Details

analyze858.0ms (13.3%)

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)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
2.0ms	49×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

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

0.1b

Counts

2 → 2

Compiler

Compiled 32 to 28 computations (12.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
3.8b	(*.f64 (/.f64 x y) z)

rewrite143.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`*-un-lft-identity_binary64_78`
25×	`add-sqr-sqrt_binary64_100`
22×	`times-frac_binary64_84`
20×	`add-cube-cbrt_binary64_113`
13×	`associate-l_binary64_19`
10×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
5×	`pow1_binary64_139` `add-log-exp_binary64_117`
4×	`distribute-lft-out_binary64_29` `associate-/l*_binary64_23`
3×	`associate-l/_binary64_21` `associate-r_binary64_18` `associate-/r_binary64_22`
2×	`div-exp_binary64_129` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `unswap-sqr_binary64_46` `div-inv_binary64_75` `associate-/l/_binary64_25`
1×	`pow-prod-down_binary64_149` `*-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` `frac-2neg_binary64_89` `clear-num_binary64_77` `flip3-+_binary64_81` `flip-+_binary64_52`

Counts

3 → 79

Calls

3 calls:

9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)
6.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1434 to 693 computations (51.7% saved)

series640.0ms (9.9%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

374.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
152.0ms	(*.f64 (/.f64 x y) z)
97.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 896 to 689 computations (23.1% saved)

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5171	1334

prune111.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	106	6	112
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	106	8	114

Error

0.0b

Counts

114 → 8

Compiler

Compiled 1363 to 694 computations (49.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 x 4) (*.f64 x z))
2.6b	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite85.0ms (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:

8.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
6.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))

Compiler

Compiled 851 to 460 computations (45.9% saved)

series361.0ms (5.6%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

250.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
98.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))

Compiler

Compiled 572 to 481 computations (15.9% saved)

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4960	1108
1	4960	1108

prune74.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	70	9	79

Error

Counts

79 → 9

Compiler

Compiled 877 to 463 computations (47.2% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.0b	(*.f64 z (/.f64 (cbrt.f64 x) y))
5.1b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))

rewrite237.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`add-exp-log_binary64_116`
35×	`add-cbrt-cube_binary64_114`
33×	`prod-exp_binary64_127`
30×	`add-sqr-sqrt_binary64_100`
23×	`times-frac_binary64_84` `associate-r_binary64_18`
22×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
20×	`cbrt-unprod_binary64_111`
18×	`div-exp_binary64_129`
16×	`cbrt-prod_binary64_109`
11×	`pow1_binary64_139`
10×	`cbrt-undiv_binary64_112` `associate-l_binary64_19`
6×	`1-exp_binary64_122`
4×	`pow-prod-down_binary64_149` `add-log-exp_binary64_117` `associate-*r/_binary64_20`
3×	`unswap-sqr_binary64_46`
2×	`div-inv_binary64_75` `*-commutative_binary64_9` `pow1/3_binary64_160`
1×	`frac-times_binary64_88` `associate-*l/_binary64_21`

Counts

4 → 109

Calls

4 calls:

14.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))
10.0ms	(*.f64 z (/.f64 (cbrt.f64 x) y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 3022 to 1200 computations (60.3% saved)

series884.0ms (13.7%)

Error

Counts

4 → 24

Calls

4 calls:

465.0ms	(*.f64 z (/.f64 (cbrt.f64 x) y))
189.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))
114.0ms	(cbrt.f64 x)
101.0ms	(cbrt.f64 x)

Compiler

Compiled 1098 to 847 computations (22.9% saved)

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4944	1267
1	4944	1267

prune154.0ms (2.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	133	9	142

Error

Counts

142 → 9

Compiler

Compiled 2097 to 952 computations (54.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
7.4b	(*.f64 x (/.f64 z y))

rewrite146.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`*-un-lft-identity_binary64_78`
25×	`add-sqr-sqrt_binary64_100`
22×	`times-frac_binary64_84`
20×	`add-cube-cbrt_binary64_113`
13×	`associate-r_binary64_18`
10×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
5×	`pow1_binary64_139` `add-log-exp_binary64_117`
4×	`distribute-lft-out_binary64_29` `associate-/l*_binary64_23`
3×	`associate-r/_binary64_20` `associate-l_binary64_19` `associate-/r_binary64_22`
2×	`div-exp_binary64_129` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `unswap-sqr_binary64_46` `div-inv_binary64_75` `associate-/l/_binary64_25`
1×	`pow-prod-down_binary64_149` `*-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` `frac-2neg_binary64_89` `clear-num_binary64_77` `flip3-+_binary64_81` `flip-+_binary64_52`

Counts

3 → 79

Calls

3 calls:

9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
7.0ms	(*.f64 x (/.f64 z y))
5.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1434 to 693 computations (51.7% saved)

series620.0ms (9.6%)

Error

Counts

3 → 33

Calls

3 calls:

359.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
148.0ms	(*.f64 x (/.f64 z y))
92.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 896 to 697 computations (22.2% saved)

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5547	1346

prune102.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	2	3	5
Picked	0	1	1
Done	1	2	3
Total	113	8	121

Error

Counts

121 → 8

Compiler

Compiled 1241 to 596 computations (52% saved)

regimes767.0ms (11.9%)

Accuracy

Total 0.1b remaining (83.8%)

Threshold costs 0.1b (83.8%)

Compiler

Compiled 5423 to 4093 computations (24.5% saved)

bsearch21.0ms (0.3%)

Steps

Iters	Range		Point
2	1.506004878576395e-10	2.781631892613756e-10	2.2927280930762683e-10
3	-5970482137880144.0	-787501.802519845	-344174721191547.56

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	47
1	73	47

end2.0ms (0%)

Compiler: Compiled 31 to 23 computations (25.8% saved)

sample830.0ms (12.9%)

Algorithm

1×

intervals

Results

310.0ms	8000×	body	128	valid
46.0ms	1164×	body	128	invalid

Compiler

Compiled 150 to 135 computations (10% saved)

Details

analyze858.0ms (13.3%)

sample25.0ms (0.4%)

simplify52.0ms (0.8%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite143.0ms (2.2%)

series640.0ms (9.9%)

simplify67.0ms (1%)

prune111.0ms (1.7%)

localize7.0ms (0.1%)

rewrite85.0ms (1.3%)

series361.0ms (5.6%)

simplify60.0ms (0.9%)

prune74.0ms (1.2%)

localize17.0ms (0.3%)

rewrite237.0ms (3.7%)

series884.0ms (13.7%)

simplify91.0ms (1.4%)

prune154.0ms (2.4%)

localize8.0ms (0.1%)

rewrite146.0ms (2.3%)

series620.0ms (9.6%)

simplify66.0ms (1%)

prune102.0ms (1.6%)

regimes767.0ms (11.9%)

bsearch21.0ms (0.3%)

simplify3.0ms (0%)

end2.0ms (0%)

sample830.0ms (12.9%)

Profiling