Details

Time bar (total: 15.4s)

sample28.0ms

Algorithm
intervals
Results
12.0ms316×body80valid

simplify40.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3447
4587
done587

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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:
36.0ms
(* x (- 1.0 (* x y)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* x (- 1.0 (* x y)))

simplify2.0s

Counts
35 → 35
Iterations

Useful iterations: done (2.0s)

IterNodesCost
071411
1151408
2382356
31330347
done5000311

prune121.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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))))

rewrite65.0ms

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:
6.0ms
(cbrt (- 1.0 (* x y)))
7.0ms
(cbrt (- 1.0 (* x y)))
6.0ms
(cbrt (- 1.0 (* x y)))
40.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.4s

Counts
4 → 12
Calls
4 calls:
342.0ms
(cbrt (- 1.0 (* x y)))
352.0ms
(cbrt (- 1.0 (* x y)))
344.0ms
(cbrt (- 1.0 (* x y)))
371.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify2.7s

Counts
107 → 107
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01522108
13701928
211931787
344231482
done50001478

prune475.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (fma y x 1.0))
0.2b
(/ (cbrt (* (- 1.0 (* x y)) (fma y x 1.0))) (cbrt (fma y x 1.0)))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
5.6b
(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
38×add-sqr-sqrt
30×add-cube-cbrt *-un-lft-identity
24×times-frac
16×cbrt-div
11×pow1
8×add-exp-log flip3-- pow1/3 flip--
6×swap-sqr associate-*r* associate-*l* associate-*l/ associate-/r*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up associate-/l/
1×cbrt-undiv pow2 frac-2neg pow-plus div-exp prod-exp clear-num *-commutative cbrt-unprod div-inv
Counts
4 → 126
Calls
4 calls:
1.0ms
(cbrt (fma y x 1.0))
10.0ms
(/ (cbrt (* (- 1.0 (* x y)) (fma y x 1.0))) (cbrt (fma y x 1.0)))
52.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
8.0ms
(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
348.0ms
(cbrt (fma y x 1.0))
370.0ms
(/ (cbrt (* (- 1.0 (* x y)) (fma y x 1.0))) (cbrt (fma y x 1.0)))
355.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
179.0ms
(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

simplify1.3s

Counts
138 → 138
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02623131
15842889
218222736
done50012542

prune805.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
36×cbrt-prod
21×add-cube-cbrt *-un-lft-identity
18×pow1
14×pow1/3
12×cbrt-div swap-sqr associate-*r* associate-*l*
8×add-exp-log unswap-sqr
6×flip3-- flip--
4×expm1-log1p-u frac-times pow-prod-down pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 116
Calls
4 calls:
2.0ms
(cbrt (fma y x 1.0))
11.0ms
(cbrt (* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0))))
19.0ms
(* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0)))
48.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
277.0ms
(cbrt (fma y x 1.0))
321.0ms
(cbrt (* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0))))
367.0ms
(* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0)))
310.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify1.3s

Counts
128 → 128
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02242471
15542203
218672018
done50011775

prune874.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample1.3s

Algorithm
intervals
Results
852.0ms10731×body80valid