Details

analyze1.0s

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	82×	body	80	invalid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	720	13
1	720	13

prune2.0ms

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: 5.9b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
6.3b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite23.0ms

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

series138.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(*.f64 y (-.f64 z t))
53.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
55.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify62.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5172	849

prune45.0ms

Filtered

46 candidates to 68 candidates (-47.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	5	69

Merged error: 0b

Counts

69 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (.f64 (.f64 y (-.f64 z t)) (/.f64 1 a)))
6.4b	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 a))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

9.0ms	(*.f64 y (-.f64 z t))
4.0ms	(+.f64 x (.f64 (.f64 y (-.f64 z t)) (/.f64 1 a)))
11.0ms	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 a))

series138.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(*.f64 y (-.f64 z t))
56.0ms	(+.f64 x (.f64 (.f64 y (-.f64 z t)) (/.f64 1 a)))
52.0ms	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 a))

simplify68.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5110	1104

prune41.0ms

Filtered

51 candidates to 86 candidates (-68.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	86	5	91

Merged error: 0b

Counts

91 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac_binary64`
105×	`*-un-lft-identity_binary64`
103×	`add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 151

Calls

3 calls:

6.0ms	(/.f64 a (-.f64 z t))
21.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
12.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/.f64 a (-.f64 z t))
56.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
62.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

simplify86.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4995	3118
1	4995	3118

prune89.0ms

Filtered

118 candidates to 160 candidates (-35.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	160	5	165

Merged error: 0b

Counts

165 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
5.9b	(*.f64 (/.f64 y a) (-.f64 z t))

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 a) (-.f64 z t)))
10.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

series109.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
55.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

simplify58.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5022	866

prune27.0ms

Filtered

42 candidates to 59 candidates (-40.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	59	5	64

Merged error: 0b

Counts

64 → 5

regimes152.0ms

Accuracy

56.8% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.7b

bsearch41.0ms

Steps

Iters	Range		Point
9	2.3852862564847714e-120	3.6350240499950948e-115	3.6008203482027234e-115
8	-2.247558375531782e+46	-2.4707692691399315e+42	-2.447283432809805e+43

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	54
1	42	54

end0.0ms

sample743.0ms

Algorithm

intervals

Results

298.0ms	8000×	body	80	valid
94.0ms	2527×	body	80	invalid

Details

analyze1.0s

sample24.0ms

simplify63.0ms

prune2.0ms

localize14.0ms

rewrite23.0ms

series138.0ms

simplify62.0ms

prune45.0ms

localize8.0ms

rewrite27.0ms

series138.0ms

simplify68.0ms

prune41.0ms

localize7.0ms

rewrite46.0ms

series153.0ms

simplify86.0ms

prune89.0ms

localize7.0ms

rewrite15.0ms

series109.0ms

simplify58.0ms

prune27.0ms

regimes152.0ms

bsearch41.0ms

simplify3.0ms

end0.0ms

sample743.0ms

Profiling