Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

sample27.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	15×	body	80	invalid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5060	17

prune5.0ms

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: 21.6b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (*.f64 z (-.f64 b y)))
0.0b	(*.f64 z (-.f64 b y))
0.7b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
20.9b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

4.0ms	(+.f64 y (*.f64 z (-.f64 b y)))
7.0ms	(*.f64 z (-.f64 b y))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
9.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

series144.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+.f64 y (*.f64 z (-.f64 b y)))
8.0ms	(*.f64 z (-.f64 b y))
16.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
112.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

simplify44.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5451	1289

prune148.0ms

Filtered

69 candidates to 93 candidates (-34.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	11	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Merged error: 21.0b

Counts

94 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 b y))
0.2b	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
0.7b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
20.8b	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
20×	`associate-r_binary64` `times-frac_binary64`
19×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`flip3-+_binary64` `prod-exp_binary64` `flip-+_binary64`
4×	`sub-neg_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64`
3×	`associate-/r_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `rec-exp_binary64` `div-inv_binary64` `associate-+r+_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `sum-log_binary64`

Counts

4 → 112

Calls

4 calls:

6.0ms	(*.f64 z (-.f64 b y))
5.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
12.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

series154.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 z (-.f64 b y))
22.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
16.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
108.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4976	1663
1	4976	1663

prune151.0ms

Filtered

77 candidates to 124 candidates (-61.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	124	11	135

Merged error: 21.0b

Counts

135 → 11

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
0.7b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
20.9b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 b y) (cbrt.f64 z)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
4×	`pow1_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-/l_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `pow1/3_binary64` `associate-/r/_binary64` `associate-+r+_binary64`
1×	`cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 66

Calls

4 calls:

2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)
8.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
15.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 b y) (cbrt.f64 z)))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt.f64 z)
17.0ms	(cbrt.f64 z)
16.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
204.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 b y) (cbrt.f64 z)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	6511	1067

prune100.0ms

Filtered

60 candidates to 78 candidates (-30.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	78	11	89

Merged error: 21.0b

Counts

89 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 b y))
0.6b	(cbrt.f64 (-.f64 b y))
0.7b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
20.8b	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 (.f64 z (.f64 (cbrt.f64 (-.f64 b y)) (cbrt.f64 (-.f64 b y)))) (cbrt.f64 (-.f64 b y))))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
15×	`associate-r_binary64`
14×	`add-cube-cbrt_binary64`
13×	`add-exp-log_binary64`
11×	`times-frac_binary64`
10×	`cbrt-prod_binary64`
9×	`add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `pow1_binary64`
4×	`cbrt-div_binary64` `flip3-+_binary64` `prod-exp_binary64` `flip-+_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `associate-/r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `flip--_binary64` `associate-+r+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `rec-exp_binary64` `un-div-inv_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 b y))
3.0ms	(cbrt.f64 (-.f64 b y))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
12.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 (.f64 z (.f64 (cbrt.f64 (-.f64 b y)) (cbrt.f64 (-.f64 b y)))) (cbrt.f64 (-.f64 b y))))))

series184.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt.f64 (-.f64 b y))
29.0ms	(cbrt.f64 (-.f64 b y))
16.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
111.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 (.f64 z (.f64 (cbrt.f64 (-.f64 b y)) (cbrt.f64 (-.f64 b y)))) (cbrt.f64 (-.f64 b y))))))

simplify46.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5266	1371

prune85.0ms

Filtered

74 candidates to 97 candidates (-31.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	94	14	108

Merged error: 21.0b

Counts

108 → 14

regimes889.0ms

Accuracy

0% (0.7b remaining)

Error of 23.3b against oracle of 22.6b and baseline of 23.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	19
1	40	19

end0.0ms

sample721.0ms

Algorithm

intervals

Results

420.0ms	8000×	body	80	valid
21.0ms	422×	body	80	invalid

Details

analyze1.3s

sample27.0ms

simplify60.0ms

prune5.0ms

localize18.0ms

rewrite26.0ms

series144.0ms

simplify44.0ms

prune148.0ms

localize16.0ms

rewrite31.0ms

series154.0ms

simplify53.0ms

prune151.0ms

localize27.0ms

rewrite30.0ms

series256.0ms

simplify54.0ms

prune100.0ms

localize20.0ms

rewrite26.0ms

series184.0ms

simplify46.0ms

prune85.0ms

regimes889.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample721.0ms

Profiling