Details

Time bar (total: 2.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms336×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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
5.0ms
(* x (- 1.0 (* x y)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* x (- 1.0 (* x y)))

simplify102.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0151198
1642173
23593170
35001162

prune52.0ms

Filtered
35 candidates to 19 candidates (54.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New28735
Fresh000
Picked101
Done000
Total29736

Merged error: 0.0b

Counts
36 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

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

series63.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (* 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

prune83.0ms

Filtered
47 candidates to 37 candidates (78.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh336
Picked011
Done000
Total48654

Merged error: 0.0b

Counts
54 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))
53.9b
(fma (- y) x (* y x))

rewrite8.0ms

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

series69.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* x (- 1.0 (* x y)))
24.0ms
(fma (- y) x (* y x))

simplify113.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0161248
1676216
23769213
35001213

prune86.0ms

Filtered
48 candidates to 31 candidates (64.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New48048
Fresh044
Picked011
Done011
Total48654

Merged error: 0.0b

Counts
54 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
6.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
296.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
270.0ms
(cbrt (* x (- 1.0 (* x y))))
273.0ms
(cbrt (* x (- 1.0 (* x y))))
269.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify55.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04461136
117461065
250021002

prune232.0ms

Filtered
92 candidates to 75 candidates (81.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New91192
Fresh123
Picked011
Done022
Total92698

Merged error: 0b

Counts
98 → 6

regimes69.0ms

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

sample409.0ms

Algorithm
intervals
Results
241.0ms10646×body80valid