Details

Time bar (total: 9.3s)

sample24.0ms

Algorithm
intervals
Results
10.0ms321×body80valid

simplify281.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
27.0ms
(* (- 1.0 x) y)
31.0ms
(+ (* (- 1.0 x) y) (* x z))

series94.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (- 1.0 x) y)
46.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify1.5s

Counts
39 → 39

prune130.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- 1.0 x))
0.1b
(cbrt (- 1.0 x))
0.2b
(* (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (- 1.0 x)) y))
0.2b
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
38×cbrt-prod
35×flip3-- flip--
34×add-sqr-sqrt associate-*l/
32×frac-times *-un-lft-identity
23×pow1
18×add-exp-log
14×add-cube-cbrt
10×associate-*r/ swap-sqr pow-prod-down add-cbrt-cube
9×associate-*r* associate-*l* prod-exp cbrt-unprod
8×pow1/3 distribute-lft-out--
6×difference-of-squares
4×add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 134
Calls
4 calls:
4.0ms
(cbrt (- 1.0 x))
8.0ms
(cbrt (- 1.0 x))
105.0ms
(* (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (- 1.0 x)) y))
71.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series419.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (- 1.0 x))
119.0ms
(cbrt (- 1.0 x))
42.0ms
(* (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (- 1.0 x)) y))
136.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify976.0ms

Counts
146 → 146

prune519.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.5b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b
(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube 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 → 87
Calls
4 calls:
120.0ms
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
17.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
20.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
15.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))

series996.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
229.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
262.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
232.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify810.0ms

Counts
99 → 99

prune410.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 1.0) (* x x))
0.0b
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
1.5b
(* (- (* 1.0 1.0) (* x x)) y)
7.1b
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt add-log-exp
6×pow1
4×times-frac associate-*l* associate-*l/ associate-/r*
3×flip3-- associate-*r* flip--
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/ distribute-lft-out difference-of-squares
1×+-commutative sub-neg frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 72
Calls
4 calls:
11.0ms
(- (* 1.0 1.0) (* x x))
68.0ms
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
39.0ms
(* (- (* 1.0 1.0) (* x x)) y)
32.0ms
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

series255.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* 1.0 1.0) (* x x))
69.0ms
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
46.0ms
(* (- (* 1.0 1.0) (* x x)) y)
95.0ms
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

simplify754.0ms

Counts
84 → 84

prune298.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify266.0ms

end0.0ms

sample745.0ms

Algorithm
intervals
Results
353.0ms10100×body80valid