Details

Time bar (total: 4.8s)

sample24.0ms

Algorithm
intervals
Results
8.0ms294×body80valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0256
1506
2806
31226
41715
52305
62675
73705
85225
98205
108205

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
7×prod-diff
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- fma-neg diff-log associate-*l/ frac-sub add-cbrt-cube flip-- log1p-expm1-u div-inv
Counts
1 → 23
Calls
1 calls:
16.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0237267
1963207
25002207

prune60.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ z (sqrt 2.0))
0.5b
(/ y (sqrt 2.0))
0.5b
(/ y (sqrt 2.0))
0.5b
(/ y (sqrt 2.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
64×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×sqrt-prod
24×associate-/r*
12×add-exp-log add-cbrt-cube associate-/l*
4×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
4 → 164
Calls
4 calls:
6.0ms
(/ z (sqrt 2.0))
6.0ms
(/ y (sqrt 2.0))
6.0ms
(/ y (sqrt 2.0))
6.0ms
(/ y (sqrt 2.0))

series203.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ z (sqrt 2.0))
50.0ms
(/ y (sqrt 2.0))
48.0ms
(/ y (sqrt 2.0))
53.0ms
(/ y (sqrt 2.0))

simplify77.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 4 (66.0ms)

IterNodesCost
0182892
1500852
21319812
33829812
45001808

prune479.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(* (/ z (sqrt 2.0)) (+ (- (/ y (sqrt 2.0))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt 2.0) (cbrt y)))))
36.7b
(+ (- (/ y (sqrt 2.0))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt 2.0) (cbrt y))))

rewrite633.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
55×add-sqr-sqrt *-un-lft-identity
48×fma-def
47×add-cube-cbrt
28×sqrt-prod
24×distribute-rgt-neg-in
22×distribute-lft-neg-in associate-*l*
9×add-exp-log add-cbrt-cube
8×add-log-exp
6×pow1 cbrt-prod
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u distribute-lft-out
3×frac-times flip3-+ associate-*r/ frac-add flip-+ div-inv distribute-neg-frac unswap-sqr
2×pow1/3 prod-exp sum-log cbrt-unprod
1×cbrt-undiv +-commutative neg-sub0 distribute-rgt-in associate-+l- neg-mul-1 distribute-lft-in div-exp pow-prod-down neg-log associate-*l/ *-commutative
Counts
4 → 146
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
489.0ms
(* (/ z (sqrt 2.0)) (+ (- (/ y (sqrt 2.0))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt 2.0) (cbrt y)))))
136.0ms
(+ (- (/ y (sqrt 2.0))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt 2.0) (cbrt y))))

series1.5s

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt y)
172.0ms
(cbrt y)
931.0ms
(* (/ z (sqrt 2.0)) (+ (- (/ y (sqrt 2.0))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt 2.0) (cbrt y)))))
238.0ms
(+ (- (/ y (sqrt 2.0))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt 2.0) (cbrt y))))

simplify65.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04751351
122051189
250031108

prune682.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes159.0ms

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
0166
1166

end0.0ms

sample641.0ms

Algorithm
intervals
Results
286.0ms9095×body80valid