Details

Time bar (total: 12.0s)

sample33.0ms

Algorithm
intervals
Results
13.0ms345×body80valid

simplify49.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3457
4617
done617

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite47.0ms

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:
45.0ms
(* x (- 1.0 (* x y)))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* x (- 1.0 (* x y)))

simplify453.0ms

Counts
35 → 35
Iterations

Useful iterations: done (452.0ms)

IterNodesCost
071411
1174408
2721364
done5000349

prune96.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))))

rewrite43.0ms

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:
3.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))
31.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
331.0ms
(cbrt (- 1.0 (* x y)))
286.0ms
(cbrt (- 1.0 (* x y)))
273.0ms
(cbrt (- 1.0 (* x y)))
244.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify928.0ms

Counts
107 → 107
Iterations

Useful iterations: done (923.0ms)

IterNodesCost
01522108
13981928
216521787
done50011661

prune644.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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))))

rewrite82.0ms

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:
45.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
18.0ms
(cbrt (* x (- 1.0 (* x y))))
8.0ms
(cbrt (* x (- 1.0 (* x y))))
7.0ms
(cbrt (* x (- 1.0 (* x y))))

series1.6s

Counts
4 → 12
Calls
4 calls:
411.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
383.0ms
(cbrt (* x (- 1.0 (* x y))))
416.0ms
(cbrt (* x (- 1.0 (* x y))))
395.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify1.4s

Counts
92 → 92
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01722160
14751980
221341828
done50011716

prune654.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

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 (- 1.0 (* x y))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
22×add-sqr-sqrt
14×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×cbrt-div associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 flip3-- pow-plus prod-exp *-commutative flip-- cbrt-unprod
Counts
4 → 81
Calls
4 calls:
29.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(cbrt (* x (- 1.0 (* x y))))

series1.4s

Counts
4 → 12
Calls
4 calls:
339.0ms
(* (cbrt x) (cbrt x))
274.0ms
(cbrt x)
354.0ms
(cbrt x)
431.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0147838
1369718
21662678
done5000643

prune461.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes289.0ms

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
905.0ms10640×body80valid