Details

Time bar (total: 12.8s)

sample32.0ms

Algorithm
intervals
Results
13.0ms318×body80valid

simplify1.4s

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
4.3b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
29.0ms
(* (- 1.0 y) z)
18.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (- 1.0 y) z)
69.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.6s

Counts
52 → 52

prune146.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
1.7b
(* (* x z) (- y 1.0))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
18.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
48.0ms
(* (* x z) (- y 1.0))

series175.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
77.0ms
(* (* x z) (- y 1.0))

simplify636.0ms

Counts
47 → 47

prune106.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.5b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
1.3b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite342.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
4.0ms
(cbrt (- y 1.0))
7.0ms
(cbrt (- y 1.0))
231.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
93.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series502.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(cbrt (- y 1.0))
110.0ms
(cbrt (- y 1.0))
89.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
178.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify1.0s

Counts
130 → 130

prune455.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.4b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
1.3b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite459.0ms

Algorithm
rewrite-expression-head
Rules
340×cbrt-div
140×frac-times
126×associate-*r/
116×flip3-- flip--
57×pow1 add-exp-log
46×associate-*l/
39×pow-prod-down prod-exp cbrt-unprod
35×add-cbrt-cube
10×cbrt-prod add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×add-log-exp
2×pow1/3 associate-*r* associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 180
Calls
4 calls:
6.0ms
(cbrt (- y 1.0))
6.0ms
(cbrt (- y 1.0))
332.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
90.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series810.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(cbrt (- y 1.0))
127.0ms
(cbrt (- y 1.0))
351.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
203.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify1.6s

Counts
192 → 192

prune810.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

-115.2% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.2s

end0.0ms

sample959.0ms

Algorithm
intervals
Results
410.0ms10036×body80valid