Details

sample112.0ms

Algorithm

intervals

Results

40.0ms	92×	body	1280	valid
22.0ms	291×	body	80	valid
22.0ms	88×	body	640	valid
9.0ms	46×	body	320	valid
3.0ms	23×	body	160	valid

simplify70.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

55.0ms

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

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	234	248
1	1124	203
2	5001	203

prune55.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

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))

rewrite37.0ms

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:

27.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
9.0ms	(* (* 0.5 (sin re)) (exp im))

series84.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
39.0ms	(* (* 0.5 (sin re)) (exp im))

simplify36.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (32.0ms)

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

prune97.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp (- 0.0 im)))
0.0b	(cbrt (exp (- 0.0 im)))
0.0b	(cbrt (exp (- 0.0 im)))
0.0b	(* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`exp-sum`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
10×	`swap-sqr`
9×	`sub-neg` `pow1/3`
8×	`associate-r` `associate-l`
7×	`cbrt-div` `exp-diff`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

7.0ms	(cbrt (exp (- 0.0 im)))
7.0ms	(cbrt (exp (- 0.0 im)))
7.0ms	(cbrt (exp (- 0.0 im)))
22.0ms	(* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im))))

series347.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (exp (- 0.0 im)))
85.0ms	(cbrt (exp (- 0.0 im)))
78.0ms	(cbrt (exp (- 0.0 im)))
95.0ms	(* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im))))

simplify74.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	151	709
1	475	658
2	2292	608
3	5002	603

prune292.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes65.0ms

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	10
1	16	10

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.3s	3005×	body	1280	valid
689.0ms	8716×	body	80	valid
682.0ms	2556×	body	640	valid
227.0ms	1198×	body	320	valid
83.0ms	635×	body	160	valid