Details

sample145.0ms

Algorithm

intervals

Results

78.0ms	180×	body	1280	valid
32.0ms	119×	body	640	valid
8.0ms	160×	body	80	valid
8.0ms	43×	body	320	valid
3.0ms	22×	body	160	valid

simplify91.0ms

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: 56.7b

Counts

2 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.1b	(- (exp (- 0.0 im)) (exp im))

rewrite20.0ms

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)))
7.0ms	(- (exp (- 0.0 im)) (exp im))

series118.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
36.0ms	(- (exp (- 0.0 im)) (exp im))

simplify41.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (35.0ms)

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

prune125.0ms

Filtered

46 candidates to 30 candidates (65.2%)

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: 0.1b

Counts

47 → 4

localize16.0ms

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

rewrite37.0ms

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

series333.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
54.0ms	(* 1/60 (pow im 5))
184.0ms	(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
37.0ms	(* -1/3 (pow im 3))

simplify79.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (16.0ms)

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

prune277.0ms

Filtered

106 candidates to 65 candidates (61.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	100	10	110

Merged error: 0.0b

Counts

110 → 10

localize16.0ms

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

rewrite29.0ms

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

series407.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(- (* -1/3 (pow im 3)) (* 1/60 (pow im 5)))
52.0ms	(* 1/60 (pow im 5))
179.0ms	(* (* 0.5 (cos re)) (- (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))
37.0ms	(* -1/3 (pow im 3))

simplify74.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	490	749
1	2231	658
2	5001	658

prune271.0ms

Filtered

108 candidates to 66 candidates (61.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	108	10	118

Merged error: 0.0b

Counts

118 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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))))

rewrite39.0ms

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

series731.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (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)))))
175.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
175.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
179.0ms	(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

prune429.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	97	12	109

Merged error: 0.0b

Counts

109 → 12

regimes311.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.6s	5730×	body	1280	valid
992.0ms	3603×	body	640	valid
267.0ms	1460×	body	320	valid
242.0ms	4383×	body	80	valid
87.0ms	699×	body	160	valid

Details

sample145.0ms

simplify91.0ms

prune3.0ms

localize15.0ms

rewrite20.0ms

series118.0ms

simplify41.0ms

prune125.0ms

localize16.0ms

rewrite37.0ms

series333.0ms

simplify79.0ms

prune277.0ms

localize16.0ms

rewrite29.0ms

series407.0ms

simplify74.0ms

prune271.0ms

localize21.0ms

rewrite39.0ms

series731.0ms

simplify61.0ms

prune429.0ms

regimes311.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.6s

Profiling