Details

analyze819.0ms (17.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3763	60
1	3763	60
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
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	31×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	738	15
1	738	15

prune4.0ms (0.1%)

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 → 2

Compiler

Compiled 32 to 28 computations (12.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
3.4b	(*.f64 (/.f64 x y) z)

rewrite62.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64_100`
13×	`associate-l_binary64_19`
10×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `times-frac_binary64_84`
7×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
4×	`pow1_binary64_139` `add-log-exp_binary64_117`
3×	`associate-l/_binary64_21` `associate-r*_binary64_18`
2×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46`
1×	`pow-prod-down_binary64_149` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `div-inv_binary64_75` `*-commutative_binary64_9` `diff-log_binary64_170` `frac-sub_binary64_87` `sub-div_binary64_85` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`

Counts

2 → 46

Calls

2 calls:

9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
6.0ms	(*.f64 (/.f64 x y) z)

Compiler

Compiled 910 to 423 computations (53.5% saved)

series346.0ms (7.5%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

228.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
102.0ms	(*.f64 (/.f64 x y) z)

Compiler

Compiled 812 to 584 computations (28.1% saved)

simplify79.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4945	839
1	4945	839

prune58.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Error

0.0b

Counts

72 → 4

Compiler

Compiled 1116 to 543 computations (51.3% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite92.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2254 to 683 computations (69.7% saved)

series340.0ms (7.4%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

93.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
79.0ms	(cbrt.f64 x)
78.0ms	(cbrt.f64 x)
76.0ms	(cbrt.f64 x)

Compiler

Compiled 1023 to 631 computations (38.3% saved)

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune93.0ms (2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	85	4	89

Error

0.0b

Counts

89 → 4

Compiler

Compiled 2483 to 842 computations (66.1% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)

rewrite87.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`cbrt-prod_binary64_109`
11×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
9×	`unpow-prod-down_binary64_157`
5×	`pow1_binary64_139` `add-exp-log_binary64_116`
4×	`pow1/3_binary64_160` `add-log-exp_binary64_117` `add-cbrt-cube_binary64_114`
3×	`pow-unpow_binary64_155`
2×	`pow-pow_binary64_150`
1×	`pow-to-exp_binary64_147` `pow-exp_binary64_146` `sqr-pow_binary64_50`

Counts

4 → 57

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1997 to 755 computations (62.2% saved)

series413.0ms (9%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

170.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)
78.0ms	(cbrt.f64 x)
75.0ms	(cbrt.f64 x)
75.0ms	(cbrt.f64 x)

Compiler

Compiled 1179 to 753 computations (36.1% saved)

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4896	583
1	4896	583

prune91.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	69	4	73

Error

0.0b

Counts

73 → 4

Compiler

Compiled 2345 to 930 computations (60.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 x 4) (*.f64 x z))
1.7b	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite58.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
9×	`times-frac_binary64_84`
7×	`add-log-exp_binary64_117`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
3×	`associate-/l_binary64_23` `associate-/r_binary64_22`
2×	`pow1_binary64_139` `flip3--_binary64_82` `associate-/l/_binary64_25` `flip--_binary64_53` `diff-log_binary64_170`
1×	`div-exp_binary64_129` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `div-sub_binary64_83` `clear-num_binary64_77` `div-inv_binary64_75` `sum-log_binary64_169` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44` `associate--l+_binary64_15`

Counts

2 → 44

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
6.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))

Compiler

Compiled 863 to 467 computations (45.9% saved)

series241.0ms (5.3%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

157.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
68.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))

Compiler

Compiled 740 to 563 computations (23.9% saved)

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4960	1108
1	4960	1108

prune52.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	70	5	75

Error

Counts

75 → 5

Compiler

Compiled 1022 to 478 computations (53.2% saved)

regimes258.0ms (5.6%)

Accuracy

Total 0.6b remaining (98.8%)

Threshold costs 0.6b (98.8%)

Compiler

Compiled 2827 to 2021 computations (28.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	42
1	78	42

end0.0ms (0%)

sample1.2s (25.1%)

Algorithm

1×

intervals

Results

294.0ms	8000×	body	128	valid
51.0ms	1224×	body	128	invalid

Compiler

Compiled 594 to 423 computations (28.8% saved)

Details

analyze819.0ms (17.9%)

sample21.0ms (0.5%)

simplify55.0ms (1.2%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite62.0ms (1.3%)

series346.0ms (7.5%)

simplify79.0ms (1.7%)

prune58.0ms (1.3%)

localize17.0ms (0.4%)

rewrite92.0ms (2%)

series340.0ms (7.4%)

simplify74.0ms (1.6%)

prune93.0ms (2%)

localize21.0ms (0.5%)

rewrite87.0ms (1.9%)

series413.0ms (9%)

simplify73.0ms (1.6%)

prune91.0ms (2%)

localize7.0ms (0.2%)

rewrite58.0ms (1.3%)

series241.0ms (5.3%)

simplify62.0ms (1.4%)

prune52.0ms (1.1%)

regimes258.0ms (5.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (25.1%)

Profiling