Details

sample127.0ms

Algorithm

intervals

Results

63.0ms	144×	body	1280	valid
27.0ms	115×	body	640	valid
10.0ms	66×	body	320	valid
8.0ms	158×	body	80	valid
4.0ms	39×	body	160	valid

simplify67.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.4b	(- (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))

series122.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
40.0ms	(- (exp (- im)) (exp im))

simplify35.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (31.0ms)

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

prune125.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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)))))
0.2b	(* 1/3 (pow im 3))

rewrite80.0ms

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

series333.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
47.0ms	(* 1/60 (pow im 5))
180.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
43.0ms	(* 1/3 (pow im 3))

simplify76.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (67.0ms)

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

prune334.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

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:

10.0ms	(* (* 0.5 (sin re)) (pow im 3))
5.0ms	(* 1/60 (pow im 5))
20.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
29.0ms	(* (* (* 0.5 (sin re)) (pow im 3)) -1/3)

series516.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (* 0.5 (sin re)) (pow im 3))
46.0ms	(* 1/60 (pow im 5))
280.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
95.0ms	(* (* (* 0.5 (sin re)) (pow im 3)) -1/3)

simplify92.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	592	779
1	3139	665
2	5002	664

prune337.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-exp-log`
62×	`prod-exp`
32×	`associate-r`
30×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
17×	`cbrt-unprod`
14×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow-to-exp` `unpow-prod-down` `1-exp` `pow-exp`
6×	`associate-l` `pow-prod-down`
4×	`*-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 → 117

Calls

4 calls:

10.0ms	(* (* 0.5 (sin re)) (pow im 3))
6.0ms	(* 1/60 (pow im 5))
23.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
73.0ms	(* (* 1 (* (* 0.5 (sin re)) (pow im 3))) -1/3)

series513.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (* 0.5 (sin re)) (pow im 3))
51.0ms	(* 1/60 (pow im 5))
274.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
94.0ms	(* (* 1 (* (* 0.5 (sin re)) (pow im 3))) -1/3)

simplify93.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	687	873
1	3390	732
2	5001	731

prune332.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	15
1	57	15
2	64	15
3	64	15

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.1s	4770×	body	1280	valid
938.0ms	3797×	body	640	valid
300.0ms	1952×	body	320	valid
218.0ms	4492×	body	80	valid
107.0ms	960×	body	160	valid