Details

sample148.0ms

Algorithm

intervals

Results

84.0ms	179×	body	1280	valid
30.0ms	110×	body	640	valid
8.0ms	156×	body	80	valid
8.0ms	45×	body	320	valid
3.0ms	23×	body	160	valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	44	7
2	99	7
3	185	7
4	318	7
5	766	7
6	1270	7
7	1742	7
8	4161	7
9	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: 57.8b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
6.1b	(- (exp (- 0.0 im)) (exp im))

rewrite21.0ms

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:

12.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
8.0ms	(- (exp (- 0.0 im)) (exp im))

series124.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
41.0ms	(- (exp (- 0.0 im)) (exp im))

simplify38.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	268	399
1	1086	344
2	5001	343

prune111.0ms

Filtered

46 candidates to 30 candidates (65.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	3	47

Merged error: 0.1b

Counts

47 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
0.0b	(* 1/60 (pow im 5))
0.1b	(* -1/3 (pow im 3))
0.1b	(* (* 0.5 (cos 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:

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

series334.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
53.0ms	(* 1/60 (pow im 5))
36.0ms	(* -1/3 (pow im 3))
182.0ms	(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify70.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	462	764
1	2138	663
2	5003	663

prune444.0ms

Filtered

106 candidates to 65 candidates (61.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	102	7	109

Merged error: 0.1b

Counts

109 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* -1/3 (pow im 3)) (* 1/60 (pow im 5)))
0.0b	(* 1/60 (pow im 5))
0.1b	(* -1/3 (pow im 3))
0.1b	(* (* 0.5 (cos re)) (- (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))

rewrite30.0ms

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

series395.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(- (* -1/3 (pow im 3)) (* 1/60 (pow im 5)))
46.0ms	(* 1/60 (pow im 5))
39.0ms	(* -1/3 (pow im 3))
176.0ms	(* (* 0.5 (cos re)) (- (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))

simplify74.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	490	737
1	2237	652
2	5001	652

prune243.0ms

Filtered

108 candidates to 66 candidates (61.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	108	7	115

Merged error: 0.1b

Counts

115 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
0.6b	(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.6b	(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.6b	(cbrt (* (* 0.5 (cos 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 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
9.0ms	(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
9.0ms	(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
10.0ms	(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

565.0ms	(* (cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
308.0ms	(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
304.0ms	(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
309.0ms	(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	436	1935
1	1733	1770
2	5001	1673

prune361.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	80	11	91

Merged error: 0.0b

Counts

91 → 11

regimes276.0ms

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	23	10
1	23	10

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.6s	5786×	body	1280	valid
966.0ms	3568×	body	640	valid
256.0ms	1450×	body	320	valid
237.0ms	4452×	body	80	valid
84.0ms	719×	body	160	valid

Details

sample148.0ms

simplify90.0ms

prune3.0ms

localize10.0ms

rewrite21.0ms

series124.0ms

simplify38.0ms

prune111.0ms

localize20.0ms

rewrite32.0ms

series334.0ms

simplify70.0ms

prune444.0ms

localize15.0ms

rewrite30.0ms

series395.0ms

simplify74.0ms

prune243.0ms

localize20.0ms

rewrite40.0ms

series1.5s

simplify70.0ms

prune361.0ms

regimes276.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.5s

Profiling