Details

analyze1.4s

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

sample31.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

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: 22.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
1.4b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
21.3b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
4×	`sub-neg_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-l_binary64` `associate-/l_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `associate-+r+_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` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

7.0ms	(*.f64 z (-.f64 t a))
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))))

series121.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(*.f64 z (-.f64 t a))
15.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
99.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

simplify38.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5021	1134

prune125.0ms

Filtered

57 candidates to 77 candidates (-35.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	67	10	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	11	78

Merged error: 21.4b

Counts

78 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
1.1b	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
1.4b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
20.7b	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

rewrite34.0ms

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:

7.0ms	(*.f64 z (-.f64 t a))
5.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
13.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

series142.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 z (-.f64 t a))
19.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
16.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
99.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5992	1663

prune130.0ms

Filtered

78 candidates to 124 candidates (-59.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	124	11	135

Merged error: 21.4b

Counts

135 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.3b	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
1.4b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
21.4b	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 152

Calls

4 calls:

9.0ms	(*.f64 z (-.f64 t a))
12.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
6.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
9.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))

series292.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 z (-.f64 t a))
187.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
18.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
79.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))

simplify67.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5104	3633

prune149.0ms

Filtered

112 candidates to 164 candidates (-46.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	164	11	175

Merged error: 21.4b

Counts

175 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

10.2b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a)))) (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))))) (/.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a)))) (+.f64 y (*.f64 z (-.f64 b y)))))
17.9b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))))
17.9b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))))
17.9b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div_binary64`
25×	`add-sqr-sqrt_binary64`
24×	`associate-r_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
19×	`cbrt-prod_binary64`
16×	`flip3-+_binary64` `add-exp-log_binary64` `flip-+_binary64` `frac-times_binary64`
12×	`associate-*l/_binary64`
10×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`associate-*r/_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow1/3_binary64` `unswap-sqr_binary64`
2×	`cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
1×	`associate-l_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 102

Calls

4 calls:

23.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a)))) (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))))) (/.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a)))) (+.f64 y (*.f64 z (-.f64 b y)))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))))

series269.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a)))) (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))))) (/.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a)))) (+.f64 y (*.f64 z (-.f64 b y)))))
56.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))))
54.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))))
58.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))))

simplify52.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5312	3280

prune92.0ms

Filtered

90 candidates to 114 candidates (-26.7%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	114	11	125

Merged error: 21.4b

Counts

125 → 11

regimes863.0ms

Accuracy

0% (0.6b remaining)

Error of 23.2b against oracle of 22.6b and baseline of 23.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	17
1	37	17

end0.0ms

sample728.0ms

Algorithm

intervals

Results

403.0ms	8000×	body	80	valid
24.0ms	400×	body	80	invalid

Details

analyze1.4s

sample31.0ms

simplify59.0ms

prune5.0ms

localize12.0ms

rewrite22.0ms

series121.0ms

simplify38.0ms

prune125.0ms

localize13.0ms

rewrite34.0ms

series142.0ms

simplify58.0ms

prune130.0ms

localize14.0ms

rewrite42.0ms

series292.0ms

simplify67.0ms

prune149.0ms

localize16.0ms

rewrite40.0ms

series269.0ms

simplify52.0ms

prune92.0ms

regimes863.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample728.0ms

Profiling