Details

Time bar (total: 7.9s)

sample132.0ms

Algorithm
intervals
Results
73.0ms158×body1280valid
26.0ms109×body640valid
9.0ms60×body320valid
7.0ms153×body80valid
2.0ms19×body160valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1407
2887
31417
43657
57807
610797
725957
850027

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.4b
(- (exp (- im)) (exp im))

rewrite46.0ms

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:
33.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
11.0ms
(- (exp (- im)) (exp im))

series112.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
35.0ms
(- (exp (- im)) (exp im))

simplify34.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0241393
11046330
25001329

prune132.0ms

Filtered
46 candidates to 32 candidates (69.6%)
Pruning

4 alts after pruning (4 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)))))
0.1b
(* 1/3 (pow im 3))

rewrite83.0ms

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)))
7.0ms
(* 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))

series321.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
51.0ms
(* 1/60 (pow im 5))
177.0ms
(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
34.0ms
(* 1/3 (pow im 3))

simplify77.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0526823
12684730
25003727

prune348.0ms

Filtered
111 candidates to 71 candidates (64.0%)
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 (sin re)) (- (+ (log (exp (* 1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.1b
(* 1/3 (pow im 3))
1.7b
(log (exp (* 1/3 (pow im 3))))

rewrite81.0ms

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:
6.0ms
(* 1/60 (pow im 5))
64.0ms
(* (* 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))))

series297.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 1/60 (pow im 5))
177.0ms
(* (* 0.5 (sin re)) (- (+ (log (exp (* 1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im)))))
40.0ms
(* 1/3 (pow im 3))
35.0ms
(log (exp (* 1/3 (pow im 3))))

simplify73.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0485803
12332691
25002678

prune389.0ms

Filtered
116 candidates to 73 candidates (62.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))))

rewrite99.0ms

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:
71.0ms
(* (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)))))
8.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
8.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
8.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series665.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(* (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)))))
160.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
163.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
161.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify60.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03932049
114431928
250011792

prune439.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes383.0ms

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)

IterNodesCost
03313
14213
26113
36113

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.1s4801×body1280valid
919.0ms3759×body640valid
300.0ms1900×body320valid
217.0ms4451×body80valid
97.0ms910×body160valid