Details

Time bar (total: 3.7s)

sample22.0ms

Algorithm
intervals
Results
7.0ms352×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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:
8.0ms
(- (* x.re y.re) (* x.im y.im))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(- (* x.re y.re) (* x.im y.im))

simplify75.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09178
128571
289571
3213671
4500171

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.5b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.5b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.5b
(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite67.0ms

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:
45.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
8.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
5.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series456.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (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.im y.im)))
109.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
109.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify99.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
03101067
110651000
24162924
35001915

prune266.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.5b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.5b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.5b
(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite23.0ms

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:
5.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
5.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series432.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
107.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
108.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
110.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify102.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (92.0ms)

IterNodesCost
0180576
1498540
21453516
33389512
45001504

prune239.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
1.7b
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
2.9b
(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
37.0b
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
29×*-un-lft-identity
27×times-frac
20×difference-of-squares sqr-pow
19×add-cube-cbrt
11×add-exp-log add-cbrt-cube
9×pow1 associate-/l*
8×add-log-exp
5×difference-cubes distribute-lft-out--
3×flip3-+ associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod flip-+
2×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in associate-*r/ associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
29.0ms
(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
14.0ms
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
28.0ms
(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
73.0ms
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

series436.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
183.0ms
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
49.0ms
(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
123.0ms
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

simplify127.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
05541992
132501869
250011864

prune353.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes132.0ms

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

sample553.0ms

Algorithm
intervals
Results
203.0ms10417×body80valid