Details

sample118.0ms

Algorithm

intervals

Results

52.0ms	108×	body	1280	valid
21.0ms	81×	body	640	valid
14.0ms	245×	body	80	valid
7.0ms	40×	body	320	valid
3.0ms	22×	body	160	valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	491	12
1	491	12

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

10.0ms	(+ (exp (- 0.0 im)) (exp im))
10.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (exp (- 0.0 im)) (exp im))
13.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

simplify51.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5149	444

prune62.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

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: 0b

Counts

42 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin re) (exp (- 0.0 im)))
0.0b	(+ (* (sin re) (exp (- 0.0 im))) (* (sin re) (exp im)))
0.0b	(* (sin re) (exp im))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-l`
5×	`add-exp-log` `add-log-exp`
2×	`exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

8.0ms	(* (sin re) (exp (- 0.0 im)))
8.0ms	(+ (* (sin re) (exp (- 0.0 im))) (* (sin re) (exp im)))
5.0ms	(* (sin re) (exp im))

series32.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(* (sin re) (exp (- 0.0 im)))
15.0ms	(+ (* (sin re) (exp (- 0.0 im))) (* (sin re) (exp im)))
7.0ms	(* (sin re) (exp im))

simplify57.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4999	527
1	4999	527

prune76.0ms

Filtered

44 candidates to 60 candidates (-36.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	60	3	63

Merged error: 0b

Counts

63 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp im))
0.0b	(* (sin re) (* (cbrt (exp im)) (cbrt (exp im))))
0.0b	(+ (* (sin re) (exp (- 0.0 im))) (* (* (sin re) (* (cbrt (exp im)) (cbrt (exp im)))) (cbrt (exp im))))
0.0b	(* (cbrt (exp im)) (cbrt (exp im)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`cbrt-prod`
16×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log`
9×	`associate-l`
7×	`pow1/3` `associate-r` `add-cbrt-cube`
6×	`swap-sqr` `add-log-exp`
5×	`pow-prod-down` `unswap-sqr`
4×	`prod-exp` `cbrt-unprod`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sum-log` `flip-+`

Counts

4 → 81

Calls

4 calls:

2.0ms	(cbrt (exp im))
8.0ms	(* (sin re) (* (cbrt (exp im)) (cbrt (exp im))))
10.0ms	(+ (* (sin re) (exp (- 0.0 im))) (* (* (sin re) (* (cbrt (exp im)) (cbrt (exp im)))) (cbrt (exp im))))
7.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt (exp im))
19.0ms	(* (sin re) (* (cbrt (exp im)) (cbrt (exp im))))
16.0ms	(+ (* (sin re) (exp (- 0.0 im))) (* (* (sin re) (* (cbrt (exp im)) (cbrt (exp im)))) (cbrt (exp im))))
21.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

simplify33.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4964	726
1	4964	726

prune106.0ms

Filtered

64 candidates to 93 candidates (-45.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes152.0ms

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	16	15
1	16	15

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.3s	2980×	body	1280	valid
792.0ms	2471×	body	640	valid
528.0ms	8499×	body	80	valid
222.0ms	1226×	body	320	valid
76.0ms	635×	body	160	valid

Details

sample118.0ms

simplify21.0ms

prune7.0ms

localize11.0ms

rewrite21.0ms

series17.0ms

simplify51.0ms

prune62.0ms

localize12.0ms

rewrite22.0ms

series32.0ms

simplify57.0ms

prune76.0ms

localize16.0ms

rewrite29.0ms

series71.0ms

simplify33.0ms

prune106.0ms

regimes152.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.4s

Profiling