Details

Time bar (total: 3.7s)

sample14.0ms

Algorithm
intervals
Results
6.0ms352×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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
8.0ms
(* x (- 1.0 (* x y)))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* x (- 1.0 (* x y)))

simplify103.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0151198
1642173
23593170
35001162

prune55.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))
51.9b
(fma (- y) x (* y x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity prod-diff
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
2 → 42
Calls
2 calls:
9.0ms
(* x (- 1.0 (* x y)))
0.0ms
(fma (- y) x (* y x))

series68.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* x (- 1.0 (* x y)))
24.0ms
(fma (- y) x (* y x))

simplify111.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0161248
1676216
23769213
35001213

prune105.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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))))
51.9b
(fma (- y) x (* y x))

rewrite23.0ms

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))

series735.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt (- 1.0 (* x y)))
242.0ms
(cbrt (- 1.0 (* x y)))
225.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
25.0ms
(fma (- y) x (* y x))

simplify48.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0385994
11508939
25001881

prune348.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y)))))
0.3b
(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)
51.9b
(fma (- y) x (* y x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
66×cbrt-prod
39×add-sqr-sqrt
26×cbrt-div
21×add-cube-cbrt *-un-lft-identity
12×pow1
9×unpow-prod-down swap-sqr associate-*r* associate-*l* unswap-sqr
8×pow1/3
7×add-exp-log flip3-- flip--
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-plus pow-exp prod-exp *-commutative cbrt-unprod fma-udef sqr-pow
Counts
4 → 115
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* x y)))
19.0ms
(* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y)))))
5.0ms
(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)
0.0ms
(fma (- y) x (* y x))

series921.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt (- 1.0 (* x y)))
233.0ms
(* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y)))))
419.0ms
(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)
29.0ms
(fma (- y) x (* y x))

simplify72.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05771422
124031260
250021222

prune496.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes117.0ms

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

sample351.0ms

Algorithm
intervals
Results
196.0ms10699×body80valid