Details

analyze900.0ms

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample25.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	92×	body	128	invalid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	719	13
1	719	13

prune1.0ms

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: 7.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
7.9b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 59

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z t))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
7.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series301.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(*.f64 y (-.f64 z t))
115.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
115.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify52.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5204	849

prune47.0ms

Filtered

46 candidates to 68 candidates (-47.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	5	69

Merged error: 0.0b

Counts

69 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
4.3b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
38×	`*-un-lft-identity_binary64`
34×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
25×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
21.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

series713.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt.f64 a)
149.0ms	(cbrt.f64 a)
171.0ms	(cbrt.f64 a)
246.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

simplify89.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4947	1665
1	4947	1665

prune85.0ms

Filtered

88 candidates to 116 candidates (-31.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	115	6	121

Merged error: 0b

Counts

121 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))
6.1b	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
13×	`associate-l_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 52

Calls

2 calls:

5.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))
10.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

series241.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))
125.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

simplify48.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4984	850
1	4984	850

prune42.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	58	6	64

Merged error: 0b

Counts

64 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
4.3b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (.f64 (.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a))) (cbrt.f64 (cbrt.f64 a))))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log_binary64`
46×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
35×	`times-frac_binary64`
34×	`associate-r_binary64`
30×	`add-cbrt-cube_binary64`
26×	`add-cube-cbrt_binary64`
25×	`cbrt-prod_binary64`
22×	`cbrt-unprod_binary64` `prod-exp_binary64`
13×	`cbrt-undiv_binary64` `div-exp_binary64`
7×	`associate-l_binary64`
6×	`pow1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `unswap-sqr_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 109

Calls

4 calls:

1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
36.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (.f64 (.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a))) (cbrt.f64 (cbrt.f64 a))))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

series701.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt.f64 a)
148.0ms	(cbrt.f64 a)
160.0ms	(cbrt.f64 a)
242.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (.f64 (.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a))) (cbrt.f64 (cbrt.f64 a))))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

simplify84.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4928	1543
1	4928	1543

prune75.0ms

Filtered

77 candidates to 121 candidates (-57.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	121	6	127

Merged error: 0b

Counts

127 → 6

regimes217.0ms

Accuracy

66.6% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	52
1	39	52

end0.0ms

sample710.0ms

Algorithm

intervals

Results

269.0ms	8000×	body	128	valid
89.0ms	2587×	body	128	invalid

Details

analyze900.0ms

sample25.0ms

simplify51.0ms

prune1.0ms

localize7.0ms

rewrite23.0ms

series301.0ms

simplify52.0ms

prune47.0ms

localize11.0ms

rewrite36.0ms

series713.0ms

simplify89.0ms

prune85.0ms

localize9.0ms

rewrite19.0ms

series241.0ms

simplify48.0ms

prune42.0ms

localize16.0ms

rewrite54.0ms

series701.0ms

simplify84.0ms

prune75.0ms

regimes217.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample710.0ms

Profiling