Details

Time bar (total: 8.0s)

sample33.0ms

Algorithm
intervals
Results
14.0ms283×body80valid

simplify33.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x 2.0) (* y x))
0.0b
(+ (+ (/ x 2.0) (* y x)) z)

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
35.0ms
(+ (/ x 2.0) (* y x))
103.0ms
(+ (+ (/ x 2.0) (* y x)) z)

series106.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ (/ x 2.0) (* y x))
55.0ms
(+ (+ (/ x 2.0) (* y x)) z)

simplify846.0ms

Counts
31 → 31

prune105.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y 0.5))
0.0b
(+ (* x (+ y 0.5)) z)

rewrite33.0ms

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 associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
20.0ms
(* x (+ y 0.5))
12.0ms
(+ (* x (+ y 0.5)) z)

series102.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* x (+ y 0.5))
45.0ms
(+ (* x (+ y 0.5)) z)

simplify1.6s

Counts
42 → 42

prune98.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (+ y 0.5))) (cbrt (* x (+ y 0.5))))
0.5b
(cbrt (* x (+ y 0.5)))
0.5b
(cbrt (* x (+ y 0.5)))
0.5b
(cbrt (* x (+ y 0.5)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
22.0ms
(* (cbrt (* x (+ y 0.5))) (cbrt (* x (+ y 0.5))))
11.0ms
(cbrt (* x (+ y 0.5)))
7.0ms
(cbrt (* x (+ y 0.5)))
7.0ms
(cbrt (* x (+ y 0.5)))

series869.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(* (cbrt (* x (+ y 0.5))) (cbrt (* x (+ y 0.5))))
210.0ms
(cbrt (* x (+ y 0.5)))
206.0ms
(cbrt (* x (+ y 0.5)))
206.0ms
(cbrt (* x (+ y 0.5)))

simplify667.0ms

Counts
84 → 84

prune309.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ y 0.5))
0.2b
(cbrt (+ y 0.5))
0.4b
(* (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (cbrt (+ y 0.5)))
0.8b
(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
36×cbrt-prod *-un-lft-identity
35×flip3-+ flip-+
34×associate-*r/
32×frac-times
24×add-sqr-sqrt
20×pow1
16×add-cube-cbrt associate-*l/
15×add-exp-log
14×associate-*r*
9×swap-sqr distribute-lft-out
8×pow1/3 associate-*l* pow-prod-down add-cbrt-cube
7×prod-exp cbrt-unprod
4×add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 132
Calls
4 calls:
8.0ms
(cbrt (+ y 0.5))
8.0ms
(cbrt (+ y 0.5))
241.0ms
(* (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (cbrt (+ y 0.5)))
38.0ms
(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

series435.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(cbrt (+ y 0.5))
110.0ms
(cbrt (+ y 0.5))
57.0ms
(* (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (cbrt (+ y 0.5)))
150.0ms
(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

simplify912.0ms

Counts
144 → 144

prune372.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify30.0ms

end0.0ms

sample784.0ms

Algorithm
intervals
Results
363.0ms9130×body80valid