Details

Time bar (total: 6.7s)

sample14.0ms

Algorithm
intervals
Results
6.0ms337×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2237
3437
4557
done557

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×add-cube-cbrt *-un-lft-identity
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×sub-neg fma-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
2.0ms
(- 1.0 (* x y))
8.0ms
(* x (- 1.0 (* x y)))

series69.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- 1.0 (* x y))
43.0ms
(* x (- 1.0 (* x y)))

simplify1.2s

Counts
58 → 58
Iterations

Useful iterations: 3 (354.0ms)

IterNodesCost
081616
1171607
2577532
32649511
done5000511

prune101.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (fma (- y) x (pow (cbrt 1.0) 3)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×fma-udef
1×distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
3.0ms
(* x (fma (- y) x (pow (cbrt 1.0) 3)))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* x (fma (- y) x (pow (cbrt 1.0) 3)))

simplify893.0ms

Counts
25 → 25
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
048328
197244
2315210
31475210
done5001210

prune69.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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))))

rewrite19.0ms

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:
9.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
287.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
260.0ms
(cbrt (* x (- 1.0 (* x y))))
259.0ms
(cbrt (* x (- 1.0 (* x y))))
260.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify513.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (147.0ms)

IterNodesCost
01722160
14471980
216231828
done50011828

prune269.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (cbrt x) (cbrt (- 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)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
16×cbrt-div
12×pow1/3
9×pow1 add-exp-log
8×flip3-- flip--
7×cbrt-prod pow-prod-down
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×expm1-log1p-u frac-times associate-*r* log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×associate-*l/
1×swap-sqr associate-*l* pow-sqr *-commutative pow-prod-up
Counts
4 → 72
Calls
4 calls:
19.0ms
(* (* (cbrt x) (cbrt (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
292.0ms
(* (* (cbrt x) (cbrt (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
266.0ms
(cbrt (* x (- 1.0 (* x y))))
266.0ms
(cbrt (* x (- 1.0 (* x y))))
176.0ms
(cbrt x)

simplify574.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
01951762
15341677
219071549
done50001549

prune292.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01418
11918
done1918

end0.0ms

sample362.0ms

Algorithm
intervals
Results
197.0ms10690×body80valid