Details

Time bar (total: 8.7s)

sample136.0ms

Algorithm
intervals
Results
66.0ms149×body1280valid
32.0ms133×body640valid
9.0ms59×body320valid
7.0ms142×body80valid
4.0ms38×body160valid

simplify77.0ms

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: 44.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
7.1b
(- (exp (- im)) (exp im))

rewrite84.0ms

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:
62.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
21.0ms
(- (exp (- im)) (exp im))

series120.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
39.0ms
(- (exp (- im)) (exp im))

simplify39.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0241393
11046330
25001329

prune115.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

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:
21.0ms
(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
11.0ms
(* 1/60 (pow im 5))
109.0ms
(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
12.0ms
(* 1/3 (pow im 3))

series318.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
50.0ms
(* 1/60 (pow im 5))
176.0ms
(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
37.0ms
(* 1/3 (pow im 3))

simplify90.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
0526823
12684730
25003727

prune321.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* 1/60 (pow im 5))) (cbrt (* 1/60 (pow im 5))))
25.8b
(cbrt (* 1/60 (pow im 5)))
25.8b
(cbrt (* 1/60 (pow im 5)))
25.8b
(cbrt (* 1/60 (pow im 5)))

rewrite33.0ms

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:
18.0ms
(* (cbrt (* 1/60 (pow im 5))) (cbrt (* 1/60 (pow im 5))))
5.0ms
(cbrt (* 1/60 (pow im 5)))
4.0ms
(cbrt (* 1/60 (pow im 5)))
5.0ms
(cbrt (* 1/60 (pow im 5)))

series985.0ms

Counts
4 → 12
Calls
4 calls:
280.0ms
(* (cbrt (* 1/60 (pow im 5))) (cbrt (* 1/60 (pow im 5))))
234.0ms
(cbrt (* 1/60 (pow im 5)))
234.0ms
(cbrt (* 1/60 (pow im 5)))
237.0ms
(cbrt (* 1/60 (pow im 5)))

simplify74.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0119384
1433326
22030296
35002291

prune284.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.6b
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.6b
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.6b
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
130.0ms
(* (cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
18.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
15.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
16.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series649.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
159.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
153.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
158.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify70.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
03932049
114431928
250011792

prune460.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.3b

regimes353.0ms

Accuracy

0% (0.7b 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
03520
15020
26920
37120
47120

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.1s4774×body1280valid
939.0ms3841×body640valid
298.0ms1884×body320valid
226.0ms4501×body80valid
97.0ms975×body160valid