Details

sample173.0ms

Algorithm

intervals

Results

84.0ms	146×	body	1280	valid
37.0ms	108×	body	640	valid
20.0ms	68×	body	320	valid
12.0ms	132×	body	80	valid
5.0ms	30×	body	160	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
7.4b	(- (exp (- im)) (exp im))

rewrite40.0ms

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:

28.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
11.0ms	(- (exp (- im)) (exp im))

series119.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
38.0ms	(- (exp (- im)) (exp im))

simplify39.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (35.0ms)

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

prune129.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
26×	`add-sqr-sqrt`
19×	`add-exp-log`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
9×	`pow1` `prod-exp` `add-log-exp`
8×	`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` `sum-log` `*-commutative`
2×	`pow-to-exp` `distribute-neg-in` `flip3-+` `associate-*r/` `pow-exp` `flip-+` `distribute-neg-frac`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `neg-mul-1` `associate-+r+` `distribute-lft-in` `unpow3` `distribute-rgt-neg-out`

Counts

4 → 99

Calls

4 calls:

9.0ms	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
5.0ms	(* 1/60 (pow im 5))
55.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
7.0ms	(* 1/3 (pow im 3))

series324.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
46.0ms	(* 1/60 (pow im 5))
178.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
40.0ms	(* 1/3 (pow im 3))

simplify82.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	526	823
1	2684	730
2	5003	727

prune351.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-exp-log`
32×	`associate-r`
31×	`prod-exp`
25×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`cbrt-unprod`
11×	`pow1`
7×	`unpow-prod-down`
6×	`associate-l`
5×	`pow-to-exp` `pow-exp`
4×	`pow-prod-down` `*-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `cube-prod` `unswap-sqr` `sqr-pow`
2×	`distribute-neg-in` `associate-*r/` `distribute-neg-frac`
1×	`distribute-rgt-in` `cube-mult` `neg-mul-1` `distribute-lft-in` `flip3-+` `unpow3` `distribute-rgt-neg-out` `flip-+`

Counts

4 → 107

Calls

4 calls:

5.0ms	(* 1/60 (pow im 5))
10.0ms	(* (* 0.5 (sin re)) (pow im 3))
25.0ms	(* (* (* 0.5 (sin re)) (pow im 3)) -1/3)
24.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))

series517.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* 1/60 (pow im 5))
93.0ms	(* (* 0.5 (sin re)) (pow im 3))
99.0ms	(* (* (* 0.5 (sin re)) (pow im 3)) -1/3)
276.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify98.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	592	779
1	3136	665
2	5002	662

prune355.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (sin re)) (- (+ (log (exp (* 1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.1b	(* 1/3 (pow im 3))
3.1b	(log (exp (* 1/3 (pow im 3))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

9.0ms	(* 1/60 (pow im 5))
56.0ms	(* (* 0.5 (sin re)) (- (+ (log (exp (* 1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im)))))
7.0ms	(* 1/3 (pow im 3))
1.0ms	(log (exp (* 1/3 (pow im 3))))

series303.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* 1/60 (pow im 5))
179.0ms	(* (* 0.5 (sin re)) (- (+ (log (exp (* 1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im)))))
41.0ms	(* 1/3 (pow im 3))
36.0ms	(log (exp (* 1/3 (pow im 3))))

simplify73.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	485	792
1	2332	685
2	5002	672

prune361.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

regimes334.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	14
1	50	14
2	57	14
3	57	14

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.6s	4677×	body	1280	valid
1.3s	3799×	body	640	valid
455.0ms	1883×	body	320	valid
427.0ms	4354×	body	80	valid
160.0ms	915×	body	160	valid