Details

analyze539.0ms (9.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1691	40
1	1691	40
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
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	62×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify24.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	357	10
1	357	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 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 (-.f64 y x) z))

rewrite53.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`*-un-lft-identity_binary64_78`
20×	`add-sqr-sqrt_binary64_100`
15×	`times-frac_binary64_84`
12×	`add-cube-cbrt_binary64_113`
5×	`associate-/l*_binary64_23`
4×	`add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30`
3×	`associate-/r*_binary64_22`
2×	`pow1_binary64_139` `div-sub_binary64_83` `associate-/l/_binary64_25`
1×	`sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `associate-+r-_binary64_12` `+-commutative_binary64_8` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `flip3--_binary64_82` `flip--_binary64_53`

Counts

2 → 51

Calls

2 calls:

9.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
6.0ms	(/.f64 (-.f64 y x) z)

Compiler

Compiled 748 to 211 computations (71.8% saved)

series279.0ms (4.8%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

151.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
112.0ms	(/.f64 (-.f64 y x) z)

Compiler

Compiled 620 to 372 computations (40% saved)

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5014	953

prune49.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	3	85

Error

0.0b

Counts

85 → 3

Compiler

Compiled 912 to 209 computations (77.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))
0.3b	(*.f64 (-.f64 y x) (/.f64 1 z))

rewrite56.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-sqr-sqrt_binary64_100`
13×	`-un-lft-identity_binary64_78` `associate-r*_binary64_18`
11×	`add-exp-log_binary64_116` `times-frac_binary64_84`
10×	`add-cube-cbrt_binary64_113`
7×	`add-cbrt-cube_binary64_114`
5×	`associate-l_binary64_19`
4×	`pow1_binary64_139` `prod-exp_binary64_127` `add-log-exp_binary64_117`
3×	`unswap-sqr_binary64_46`
2×	`div-exp_binary64_129` `cbrt-unprod_binary64_111` `flip3--_binary64_82` `frac-times_binary64_88` `flip--_binary64_53` `associate-*l/_binary64_21`
1×	`pow-prod-down_binary64_149` `1-exp_binary64_122` `rec-exp_binary64_128` `cbrt-undiv_binary64_112` `un-div-inv_binary64_76` `associate-r/_binary64_20` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30` `div-inv_binary64_75` `-commutative_binary64_9` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

2 → 53

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 1 z))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))

Compiler

Compiled 912 to 465 computations (49% saved)

series267.0ms (4.6%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

141.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))
113.0ms	(*.f64 (-.f64 y x) (/.f64 1 z))

Compiler

Compiled 620 to 372 computations (40% saved)

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5457	886

prune44.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Error

0.0b

Counts

89 → 3

Compiler

Compiled 934 to 273 computations (70.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
3.4b	(cbrt.f64 (/.f64 (-.f64 y x) z))
3.4b	(cbrt.f64 (/.f64 (-.f64 y x) z))
3.4b	(cbrt.f64 (/.f64 (-.f64 y x) z))

rewrite223.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

157×	`cbrt-prod_binary64_109`
141×	`add-sqr-sqrt_binary64_100`
135×	`*-un-lft-identity_binary64_78`
123×	`times-frac_binary64_84`
75×	`add-cube-cbrt_binary64_113`
28×	`swap-sqr_binary64_45`
27×	`distribute-lft-out--_binary64_30`
22×	`associate-l_binary64_19` `associate-r_binary64_18`
21×	`difference-of-squares_binary64_47`
11×	`pow1_binary64_139`
9×	`pow1/3_binary64_160` `unswap-sqr_binary64_46`
7×	`cbrt-div_binary64_110` `div-inv_binary64_75`
6×	`add-exp-log_binary64_116`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114`
2×	`pow-prod-down_binary64_149` `pow-prod-up_binary64_148` `pow-sqr_binary64_51`
1×	`pow2_binary64_159` `pow-plus_binary64_141` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-times_binary64_88` `associate-l/_binary64_21` `associate-r/_binary64_20` `*-commutative_binary64_9`

Counts

4 → 186

Calls

4 calls:

22.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
7.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))
5.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))
5.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))

Compiler

Compiled 6075 to 1028 computations (83.1% saved)

series1.3s (22.3%)

Error

0.0b

Counts

4 → 64

Calls

4 calls:

371.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
287.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))
268.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))
264.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))

Compiler

Compiled 6653 to 4540 computations (31.8% saved)

simplify103.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

250 → 250

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4968	6214
1	4968	6214

prune249.0ms (4.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	249	1	250
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	251	2	253

Error

Counts

253 → 2

Compiler

Compiled 7768 to 1742 computations (77.6% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 y x))
1.9b	(cbrt.f64 (/.f64 (cbrt.f64 (-.f64 y x)) z))
3.4b	(cbrt.f64 (/.f64 (-.f64 y x) z))
3.4b	(cbrt.f64 (/.f64 (-.f64 y x) z))

rewrite147.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

86×	`cbrt-prod_binary64_109`
58×	`add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
54×	`times-frac_binary64_84`
38×	`add-cube-cbrt_binary64_113`
10×	`difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30`
5×	`cbrt-div_binary64_110`
4×	`pow1/3_binary64_160` `pow1_binary64_139` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
3×	`div-inv_binary64_75`
1×	`flip3--_binary64_82` `flip--_binary64_53`

Counts

4 → 108

Calls

4 calls:

6.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))
6.0ms	(cbrt.f64 (/.f64 (cbrt.f64 (-.f64 y x)) z))
5.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))
3.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 4656 to 721 computations (84.5% saved)

series1.0s (17.6%)

Error

Counts

4 → 51

Calls

4 calls:

293.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))
271.0ms	(cbrt.f64 (/.f64 (cbrt.f64 (-.f64 y x)) z))
268.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))
103.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 6581 to 3635 computations (44.8% saved)

simplify155.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4919	3059
1	4919	3059

prune164.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	159	2	161

Error

Counts

161 → 2

Compiler

Compiled 6574 to 1019 computations (84.5% saved)

regimes128.0ms (2.2%)

Accuracy

Total 0.0b remaining (77.4%)

Threshold costs 0.0b (77.4%)

Compiler

Compiled 1120 to 714 computations (36.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample787.0ms (13.7%)

Algorithm

1×

intervals

Results

206.0ms	8000×	body	128	valid
32.0ms	1379×	body	128	invalid

Compiler

Compiled 290 to 187 computations (35.5% saved)

Details

analyze539.0ms (9.4%)

sample19.0ms (0.3%)

simplify24.0ms (0.4%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite53.0ms (0.9%)

series279.0ms (4.8%)

simplify61.0ms (1.1%)

prune49.0ms (0.9%)

localize6.0ms (0.1%)

rewrite56.0ms (1%)

series267.0ms (4.6%)

simplify72.0ms (1.2%)

prune44.0ms (0.8%)

localize9.0ms (0.2%)

rewrite223.0ms (3.9%)

series1.3s (22.3%)

simplify103.0ms (1.8%)

prune249.0ms (4.3%)

localize17.0ms (0.3%)

rewrite147.0ms (2.6%)

series1.0s (17.6%)

simplify155.0ms (2.7%)

prune164.0ms (2.8%)

regimes128.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample787.0ms (13.7%)

Profiling