Details

Time bar (total: 2.9s)

sample24.0ms

Algorithm
intervals
Results
15.0ms346×body80valid

simplify10.0ms

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)))

series69.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(- 1.0 (* x y))
41.0ms
(* x (- 1.0 (* x y)))

simplify107.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0171294
1703256
23872252
35002250

prune106.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))
50.3b
(fma (- y) x (* y x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity prod-diff
5×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube add-log-exp
3×expm1-log1p-u sub-neg fma-neg associate-*r* associate-*l* log1p-expm1-u
2×flip3-- associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 62
Calls
3 calls:
2.0ms
(- 1.0 (* x y))
8.0ms
(* x (- 1.0 (* x y)))
0.0ms
(fma (- y) x (* y x))

series94.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- 1.0 (* x y))
41.0ms
(* x (- 1.0 (* x y)))
27.0ms
(fma (- y) x (* y x))

simplify115.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0181344
1748299
24048295
35002293

prune169.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (fma (- y) x (pow (cbrt 1.0) 3)) (fma (- y) x (* y x))))
50.3b
(fma (- y) x (* y x))

rewrite11.0ms

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:
10.0ms
(* x (+ (fma (- y) x (pow (cbrt 1.0) 3)) (fma (- y) x (* y x))))
0.0ms
(fma (- y) x (* y x))

series108.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(* x (+ (fma (- y) x (pow (cbrt 1.0) 3)) (fma (- y) x (* y x))))
24.0ms
(fma (- y) x (* y x))

simplify34.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0164351
1755295
25002284

prune135.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
50.3b
(fma (- y) x (* y x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod add-sqr-sqrt
16×cbrt-div
14×add-cube-cbrt *-un-lft-identity
11×pow1
8×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 fma-udef
Counts
4 → 90
Calls
4 calls:
1.0ms
(cbrt (- 1.0 (* x y)))
1.0ms
(cbrt (- 1.0 (* x y)))
14.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.0ms
(fma (- y) x (* y x))

series697.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(cbrt (- 1.0 (* x y)))
229.0ms
(cbrt (- 1.0 (* x y)))
218.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
24.0ms
(fma (- y) x (* y x))

simplify50.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0385994
11508939
25001881

prune328.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes63.0ms

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

sample681.0ms

Algorithm
intervals
Results
499.0ms10762×body80valid