_binary64_12083` `pow-prod-down_binary64_12084` `pow-sqr_binary64_11986` `pow-exp_binary64_12081`
1×	`unpow-prod-down_binary64_12092` `pow-plus_binary64_12076` `sqr-pow_binary64_11985` `pow-to-exp_binary64_12082` `prod-exp_binary64_12062` `pow2_binary64_12094`

Counts

4 → 105

Calls

4 calls:

14.0ms	(pow.f64 (*.f64 (cbrt.f64 (/.f64 y (+.f64 y z))) (cbrt.f64 (/.f64 y (+.f64 y z)))) y)
7.0ms	(cbrt.f64 (/.f64 y (+.f64 y z)))
5.0ms	(cbrt.f64 (/.f64 y (+.f64 y z)))
5.0ms	(cbrt.f64 (/.f64 y (+.f64 y z)))

series578.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

256.0ms	(pow.f64 (*.f64 (cbrt.f64 (/.f64 y (+.f64 y z))) (cbrt.f64 (/.f64 y (+.f64 y z)))) y)
115.0ms	(cbrt.f64 (/.f64 y (+.f64 y z)))
106.0ms	(cbrt.f64 (/.f64 y (+.f64 y z)))
101.0ms	(cbrt.f64 (/.f64 y (+.f64 y z)))

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4969	2013
1	4969	2013

prune131.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	117	6	123

Error

Counts

123 → 6

Compiler

Compiled 4778 to 745 computations (84.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
0.0b	(/.f64 (exp.f64 (neg.f64 z)) y)

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_12013`
10×	`add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048`
9×	`times-frac_binary64_12019`
4×	`add-cbrt-cube_binary64_12049` `add-log-exp_binary64_12052`
3×	`associate-/r_binary64_11957` `add-exp-log_binary64_12051` `associate-/l_binary64_11958`
2×	`pow1_binary64_12074` `associate-/l/_binary64_11960`
1×	`distribute-lft-out_binary64_11964` `exp-neg_binary64_12060` `+-commutative_binary64_11943` `sum-log_binary64_12104` `flip3-+_binary64_12016` `exp-diff_binary64_12061` `clear-num_binary64_12012` `div-exp_binary64_12064` `neg-sub0_binary64_12008` `div-inv_binary64_12010` `flip-+_binary64_11987` `cbrt-undiv_binary64_12047` `frac-2neg_binary64_12024`

Counts

2 → 41

Calls

2 calls:

6.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
5.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

series48.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

24.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
23.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5446	664

prune34.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	47	6	53

Error

Counts

53 → 6

Compiler

Compiled 577 to 162 computations (71.9% saved)

regimes273.0ms (4.4%)

Accuracy

Total 2.0b remaining (83.4%)

Threshold costs 0b (0%)

Compiler

Compiled 2910 to 1762 computations (39.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	39
1	18	39

end0.0ms (0%)

sample1.9s (31.4%)

Algorithm

1×

intervals

Results

387.0ms	6162×	body	128	valid
343.0ms	901×	body	1024	valid
147.0ms	611×	body	512	valid
66.0ms	190×	body	1024	invalid
50.0ms	1092×	body	128	nan
49.0ms	212×	body	512	invalid
45.0ms	318×	body	256	valid
26.0ms	427×	body	128	invalid
20.0ms	144×	body	256	invalid
5.0ms	8×	body	2048	valid

Compiler

Compiled 632 to 383 computations (39.4% saved)

Details

analyze1.0s (17%)

sample44.0ms (0.7%)

simplify69.0ms (1.1%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

rewrite69.0ms (1.1%)

series422.0ms (6.8%)

simplify87.0ms (1.4%)

prune155.0ms (2.5%)

localize17.0ms (0.3%)

rewrite55.0ms (0.9%)

series724.0ms (11.8%)

simplify99.0ms (1.6%)

prune153.0ms (2.5%)

localize17.0ms (0.3%)

rewrite44.0ms (0.7%)

series578.0ms (9.4%)

simplify51.0ms (0.8%)

prune131.0ms (2.1%)

localize6.0ms (0.1%)

rewrite14.0ms (0.2%)

series48.0ms (0.8%)

simplify76.0ms (1.2%)

prune34.0ms (0.6%)

regimes273.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (31.4%)

Profiling