Details

analyze550.0ms (13.1%)

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)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	42×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify24.0ms (0.6%)

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))

rewrite55.0ms (1.3%)

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:

10.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
6.0ms	(/.f64 (-.f64 y x) z)

Compiler

Compiled 748 to 211 computations (71.8% saved)

series287.0ms (6.8%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

157.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
113.0ms	(/.f64 (-.f64 y x) z)

Compiler

Compiled 620 to 372 computations (40% saved)

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5014	953

prune49.0ms (1.2%)

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 906 to 211 computations (76.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))
0.2b	(*.f64 (-.f64 y x) (/.f64 1 z))

rewrite60.0ms (1.4%)

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:

12.0ms	(*.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)

series285.0ms (6.8%)

Error

Counts

2 → 33

Calls

2 calls:

158.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))
112.0ms	(*.f64 (-.f64 y x) (/.f64 1 z))

Compiler

Compiled 620 to 372 computations (40% saved)

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5457	886

prune46.0ms (1.1%)

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 928 to 275 computations (70.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite71.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_109`
23×	`add-sqr-sqrt_binary64_100`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`pow1_binary64_139`
9×	`pow1/3_binary64_160`
6×	`add-exp-log_binary64_116` `swap-sqr_binary64_45` `associate-l_binary64_19` `associate-r_binary64_18`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `unswap-sqr_binary64_46`
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` `*-commutative_binary64_9`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1524 to 466 computations (69.4% saved)

series315.0ms (7.5%)

Error

Counts

4 → 12

Calls

4 calls:

91.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
74.0ms	(cbrt.f64 z)
73.0ms	(cbrt.f64 z)
67.0ms	(cbrt.f64 z)

Compiler

Compiled 663 to 472 computations (28.8% saved)

simplify75.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune66.0ms (1.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Error

Counts

88 → 4

Compiler

Compiled 1589 to 582 computations (63.4% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (/.f64 1 (pow.f64 (.f64 z z) 1/3)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
0.3b	(/.f64 (-.f64 y x) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
30.5b	(pow.f64 (*.f64 z z) 1/3)

rewrite267.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

130×	`add-sqr-sqrt_binary64_100`
107×	`times-frac_binary64_84`
86×	`*-un-lft-identity_binary64_78`
82×	`add-exp-log_binary64_116`
51×	`add-cube-cbrt_binary64_113`
43×	`cbrt-prod_binary64_109`
34×	`associate-r_binary64_18`
33×	`prod-exp_binary64_127`
30×	`div-exp_binary64_129`
21×	`unswap-sqr_binary64_46`
19×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19`
14×	`pow1_binary64_139` `pow-exp_binary64_146`
13×	`difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30`
10×	`unpow-prod-down_binary64_157` `sqr-pow_binary64_50`
8×	`cbrt-undiv_binary64_112` `1-exp_binary64_122` `rec-exp_binary64_128`
7×	`pow-to-exp_binary64_147`
6×	`pow-pow_binary64_150` `associate-/r*_binary64_22` `cbrt-unprod_binary64_111`
5×	`associate-/l*_binary64_23`
4×	`add-log-exp_binary64_117`
3×	`pow-unpow_binary64_155` `unpow1/3_binary64_145` `div-inv_binary64_75`
2×	`pow-prod-down_binary64_149` `associate-/l/_binary64_25`
1×	`pow2_binary64_159` `pow-prod-up_binary64_148` `pow-plus_binary64_141` `pow-sqr_binary64_51` `pow1/3_binary64_160` `frac-2neg_binary64_89` `div-sub_binary64_83` `clear-num_binary64_77` `flip3--_binary64_82` `flip--_binary64_53` `frac-times_binary64_88` `associate-l/_binary64_21` `associate-r/_binary64_20` `*-commutative_binary64_9`

Counts

4 → 207

Calls

4 calls:

30.0ms	(.f64 (/.f64 1 (pow.f64 (.f64 z z) 1/3)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
7.0ms	(/.f64 (-.f64 y x) (cbrt.f64 z))
4.0ms	(pow.f64 (*.f64 z z) 1/3)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 5250 to 2109 computations (59.8% saved)

series656.0ms (15.6%)

Error

Counts

4 → 36

Calls

4 calls:

359.0ms	(/.f64 (-.f64 y x) (cbrt.f64 z))
120.0ms	(.f64 (/.f64 1 (pow.f64 (.f64 z z) 1/3)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
76.0ms	(pow.f64 (*.f64 z z) 1/3)
76.0ms	(cbrt.f64 z)

Compiler

Compiled 1470 to 1090 computations (25.9% saved)

simplify104.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4997	3684
1	4997	3684

prune198.0ms (4.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	243	4	247

Error

Counts

247 → 4

Compiler

Compiled 4603 to 1694 computations (63.2% saved)

regimes121.0ms (2.9%)

Accuracy

Total 0.0b remaining (75.5%)

Threshold costs 0.0b (75.5%)

Compiler

Compiled 880 to 686 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13

end0.0ms (0%)

sample782.0ms (18.6%)

Algorithm

1×

intervals

Results

201.0ms	8000×	body	128	valid
36.0ms	1338×	body	128	invalid

Compiler

Compiled 232 to 181 computations (22% saved)

Details

analyze550.0ms (13.1%)

sample18.0ms (0.4%)

simplify24.0ms (0.6%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite55.0ms (1.3%)

series287.0ms (6.8%)

simplify63.0ms (1.5%)

prune49.0ms (1.2%)

localize6.0ms (0.1%)

rewrite60.0ms (1.4%)

series285.0ms (6.8%)

simplify70.0ms (1.7%)

prune46.0ms (1.1%)

localize10.0ms (0.2%)

rewrite71.0ms (1.7%)

series315.0ms (7.5%)

simplify75.0ms (1.8%)

prune66.0ms (1.6%)

localize16.0ms (0.4%)

rewrite267.0ms (6.4%)

series656.0ms (15.6%)

simplify104.0ms (2.5%)

prune198.0ms (4.7%)

regimes121.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample782.0ms (18.6%)

Profiling