Details

sample139.0ms

Algorithm

intervals

Results

68.0ms	148×	body	1280	valid
37.0ms	123×	body	640	valid
9.0ms	58×	body	320	valid
7.0ms	139×	body	80	valid
3.0ms	22×	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

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: 45.2b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.9b	(- (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))

series117.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
39.0ms	(- (exp (neg 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	329
2	5001	328

prune113.0ms

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 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))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
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×	`sub-neg` `pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `pow-to-exp` `flip3--` `distribute-lft-in` `diff-log` `associate-*r/` `pow-exp` `flip--`
1×	`cube-mult` `unpow3` `sum-log` `associate--r+`

Counts

4 → 94

Calls

4 calls:

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

series313.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
46.0ms	(* 1/60 (pow im 5))
37.0ms	(* -1/3 (pow im 3))
172.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify68.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	447	758
1	2066	657
2	5001	657

prune247.0ms

Filtered

106 candidates to 65 candidates (61.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	100	8	108

Merged error: 0.1b

Counts

108 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* -1/3 (pow im 3)) (* 1/60 (pow im 5)))
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)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

4.0ms	(- (* -1/3 (pow im 3)) (* 1/60 (pow im 5)))
5.0ms	(* 1/60 (pow im 5))
6.0ms	(* -1/3 (pow im 3))
13.0ms	(* (* 0.5 (sin re)) (- (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(- (* -1/3 (pow im 3)) (* 1/60 (pow im 5)))
51.0ms	(* 1/60 (pow im 5))
35.0ms	(* -1/3 (pow im 3))
178.0ms	(* (* 0.5 (sin re)) (- (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))

simplify69.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	475	731
1	2170	646
2	5003	646

prune246.0ms

Filtered

108 candidates to 66 candidates (61.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Merged error: 0.1b

Counts

116 → 8

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))))))
12.2b	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
12.2b	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
12.2b	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
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))))))
10.0ms	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
10.0ms	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
10.0ms	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

399.0ms	(* (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))))))
317.0ms	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
312.0ms	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
311.0ms	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	413	1954
1	1680	1759
2	5002	1624

prune348.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	80	12	92

Merged error: 0.0b

Counts

92 → 12

regimes256.0ms

Accuracy

0% (0.6b 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	23	10
1	23	10

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.4s	4769×	body	1280	valid
1.0s	3708×	body	640	valid
340.0ms	1905×	body	320	valid
244.0ms	4411×	body	80	valid
114.0ms	952×	body	160	valid

Details

sample139.0ms

simplify70.0ms

prune2.0ms

localize9.0ms

rewrite17.0ms

series117.0ms

simplify34.0ms

prune113.0ms

localize14.0ms

rewrite32.0ms

series313.0ms

simplify68.0ms

prune247.0ms

localize14.0ms

rewrite31.0ms

series398.0ms

simplify69.0ms

prune246.0ms

localize20.0ms

rewrite40.0ms

series1.3s

simplify66.0ms

prune348.0ms

regimes256.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.5s

Profiling