Details

Time bar (total: 17.2s)

sample25.0ms

Algorithm
intervals
Results
11.0ms303×body80valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1147
2247
3297
done297

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* x 3.0) y) z)
0.2b
(* (* x 3.0) y)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×associate-*r* prod-diff pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log associate-*l* *-commutative flip--
Counts
2 → 38
Calls
2 calls:
29.0ms
(- (* (* x 3.0) y) z)
20.0ms
(* (* x 3.0) y)

series90.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (* (* x 3.0) y) z)
38.0ms
(* (* x 3.0) y)

simplify3.8s

Counts
44 → 44
Iterations

Useful iterations: done (3.8s)

IterNodesCost
084426
1196377
2641334
32443327
done5000321

prune111.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (pow (* 3.0 (* x y)) 1) z)
0.3b
(* 3.0 (* x y))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt prod-diff
14×*-un-lft-identity
12×add-cube-cbrt
7×pow1 add-exp-log add-cbrt-cube
5×fma-neg sqr-pow
4×unpow-prod-down add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u difference-of-squares
1×sub-neg flip3-- diff-log associate-*r* *-commutative flip-- distribute-lft-out--
Counts
2 → 57
Calls
2 calls:
35.0ms
(- (pow (* 3.0 (* x y)) 1) z)
23.0ms
(* 3.0 (* x y))

series104.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(- (pow (* 3.0 (* x y)) 1) z)
42.0ms
(* 3.0 (* x y))

simplify3.9s

Counts
63 → 63
Iterations

Useful iterations: done (3.9s)

IterNodesCost
0107967
1234668
2670554
32999503
done5001464

prune174.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (pow (* 3.0 (* x y)) 1)) (cbrt (pow (* 3.0 (* x y)) 1)))
6.3b
(cbrt (pow (* 3.0 (* x y)) 1))
6.3b
(cbrt (pow (* 3.0 (* x y)) 1))
6.3b
(cbrt (pow (* 3.0 (* x y)) 1))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
47×cbrt-prod
27×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
13×sqr-pow
11×pow1
9×pow1/3 unswap-sqr
8×swap-sqr associate-*r* associate-*l*
7×unpow-prod-down
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
60.0ms
(* (cbrt (pow (* 3.0 (* x y)) 1)) (cbrt (pow (* 3.0 (* x y)) 1)))
9.0ms
(cbrt (pow (* 3.0 (* x y)) 1))
9.0ms
(cbrt (pow (* 3.0 (* x y)) 1))
18.0ms
(cbrt (pow (* 3.0 (* x y)) 1))

series784.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (cbrt (pow (* 3.0 (* x y)) 1)) (cbrt (pow (* 3.0 (* x y)) 1)))
178.0ms
(cbrt (pow (* 3.0 (* x y)) 1))
211.0ms
(cbrt (pow (* 3.0 (* x y)) 1))
192.0ms
(cbrt (pow (* 3.0 (* x y)) 1))

simplify1.9s

Counts
110 → 110
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01151992
12421488
26001368
316651244
done50011204

prune590.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (pow 3.0 1)) (* (cbrt (* 3.0 (* x y))) (cbrt (* y x))))
6.3b
(cbrt (pow (* 3.0 (* x y)) 1))
6.3b
(cbrt (* 3.0 (* x y)))
6.4b
(cbrt (* y x))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
10×associate-*l*
9×pow1 add-exp-log
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1/3
5×pow-prod-down add-cbrt-cube
4×expm1-log1p-u unpow-prod-down log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×sqr-pow
1×associate-*r* *-commutative
Counts
4 → 65
Calls
4 calls:
87.0ms
(* (cbrt (pow 3.0 1)) (* (cbrt (* 3.0 (* x y))) (cbrt (* y x))))
9.0ms
(cbrt (pow (* 3.0 (* x y)) 1))
22.0ms
(cbrt (* 3.0 (* x y)))
8.0ms
(cbrt (* y x))

series742.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(* (cbrt (pow 3.0 1)) (* (cbrt (* 3.0 (* x y))) (cbrt (* y x))))
167.0ms
(cbrt (pow (* 3.0 (* x y)) 1))
199.0ms
(cbrt (* 3.0 (* x y)))
130.0ms
(cbrt (* y x))

simplify3.0s

Counts
77 → 77
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01371037
1293914
2769816
32649775
done5000740

prune549.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes279.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
197
done97

end0.0ms

sample743.0ms

Algorithm
intervals
Results
409.0ms9161×body80valid