Details

Time bar (total: 3.6s)

sample18.0ms

Algorithm
intervals
Results
7.0ms341×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2183

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x.re y.re) (* x.im y.im))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
2.0ms
(- (* x.re y.re) (* x.im y.im))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(- (* x.re y.re) (* x.im y.im))

simplify76.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09178
128571
289571
3213671
4500171

prune34.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite27.0ms

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:
18.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
2.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series466.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
117.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
112.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
112.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify98.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
03101067
110651000
24162924
35001915

prune264.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series454.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
116.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
112.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
114.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify100.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (93.0ms)

IterNodesCost
0180576
1498540
21453516
33389512
45001504

prune279.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
10.3b
(/ (* (cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))) (cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))))
26.9b
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))
26.9b
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
9×flip3-- flip--
8×cbrt-prod frac-times associate-/r/ add-cbrt-cube associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod
3×difference-of-squares
2×pow1/3
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
10.0ms
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
38.0ms
(/ (* (cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))) (cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))))
9.0ms
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))
9.0ms
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

series491.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
167.0ms
(/ (* (cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))) (cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))))
110.0ms
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))
114.0ms
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

simplify63.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04701844
117851512
250021462

prune342.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes181.0ms

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
093
193

end0.0ms

sample477.0ms

Algorithm
intervals
Results
229.0ms10502×body80valid