Details

sample147.0ms

Algorithm

intervals

Results

76.0ms	150×	body	1280	valid
34.0ms	125×	body	640	valid
11.0ms	57×	body	320	valid
8.0ms	136×	body	80	valid
3.0ms	23×	body	160	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	40	7
2	88	7
3	141	7
4	365	7
5	780	7
6	1079	7
7	2595	7
8	5002	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 43.4b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.6b	(- (exp (- im)) (exp im))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 40

Calls

2 calls:

14.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.0ms	(- (exp (- im)) (exp im))

series113.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
35.0ms	(- (exp (- im)) (exp im))

simplify37.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	241	393
1	1046	330
2	5001	329

prune118.0ms

Filtered

46 candidates to 32 candidates (69.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	3	47

Merged error: 0.1b

Counts

47 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.1b	(* 1/3 (pow im 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
26×	`add-sqr-sqrt`
19×	`add-exp-log`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
9×	`pow1` `prod-exp` `add-log-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `sum-log` `*-commutative`
2×	`pow-to-exp` `distribute-neg-in` `flip3-+` `associate-*r/` `pow-exp` `flip-+` `distribute-neg-frac`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `neg-mul-1` `associate-+r+` `distribute-lft-in` `unpow3` `distribute-rgt-neg-out`

Counts

4 → 99

Calls

4 calls:

8.0ms	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
5.0ms	(* 1/60 (pow im 5))
13.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
6.0ms	(* 1/3 (pow im 3))

series315.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
49.0ms	(* 1/60 (pow im 5))
175.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
38.0ms	(* 1/3 (pow im 3))

simplify78.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	526	823
1	2684	730
2	5003	727

prune309.0ms

Filtered

111 candidates to 71 candidates (64.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	104	7	111
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	106	8	114

Merged error: 0.0b

Counts

114 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5)))
0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (sin re)) (- (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im))))
0.1b	(* 1/3 (pow im 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
26×	`add-sqr-sqrt`
19×	`add-exp-log`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
9×	`pow1` `prod-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `*-commutative`
2×	`pow-to-exp` `distribute-neg-in` `flip3-+` `associate-*r/` `pow-exp` `flip-+` `distribute-neg-frac`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `neg-mul-1` `distribute-lft-in` `unpow3` `sum-log` `distribute-rgt-neg-out`

Counts

4 → 97

Calls

4 calls:

5.0ms	(+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5)))
6.0ms	(* 1/60 (pow im 5))
11.0ms	(* (* 0.5 (sin re)) (- (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im))))
6.0ms	(* 1/3 (pow im 3))

series393.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5)))
45.0ms	(* 1/60 (pow im 5))
177.0ms	(* (* 0.5 (sin re)) (- (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im))))
39.0ms	(* 1/3 (pow im 3))

simplify78.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	530	754
1	2598	677
2	5001	677

prune291.0ms

Filtered

109 candidates to 70 candidates (64.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	109	8	117

Merged error: 0.0b

Counts

117 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.7b	(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.7b	(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.7b	(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

18.0ms	(* (cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
7.0ms	(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
7.0ms	(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
7.0ms	(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series836.0ms

Counts

4 → 12

Calls

4 calls:

363.0ms	(* (cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
159.0ms	(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
157.0ms	(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
157.0ms	(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify62.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	393	2049
1	1443	1928
2	5001	1792

prune409.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	96	11	107

Merged error: 0.0b

Counts

107 → 11

regimes248.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	11
1	46	11
2	65	11
3	65	11

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.3s	4824×	body	1280	valid
1.1s	3849×	body	640	valid
348.0ms	1877×	body	320	valid
261.0ms	4498×	body	80	valid
113.0ms	925×	body	160	valid