Details

Time bar (total: 2.9s)

sample16.0ms

Algorithm
intervals
Results
6.0ms346×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)))

rewrite28.0ms

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:
8.0ms
(- 1.0 (* x y))
18.0ms
(* x (- 1.0 (* x y)))

series67.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- 1.0 (* x y))
41.0ms
(* x (- 1.0 (* x y)))

simplify104.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0171294
1703256
23872252
35002250

prune107.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))
51.7b
(fma (- y) x (* y x))

rewrite26.0ms

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:
6.0ms
(- 1.0 (* x y))
18.0ms
(* x (- 1.0 (* x y)))
0.0ms
(fma (- y) x (* y x))

series95.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- 1.0 (* x y))
44.0ms
(* x (- 1.0 (* x y)))
25.0ms
(fma (- y) x (* y x))

simplify114.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0181344
1748299
24048295
35002293

prune168.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* x y))))
0.2b
(* x (- (* x y)))
51.7b
(fma (- y) x (* y x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×associate-*r*
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×expm1-log1p-u associate-*l* distribute-rgt-neg-out log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ fma-udef distribute-lft-out unswap-sqr
Counts
3 → 51
Calls
3 calls:
12.0ms
(+ (* x 1.0) (* x (- (* x y))))
12.0ms
(* x (- (* x y)))
0.0ms
(fma (- y) x (* y x))

series93.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (* x 1.0) (* x (- (* x y))))
22.0ms
(* x (- (* x y)))
26.0ms
(fma (- y) x (* y x))

simplify48.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0205280
11176245
25002240

prune172.0ms

Pruning

6 alts after pruning (5 fresh and 1 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)))

rewrite45.0ms

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:
30.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
3.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))

series943.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
242.0ms
(cbrt (- 1.0 (* x y)))
235.0ms
(cbrt (- 1.0 (* x y)))
236.0ms
(cbrt (- 1.0 (* x y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03691126
114301071
250011010

prune302.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12810
22910
32910

end0.0ms

sample408.0ms

Algorithm
intervals
Results
184.0ms10639×body80valid