Details

analyze639.0ms

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample28.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	86×	body	80	invalid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune4.0ms

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: 7.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
7.0b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite21.0ms

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 x))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

series35.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(*.f64 y (-.f64 z x))
12.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
14.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

simplify47.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5612	574

prune73.0ms

Filtered

45 candidates to 68 candidates (-51.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))
0.0b	(/.f64 (-.f64 z x) t)
5.5b	(*.f64 y (/.f64 (-.f64 z x) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))
6.0ms	(/.f64 (-.f64 z x) t)
10.0ms	(*.f64 y (/.f64 (-.f64 z x) t))

series36.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))
10.0ms	(/.f64 (-.f64 z x) t)
14.0ms	(*.f64 y (/.f64 (-.f64 z x) t))

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5894	889

prune101.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	93	9	102

Merged error: 0.0b

Counts

102 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 z t) (/.f64 x t))
0.0b	(+.f64 x (*.f64 y (-.f64 (/.f64 z t) (/.f64 x t))))
5.5b	(*.f64 y (-.f64 (/.f64 z t) (/.f64 x t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
20×	`times-frac_binary64`
12×	`associate-r_binary64`
9×	`add-cube-cbrt_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`add-log-exp_binary64`
5×	`sub-neg_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-*r/_binary64` `div-inv_binary64`
3×	`associate-l_binary64`
2×	`flip3--_binary64` `distribute-rgt-out--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sub-div_binary64` `flip--_binary64` `associate-+r+_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

13.0ms	(-.f64 (/.f64 z t) (/.f64 x t))
5.0ms	(+.f64 x (*.f64 y (-.f64 (/.f64 z t) (/.f64 x t))))
17.0ms	(*.f64 y (-.f64 (/.f64 z t) (/.f64 x t)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(-.f64 (/.f64 z t) (/.f64 x t))
13.0ms	(+.f64 x (*.f64 y (-.f64 (/.f64 z t) (/.f64 x t))))
15.0ms	(*.f64 y (-.f64 (/.f64 z t) (/.f64 x t)))

simplify37.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5055	786

prune78.0ms

Filtered

58 candidates to 77 candidates (-32.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	80	6	86

Merged error: 0b

Counts

86 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
6.9b	(*.f64 (/.f64 y t) (-.f64 z x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_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` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_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 → 53

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
9.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

series30.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
15.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

simplify37.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4990	583
1	4990	583

prune41.0ms

Filtered

42 candidates to 59 candidates (-40.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	59	6	65

Merged error: 0b

Counts

65 → 6

regimes349.0ms

Accuracy

-10.8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	45
1	41	45

end0.0ms

sample575.0ms

Algorithm

intervals

Results

255.0ms	8000×	body	80	valid
69.0ms	2063×	body	80	invalid

Details

analyze639.0ms

sample28.0ms

simplify43.0ms

prune4.0ms

localize7.0ms

rewrite21.0ms

series35.0ms

simplify47.0ms

prune73.0ms

localize7.0ms

rewrite22.0ms

series36.0ms

simplify56.0ms

prune101.0ms

localize8.0ms

rewrite37.0ms

series37.0ms

simplify37.0ms

prune78.0ms

localize7.0ms

rewrite15.0ms

series30.0ms

simplify37.0ms

prune41.0ms

regimes349.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample575.0ms

Profiling