Details

analyze654.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	76×	body	80	invalid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune3.0ms

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

Merged error: 1.9b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

6.8b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
3×	`pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `-commutative_binary64`

Counts

1 → 38

Calls

1 calls:

10.0ms

(*.f64 (-.f64 y x) (/.f64 z t))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(*.f64 (-.f64 y x) (/.f64 z t))

simplify44.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5891	376

prune49.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	33	8	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	9	42

Merged error: 0.0b

Counts

42 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

6.8b	(*.f64 (-.f64 y x) (/.f64 z t))
7.1b	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
7.1b	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
7.1b	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
15×	`cbrt-div_binary64`
14×	`*-un-lft-identity_binary64`
13×	`associate-r_binary64`
12×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
6×	`pow1_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow1/3_binary64` `cbrt-prod_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
7.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
7.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
9.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
44.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
46.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
43.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5397	1051

prune62.0ms

Filtered

77 candidates to 92 candidates (-19.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

1.4b	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
12.4b	(cbrt.f64 (/.f64 z t))
12.4b	(cbrt.f64 (/.f64 z t))
12.4b	(cbrt.f64 (/.f64 z t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
29×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
15×	`cbrt-div_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `frac-times_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-*r/_binary64`
5×	`associate-l_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `prod-exp_binary64` `div-inv_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

14.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
2.0ms	(cbrt.f64 (/.f64 z t))
2.0ms	(cbrt.f64 (/.f64 z t))
3.0ms	(cbrt.f64 (/.f64 z t))

series88.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
12.0ms	(cbrt.f64 (/.f64 z t))
12.0ms	(cbrt.f64 (/.f64 z t))
13.0ms	(cbrt.f64 (/.f64 z t))

simplify63.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5117	1008

prune60.0ms

Filtered

84 candidates to 110 candidates (-31.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	110	9	119

Merged error: 0.0b

Counts

119 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
4.4b	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log_binary64`
22×	`associate-r_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`add-cbrt-cube_binary64` `times-frac_binary64` `cbrt-prod_binary64`
13×	`pow1_binary64`
12×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`pow-prod-down_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `pow1/3_binary64` `div-exp_binary64`
2×	`flip3--_binary64` `flip--_binary64` `frac-times_binary64`
1×	`associate-r/_binary64` `associate-l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
18.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

series68.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 z)
16.0ms	(cbrt.f64 z)
16.0ms	(cbrt.f64 z)
20.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

simplify58.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4981	729
1	4981	729

prune36.0ms

Filtered

67 candidates to 96 candidates (-43.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	96	9	105

Merged error: 0.0b

Counts

105 → 9

regimes412.0ms

Accuracy

21.9% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.2b

bsearch36.0ms

Steps

Iters	Range		Point
10	1.892584650266192e-183	1.3059520877367049e-170	1.3955342177223764e-182
8	-1.615218110979688e-205	-6.033372407802485e-210	-1.939599798124544e-207

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	34
1	38	34

end0.0ms

sample605.0ms

Algorithm

intervals

Results

267.0ms	8000×	body	80	valid
70.0ms	2134×	body	80	invalid

Details

analyze654.0ms

sample22.0ms

simplify45.0ms

prune3.0ms

localize7.0ms

rewrite12.0ms

series14.0ms

simplify44.0ms

prune49.0ms

localize10.0ms

rewrite35.0ms

series147.0ms

simplify45.0ms

prune62.0ms

localize10.0ms

rewrite26.0ms

series88.0ms

simplify63.0ms

prune60.0ms

localize10.0ms

rewrite28.0ms

series68.0ms

simplify58.0ms

prune36.0ms

regimes412.0ms

bsearch36.0ms

simplify2.0ms

end0.0ms

sample605.0ms

Profiling