Details

Time bar (total: 21.9s)

sample39.0ms

Algorithm
intervals
Results
16.0ms311×body80valid

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2349
3849
41659
53319
63759
74349
85099
95929
106709
118439
1212179
1313369
1414539
done14539

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
1.9b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite55.0ms

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:
33.0ms
(* (- 1.0 y) z)
20.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series144.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (- 1.0 y) z)
98.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.1s

Counts
52 → 52
Iterations

Useful iterations: 3 (857.0ms)

IterNodesCost
093536
1212518
2649458
32455450
done5001450

prune167.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
2.2b
(* (* x z) (- y 1.0))

rewrite80.0ms

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:
12.0ms
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
66.0ms
(* (* x z) (- y 1.0))

series170.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
77.0ms
(* (* x z) (- y 1.0))

simplify5.0s

Counts
47 → 47
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
089589
1255557
2994453
34801451
done5001451

prune184.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite449.0ms

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:
6.0ms
(cbrt (- y 1.0))
4.0ms
(cbrt (- y 1.0))
79.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
347.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))

series602.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (- y 1.0))
134.0ms
(cbrt (- y 1.0))
254.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
94.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))

simplify1.9s

Counts
130 → 130
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02342883
16422763
222032343
done50002163

prune545.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
1.0b
(* (* x z) (* (cbrt (- y 1.0)) (/ (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (+ y 1.0)))))
1.3b
(* (* (* x z) (* (cbrt (- y 1.0)) (/ (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (+ y 1.0))))) (cbrt (- y 1.0)))
10.6b
(cbrt (- (* y y) (* 1.0 1.0)))

rewrite594.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
34×pow1
33×prod-exp cbrt-unprod
32×cbrt-div
31×add-cbrt-cube
26×associate-*r/
21×pow-prod-down
18×frac-times
16×flip3-- flip--
14×cbrt-prod
13×associate-*l/
12×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×cbrt-undiv div-exp add-log-exp
3×difference-of-squares
2×pow1/3 associate-*l* *-commutative distribute-lft-out--
Counts
4 → 113
Calls
4 calls:
8.0ms
(cbrt (- y 1.0))
111.0ms
(* (* x z) (* (cbrt (- y 1.0)) (/ (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (+ y 1.0)))))
456.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (/ (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (+ y 1.0))))) (cbrt (- y 1.0)))
12.0ms
(cbrt (- (* y y) (* 1.0 1.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt (- y 1.0))
334.0ms
(* (* x z) (* (cbrt (- y 1.0)) (/ (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (+ y 1.0)))))
415.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (/ (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (+ y 1.0))))) (cbrt (- y 1.0)))
301.0ms
(cbrt (- (* y y) (* 1.0 1.0)))

simplify2.2s

Counts
125 → 125
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02953591
18053486
230632939
done50012837

prune535.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes276.0ms

Accuracy

0% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11311
done1311

end0.0ms

sample1.0s

Algorithm
intervals
Results
505.0ms10150×body80valid