Details

analyze884.0ms

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
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

sample27.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	92×	body	80	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	718	9
1	718	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: 7.7b

Counts

2 → 1

localize7.0ms

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))
8.3b	(/.f64 (*.f64 y (-.f64 z t)) a)

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

series47.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(*.f64 y (-.f64 z t))
23.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
15.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify41.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5072	574

prune73.0ms

Filtered

46 candidates to 68 candidates (-47.8%)

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 t) a)))
0.0b	(/.f64 (-.f64 z t) a)
4.5b	(*.f64 y (/.f64 (-.f64 z t) a))

rewrite25.0ms

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:

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

series41.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
7.0ms	(/.f64 (-.f64 z t) a)
15.0ms	(*.f64 y (/.f64 (-.f64 z t) a))

simplify59.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5871	889

prune90.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	94	8	102

Merged error: 0b

Counts

102 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
0.0b	(/.f64 a (-.f64 z t))
5.0b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite41.0ms

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:

19.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
6.0ms	(/.f64 a (-.f64 z t))
9.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

series46.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
9.0ms	(/.f64 a (-.f64 z t))
19.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4997	2025
1	4997	2025

prune128.0ms

Filtered

117 candidates to 160 candidates (-36.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	2	3	5
Picked	0	1	1
Done	2	0	2
Total	163	5	168

Merged error: 0b

Counts

168 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
7.2b	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite17.0ms

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)))
11.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

series34.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
16.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

simplify35.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5037	583

prune43.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	59	5	64

Merged error: 0b

Counts

64 → 5

regimes556.0ms

Accuracy

65.2% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	45
1	38	45

end0.0ms

sample664.0ms

Algorithm

intervals

Results

254.0ms	8000×	body	80	valid
92.0ms	2533×	body	80	invalid

Details

analyze884.0ms

sample27.0ms

simplify41.0ms

prune4.0ms

localize7.0ms

rewrite21.0ms

series47.0ms

simplify41.0ms

prune73.0ms

localize7.0ms

rewrite25.0ms

series41.0ms

simplify59.0ms

prune90.0ms

localize7.0ms

rewrite41.0ms

series46.0ms

simplify56.0ms

prune128.0ms

localize7.0ms

rewrite17.0ms

series34.0ms

simplify35.0ms

prune43.0ms

regimes556.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample664.0ms

Profiling