Details

sample151.0ms

Algorithm

intervals

Results

79.0ms	169×	body	1280	valid
36.0ms	123×	body	640	valid
9.0ms	52×	body	320	valid
8.0ms	154×	body	80	valid
3.0ms	29×	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

prune2.0ms

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: 41.7b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
4.1b	(- (exp (- im)) (exp im))

rewrite18.0ms

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:

11.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.0ms	(- (exp (- im)) (exp im))

series128.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
41.0ms	(- (exp (- im)) (exp im))

simplify38.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (33.0ms)

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

prune115.0ms

Filtered

46 candidates to 32 candidates (69.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	4	47

Merged error: 0.1b

Counts

47 → 4

localize20.0ms

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

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))
7.0ms	(* 1/3 (pow im 3))
13.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

series341.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
48.0ms	(* 1/60 (pow im 5))
42.0ms	(* 1/3 (pow im 3))
188.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (71.0ms)

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

prune305.0ms

Filtered

111 candidates to 71 candidates (64.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	103	8	111
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	104	11	115

Merged error: 0.0b

Counts

115 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.16666666666666666 (* (sin re) (pow im 3)))
0.0b	(* (sin re) (pow im 5))
0.1b	(* (sin re) (pow im 3))
0.1b	(* (sin re) im)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`add-exp-log`
23×	`associate-r`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
12×	`associate-l`
8×	`pow1` `unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`cube-prod` `*-commutative` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`
2×	`pow-prod-down`
1×	`cube-mult` `unpow3`

Counts

4 → 93

Calls

4 calls:

6.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
6.0ms	(* (sin re) (pow im 5))
7.0ms	(* (sin re) (pow im 3))
4.0ms	(* (sin re) im)

series344.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
131.0ms	(* (sin re) (pow im 5))
84.0ms	(* (sin re) (pow im 3))
33.0ms	(* (sin re) im)

simplify50.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	335	504
1	1442	434
2	5002	434

prune287.0ms

Filtered

105 candidates to 66 candidates (62.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	104	12	116

Merged error: 0.0b

Counts

116 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (sin re) im)) (cbrt (* (sin re) im)))
16.7b	(cbrt (* (sin re) im))
16.7b	(cbrt (* (sin re) im))
16.7b	(cbrt (* (sin re) im))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* (sin re) im)) (cbrt (* (sin re) im)))
7.0ms	(cbrt (* (sin re) im))
3.0ms	(cbrt (* (sin re) im))
3.0ms	(cbrt (* (sin re) im))

series408.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (* (sin re) im)) (cbrt (* (sin re) im)))
94.0ms	(cbrt (* (sin re) im))
94.0ms	(cbrt (* (sin re) im))
96.0ms	(cbrt (* (sin re) im))

simplify88.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	190	460
1	631	408
2	3033	348
3	5001	326

prune254.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	72	10	82

Merged error: 0.0b

Counts

82 → 10

regimes259.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	14
1	41	14
2	59	14
3	69	14
4	69	14

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.4s	4868×	body	1280	valid
1.1s	3688×	body	640	valid
357.0ms	1873×	body	320	valid
263.0ms	4546×	body	80	valid
125.0ms	994×	body	160	valid