Details

sample98.0ms

Algorithm

intervals

Results

41.0ms	105×	body	1280	valid
18.0ms	83×	body	640	valid
14.0ms	288×	body	80	valid
7.0ms	46×	body	320	valid
2.0ms	19×	body	160	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	5002	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite19.0ms

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:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
12.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
72.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	268	349
1	1226	295
2	5002	294

prune99.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-cbrt-cube`
8×	`add-exp-log` `associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `exp-sum` `*-commutative` `add-log-exp`
1×	`sub-neg` `exp-diff` `associate-*r/`

Counts

2 → 39

Calls

2 calls:

9.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
6.0ms	(* (* 0.5 (sin re)) (exp im))

series81.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
39.0ms	(* (* 0.5 (sin re)) (exp im))

simplify33.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	234	286
1	1039	230
2	5002	228

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 0.5 (sin re)) (exp im))
0.0b	(* (* 0.5 (sin re)) (exp im))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-cbrt-cube`
8×	`add-exp-log`
7×	`pow1`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `add-log-exp`
1×	`frac-2neg` `associate-l` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

2 → 39

Calls

2 calls:

9.0ms	(/ (* 0.5 (sin re)) (exp im))
10.0ms	(* (* 0.5 (sin re)) (exp im))

series115.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (* 0.5 (sin re)) (exp im))
60.0ms	(* (* 0.5 (sin re)) (exp im))

simplify48.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	214	272
1	1189	221
2	5001	221

prune90.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (exp im))
0.1b	(/ (exp im) (sin re))
0.3b	(/ 0.5 (/ (exp im) (sin re)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`add-exp-log`
8×	`pow1`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`associate-l` `associate-/r/` `*-commutative`

Counts

3 → 115

Calls

3 calls:

6.0ms	(* (* 0.5 (sin re)) (exp im))
4.0ms	(/ (exp im) (sin re))
6.0ms	(/ 0.5 (/ (exp im) (sin re)))

series114.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (* 0.5 (sin re)) (exp im))
32.0ms	(/ (exp im) (sin re))
42.0ms	(/ 0.5 (/ (exp im) (sin re)))

simplify58.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	481	994
1	2260	923
2	5001	920

prune425.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes96.0ms

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	14	7
1	14	7

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	3039×	body	1280	valid
580.0ms	2497×	body	640	valid
434.0ms	8740×	body	80	valid
175.0ms	1146×	body	320	valid
66.0ms	622×	body	160	valid