Details

Time bar (total: 11.5s)

sample29.0ms

Algorithm
intervals
Results
11.0ms323×body80valid

simplify1.6s

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.2b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
*-un-lft-identity associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
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
distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
46.0ms
(* (- 1.0 y) z)
20.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series144.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* (- 1.0 y) z)
80.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.7s

Counts
52 → 52

prune134.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.4b
(* (* x z) (- y 1.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity associate-*r*
distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
associate-*r/
+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
29.0ms
(* (* x z) (- y 1.0))

series145.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
67.0ms
(* (* x z) (- y 1.0))

simplify697.0ms

Counts
47 → 47

prune121.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.6b
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))
2.0b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
associate-*l*
sub-neg associate-*r/
associate-*r* add-log-exp
flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
27.0ms
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))
90.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))

series764.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(cbrt x)
234.0ms
(cbrt x)
198.0ms
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))
108.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))

simplify765.0ms

Counts
94 → 94

prune194.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.6b
(* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- 1.0 (* (- 1.0 y) z)))
2.0b
(* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- 1.0 (* (- 1.0 y) z))))

rewrite494.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1 add-exp-log
30×pow-prod-down prod-exp cbrt-unprod
25×add-cbrt-cube
10×distribute-rgt-in distribute-lft-in
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-prod sub-neg associate-*r/
associate-*r* add-log-exp
flip3-- pow1/3 associate-*l* *-commutative flip--
Counts
4 → 93
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
122.0ms
(* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- 1.0 (* (- 1.0 y) z)))
367.0ms
(* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- 1.0 (* (- 1.0 y) z))))

series735.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt x)
220.0ms
(cbrt x)
171.0ms
(* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- 1.0 (* (- 1.0 y) z)))
102.0ms
(* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- 1.0 (* (- 1.0 y) z))))

simplify1.1s

Counts
105 → 105

prune215.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes260.0ms

Accuracy

-101.9% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify1.2s

end0.0ms

sample951.0ms

Algorithm
intervals
Results
430.0ms10145×body80valid