Details

Time bar (total: 3.5s)

sample22.0ms

Algorithm
intervals
Results
13.0ms351×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1113
2113

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x (* y y)) 3.0)
13.0b
(/ x (* y y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity prod-diff
19×add-cube-cbrt
16×times-frac
add-exp-log fma-neg add-cbrt-cube
div-inv
add-log-exp
associate-/l*
pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u difference-of-squares
sub-neg flip3-- frac-2neg diff-log prod-exp clear-num associate-/r* flip-- cbrt-unprod distribute-lft-out--
Counts
2 → 68
Calls
2 calls:
12.0ms
(- (/ x (* y y)) 3.0)
3.0ms
(/ x (* y y))

series62.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (/ x (* y y)) 3.0)
23.0ms
(/ x (* y y))

simplify104.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0241508
1741343
23593316
35002280

prune107.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (/ x y) y) 3.0)
0.2b
(/ (/ x y) y)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
342×times-frac
236×add-sqr-sqrt
229×*-un-lft-identity
227×add-cube-cbrt
129×prod-diff
43×fma-neg
21×div-inv
13×associate-/l*
add-exp-log add-cbrt-cube
add-log-exp
cbrt-undiv div-exp associate-/r* difference-of-squares
pow1 expm1-log1p-u log1p-expm1-u
sub-neg flip3-- frac-2neg diff-log clear-num flip-- associate-/l/ distribute-lft-out--
Counts
2 → 262
Calls
2 calls:
45.0ms
(- (/ (/ x y) y) 3.0)
6.0ms
(/ (/ x y) y)

series63.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (/ (/ x y) y) 3.0)
22.0ms
(/ (/ x y) y)

simplify73.0ms

Algorithm
egg-herbie
Counts
268 → 268
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
07093025
123582003
250011851

prune350.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ 1 y) (/ x y) (- 3.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ 1 y) (/ x y) (- 3.0))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(fma (/ 1 y) (/ x y) (- 3.0))

simplify118.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (17.0ms)

IterNodesCost
03672
18062
236562
3278461
4500261

prune39.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
18.0b
(cbrt (/ (/ x y) y))
18.0b
(cbrt (/ (/ x y) y))
18.0b
(cbrt (/ (/ x y) y))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
486×times-frac
325×cbrt-prod
309×add-sqr-sqrt
253×add-cube-cbrt *-un-lft-identity
46×swap-sqr associate-*r* associate-*l*
28×div-inv
16×unswap-sqr
11×pow1
pow1/3
cbrt-div
add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 339
Calls
4 calls:
66.0ms
(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
5.0ms
(cbrt (/ (/ x y) y))
4.0ms
(cbrt (/ (/ x y) y))
4.0ms
(cbrt (/ (/ x y) y))

series377.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
87.0ms
(cbrt (/ (/ x y) y))
87.0ms
(cbrt (/ (/ x y) y))
91.0ms
(cbrt (/ (/ x y) y))

simplify82.0ms

Algorithm
egg-herbie
Counts
351 → 351
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06783941
123453845
250023779

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063

end0.0ms

sample590.0ms

Algorithm
intervals
Results
418.0ms10631×body80valid