Details

analyze893.0ms (14.7%)

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
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)

sample53.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms	33×	body	1024	valid
12.0ms	190×	body	128	valid
4.0ms	17×	body	512	valid
3.0ms	14×	body	512	invalid
3.0ms	9×	body	1024	invalid
2.0ms	16×	body	256	valid
2.0ms	35×	body	128	nan
1.0ms	19×	body	128	invalid
1.0ms	8×	body	256	invalid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify162.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

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

6.0b

Counts

2 → 1

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
0.0b	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
0.0b	(/.f64 y (+.f64 y z))
6.1b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite66.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_11678`
121×	`*-un-lft-identity_binary64_11672`
90×	`unpow-prod-down_binary64_11751`
81×	`add-cube-cbrt_binary64_11707` `add-sqr-sqrt_binary64_11694`
25×	`associate-/l*_binary64_11617`
20×	`distribute-lft-out_binary64_11623`
17×	`add-exp-log_binary64_11710`
12×	`associate-/r/_binary64_11618`
8×	`add-cbrt-cube_binary64_11708`
7×	`div-exp_binary64_11723` `associate-/r*_binary64_11616` `flip-+_binary64_11646` `flip3-+_binary64_11675` `div-inv_binary64_11669`
6×	`add-log-exp_binary64_11711`
5×	`pow1_binary64_11733` `sqr-pow_binary64_11644`
4×	`pow-exp_binary64_11740`
3×	`pow-unpow_binary64_11749`
2×	`cbrt-undiv_binary64_11706` `pow-to-exp_binary64_11741` `clear-num_binary64_11671` `frac-2neg_binary64_11683`
1×	`sum-log_binary64_11763` `+-commutative_binary64_11602` `pow-pow_binary64_11744`

Counts

4 → 184

Calls

4 calls:

22.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
11.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
7.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
5.0ms	(/.f64 y (+.f64 y z))

series417.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

168.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
131.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
91.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
28.0ms	(/.f64 y (+.f64 y z))

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4989	4340
1	4989	4340

prune162.0ms (2.7%)

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

0.3b

Counts

197 → 6

Compiler

Compiled 4063 to 905 computations (77.7% saved)

localize13.0ms (0.2%)

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)
5.8b	(cbrt.f64 (/.f64 y (+.f64 y z)))
5.8b	(cbrt.f64 (/.f64 y (+.f64 y z)))
5.8b	(cbrt.f64 (/.f64 y (+.f64 y z)))

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`cbrt-prod_binary64_11703`
47×	`*-un-lft-identity_binary64_11672`
36×	`times-frac_binary64_11678`
29×	`add-cube-cbrt_binary64_11707` `add-sqr-sqrt_binary64_11694`
12×	`pow1_binary64_11733`
9×	`pow-pow_binary64_11744` `pow1/3_binary64_11754` `distribute-lft-out_binary64_11623`
7×	`add-exp-log_binary64_11710`
6×	`associate-/r/_binary64_11618`
4×	`add-log-exp_binary64_11711` `add-cbrt-cube_binary64_11708`
3×	`flip-+_binary64_11646` `flip3-+_binary64_11675` `cbrt-div_binary64_11704` `div-inv_binary64_11669` `pow-unpow_binary64_11749`
2×	`pow-sqr_binary64_11645` `pow-exp_binary64_11740` `pow-prod-up_binary64_11742` `pow-prod-down_binary64_11743`
1×	`pow-to-exp_binary64_11741` `sqr-pow_binary64_11644` `pow2_binary64_11753` `unpow-prod-down_binary64_11751` `prod-exp_binary64_11721` `pow-plus_binary64_11735`

Counts

4 → 105

Calls

4 calls:

17.0ms	(pow.f64 (*.f64 (cbrt.f64 (/.f64 y (+.f64 y z))) (cbrt.f64 (/.f64 y (+.f64 y z)))) y)
5.0ms	(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)))

series565.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

254.0ms	(pow.f64 (*.f64 (cbrt.f64 (/.f64 y (+.f64 y z))) (cbrt.f64 (/.f64 y (+.f64 y z)))) y)
112.0ms	(cbrt.f64 (/.f64 y (+.f64 y z)))
106.0ms	(cbrt.f64 (/.f64 y (+.f64 y z)))
93.0ms	(cbrt.f64 (/.f64 y (+.f64 y z)))

