Details

sample150.0ms

Algorithm

intervals

Results

75.0ms	163×	body	1280	valid
35.0ms	135×	body	640	valid
13.0ms	56×	body	320	valid
8.0ms	148×	body	80	valid
3.0ms	29×	body	160	valid

simplify69.0ms

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: 43.1b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.8b	(- (exp (- im)) (exp im))

rewrite22.0ms

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:

15.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.0ms	(- (exp (- im)) (exp im))

series116.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
36.0ms	(- (exp (- im)) (exp im))

simplify35.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (30.0ms)

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

prune112.0ms

Filtered

46 candidates to 32 candidates (69.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	2	47

Merged error: 0.1b

Counts

47 → 2

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
25×	`add-sqr-sqrt`
18×	`add-exp-log`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-cbrt-cube`
9×	`prod-exp`
8×	`pow1` `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` `*-commutative` `add-log-exp`
2×	`pow-to-exp` `distribute-neg-in` `associate-*r/` `pow-exp` `distribute-neg-frac`
1×	`distribute-rgt-in` `cube-mult` `neg-mul-1` `distribute-lft-in` `flip3-+` `unpow3` `distribute-rgt-neg-out` `flip-+`

Counts

3 → 86

Calls

3 calls:

6.0ms	(* 1/60 (pow im 5))
7.0ms	(* 1/3 (pow im 3))
12.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

series262.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify73.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	474	653
1	2365	577
2	5002	574

prune249.0ms

Filtered

95 candidates to 60 candidates (63.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	87	8	95
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	88	9	97

Merged error: 0.0b

Counts

97 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

6.0ms	(* 1/60 (pow im 5))
8.0ms	(* (* (* 0.5 (sin re)) (pow im 3)) -1/3)
7.0ms	(* (* 0.5 (sin re)) (pow im 3))
10.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))

series514.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* 1/60 (pow im 5))
96.0ms	(* (* (* 0.5 (sin re)) (pow im 3)) -1/3)
94.0ms	(* (* 0.5 (sin re)) (pow im 3))
273.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify95.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	592	779
1	3136	665
2	5002	662

prune305.0ms

Filtered

119 candidates to 70 candidates (58.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	5	119
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	119	9	128

Merged error: 0.0b

Counts

128 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))) (cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))))
14.8b	(cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
14.8b	(cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
14.8b	(cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

9.0ms	(* (cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))) (cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))))
11.0ms	(cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
11.0ms	(cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
11.0ms	(cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

420.0ms	(* (cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))) (cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))))
322.0ms	(cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
318.0ms	(cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
328.0ms	(cbrt (* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))

simplify65.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	427	2062
1	1783	1851
2	5001	1720

prune371.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

regimes235.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	14
1	50	14
2	57	14
3	57	14

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.3s	4734×	body	1280	valid
1.1s	3808×	body	640	valid
355.0ms	1915×	body	320	valid
276.0ms	4554×	body	80	valid
114.0ms	940×	body	160	valid