Details

sample88.0ms

Algorithm

intervals

Results

35.0ms	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

simplify67.0ms

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: 0.3b

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)))

rewrite79.0ms

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:

20.0ms	(+ (exp (- 0.0 im)) (exp im))
59.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (exp (- 0.0 im)) (exp im))
66.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify55.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (47.0ms)

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

prune150.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
0.0b	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
0.1b	(* 1/12 (pow im 4))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log`
12×	`add-sqr-sqrt`
10×	`associate-r` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`prod-exp`
4×	`unpow-prod-down` `associate-l` `cbrt-unprod`
3×	`pow-prod-down` `sum-log` `unswap-sqr`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `associate-+r+` `distribute-lft-in` `pow-exp`

Counts

3 → 60

Calls

3 calls:

18.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
52.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
7.0ms	(* 1/12 (pow im 4))

series192.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
119.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
35.0ms	(* 1/12 (pow im 4))

simplify56.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	365	506
1	1891	441
2	5001	438

prune167.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (pow im 4)) (cbrt (pow im 4)))
29.5b	(cbrt (pow im 4))
29.5b	(cbrt (pow im 4))
29.5b	(cbrt (pow im 4))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

14.0ms	(* (cbrt (pow im 4)) (cbrt (pow im 4)))
1.0ms	(cbrt (pow im 4))
1.0ms	(cbrt (pow im 4))
1.0ms	(cbrt (pow im 4))

series752.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt (pow im 4)) (cbrt (pow im 4)))
180.0ms	(cbrt (pow im 4))
188.0ms	(cbrt (pow im 4))
182.0ms	(cbrt (pow im 4))

simplify91.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	157	727
1	535	690
2	2639	618
3	5001	614

prune382.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sqrt (cbrt (pow im 4))) 4)
15.7b	(sqrt (cbrt (pow im 4)))
29.5b	(cbrt (pow im 4))
29.5b	(cbrt (pow im 4))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-prod`
26×	`unpow-prod-down`
20×	`sqrt-prod`
19×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`sqr-pow`
5×	`add-exp-log`
4×	`rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/2`
1×	`pow-to-exp` `pow-exp` `sqrt-pow2`

Counts

4 → 85

Calls

4 calls:

5.0ms	(pow (sqrt (cbrt (pow im 4))) 4)
3.0ms	(sqrt (cbrt (pow im 4)))
1.0ms	(cbrt (pow im 4))
1.0ms	(cbrt (pow im 4))

series793.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(pow (sqrt (cbrt (pow im 4))) 4)
181.0ms	(sqrt (cbrt (pow im 4)))
205.0ms	(cbrt (pow im 4))
185.0ms	(cbrt (pow im 4))

simplify152.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 3 (140.0ms)

Iter	Nodes	Cost
0	194	465
1	655	418
2	3149	374
3	5001	366

prune386.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes148.0ms

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	3005×	body	1280	valid
581.0ms	2553×	body	640	valid
407.0ms	8579×	body	80	valid
187.0ms	1259×	body	320	valid
67.0ms	665×	body	160	valid