Details

sample142.0ms

Algorithm

intervals

Results

69.0ms	164×	body	1280	valid
36.0ms	137×	body	640	valid
11.0ms	69×	body	320	valid
6.0ms	134×	body	80	valid
3.0ms	28×	body	160	valid

simplify71.0ms

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: 44.5b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.5b	(- (exp (- im)) (exp im))

rewrite17.0ms

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:

10.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.0ms	(- (exp (- im)) (exp im))

series120.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
41.0ms	(- (exp (- im)) (exp im))

simplify34.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (30.0ms)

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

prune110.0ms

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

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 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)))))

rewrite25.0ms

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:

5.0ms	(* 1/60 (pow im 5))
6.0ms	(* 1/3 (pow im 3))
12.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

series260.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* 1/60 (pow im 5))
39.0ms	(* 1/3 (pow im 3))
175.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (59.0ms)

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

prune243.0ms

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

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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

series341.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (sin re) (pow im 5))
97.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
31.0ms	(* (sin re) im)
81.0ms	(* (sin re) (pow im 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	335	504
1	1442	434
2	5001	434

prune277.0ms

Filtered

105 candidates to 66 candidates (62.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	103	11	114

Merged error: 0.0b

Counts

114 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt im) (cbrt im))
0.6b	(cbrt im)
0.6b	(cbrt im)
0.6b	(cbrt im)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt im) (cbrt im))
1.0ms	(cbrt im)
1.0ms	(cbrt im)
1.0ms	(cbrt im)

series740.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt im) (cbrt im))
184.0ms	(cbrt im)
179.0ms	(cbrt im)
180.0ms	(cbrt im)

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune292.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	84	12	96

Merged error: 0b

Counts

96 → 12

regimes488.0ms

Accuracy

0% (0.5b remaining)

Error of 0.9b against oracle of 0.4b and baseline of 0.9b

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

sample4.0s

Algorithm

intervals

Results

2.1s	4779×	body	1280	valid
960.0ms	3755×	body	640	valid
293.0ms	1900×	body	320	valid
219.0ms	4405×	body	80	valid
101.0ms	947×	body	160	valid