Details

Time bar (total: 2.3s)

sample15.0ms

Algorithm
intervals
Results
8.0ms337×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2443
3623
4633
5633

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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))
7.0ms
(* x (- 1.0 (* x y)))

series68.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(- 1.0 (* x y))
40.0ms
(* x (- 1.0 (* x y)))

simplify105.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0171294
1703256
23872252
35002250

prune98.0ms

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))))
50.4b
(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))

series106.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(* x (+ (fma (- y) x (pow (cbrt 1.0) 3)) (fma (- y) x (* y x))))
23.0ms
(fma (- y) x (* y x))

simplify34.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0164351
1755295
25002284

prune124.0ms

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))
50.4b
(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))

series69.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* x (fma (- y) x 1.0))
24.0ms
(fma (- y) x (* y x))

simplify61.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0100169
1399145
22142145
35001137

prune91.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (fma (- y) x 1.0)))
0.6b
(cbrt (* x (fma (- y) x 1.0)))
0.6b
(cbrt (* x (fma (- y) x 1.0)))
50.4b
(fma (- y) x (* y x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3
1×fma-udef
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (* x (fma (- y) x 1.0)))
1.0ms
(cbrt (* x (fma (- y) x 1.0)))
1.0ms
(cbrt (* x (fma (- y) x 1.0)))
0.0ms
(fma (- y) x (* y x))

series810.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt (* x (fma (- y) x 1.0)))
260.0ms
(cbrt (* x (fma (- y) x 1.0)))
261.0ms
(cbrt (* x (fma (- y) x 1.0)))
24.0ms
(fma (- y) x (* y x))

simplify75.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0200572
1623538
22767520
35003514

prune204.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes46.0ms

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
0159
1159

end0.0ms

sample347.0ms

Algorithm
intervals
Results
188.0ms10690×body80valid