Details

sample92.0ms

Algorithm

intervals

Results

35.0ms	96×	body	1280	valid
18.0ms	79×	body	640	valid
14.0ms	287×	body	80	valid
5.0ms	34×	body	320	valid
2.0ms	25×	body	160	valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	64	7
2	126	7
3	212	7
4	323	7
5	864	7
6	1202	7
7	1800	7
8	4421	7
9	5001	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite137.0ms

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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

135.0ms

(* (* 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)))

simplify35.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	238	265
1	1157	219
2	5002	218

prune80.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

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))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-r`
13×	`pow1` `add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `exp-sum`
9×	`add-exp-log` `prod-diff`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`+-commutative` `sub-neg` `fma-def` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 67

Calls

3 calls:

62.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
212.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
25.0ms	(* (* 0.5 (sin re)) (exp im))

series177.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
44.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
41.0ms	(* (* 0.5 (sin re)) (exp im))

simplify61.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	436	617
1	2003	504
2	5001	499

prune186.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube`
10×	`add-exp-log`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`fma-def`
6×	`times-frac` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-r` `pow-prod-down` `associate-/r*` `log1p-expm1-u`
2×	`div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `associate-/l`

Counts

3 → 65

Calls

3 calls:

39.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
30.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
25.0ms	(* (* 0.5 (sin re)) (exp im))

series264.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
89.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
39.0ms	(* (* 0.5 (sin re)) (exp im))

simplify64.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	401	623
1	2229	522
2	5002	516

prune198.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
13×	`pow1` `add-cbrt-cube`
11×	`add-exp-log`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-log-exp`
6×	`exp-prod` `log-pow` `distribute-lft-out`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-def` `times-frac` `div-exp` `pow-prod-down` `associate-/r*` `cbrt-unprod`
2×	`log-prod` `rem-log-exp` `sum-log` `rem-exp-log`
1×	`+-commutative` `associate-+r+` `frac-2neg` `flip3-+` `exp-sum` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 77

Calls

4 calls:

18.0ms	(+ im (log (* 0.5 (sin re))))
29.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
8.0ms	(log (* 0.5 (sin re)))
51.0ms	(exp (+ im (log (* 0.5 (sin re)))))

series294.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ im (log (* 0.5 (sin re))))
91.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
103.0ms	(log (* 0.5 (sin re)))
50.0ms	(exp (+ im (log (* 0.5 (sin re)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	399	530
1	1756	454
2	5001	452

prune234.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes70.0ms

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

sample2.9s

Algorithm

intervals

Results

1.2s	2969×	body	1280	valid
572.0ms	2541×	body	640	valid
423.0ms	8617×	body	80	valid
184.0ms	1210×	body	320	valid
65.0ms	638×	body	160	valid