Details

Time bar (total: 11.0s)

sample310.0ms

Algorithm
intervals
Results
6.0ms312×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
2155
3195
done195

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
22.0ms
(* (+ x y) z)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(* (+ x y) z)

simplify2.7s

Counts
26 → 26
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
047190
1111185
2377163
31143163
44461163
done5000163

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
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 → 103
Calls
4 calls:
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
38.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))

series557.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (+ x y))
131.0ms
(cbrt (+ x y))
128.0ms
(cbrt (+ x y))
170.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify2.2s

Counts
115 → 115
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01201316
12571186
26231128
315251051
445221045
done50001040

prune256.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

4.1b
(- (* x x) (* y y))
12.0b
(/ (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
28.2b
(cbrt (- (* x x) (* y y)))
28.2b
(cbrt (- (* x x) (* y y)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
15×flip3-- flip--
8×cbrt-prod frac-times associate-/r/ add-cbrt-cube associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u
3×difference-of-squares
2×pow1/3
1×sub-neg frac-2neg times-frac fma-neg diff-log prod-diff clear-num associate-/r* div-inv associate-/l*
Counts
4 → 88
Calls
4 calls:
10.0ms
(- (* x x) (* y y))
43.0ms
(/ (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
6.0ms
(cbrt (- (* x x) (* y y)))
6.0ms
(cbrt (- (* x x) (* y y)))

series400.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (* x x) (* y y))
155.0ms
(/ (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
105.0ms
(cbrt (- (* x x) (* y y)))
108.0ms
(cbrt (- (* x x) (* y y)))

simplify2.2s

Counts
100 → 100
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01562127
14111944
212291588
341541468
done50011459

prune374.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) z)
0.3b
(pow (* (+ x y) z) 3)
31.6b
(cbrt (pow (* (+ x y) z) 3))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity
8×pow1 add-exp-log cbrt-prod add-cbrt-cube
7×add-cube-cbrt
6×associate-*l/
4×cube-div associate-*l*
3×expm1-log1p-u pow-unpow flip3-+ associate-*r* flip-+ log1p-expm1-u add-log-exp
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×pow-to-exp pow1/3 *-commutative rem-cbrt-cube distribute-lft-out unswap-sqr
Counts
3 → 70
Calls
3 calls:
22.0ms
(* (+ x y) z)
10.0ms
(pow (* (+ x y) z) 3)
4.0ms
(cbrt (pow (* (+ x y) z) 3))

series86.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(* (+ x y) z)
39.0ms
(pow (* (+ x y) z) 3)
24.0ms
(cbrt (pow (* (+ x y) z) 3))

simplify811.0ms

Counts
79 → 79
Iterations

Useful iterations: done (810.0ms)

IterNodesCost
0111830
1266673
21020636
done5000615

prune142.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
done75

end0.0ms

sample418.0ms

Algorithm
intervals
Results
151.0ms10129×body80valid