Details

Time bar (total: 5.6s)

sample88.0ms

Algorithm
intervals
Results
39.0ms101×body1280valid
15.0ms283×body80valid
14.0ms69×body640valid
4.0ms31×body320valid
2.0ms15×body160valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0237
1587
2957
32097
44597
56297
614157
721487
850027

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
4×associate-*r* add-log-exp
3×add-sqr-sqrt add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in associate-*l* sum-log *-commutative
Counts
2 → 35
Calls
2 calls:
8.0ms
(+ (exp (- im)) (exp im))
26.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (exp (- im)) (exp im))
62.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify37.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0249347
11229286
25001284

prune96.0ms

Filtered
41 candidates to 28 candidates (68.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp (- im)) (exp im))
0.0b
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
0.3b
(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
0.3b
(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log add-cbrt-cube
11×*-un-lft-identity
8×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt
6×associate-*r/ pow-prod-down prod-exp cbrt-unprod add-log-exp
4×cube-div flip3-+ associate-*r* flip-+
3×pow-unpow pow-pow pow-exp rem-cube-cbrt
2×cube-mult unpow-prod-down cbrt-div unpow3 cube-prod distribute-lft-out sqr-pow
1×+-commutative distribute-rgt-in pow-to-exp distribute-lft-in pow1/3 associate-*l* sum-log *-commutative rem-cbrt-cube
Counts
4 → 81
Calls
4 calls:
8.0ms
(+ (exp (- im)) (exp im))
26.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
3.0ms
(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
18.0ms
(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

series241.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (exp (- im)) (exp im))
57.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
62.0ms
(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
94.0ms
(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

simplify68.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0383817
11992768
25001767

prune244.0ms

Filtered
93 candidates to 60 candidates (64.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp im) 3)
0.3b
(cbrt (pow (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) 3))
0.3b
(pow (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) 3)
5.4b
(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
80×associate-/r/
72×frac-add
60×cbrt-prod
57×unpow-prod-down cube-prod
56×exp-neg
48×neg-sub0 exp-diff
37×flip3-- flip--
32×frac-times
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-*r/ associate-*l/
15×add-cbrt-cube
14×add-exp-log
12×times-frac
8×un-div-inv
6×pow1 pow-unpow add-log-exp
5×pow-pow pow-exp rem-cube-cbrt
4×flip3-+ flip-+ div-inv
3×cbrt-undiv cube-mult exp-prod unpow3 div-exp prod-exp cbrt-unprod sqr-pow
2×cube-div pow-to-exp
1×sub-neg cbrt-div distribute-rgt-out-- pow1/3 diff-log rem-cbrt-cube
Counts
4 → 187
Calls
4 calls:
2.0ms
(pow (exp im) 3)
85.0ms
(cbrt (pow (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) 3))
112.0ms
(pow (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) 3)
7.0ms
(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series595.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(pow (exp im) 3)
219.0ms
(cbrt (pow (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) 3))
304.0ms
(pow (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) 3)
47.0ms
(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify215.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
011407761
149426314
250016312

prune515.0ms

Filtered
199 candidates to 87 candidates (43.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes168.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1137

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.2s3092×body1280valid
713.0ms2400×body640valid
381.0ms8517×body80valid
180.0ms1234×body320valid
55.0ms583×body160valid