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4969	2013
1	4969	2013

prune116.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	117	6	123

Error

0.3b

Counts

123 → 6

Compiler

Compiled 3971 to 678 computations (82.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (log.f64 (exp.f64 (pow.f64 (/.f64 y (+.f64 y z)) y))) y)
0.0b	(/.f64 y (+.f64 y z))
0.3b	(log.f64 (exp.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)))
6.1b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite61.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64_11678`
143×	`*-un-lft-identity_binary64_11672`
115×	`log-pow_binary64_11761`
110×	`exp-prod_binary64_11724`
108×	`unpow-prod-down_binary64_11751`
99×	`add-cube-cbrt_binary64_11707` `add-sqr-sqrt_binary64_11694`
29×	`associate-/l*_binary64_11617`
22×	`distribute-lft-out_binary64_11623`
14×	`associate-/r/_binary64_11618`
11×	`add-exp-log_binary64_11710`
10×	`pow1_binary64_11733`
8×	`div-inv_binary64_11669` `add-cbrt-cube_binary64_11708`
7×	`associate-/r*_binary64_11616` `flip-+_binary64_11646` `flip3-+_binary64_11675`
6×	`sqr-pow_binary64_11644`
4×	`add-log-exp_binary64_11711`
3×	`div-exp_binary64_11723` `pow-unpow_binary64_11749` `log-prod_binary64_11758`
2×	`pow-exp_binary64_11740` `cbrt-undiv_binary64_11706` `clear-num_binary64_11671` `frac-2neg_binary64_11683`
1×	`pow-to-exp_binary64_11741` `pow-pow_binary64_11744` `rem-log-exp_binary64_11713`

Counts

4 → 219

Calls

4 calls:

16.0ms	(/.f64 (log.f64 (exp.f64 (pow.f64 (/.f64 y (+.f64 y z)) y))) y)
9.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)))
7.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
5.0ms	(/.f64 y (+.f64 y z))

series680.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

278.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)))
200.0ms	(/.f64 (log.f64 (exp.f64 (pow.f64 (/.f64 y (+.f64 y z)) y))) y)
177.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
25.0ms	(/.f64 y (+.f64 y z))

simplify117.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5060	4921

prune164.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	231	6	237

Error

0.3b

Counts

237 → 6

Compiler

Compiled 4938 to 1113 computations (77.5% 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_11672`
10×	`add-cube-cbrt_binary64_11707` `add-sqr-sqrt_binary64_11694`
9×	`times-frac_binary64_11678`
4×	`add-log-exp_binary64_11711` `add-cbrt-cube_binary64_11708`
3×	`associate-/r_binary64_11616` `add-exp-log_binary64_11710` `associate-/l_binary64_11617`
2×	`pow1_binary64_11733` `associate-/l/_binary64_11619`
1×	`exp-diff_binary64_11720` `cbrt-undiv_binary64_11706` `div-exp_binary64_11723` `clear-num_binary64_11671` `sum-log_binary64_11763` `flip-+_binary64_11646` `flip3-+_binary64_11675` `+-commutative_binary64_11602` `frac-2neg_binary64_11683` `div-inv_binary64_11669` `distribute-lft-out_binary64_11623` `exp-neg_binary64_11719` `neg-sub0_binary64_11667`

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)

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5446	664

prune30.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Error

0.2b

Counts

53 → 6

Compiler

Compiled 577 to 162 computations (71.9% saved)

regimes248.0ms (4.1%)

Accuracy

Total 1.8b remaining (81.9%)

Threshold costs 0b (0%)

Compiler

Compiled 2625 to 1617 computations (38.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	49
1	19	49

end0.0ms (0%)

sample2.0s (32.5%)

Algorithm

1×

intervals

Results

420.0ms	6146×	body	128	valid
369.0ms	958×	body	1024	valid
137.0ms	565×	body	512	valid
68.0ms	188×	body	1024	invalid
55.0ms	233×	body	512	invalid
50.0ms	1051×	body	128	nan
49.0ms	328×	body	256	valid
28.0ms	444×	body	128	invalid
22.0ms	151×	body	256	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 581 to 355 computations (38.9% saved)

Details

analyze893.0ms (14.7%)

sample53.0ms (0.9%)

simplify162.0ms (2.7%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite66.0ms (1.1%)

series417.0ms (6.9%)

simplify88.0ms (1.4%)

prune162.0ms (2.7%)

localize13.0ms (0.2%)

rewrite43.0ms (0.7%)

series565.0ms (9.3%)

simplify55.0ms (0.9%)

prune116.0ms (1.9%)

localize11.0ms (0.2%)

rewrite61.0ms (1%)

series680.0ms (11.2%)

simplify117.0ms (1.9%)

prune164.0ms (2.7%)

localize6.0ms (0.1%)

rewrite14.0ms (0.2%)

series48.0ms (0.8%)

simplify78.0ms (1.3%)

prune30.0ms (0.5%)

regimes248.0ms (4.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (32.5%)

Profiling