Details

sample144.0ms

Algorithm

intervals

Results

68.0ms	147×	body	1280	valid
36.0ms	132×	body	640	valid
11.0ms	165×	body	80	valid
9.0ms	49×	body	320	valid
4.0ms	31×	body	160	valid

simplify71.0ms

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

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: 43.1b

Counts

2 → 1

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.1b	(- (exp (neg im)) (exp im))

rewrite18.0ms

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))

series118.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
36.0ms	(- (exp (neg im)) (exp im))

simplify37.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	241	393
1	1046	329
2	5001	328

prune124.0ms

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: 0.1b

Counts

47 → 4

localize15.0ms

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))))

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` `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 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series326.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
52.0ms	(* 1/60 (pow im 5))
36.0ms	(* -1/3 (pow im 3))
182.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify71.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (14.0ms)

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

prune268.0ms

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

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))
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)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(- (* -1/3 (pow im 3)) (* 1/60 (pow im 5)))
48.0ms	(* 1/60 (pow im 5))
43.0ms	(* -1/3 (pow im 3))
180.0ms	(* (* 0.5 (sin re)) (- (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))

simplify68.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (14.0ms)

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

prune262.0ms

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

localize20.0ms

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))))

rewrite41.0ms

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:

16.0ms	(* (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)))))
7.0ms	(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))))

series718.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (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)))))
174.0ms	(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))))
172.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify59.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

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

prune407.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	99	10	109

Merged error: 0.0b

Counts

109 → 10

regimes250.0ms

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

sample4.4s

Algorithm

intervals

Results

2.3s	4751×	body	1280	valid
1.1s	3809×	body	640	valid
350.0ms	1871×	body	320	valid
253.0ms	4485×	body	80	valid
120.0ms	956×	body	160	valid

Details

sample144.0ms

simplify71.0ms

prune3.0ms

localize16.0ms

rewrite18.0ms

series118.0ms

simplify37.0ms

prune124.0ms

localize15.0ms

rewrite31.0ms

series326.0ms

simplify71.0ms

prune268.0ms

localize16.0ms

rewrite29.0ms

series412.0ms

simplify68.0ms

prune262.0ms

localize20.0ms

rewrite41.0ms

series718.0ms

simplify59.0ms

prune407.0ms

regimes250.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.4s

Profiling