Details

sample90.0ms

Algorithm

intervals

Results

36.0ms	97×	body	1280	valid
17.0ms	79×	body	640	valid
13.0ms	272×	body	80	valid
7.0ms	48×	body	320	valid
2.0ms	19×	body	160	valid

simplify71.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

10.0ms	(+ (exp (- 0.0 im)) (exp im))
18.0ms	(* (* 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))
71.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	277	376
1	1271	319
2	5001	317

prune164.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 0.5 (sin re)) (fma (* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im)))) (cbrt (exp (- 0.0 im))) (exp im)))
0.3b	(cbrt (exp (- 0.0 im)))
0.3b	(cbrt (exp (- 0.0 im)))
0.3b	(cbrt (exp (- 0.0 im)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
33×	`exp-sum`
27×	`prod-diff`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sub-neg` `cbrt-div` `exp-diff` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 97

Calls

4 calls:

5.0ms	(* (* 0.5 (sin re)) (fma (* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im)))) (cbrt (exp (- 0.0 im))) (exp im)))
8.0ms	(cbrt (exp (- 0.0 im)))
5.0ms	(cbrt (exp (- 0.0 im)))
5.0ms	(cbrt (exp (- 0.0 im)))

series565.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (* 0.5 (sin re)) (fma (* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im)))) (cbrt (exp (- 0.0 im))) (exp im)))
81.0ms	(cbrt (exp (- 0.0 im)))
214.0ms	(cbrt (exp (- 0.0 im)))
90.0ms	(cbrt (exp (- 0.0 im)))

simplify41.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	323	1195
1	1142	887
2	5001	737

prune325.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))
0.0b	(fma (pow im 4) 1/12 (fma im im 2))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 32

Calls

2 calls:

5.0ms	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))
1.0ms	(fma (pow im 4) 1/12 (fma im im 2))

series166.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))
40.0ms	(fma (pow im 4) 1/12 (fma im im 2))

simplify32.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	193	281
1	939	234
2	5001	234

prune97.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* 0.5 (sin re)) (* (cbrt (fma (pow im 4) 1/12 (fma im im 2))) (cbrt (fma (pow im 4) 1/12 (fma im im 2)))))
1.0b	(cbrt (fma (pow im 4) 1/12 (fma im im 2)))
1.0b	(cbrt (fma (pow im 4) 1/12 (fma im im 2)))
1.0b	(cbrt (fma (pow im 4) 1/12 (fma im im 2)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 63

Calls

4 calls:

9.0ms	(* (* 0.5 (sin re)) (* (cbrt (fma (pow im 4) 1/12 (fma im im 2))) (cbrt (fma (pow im 4) 1/12 (fma im im 2)))))
1.0ms	(cbrt (fma (pow im 4) 1/12 (fma im im 2)))
1.0ms	(cbrt (fma (pow im 4) 1/12 (fma im im 2)))
1.0ms	(cbrt (fma (pow im 4) 1/12 (fma im im 2)))

series670.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(* (* 0.5 (sin re)) (* (cbrt (fma (pow im 4) 1/12 (fma im im 2))) (cbrt (fma (pow im 4) 1/12 (fma im im 2)))))
142.0ms	(cbrt (fma (pow im 4) 1/12 (fma im im 2)))
137.0ms	(cbrt (fma (pow im 4) 1/12 (fma im im 2)))
138.0ms	(cbrt (fma (pow im 4) 1/12 (fma im im 2)))

simplify46.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	341	902
1	1274	777
2	5001	750

prune258.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes97.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
1	15	15

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	3005×	body	1280	valid
586.0ms	2553×	body	640	valid
422.0ms	8579×	body	80	valid
198.0ms	1259×	body	320	valid
71.0ms	665×	body	160	valid