Details

Time bar (total: 8.7s)

sample153.0ms

Algorithm
intervals
Results
17.0ms326×body80valid

simplify32.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
103.0ms
(* (+ x y) z)

series57.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* (+ x y) z)

simplify636.0ms

Counts
24 → 24

prune57.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
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 → 95
Calls
4 calls:
64.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))

series846.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
203.0ms
(cbrt (+ x y))
189.0ms
(cbrt (+ x y))
211.0ms
(cbrt (+ x y))

simplify1.7s

Counts
107 → 107

prune395.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt (+ x y)) z)
0.2b
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*l*
11×add-sqr-sqrt *-un-lft-identity
10×associate-*l/
9×pow1 add-exp-log sqrt-prod add-cbrt-cube
7×add-cube-cbrt flip3-+ flip-+
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative distribute-lft-out add-log-exp unswap-sqr
Counts
2 → 55
Calls
2 calls:
31.0ms
(* (sqrt (+ x y)) z)
73.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series163.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(* (sqrt (+ x y)) z)
80.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify1.5s

Counts
61 → 61

prune169.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ x y) (sqrt z))
0.2b
(* (* (+ x y) (sqrt z)) (sqrt z))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r*
11×add-sqr-sqrt
9×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt sqrt-prod
6×associate-*l/
5×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-+ *-commutative flip-+ add-log-exp unswap-sqr
1×distribute-lft-out
Counts
2 → 48
Calls
2 calls:
28.0ms
(* (+ x y) (sqrt z))
71.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

series106.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* (+ x y) (sqrt z))
40.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

simplify1.5s

Counts
54 → 54

prune139.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify15.0ms

end0.0ms

sample788.0ms

Algorithm
intervals
Results
295.0ms10137×body80valid