Details

analyze631.0ms

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
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample20.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	67×	body	128	invalid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	734	13
1	734	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: 7.8b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
0.0b	(*.f64 (-.f64 y x) z)
8.0b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite27.0ms

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-l_binary64`
4×	`associate-*l/_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
2×	`associate-/l/_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` `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 → 57

Calls

3 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
7.0ms	(*.f64 (-.f64 y x) z)
11.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

series251.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
65.0ms	(*.f64 (-.f64 y x) z)
107.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

simplify66.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5146	824

prune46.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	5	67

Merged error: 0b

Counts

67 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
8.3b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_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-l_binary64`
4×	`add-log-exp_binary64` `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` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_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

2 → 49

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series195.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
110.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify61.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5350	832

prune28.0ms

Filtered

38 candidates to 55 candidates (-44.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	55	5	60

Merged error: 0b

Counts

60 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
9.0b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac_binary64`
88×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
58×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`associate-/r*_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 114

Calls

2 calls:

21.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
10.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series195.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
114.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

simplify66.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5004	2589

prune64.0ms

Filtered

84 candidates to 120 candidates (-42.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	120	5	125

Merged error: 0b

Counts

125 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z))))
0.0b	(*.f64 (-.f64 y x) z)
0.5b	(/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z)))
7.9b	(/.f64 t (*.f64 (-.f64 y x) z))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac_binary64`
31×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64` `add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
12×	`associate-*l/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`div-exp_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `associate-/l*_binary64` `flip--_binary64`
5×	`associate-l_binary64`
4×	`prod-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-r_binary64` `rec-exp_binary64`
2×	`distribute-lft-out_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 119

Calls

4 calls:

12.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z))))
9.0ms	(*.f64 (-.f64 y x) z)
10.0ms	(/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z)))
8.0ms	(/.f64 t (*.f64 (-.f64 y x) z))

series402.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z))))
54.0ms	(*.f64 (-.f64 y x) z)
135.0ms	(/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z)))
138.0ms	(/.f64 t (*.f64 (-.f64 y x) z))

simplify67.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5206	1945

prune63.0ms

Filtered

82 candidates to 131 candidates (-59.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	131	5	136

Merged error: 0b

Counts

136 → 5

regimes118.0ms

Accuracy

-9.8% (2.2b remaining)

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

bsearch66.0ms

Steps

Iters	Range		Point
9	1.5073900674336097e-46	1.2864789706162935e-41	1.0924638826147999e-43
4	1.1208975233806758e-262	1.613727259630383e-262	1.211210389414713e-262
7	-3.995930700300787e-189	-1.4218631857898808e-190	-1.6559531902467963e-189
9	-2.4373822719522272e-39	-1.9129693913490203e-44	-3.11403616466007e-40

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	92
1	48	92

end0.0ms

sample586.0ms

Algorithm

intervals

Results

249.0ms	8000×	body	128	valid
65.0ms	2118×	body	128	invalid

Details

analyze631.0ms

sample20.0ms

simplify53.0ms

prune1.0ms

localize6.0ms

rewrite27.0ms

series251.0ms

simplify66.0ms

prune46.0ms

localize7.0ms

rewrite18.0ms

series195.0ms

simplify61.0ms

prune28.0ms

localize9.0ms

rewrite44.0ms

series195.0ms

simplify66.0ms

prune64.0ms

localize8.0ms

rewrite48.0ms

series402.0ms

simplify67.0ms

prune63.0ms

regimes118.0ms

bsearch66.0ms

simplify3.0ms

end0.0ms

sample586.0ms

Profiling