Details

Time bar (total: 3.2s)

sample15.0ms

Algorithm
intervals
Results
6.0ms357×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(- 1.0 (* x y))
5.0ms
(* x (- 1.0 (* x y)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- 1.0 (* x y))
44.0ms
(* x (- 1.0 (* x y)))

simplify95.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0138190
1581168
23052168
35001168

prune76.0ms

Filtered
42 candidates to 26 candidates (61.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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
1×+-commutative distribute-lft-neg-in neg-mul-1 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 → 36
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* x (- (* x y))))
5.0ms
(* x (- (* x y)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* x 1.0) (* x (- (* x y))))
21.0ms
(* x (- (* x y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0181210
11035183
25001179

prune87.0ms

Filtered
42 candidates to 31 candidates (73.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series750.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt x) (cbrt x))
187.0ms
(cbrt x)
185.0ms
(cbrt x)
179.0ms
(cbrt x)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune222.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.7b
(cbrt (cbrt x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (cbrt x))

series884.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
185.0ms
(cbrt x)
275.0ms
(cbrt (* (cbrt x) (cbrt x)))
241.0ms
(cbrt (cbrt x))

simplify109.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 4 (105.0ms)

IterNodesCost
0106215
1236195
2753185
33141185
45001180

prune201.0ms

Filtered
57 candidates to 50 candidates (87.7%)
Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes70.0ms

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

sample370.0ms

Algorithm
intervals
Results
200.0ms10703×body80valid