Details

sample104.0ms

Algorithm

intervals

Results

40.0ms	97×	body	1280	valid
20.0ms	81×	body	640	valid
19.0ms	269×	body	80	valid
5.0ms	30×	body	320	valid
2.0ms	22×	body	160	valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	596	7
6	1198	7
7	1931	7
8	5001	7

prune3.0ms

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (neg im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 35

Calls

2 calls:

5.0ms	(+ (exp (neg im)) (exp im))
9.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (exp (neg im)) (exp im))
14.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	248	347
1	1228	286
2	5001	284

prune47.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0.0b

Counts

42 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))))
0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))

rewrite34.0ms

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:

10.0ms	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))))
7.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
7.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
8.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))

series141.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))))
32.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
30.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
31.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	309	1303
1	1209	1166
2	5001	1094

prune149.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 0.5 (cos re)) (* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im)))))
1.0b	(cbrt (+ (exp (neg im)) (exp im)))
1.0b	(cbrt (+ (exp (neg im)) (exp im)))
1.0b	(cbrt (+ (exp (neg im)) (exp im)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
13×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

20.0ms	(* (* 0.5 (cos re)) (* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im)))))
5.0ms	(cbrt (+ (exp (neg im)) (exp im)))
5.0ms	(cbrt (+ (exp (neg im)) (exp im)))
5.0ms	(cbrt (+ (exp (neg im)) (exp im)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* 0.5 (cos re)) (* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im)))))
22.0ms	(cbrt (+ (exp (neg im)) (exp im)))
22.0ms	(cbrt (+ (exp (neg im)) (exp im)))
22.0ms	(cbrt (+ (exp (neg im)) (exp im)))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	348	1055
1	1345	890
2	5001	843

prune91.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	85	2	87

Merged error: 0b

Counts

87 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (pow (* 0.5 (cos re)) 3) (pow (+ (exp im) (exp (neg im))) 2))) (cbrt (+ (exp (neg im)) (exp im))))
0.3b	(cbrt (* (pow (* 0.5 (cos re)) 3) (pow (+ (exp im) (exp (neg im))) 2)))
0.4b	(pow (* 0.5 (cos re)) 3)
1.0b	(cbrt (+ (exp (neg im)) (exp im)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`cbrt-prod`
9×	`pow1` `add-exp-log` `add-cube-cbrt`
7×	`associate-r` `add-cbrt-cube`
4×	`cbrt-div` `pow1/3` `associate-l` `add-log-exp`
3×	`pow-unpow` `pow-prod-down`
2×	`pow-pow` `flip3-+` `associate-*r/` `pow-exp` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `*-commutative` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (* (pow (* 0.5 (cos re)) 3) (pow (+ (exp im) (exp (neg im))) 2))) (cbrt (+ (exp (neg im)) (exp im))))
8.0ms	(cbrt (* (pow (* 0.5 (cos re)) 3) (pow (+ (exp im) (exp (neg im))) 2)))
4.0ms	(pow (* 0.5 (cos re)) 3)
5.0ms	(cbrt (+ (exp (neg im)) (exp im)))

series73.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (cbrt (* (pow (* 0.5 (cos re)) 3) (pow (+ (exp im) (exp (neg im))) 2))) (cbrt (+ (exp (neg im)) (exp im))))
31.0ms	(cbrt (* (pow (* 0.5 (cos re)) 3) (pow (+ (exp im) (exp (neg im))) 2)))
6.0ms	(pow (* 0.5 (cos re)) 3)
22.0ms	(cbrt (+ (exp (neg im)) (exp im)))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	360	937
1	1379	850
2	5002	830

prune131.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Merged error: 0b

Counts

86 → 2

regimes233.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.3s	3050×	body	1280	valid
607.0ms	2436×	body	640	valid
469.0ms	8522×	body	80	valid
206.0ms	1228×	body	320	valid
73.0ms	622×	body	160	valid

Details

sample104.0ms

simplify67.0ms

prune3.0ms

localize10.0ms

rewrite15.0ms

series17.0ms

simplify37.0ms

prune47.0ms

localize14.0ms

rewrite34.0ms

series141.0ms

simplify44.0ms

prune149.0ms

localize14.0ms

rewrite37.0ms

series99.0ms

simplify44.0ms

prune91.0ms

localize21.0ms

rewrite29.0ms

series73.0ms

simplify44.0ms

prune131.0ms

regimes233.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.1s

Profiling