Details

Time bar (total: 8.2s)

sample130.0ms

Algorithm
intervals
Results
61.0ms144×body1280valid
34.0ms142×body640valid
10.0ms66×body320valid
7.0ms136×body80valid
3.0ms27×body160valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1407
2887
31417
43657
57807
610797
725957
850027

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.4b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.2b
(- (exp (- im)) (exp im))

rewrite18.0ms

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:
10.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.0ms
(- (exp (- im)) (exp im))

series114.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
34.0ms
(- (exp (- im)) (exp im))

simplify34.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0241393
11046330
25001329

prune121.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/60 (pow im 5)) (* 2 im))
0.0b
(* 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))

rewrite30.0ms

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
8×unpow-prod-down
7×associate-*l* unswap-sqr
6×add-log-exp
5×cbrt-unprod
4×cube-prod sqr-pow
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down *-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 distribute-lft-in unpow3 sum-log distribute-rgt-neg-out
Counts
4 → 97
Calls
4 calls:
4.0ms
(+ (* 1/60 (pow im 5)) (* 2 im))
5.0ms
(* 1/60 (pow im 5))
12.0ms
(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
6.0ms
(* 1/3 (pow im 3))

series395.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(+ (* 1/60 (pow im 5)) (* 2 im))
45.0ms
(* 1/60 (pow im 5))
184.0ms
(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
35.0ms
(* 1/3 (pow im 3))

simplify76.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0533736
12612661
25002658

prune327.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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))))

rewrite33.0ms

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))
7.0ms
(* (* 0.5 (sin re)) (pow im 3))
8.0ms
(* (* (* 0.5 (sin re)) (pow im 3)) -1/3)
9.0ms
(* (* 0.5 (sin re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))

series516.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* 1/60 (pow im 5))
94.0ms
(* (* 0.5 (sin re)) (pow im 3))
92.0ms
(* (* (* 0.5 (sin re)) (pow im 3)) -1/3)
278.0ms
(* (* 0.5 (sin re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify94.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
0592779
13136665
25002662

prune333.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (* 1/60 (pow im 5))) (cbrt (* 1/60 (pow im 5))))
26.3b
(cbrt (* 1/60 (pow im 5)))
26.3b
(cbrt (* 1/60 (pow im 5)))
26.3b
(cbrt (* 1/60 (pow im 5)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
6.0ms
(* (cbrt (* 1/60 (pow im 5))) (cbrt (* 1/60 (pow im 5))))
3.0ms
(cbrt (* 1/60 (pow im 5)))
3.0ms
(cbrt (* 1/60 (pow im 5)))
3.0ms
(cbrt (* 1/60 (pow im 5)))

series1.2s

Counts
4 → 12
Calls
4 calls:
438.0ms
(* (cbrt (* 1/60 (pow im 5))) (cbrt (* 1/60 (pow im 5))))
245.0ms
(cbrt (* 1/60 (pow im 5)))
235.0ms
(cbrt (* 1/60 (pow im 5)))
238.0ms
(cbrt (* 1/60 (pow im 5)))

simplify69.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0119384
1433326
22030296
35002291

prune271.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

regimes169.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04142
15842
27142
37342
47342

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.2s4806×body1280valid
967.0ms3833×body640valid
321.0ms1894×body320valid
223.0ms4534×body80valid
117.0ms994×body160valid