Details

sample90.0ms

Algorithm

intervals

Results

35.0ms	96×	body	1280	valid
17.0ms	79×	body	640	valid
13.0ms	287×	body	80	valid
5.0ms	34×	body	320	valid
2.0ms	25×	body	160	valid

simplify68.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite112.0ms

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:

111.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (7.0ms)

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

prune52.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
0.0b	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
0.2b	(* (* 0.5 (sin re)) (exp im))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

56.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
59.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
26.0ms	(* (* 0.5 (sin re)) (exp im))

series174.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
44.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
38.0ms	(* (* 0.5 (sin re)) (exp im))

simplify52.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	328	481
1	1554	400
2	5002	395

prune134.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
0.0b	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
0.2b	(* (* 0.5 (sin re)) (exp im))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube`
10×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-r` `pow-prod-down` `associate-/r*`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

3 → 52

Calls

3 calls:

35.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
26.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
25.0ms	(* (* 0.5 (sin re)) (exp im))

series298.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
104.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
37.0ms	(* (* 0.5 (sin re)) (exp im))

simplify63.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	385	578
1	2136	482
2	5001	479

prune155.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ im (log (* 0.5 (sin re))))
0.0b	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
0.1b	(log (* 0.5 (sin re)))
1.7b	(exp (+ im (log (* 0.5 (sin re)))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1`
14×	`*-un-lft-identity`
10×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `exp-prod` `pow-prod-down` `log-pow` `distribute-lft-out`
5×	`associate-r`
4×	`prod-exp`
3×	`exp-sum` `cbrt-unprod`
2×	`log-prod` `rem-log-exp` `sum-log` `rem-exp-log`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3-+` `exp-diff` `associate-r/` `associate-l` `-commutative` `flip-+`

Counts

4 → 64

Calls

4 calls:

16.0ms	(+ im (log (* 0.5 (sin re))))
57.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
6.0ms	(log (* 0.5 (sin re)))
47.0ms	(exp (+ im (log (* 0.5 (sin re)))))

series247.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ im (log (* 0.5 (sin re))))
44.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
99.0ms	(log (* 0.5 (sin re)))
49.0ms	(exp (+ im (log (* 0.5 (sin re)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	313	427
1	1250	374
2	5001	372

prune163.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes64.0ms

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	11
1	16	11

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	2969×	body	1280	valid
560.0ms	2541×	body	640	valid
390.0ms	8617×	body	80	valid
174.0ms	1210×	body	320	valid
61.0ms	638×	body	160	valid