Details

sample128.0ms

Algorithm

intervals

Results

65.0ms	149×	body	1280	valid
30.0ms	129×	body	640	valid
8.0ms	54×	body	320	valid
7.0ms	143×	body	80	valid
3.0ms	35×	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: 42.2b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
4.4b	(- (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)))
40.0ms	(- (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

prune103.0ms

Filtered

46 candidates to 32 candidates (69.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0.6b

Counts

47 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 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))

rewrite30.0ms

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:

4.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
5.0ms	(* 1/60 (pow im 5))
12.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
6.0ms	(* 1/3 (pow im 3))

series587.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
50.0ms	(* 1/60 (pow im 5))
369.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
36.0ms	(* 1/3 (pow im 3))

simplify83.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	533	736
1	2612	661
2	5002	658

prune280.0ms

Filtered

109 candidates to 70 candidates (64.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	100	9	109
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	101	10	111

Merged error: 0.5b

Counts

111 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (cbrt im) 5)
0.6b	(cbrt im)
0.6b	(cbrt im)
0.6b	(cbrt im)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 54

Calls

4 calls:

3.0ms	(pow (cbrt im) 5)
1.0ms	(cbrt im)
1.0ms	(cbrt im)
1.0ms	(cbrt im)

series749.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(pow (cbrt im) 5)
177.0ms	(cbrt im)
165.0ms	(cbrt im)
167.0ms	(cbrt im)

simplify49.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	119	208
1	358	197
2	1295	188
3	5002	183

prune269.0ms

Filtered

66 candidates to 53 candidates (80.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	66	10	76

Merged error: 0.5b

Counts

76 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

rewrite46.0ms

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:

21.0ms	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
7.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
6.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
7.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

series2.4s

Counts

4 → 12

Calls

4 calls:

633.0ms	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
582.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
609.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
599.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

simplify59.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	382	1476
1	1336	1397
2	5002	1312

prune398.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	98	11	109

Merged error: 0.5b

Counts

109 → 11

regimes349.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	17
1	51	17
2	70	17
3	76	17
4	76	17

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.0s	4587×	body	1280	valid
938.0ms	3796×	body	640	valid
305.0ms	1955×	body	320	valid
209.0ms	4423×	body	80	valid
95.0ms	922×	body	160	valid