Details

Time bar (total: 3.1s)

sample16.0ms

Algorithm
intervals
Results
8.0ms355×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2443
3623
4633
5633

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:
6.0ms
(* x (- 1.0 (* x y)))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* x (- 1.0 (* x y)))

simplify100.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0151198
1642173
23593170
35001162

prune50.0ms

Filtered
35 candidates to 19 candidates (54.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New29635
Fresh000
Picked101
Done000
Total30636

Merged error: 0.0b

Counts
36 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
2×expm1-log1p-u 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-+ distribute-lft-out unswap-sqr
Counts
2 → 41
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* x (- (* x y))))
5.0ms
(* x (- (* x y)))

series60.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* x 1.0) (* x (- (* x y))))
20.0ms
(* x (- (* x y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0191230
11093202
25002198

prune81.0ms

Filtered
47 candidates to 37 candidates (78.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh145
Picked011
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

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)))

rewrite20.0ms

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:
10.0ms
(* (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)))

series900.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
226.0ms
(cbrt (- 1.0 (* x y)))
229.0ms
(cbrt (- 1.0 (* x y)))
224.0ms
(cbrt (- 1.0 (* x y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03691126
114301071
250011010

prune246.0ms

Filtered
107 candidates to 83 candidates (77.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh044
Picked011
Done011
Total1058113

Merged error: 0.0b

Counts
113 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(* (* x y) (* x y))
5.2b
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
17×pow-prod-down
16×add-exp-log add-cbrt-cube
10×cbrt-prod
8×prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×expm1-log1p-u pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip--
2×pow-plus
1×pow2 swap-sqr associate-*r* associate-*l* *-commutative difference-of-squares
Counts
4 → 82
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
7.0ms
(* (* x y) (* x y))
4.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series603.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(cbrt (- 1.0 (* x y)))
230.0ms
(cbrt (- 1.0 (* x y)))
30.0ms
(* (* x y) (* x y))
117.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify50.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0373669
11535617
25001606

prune249.0ms

Filtered
94 candidates to 66 candidates (70.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh055
Picked011
Done022
Total948102

Merged error: 0.0b

Counts
102 → 8

regimes83.0ms

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
0185
1235
2245
3245

end0.0ms

sample400.0ms

Algorithm
intervals
Results
236.0ms10723×body80valid