Details

Time bar (total: 7.3s)

sample53.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
10.0ms230×body80nan

simplify14.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
14×associate--l+
12×add-sqr-sqrt log-prod
10×*-un-lft-identity
8×add-cube-cbrt
7×add-log-exp
6×distribute-rgt-in distribute-lft-in
5×pow1
4×add-exp-log associate-*r* add-cbrt-cube
3×diff-log associate-*l*
2×sub-neg
1×associate--l- flip3-- pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
84.0ms
(- (- (* x (log y)) z) y)
34.0ms
(* x (log y))

series430.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(- (- (* x (log y)) z) y)
378.0ms
(* x (log y))

simplify35.0ms

Counts
55 → 55

prune152.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
11.0ms
(* x (log (cbrt y)))
34.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series687.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* x (log (cbrt y)))
123.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
201.0ms
(cbrt y)
232.0ms
(cbrt y)

simplify45.0ms

Counts
114 → 114

prune518.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))
5.0b
(pow y 1/3)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt y)
9.0ms
(cbrt (cbrt y))
2.0ms
(cbrt (cbrt y))
4.0ms
(pow y 1/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
277.0ms
(cbrt y)
300.0ms
(cbrt (cbrt y))
332.0ms
(cbrt (cbrt y))
246.0ms
(pow y 1/3)

simplify68.0ms

Counts
69 → 69

prune462.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (+ (* 2 (log (cbrt y))) (log (sqrt (cbrt y)))))
0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
7×pow1
6×add-exp-log add-cbrt-cube
5×associate-*r*
4×add-log-exp
3×pow1/3 associate-*l*
2×distribute-rgt-out associate-*r/ log-pow
1×distribute-rgt-in distribute-lft-in sqrt-pow1 flip3-+ pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 57
Calls
4 calls:
56.0ms
(* x (+ (* 2 (log (cbrt y))) (log (sqrt (cbrt y)))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
323.0ms
(* x (+ (* 2 (log (cbrt y))) (log (sqrt (cbrt y)))))
286.0ms
(cbrt y)
271.0ms
(cbrt y)
257.0ms
(cbrt y)

simplify98.0ms

Counts
69 → 69

prune422.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes153.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
398.0ms8032×body80valid
321.0ms8085×body80nan
0.0ms1×body2560valid
0.0ms1×body1280valid