Details

analyze937.0ms

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
16.4%	83.4%	0.2%	11
19.9%	79.9%	0.2%	12
21.6%	77.2%	1.2%	13
24.8%	73.7%	1.4%	14

sample27.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	83×	body	80	invalid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	550	9
1	550	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: 8.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(-.f64 (.f64 x y) (.f64 z t))
8.3b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 41

Calls

2 calls:

4.0ms	(-.f64 (.f64 x y) (.f64 z t))
6.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

series28.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(-.f64 (.f64 x y) (.f64 z t))
16.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

simplify48.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5334	577

prune92.0ms

Filtered

37 candidates to 47 candidates (-27.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	37	10	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	10	48

Merged error: 8.5b

Counts

48 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))
6.5b	(/.f64 (*.f64 z t) a)
6.6b	(/.f64 (*.f64 x y) a)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-/r*_binary64` `times-frac_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

3 → 58

Calls

3 calls:

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

series32.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))
5.0ms	(/.f64 (*.f64 z t) a)
6.0ms	(/.f64 (*.f64 x y) a)

simplify67.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4945	588
1	4945	588

prune93.0ms

Filtered

46 candidates to 67 candidates (-45.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	60	7	67
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	67	10	77

Merged error: 0.3b

Counts

77 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x (/.f64 y a)) (/.f64 (.f64 z t) a))
4.3b	(*.f64 x (/.f64 y a))
6.5b	(/.f64 (*.f64 z t) a)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
13×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-/r_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `associate-l_binary64` `prod-exp_binary64` `div-exp_binary64`
2×	`unswap-sqr_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64` `-commutative_binary64`

Counts

3 → 66

Calls

3 calls:

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

series32.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(-.f64 (.f64 x (/.f64 y a)) (/.f64 (.f64 z t) a))
5.0ms	(*.f64 x (/.f64 y a))
5.0ms	(/.f64 (*.f64 z t) a)

simplify77.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4958	625
1	4958	625

prune88.0ms

Filtered

52 candidates to 75 candidates (-44.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	76	9	85

Merged error: 0.0b

Counts

85 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x (/.f64 y a)) (.f64 z (/.f64 t a)))
4.3b	(*.f64 x (/.f64 y a))
4.7b	(*.f64 z (/.f64 t a))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
26×	`associate-r_binary64`
20×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`associate-r/_binary64` `associate-l*_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

3 → 77

Calls

3 calls:

6.0ms	(-.f64 (.f64 x (/.f64 y a)) (.f64 z (/.f64 t a)))
10.0ms	(*.f64 x (/.f64 y a))
7.0ms	(*.f64 z (/.f64 t a))

series30.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(-.f64 (.f64 x (/.f64 y a)) (.f64 z (/.f64 t a)))
5.0ms	(*.f64 x (/.f64 y a))
5.0ms	(*.f64 z (/.f64 t a))

simplify61.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4955	706
1	4955	706

prune56.0ms

Filtered

58 candidates to 86 candidates (-48.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

regimes1.0s

Accuracy

47.9% (4.2b remaining)

Error of 4.2b against oracle of 0.0b and baseline of 8.1b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	106	55
1	106	55

end0.0ms

sample751.0ms

Algorithm

intervals

Results

279.0ms	8000×	body	80	valid
116.0ms	3092×	body	80	invalid

Details

analyze937.0ms

sample27.0ms

simplify35.0ms

prune4.0ms

localize8.0ms

rewrite12.0ms

series28.0ms

simplify48.0ms

prune92.0ms

localize8.0ms

rewrite21.0ms

series32.0ms

simplify67.0ms

prune93.0ms

localize8.0ms

rewrite21.0ms

series32.0ms

simplify77.0ms

prune88.0ms

localize8.0ms

rewrite26.0ms

series30.0ms

simplify61.0ms

prune56.0ms

regimes1.0s

bsearch1.0ms

simplify3.0ms

end0.0ms

sample751.0ms

Profiling