Details

analyze901.0ms (13.4%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5176	52
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	6
14%	85.8%	0.1%	7
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14
62.1%	27.2%	10.6%	14

Compiler

Compiled 20 to 18 computations (10% saved)

sample545.0ms (8.1%)

Algorithm

2×

intervals

Results

15.0ms	512×	body	128	valid
8.0ms	135×	body	128	invalid

Compiler

Compiled 3319 to 3980 computations (-19.9% saved)

simplify362.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (357.0ms)

Iter	Nodes	Cost
0	5152	13

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

11.7b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
10.9b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite72.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`*-un-lft-identity_binary64_17469`
9×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
8×	`add-sqr-sqrt_binary64_17491`
6×	`add-cube-cbrt_binary64_17504`
5×	`associate-r_binary64_17409`
4×	`pow1_binary64_17530` `associate-*r/_binary64_17411`
3×	`times-frac_binary64_17475` `associate-/r_binary64_17413` `associate-l*_binary64_17410`
2×	`prod-exp_binary64_17518` `div-exp_binary64_17520` `add-log-exp_binary64_17508` `cbrt-undiv_binary64_17503` `cbrt-unprod_binary64_17502` `flip3-+_binary64_17472` `associate-/l/_binary64_17416` `flip-+_binary64_17443` `distribute-lft-out_binary64_17420`
1×	`frac-2neg_binary64_17480` `clear-num_binary64_17468` `div-inv_binary64_17466` `associate-/l_binary64_17414` `pow-prod-down_binary64_17540` `unswap-sqr_binary64_17437` `distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418` `distribute-lft-out--_binary64_17421` `-commutative_binary64_17400`

Counts

2 → 47

Calls

2 calls:

10.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
9.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

Compiler

Compiled 770 to 389 computations (49.5% saved)

series429.0ms (6.4%)

Error

2.5b

Counts

2 → 30

Calls

2 calls:

265.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
146.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

Compiler

Compiled 694 to 431 computations (37.9% saved)

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5150	929

prune64.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	5	78

Error

Counts

78 → 5

Compiler

Compiled 941 to 484 computations (48.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite77.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_17491`
14×	`*-un-lft-identity_binary64_17469`
13×	`associate-l_binary64_17410`
12×	`add-cube-cbrt_binary64_17504`
10×	`add-log-exp_binary64_17508` `times-frac_binary64_17475`
8×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
5×	`pow1_binary64_17530`
3×	`associate-r_binary64_17409` `cancel-sign-sub-inv_binary64_17435`
2×	`prod-exp_binary64_17518` `cbrt-unprod_binary64_17502` `unswap-sqr_binary64_17437` `associate-*l/_binary64_17412` `sum-log_binary64_17560` `diff-log_binary64_17561`
1×	`pow-prod-down_binary64_17540` `div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `div-inv_binary64_17466` `*-commutative_binary64_17400` `frac-add_binary64_17477` `flip3-+_binary64_17472` `flip-+_binary64_17443` `+-commutative_binary64_17399` `flip3--_binary64_17473` `sub-neg_binary64_17462` `flip--_binary64_17444` `difference-of-squares_binary64_17438` `distribute-lft-out--_binary64_17421` `associate--l+_binary64_17406`

Counts

3 → 62

Calls

3 calls:

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

Compiler

Compiled 1200 to 286 computations (76.2% saved)

series615.0ms (9.1%)

Error

Counts

3 → 36

Calls

3 calls:

242.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
200.0ms	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
154.0ms	(*.f64 (/.f64 x z) y)

Compiler

Compiled 973 to 552 computations (43.3% saved)

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4979	1145
1	4979	1145

prune72.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Error

Counts

103 → 5

Compiler

Compiled 1353 to 464 computations (65.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 y 1) z) z)
2.5b	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))

rewrite110.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

59×	`*-un-lft-identity_binary64_17469`
43×	`add-sqr-sqrt_binary64_17491`
37×	`times-frac_binary64_17475`
24×	`add-cube-cbrt_binary64_17504`
22×	`associate-r_binary64_17409`
14×	`distribute-lft-out--_binary64_17421`
9×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
7×	`difference-of-squares_binary64_17438` `distribute-lft-out_binary64_17420`
6×	`associate-/l*_binary64_17414`
4×	`pow1_binary64_17530`
3×	`associate-l_binary64_17410` `associate-/r*_binary64_17413`
2×	`div-exp_binary64_17520` `prod-exp_binary64_17518` `add-log-exp_binary64_17508` `cbrt-unprod_binary64_17502` `cbrt-undiv_binary64_17503` `unswap-sqr_binary64_17437` `div-inv_binary64_17466` `associate-/l/_binary64_17416`
1×	`pow-prod-down_binary64_17540` `associate-r/_binary64_17411` `-commutative_binary64_17400` `frac-2neg_binary64_17480` `div-sub_binary64_17474` `clear-num_binary64_17468` `flip3--_binary64_17473` `flip--_binary64_17444`

Counts

2 → 83

Calls

2 calls:

