Details

Time bar (total: 12.1s)

sample33.0ms

Algorithm
intervals
Results
13.0ms335×body80valid

simplify477.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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:
60.0ms
(* (- x 1.0) z)
19.0ms
(+ (* x y) (* (- x 1.0) z))

series137.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (- x 1.0) z)
63.0ms
(+ (* x y) (* (- x 1.0) z))

simplify1.8s

Counts
39 → 39

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series973.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(* (cbrt z) (cbrt z))
212.0ms
(cbrt z)
255.0ms
(cbrt z)
238.0ms
(cbrt z)

simplify929.0ms

Counts
85 → 85

prune296.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (* x y) 3)
1.4b
(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
2.8b
(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
36.1b
(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

rewrite302.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×pow1
5×sum-cubes distribute-lft-out associate-/l*
4×associate-+l+ flip3-+ flip-+
3×pow-unpow associate-/r*
2×+-commutative distribute-rgt-in sub-neg pow-pow distribute-lft-in pow-exp sum-log associate-/r/ associate-/l/ rem-cube-cbrt
1×cbrt-undiv cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod div-exp pow-prod-down prod-exp clear-num cbrt-unprod div-inv sqr-pow
Counts
4 → 89
Calls
4 calls:
6.0ms
(pow (* x y) 3)
84.0ms
(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
17.0ms
(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
192.0ms
(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

series828.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(pow (* x y) 3)
134.0ms
(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
183.0ms
(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
433.0ms
(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

simplify1.6s

Counts
101 → 101

prune363.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/ associate--l+
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
14.0ms
(- (* x (+ z y)) z)
27.0ms
(* x (+ z y))

series60.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- (* x (+ z y)) z)
29.0ms
(* x (+ z y))

simplify1.2s

Counts
43 → 43

prune86.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.7s

end0.0ms

sample968.0ms

Algorithm
intervals
Results
512.0ms10078×body80valid