Details

sample153.0ms

Algorithm

intervals

Results

72.0ms	160×	body	1280	valid
34.0ms	126×	body	640	valid
10.0ms	57×	body	320	valid
8.0ms	145×	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	1025	7
7	2309	7
8	5002	7

prune4.0ms

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: 44.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
4.5b	(- (exp (neg 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 (neg im)) (exp im)))
6.0ms	(- (exp (neg im)) (exp im))

series113.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
35.0ms	(- (exp (neg 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	329
2	5001	328

prune175.0ms

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: 0.2b

Counts

47 → 4

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))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`associate-r`
18×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`prod-exp`
8×	`pow1` `unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `distribute-lft-in` `associate-*r/` `pow-exp`
1×	`cube-mult` `flip3--` `unpow3` `flip--`

Counts

3 → 80

Calls

3 calls:

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

series258.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* 1/60 (pow im 5))
39.0ms	(* -1/3 (pow im 3))
172.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify62.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	405	575
1	1890	496
2	5001	496

prune317.0ms

Filtered

89 candidates to 54 candidates (60.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	84	9	93

Merged error: 0.1b

Counts

93 → 9

localize18.0ms

Local error

Found 4 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)) (+ (log (exp (* 1/60 (pow im 5)))) (* 2 im))))
1.8b	(log (exp (* 1/60 (pow im 5))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log`
13×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`pow1`
9×	`prod-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod` `add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`log-prod` `pow-prod-down` `log-pow` `*-commutative`
2×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `distribute-lft-in` `associate-*r/` `pow-exp`
1×	`cube-mult` `exp-prod` `flip3--` `exp-to-pow` `unpow3` `rem-log-exp` `flip--`

Counts

4 → 94

Calls

4 calls:

5.0ms	(* 1/60 (pow im 5))
6.0ms	(* -1/3 (pow im 3))
11.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (log (exp (* 1/60 (pow im 5)))) (* 2 im))))
2.0ms	(log (exp (* 1/60 (pow im 5))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* 1/60 (pow im 5))
35.0ms	(* -1/3 (pow im 3))
173.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (log (exp (* 1/60 (pow im 5)))) (* 2 im))))
50.0ms	(log (exp (* 1/60 (pow im 5))))

simplify60.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	423	684
1	1916	573
2	5001	573

prune401.0ms

Filtered

106 candidates to 67 candidates (63.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	106	9	115

Merged error: 0.1b

Counts

115 → 9

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)))))
0.6b	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.6b	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.6b	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

rewrite38.0ms

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:

17.0ms	(* (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)))))
6.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series700.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (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)))))
165.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
167.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
166.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify61.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	403	2076
1	1513	1955
2	5002	1832

prune514.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	94	14	108

Merged error: 0.0b

Counts

108 → 14

regimes449.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	12
1	26	12

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.2s	4729×	body	1280	valid
1.0s	3726×	body	640	valid
330.0ms	1893×	body	320	valid
264.0ms	4433×	body	80	valid
110.0ms	929×	body	160	valid

Details

sample153.0ms

simplify70.0ms

prune4.0ms

localize10.0ms

rewrite17.0ms

series113.0ms

simplify35.0ms

prune175.0ms

localize16.0ms

rewrite24.0ms

series258.0ms

simplify62.0ms

prune317.0ms

localize18.0ms

rewrite27.0ms

series310.0ms

simplify60.0ms

prune401.0ms

localize25.0ms

rewrite38.0ms

series700.0ms

simplify61.0ms

prune514.0ms

regimes449.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.5s

Profiling