13.0ms	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))
9.0ms	(/.f64 (-.f64 (+.f64 y 1) z) z)

Compiler

Compiled 1496 to 878 computations (41.3% saved)

series395.0ms (5.9%)

Error

Counts

2 → 27

Calls

2 calls:

249.0ms	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))
128.0ms	(/.f64 (-.f64 (+.f64 y 1) z) z)

Compiler

Compiled 597 to 417 computations (30.2% saved)

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5174	1620

prune95.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	110	5	115

Error

Counts

115 → 5

Compiler

Compiled 1585 to 928 computations (41.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (-.f64 (+.f64 y 1) z))
0.2b	(/.f64 1 (/.f64 z (*.f64 x (-.f64 (+.f64 y 1) z))))
10.9b	(/.f64 z (*.f64 x (-.f64 (+.f64 y 1) z)))

rewrite175.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`times-frac_binary64_17475`
32×	`*-un-lft-identity_binary64_17469`
31×	`add-exp-log_binary64_17507` `add-sqr-sqrt_binary64_17491`
27×	`add-cube-cbrt_binary64_17504`
19×	`add-cbrt-cube_binary64_17505`
14×	`div-exp_binary64_17520`
12×	`associate-*r/_binary64_17411`
11×	`associate-/r/_binary64_17415`
10×	`associate-/r*_binary64_17413`
7×	`cbrt-undiv_binary64_17503`
6×	`pow1_binary64_17530` `div-inv_binary64_17466` `flip3--_binary64_17473` `flip--_binary64_17444` `associate-/l_binary64_17414` `cancel-sign-sub-inv_binary64_17435` `associate-r*_binary64_17409`
5×	`prod-exp_binary64_17518` `distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418`
3×	`add-log-exp_binary64_17508` `cbrt-unprod_binary64_17502` `1-exp_binary64_17513` `rec-exp_binary64_17519` `associate-l_binary64_17410`
2×	`frac-2neg_binary64_17480` `clear-num_binary64_17468` `sub-neg_binary64_17462` `associate--l+_binary64_17406` `distribute-lft-out--_binary64_17421`
1×	`inv-pow_binary64_17554` `pow-flip_binary64_17543` `pow-prod-down_binary64_17540` `unswap-sqr_binary64_17437` `difference-of-squares_binary64_17438` `distribute-lft-out_binary64_17420` `*-commutative_binary64_17400`

Counts

3 → 120

Calls

3 calls:

12.0ms	(/.f64 1 (/.f64 z (*.f64 x (-.f64 (+.f64 y 1) z))))
9.0ms	(*.f64 x (-.f64 (+.f64 y 1) z))
9.0ms	(/.f64 z (*.f64 x (-.f64 (+.f64 y 1) z)))

Compiler

Compiled 2384 to 1551 computations (34.9% saved)

series752.0ms (11.2%)

Error

Counts

3 → 53

Calls

3 calls:

284.0ms	(/.f64 z (*.f64 x (-.f64 (+.f64 y 1) z)))
262.0ms	(/.f64 1 (/.f64 z (*.f64 x (-.f64 (+.f64 y 1) z))))
160.0ms	(*.f64 x (-.f64 (+.f64 y 1) z))

Compiler

Compiled 2235 to 1566 computations (29.9% saved)

simplify91.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4976	3294
1	4976	3294

prune163.0ms (2.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	173	5	178

Error

Counts

178 → 5

Compiler

Compiled 2915 to 1670 computations (42.7% saved)

regimes342.0ms (5.1%)

Accuracy

Total 0.2b remaining (99.4%)

Threshold costs 0.2b (99.4%)

Compiler

Compiled 2154 to 1713 computations (20.5% saved)

bsearch42.0ms (0.6%)

Steps

Iters	Range		Point
9	9.976269522589119e-149	9.405349240499099e-144	2.1166881564908545e-144
8	-8.694159382659783e-113	-1.0828007505706737e-116	-3.457765127989297e-113

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	45	43
1	45	43

end0.0ms (0%)

sample1.2s (18.2%)

Algorithm

1×

intervals

Results

253.0ms	8000×	body	128	valid
61.0ms	2132×	body	128	invalid

Compiler

Compiled 581 to 456 computations (21.5% saved)

Details

analyze901.0ms (13.4%)

sample545.0ms (8.1%)

simplify362.0ms (5.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite72.0ms (1.1%)

series429.0ms (6.4%)

simplify53.0ms (0.8%)

prune64.0ms (0.9%)

localize8.0ms (0.1%)

rewrite77.0ms (1.1%)

series615.0ms (9.1%)

simplify67.0ms (1%)

prune72.0ms (1.1%)

localize6.0ms (0.1%)

rewrite110.0ms (1.6%)

series395.0ms (5.9%)

simplify52.0ms (0.8%)

prune95.0ms (1.4%)

localize10.0ms (0.1%)

rewrite175.0ms (2.6%)

series752.0ms (11.2%)

simplify91.0ms (1.3%)

prune163.0ms (2.4%)

regimes342.0ms (5.1%)

bsearch42.0ms (0.6%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (18.2%)

Profiling