Details

Time bar (total: 3.9s)

sample14.0ms

Algorithm
intervals
Results
6.0ms338×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)))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* x (- 1.0 (* x y)))

simplify100.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0151198
1642173
23593170
35001162

prune54.0ms

Filtered
35 candidates to 19 candidates (54.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New28735
Fresh000
Picked011
Done000
Total28836

Merged error: 0.0b

Counts
36 → 8

localize11.0ms

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

rewrite18.0ms

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:
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
8.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series908.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(cbrt (- 1.0 (* x y)))
225.0ms
(cbrt (- 1.0 (* x y)))
231.0ms
(cbrt (- 1.0 (* x y)))
220.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03691126
114381071
250011010

prune257.0ms

Filtered
107 candidates to 83 candidates (77.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh066
Picked101
Done011
Total1069115

Merged error: 0.0b

Counts
115 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series741.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt x) (cbrt x))
175.0ms
(cbrt x)
181.0ms
(cbrt x)
181.0ms
(cbrt x)

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune185.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh257
Picked011
Done011
Total948102

Merged error: 0.0b

Counts
102 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x y) (* x y))
0.9b
(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
4.9b
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
4.9b
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
28×add-exp-log cbrt-div
20×add-cbrt-cube
17×pow-prod-down
12×prod-exp cbrt-unprod
8×cbrt-prod frac-times flip3-- associate-/r/ flip-- associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
4×cbrt-undiv expm1-log1p-u associate-*r/ div-exp associate-*l/ pow-sqr pow-prod-up log1p-expm1-u add-log-exp
2×pow-plus pow1/3 difference-of-squares
1×pow2 frac-2neg times-frac swap-sqr associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv associate-/l*
Counts
4 → 107
Calls
4 calls:
7.0ms
(* (* x y) (* x y))
17.0ms
(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
4.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
4.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series533.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* x y) (* x y))
267.0ms
(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
114.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
121.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify74.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05571555
122611281
250011234

prune315.0ms

Filtered
119 candidates to 83 candidates (69.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh055
Picked011
Done022
Total1198127

Merged error: 0.0b

Counts
127 → 8

regimes83.0ms

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
083
183

end0.0ms

sample375.0ms

Algorithm
intervals
Results
200.0ms10732×body80valid