Details

sample138.0ms

Algorithm

intervals

Results

71.0ms	166×	body	1280	valid
33.0ms	141×	body	640	valid
8.0ms	54×	body	320	valid
7.0ms	148×	body	80	valid
3.0ms	31×	body	160	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	40	7
2	88	7
3	141	7
4	365	7
5	780	7
6	1079	7
7	2595	7
8	5002	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.1b	(- (exp (- im)) (exp im))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 40

Calls

2 calls:

36.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
12.0ms	(- (exp (- im)) (exp im))

series123.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
37.0ms	(- (exp (- im)) (exp im))

simplify34.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	241	393
1	1046	330
2	5001	329

prune122.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/60 (pow im 5))
0.1b	(* 1/3 (pow im 3))
0.1b	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
25×	`add-sqr-sqrt`
18×	`add-exp-log`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-cbrt-cube`
9×	`prod-exp`
8×	`pow1` `unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `*-commutative` `add-log-exp`
2×	`pow-to-exp` `distribute-neg-in` `associate-*r/` `pow-exp` `distribute-neg-frac`
1×	`distribute-rgt-in` `cube-mult` `neg-mul-1` `distribute-lft-in` `flip3-+` `unpow3` `distribute-rgt-neg-out` `flip-+`

Counts

3 → 86

Calls

3 calls:

8.0ms	(* 1/60 (pow im 5))
7.0ms	(* 1/3 (pow im 3))
54.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

series281.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* 1/60 (pow im 5))
37.0ms	(* 1/3 (pow im 3))
189.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	474	653
1	2365	577
2	5002	574

prune281.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.008333333333333333 (* (sin re) (pow im 5)))
0.0b	(* (sin re) (pow im 3))
0.1b	(* 0.16666666666666666 (* (sin re) (pow im 3)))
0.1b	(* (sin re) im)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
21×	`add-sqr-sqrt`
18×	`prod-exp` `add-cbrt-cube`
17×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
10×	`pow1`
8×	`cbrt-unprod`
5×	`unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `*-commutative` `add-log-exp`
3×	`pow-to-exp` `pow-prod-down` `pow-exp`
2×	`sqr-pow`
1×	`cube-mult` `unpow3`

Counts

4 → 87

Calls

4 calls:

9.0ms	(* 0.008333333333333333 (* (sin re) (pow im 5)))
7.0ms	(* (sin re) (pow im 3))
10.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
4.0ms	(* (sin re) im)

series367.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* 0.008333333333333333 (* (sin re) (pow im 5)))
88.0ms	(* (sin re) (pow im 3))
97.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
37.0ms	(* (sin re) im)

simplify57.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	355	497
1	1565	414
2	5002	414

prune303.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin re)) (cbrt (sin re)))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))

series608.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
101.0ms	(cbrt (sin re))
110.0ms	(cbrt (sin re))
102.0ms	(cbrt (sin re))

simplify96.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	154	453
1	551	401
2	3082	369
3	5002	363

prune302.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes271.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	14
1	41	14
2	59	14
3	69	14
4	69	14

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.1s	4888×	body	1280	valid
935.0ms	3825×	body	640	valid
300.0ms	1846×	body	320	valid
220.0ms	4415×	body	80	valid
107.0ms	941×	body	160	valid