Details

analyze613.0ms

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
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

sample25.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	78×	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

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
5.8b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite23.0ms

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` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_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:

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

series216.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
140.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

simplify62.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4965	866
1	4965	866

prune46.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	4	60

Merged error: 0.0b

Counts

60 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t))) t)
0.0b	(+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t)))
3.2b	(*.f64 (/.f64 x y) (neg.f64 t))
4.5b	(*.f64 (/.f64 x y) z)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
26×	`associate-l_binary64`
24×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64`
11×	`add-log-exp_binary64`
8×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-*l/_binary64` `sum-log_binary64`
3×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `*-commutative_binary64`
1×	`frac-add_binary64` `associate-+l+_binary64` `neg-mul-1_binary64` `associate-+l-_binary64`

Counts

4 → 101

Calls

4 calls:

10.0ms	(+.f64 (+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t))) t)
7.0ms	(+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t)))
9.0ms	(*.f64 (/.f64 x y) (neg.f64 t))
7.0ms	(*.f64 (/.f64 x y) z)

series293.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(+.f64 (+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t))) t)
106.0ms	(+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t)))
48.0ms	(*.f64 (/.f64 x y) (neg.f64 t))
45.0ms	(*.f64 (/.f64 x y) z)

simplify42.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5379	1379

prune64.0ms

Filtered

83 candidates to 113 candidates (-36.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
0.0b	(/.f64 (-.f64 z t) y)
6.5b	(*.f64 x (/.f64 (-.f64 z t) y))

rewrite33.0ms

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:

8.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
6.0ms	(/.f64 (-.f64 z t) y)
11.0ms	(*.f64 x (/.f64 (-.f64 z t) y))

series253.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
59.0ms	(/.f64 (-.f64 z t) y)
118.0ms	(*.f64 x (/.f64 (-.f64 z t) y))

simplify69.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5871	1341

prune49.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	95	5	100

Merged error: 0b

Counts

100 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (.f64 (-.f64 z t) (/.f64 1 y))) t)
0.2b	(*.f64 (-.f64 z t) (/.f64 1 y))
6.5b	(.f64 x (.f64 (-.f64 z t) (/.f64 1 y)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
21×	`add-sqr-sqrt_binary64`
17×	`add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64`
14×	`associate-r_binary64`
12×	`add-cube-cbrt_binary64`
11×	`times-frac_binary64`
10×	`pow1_binary64` `prod-exp_binary64`
8×	`associate-r/_binary64` `associate-l*_binary64`
7×	`cbrt-unprod_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `flip3--_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`unswap-sqr_binary64`
2×	`cbrt-undiv_binary64` `rec-exp_binary64` `un-div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 79

Calls

3 calls:

12.0ms	(+.f64 (.f64 x (.f64 (-.f64 z t) (/.f64 1 y))) t)
11.0ms	(*.f64 (-.f64 z t) (/.f64 1 y))
12.0ms	(.f64 x (.f64 (-.f64 z t) (/.f64 1 y)))

series257.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+.f64 (.f64 x (.f64 (-.f64 z t) (/.f64 1 y))) t)
56.0ms	(*.f64 (-.f64 z t) (/.f64 1 y))
118.0ms	(.f64 x (.f64 (-.f64 z t) (/.f64 1 y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5216	1106

prune43.0ms

Filtered

57 candidates to 88 candidates (-54.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	88	5	93

Merged error: 0b

Counts

93 → 5

regimes61.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	19
1	46	19

end0.0ms

sample576.0ms

Algorithm

intervals

Results

248.0ms	8000×	body	128	valid
62.0ms	2039×	body	128	invalid

Details

analyze613.0ms

sample25.0ms

simplify53.0ms

prune2.0ms

localize6.0ms

rewrite23.0ms

series216.0ms

simplify62.0ms

prune46.0ms

localize9.0ms

rewrite40.0ms

series293.0ms

simplify42.0ms

prune64.0ms

localize7.0ms

rewrite33.0ms

series253.0ms

simplify69.0ms

prune49.0ms

localize8.0ms

rewrite42.0ms

series257.0ms

simplify64.0ms

prune43.0ms

regimes61.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample576.0ms

Profiling