Details

Time bar (total: 2.9s)

sample24.0ms

Algorithm
intervals
Results
16.0ms348×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2443
3623
4633
5633

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×add-cube-cbrt *-un-lft-identity
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×sub-neg fma-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
2.0ms
(- 1.0 (* x y))
8.0ms
(* x (- 1.0 (* x y)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- 1.0 (* x y))
46.0ms
(* x (- 1.0 (* x y)))

simplify107.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0171294
1703256
23872252
35002250

prune103.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (fma (- y) x (pow (cbrt 1.0) 3)) (fma (- y) x (* y x))))
51.6b
(fma (- y) x (* y x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef distribute-lft-out unswap-sqr
Counts
2 → 35
Calls
2 calls:
9.0ms
(* x (+ (fma (- y) x (pow (cbrt 1.0) 3)) (fma (- y) x (* y x))))
0.0ms
(fma (- y) x (* y x))

series114.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* x (+ (fma (- y) x (pow (cbrt 1.0) 3)) (fma (- y) x (* y x))))
27.0ms
(fma (- y) x (* y x))

simplify32.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0164351
1755295
25002284

prune128.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (fma (- y) x 1.0))
51.6b
(fma (- y) x (* y x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
3.0ms
(* x (fma (- y) x 1.0))
0.0ms
(fma (- y) x (* y x))

series71.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* x (fma (- y) x 1.0))
27.0ms
(fma (- y) x (* y x))

simplify64.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0100169
1399145
22142145
35001137

prune94.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))

rewrite22.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 95
Calls
4 calls:
14.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))

series953.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
244.0ms
(cbrt (- 1.0 (* x y)))
245.0ms
(cbrt (- 1.0 (* x y)))
239.0ms
(cbrt (- 1.0 (* x y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03691126
114301071
250011010

prune293.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes61.0ms

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
0148
1148

end0.0ms

sample659.0ms

Algorithm
intervals
Results
495.0ms10676×body80valid