Details

Time bar (total: 8.9s)

sample104.0ms

Algorithm
intervals
Results
42.0ms106×body1280valid
21.0ms83×body640valid
18.0ms270×body80valid
5.0ms30×body320valid
2.0ms18×body160valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0267
1647
21267
32127
43237
58647
612027
718007
844217
950017

prune3.0ms

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
14×fma-def *-un-lft-identity
11×exp-sum
10×add-sqr-sqrt add-cube-cbrt
9×prod-diff
7×pow1 add-exp-log add-cbrt-cube
4×associate-*r* add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u distribute-lft-out
1×+-commutative distribute-rgt-in sub-neg distribute-lft-in associate-*l* sum-log *-commutative
Counts
2 → 53
Calls
2 calls:
31.0ms
(+ (exp (- 0.0 im)) (exp im))
71.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (exp (- 0.0 im)) (exp im))
63.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify38.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0277376
11271319
25001317

prune165.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (exp im) 3)
0.1b
(pow (exp (- 0.0 im)) 3)
0.3b
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
6.4b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
26×add-cube-cbrt
22×exp-sum
19×prod-diff
17×unpow-prod-down cube-prod
15×add-cbrt-cube
13×add-exp-log
10×pow-pow
9×exp-diff
8×exp-prod associate-/r/
6×pow1 pow-unpow frac-add add-log-exp
4×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
3×cbrt-undiv sub-neg times-frac div-exp prod-exp associate-/r* cbrt-unprod
2×cube-mult frac-times pow-to-exp flip3-+ unpow3 associate-*l/ pow-exp flip-+ associate-/l/ rem-cube-cbrt sqr-pow
1×cube-div distribute-rgt-out-- frac-2neg fma-neg diff-log clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 133
Calls
4 calls:
2.0ms
(pow (exp im) 3)
14.0ms
(pow (exp (- 0.0 im)) 3)
205.0ms
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
7.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series308.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(pow (exp im) 3)
25.0ms
(pow (exp (- 0.0 im)) 3)
216.0ms
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
44.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify181.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (161.0ms)

IterNodesCost
09042004
149431502
250011500

prune456.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (exp (- 0.0 im)) 3)
0.3b
(log1p (pow (exp (- 0.0 im)) 3))
0.3b
(/ (* (* 0.5 (sin re)) (+ (expm1 (log1p (pow (exp (- 0.0 im)) 3))) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
6.4b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt exp-sum
19×prod-diff
14×unpow-prod-down cube-prod add-cbrt-cube
13×add-exp-log
9×exp-diff
8×associate-/r/
6×pow-pow frac-add add-log-exp
5×pow1 expm1-log1p-u exp-prod
4×flip3-- associate-*r/ flip-- log1p-expm1-u
3×cbrt-undiv sub-neg pow-unpow times-frac div-exp prod-exp associate-/r* cbrt-unprod
2×frac-times flip3-+ associate-*l/ flip-+ associate-/l/
1×cube-div cube-mult pow-to-exp log1p-udef distribute-rgt-out-- frac-2neg fma-neg diff-log unpow3 log1p-expm1 pow-exp clear-num div-inv associate-/l* distribute-lft-out-- rem-cube-cbrt difference-of-squares sqr-pow
Counts
4 → 116
Calls
4 calls:
12.0ms
(pow (exp (- 0.0 im)) 3)
0.0ms
(log1p (pow (exp (- 0.0 im)) 3))
134.0ms
(/ (* (* 0.5 (sin re)) (+ (expm1 (log1p (pow (exp (- 0.0 im)) 3))) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
7.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series415.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(pow (exp (- 0.0 im)) 3)
80.0ms
(log1p (pow (exp (- 0.0 im)) 3))
265.0ms
(/ (* (* 0.5 (sin re)) (+ (expm1 (log1p (pow (exp (- 0.0 im)) 3))) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
45.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify132.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
08822089
144201533
250011521

prune479.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (* 0.5 (sin re)) (* (cbrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im))))) (cbrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im))))))) (/ (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (cbrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))))
6.4b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))
6.4b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))
6.4b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
152×cbrt-div exp-diff
114×frac-add
103×frac-times
90×*-un-lft-identity
88×associate-/r/
85×associate-*l*
66×associate-*r*
60×flip3-- flip--
57×times-frac
47×associate-*r/ associate-*l/
45×add-exp-log
38×add-sqr-sqrt
32×add-cbrt-cube
30×add-cube-cbrt distribute-lft-out
28×cbrt-prod
24×unpow-prod-down cube-prod
19×flip3-+ flip-+
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
10×add-log-exp
6×pow1 sum-cubes
4×expm1-log1p-u log1p-expm1-u
3×sub-neg distribute-rgt-out-- fma-neg diff-log prod-diff unswap-sqr
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 239
Calls
4 calls:
1.1s
(* (/ (* 0.5 (sin re)) (* (cbrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im))))) (cbrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im))))))) (/ (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (cbrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))))
7.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))
7.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))
7.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series368.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(* (/ (* 0.5 (sin re)) (* (cbrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im))))) (cbrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im))))))) (/ (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (cbrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))))
44.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))
50.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))
45.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify113.0ms

Algorithm
egg-herbie
Counts
251 → 251
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
0129412885
1500111911

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.1s2930×body1280valid
578.0ms2549×body640valid
413.0ms8538×body80valid
183.0ms1219×body320valid
61.0ms614×body160valid