Details

sample181.0ms

Algorithm

intervals

Results

101.0ms	176×	body	1280	valid
35.0ms	102×	body	640	valid
13.0ms	51×	body	320	valid
12.0ms	129×	body	80	valid
5.0ms	26×	body	160	valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	44	7
2	99	7
3	185	7
4	318	7
5	766	7
6	1270	7
7	1801	7
8	4743	7
9	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 56.9b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

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:

56.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
25.0ms	(- (exp (- 0.0 im)) (exp im))

series121.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
40.0ms	(- (exp (- 0.0 im)) (exp im))

simplify37.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	268	399
1	1086	345
2	5001	344

prune128.0ms

Pruning

5 alts after pruning (5 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 (cos 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 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
7.0ms	(* 1/3 (pow im 3))

series336.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
49.0ms	(* 1/60 (pow im 5))
182.0ms	(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
42.0ms	(* 1/3 (pow im 3))

simplify82.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	541	841
1	2754	743
2	5002	740

prune342.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (cos 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))))

rewrite75.0ms

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:

5.0ms	(* 1/60 (pow im 5))
59.0ms	(* (* 0.5 (cos re)) (- (+ (log (exp (* 1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im)))))
6.0ms	(* 1/3 (pow im 3))
1.0ms	(log (exp (* 1/3 (pow im 3))))

series309.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* 1/60 (pow im 5))
178.0ms	(* (* 0.5 (cos re)) (- (+ (log (exp (* 1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im)))))
36.0ms	(* 1/3 (pow im 3))
41.0ms	(log (exp (* 1/3 (pow im 3))))

simplify69.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	500	798
1	2407	691
2	5003	678

prune393.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 0.5 (cos re)) (- (+ (log (exp (* 1/3 (pow im 3)))) (+ (log (exp (* 1/60 (pow im 5)))) (* 2 im)))))
0.1b	(* 1/3 (pow im 3))
2.0b	(log (exp (* 1/60 (pow im 5))))
3.1b	(log (exp (* 1/3 (pow im 3))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

71.0ms	(* (* 0.5 (cos re)) (- (+ (log (exp (* 1/3 (pow im 3)))) (+ (log (exp (* 1/60 (pow im 5)))) (* 2 im)))))
6.0ms	(* 1/3 (pow im 3))
1.0ms	(log (exp (* 1/60 (pow im 5))))
1.0ms	(log (exp (* 1/3 (pow im 3))))

series303.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (* 0.5 (cos re)) (- (+ (log (exp (* 1/3 (pow im 3)))) (+ (log (exp (* 1/60 (pow im 5)))) (* 2 im)))))
36.0ms	(* 1/3 (pow im 3))
52.0ms	(log (exp (* 1/60 (pow im 5))))
37.0ms	(log (exp (* 1/3 (pow im 3))))

simplify67.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	438	851
1	2095	709
2	5001	684

prune364.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	15
1	44	15
2	57	15
3	57	15

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.1s	5642×	body	1280	valid
1.2s	3539×	body	640	valid
400.0ms	4262×	body	80	valid
382.0ms	1506×	body	320	valid
116.0ms	686×	body	160	valid