Details

Time bar (total: 18.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms291×body80valid

simplify4.8s

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×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 → 33
Calls
2 calls:
13.0ms
(- (* (+ x 1.0) y) x)
31.0ms
(* (+ x 1.0) y)

series62.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(- (* (+ x 1.0) y) x)
35.0ms
(* (+ x 1.0) y)

simplify990.0ms

Counts
39 → 39

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.2b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite63.0ms

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:
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
48.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series401.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(cbrt (+ x 1.0))
92.0ms
(cbrt (+ x 1.0))
91.0ms
(cbrt (+ x 1.0))
116.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify1.4s

Counts
107 → 107

prune448.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.2b
(* (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt (+ x 1.0)))
0.3b
(* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))

rewrite468.0ms

Algorithm
rewrite-expression-head
Rules
406×cbrt-div
140×frac-times
116×flip3-+ flip-+
82×cbrt-prod
70×associate-*l/
40×*-un-lft-identity
38×add-sqr-sqrt
28×associate-*r/
24×pow1/3
22×pow1
21×add-cube-cbrt
17×associate-*r*
15×add-exp-log
13×swap-sqr
11×associate-*l* pow-prod-down
10×pow-prod-up
9×distribute-lft-out unswap-sqr
7×prod-exp cbrt-unprod
6×add-cbrt-cube
4×pow-sqr add-log-exp
3×pow-plus
2×*-commutative
1×pow2
Counts
4 → 206
Calls
4 calls:
7.0ms
(cbrt (+ x 1.0))
7.0ms
(cbrt (+ x 1.0))
342.0ms
(* (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt (+ x 1.0)))
77.0ms
(* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))

series539.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (+ x 1.0))
120.0ms
(cbrt (+ x 1.0))
120.0ms
(* (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt (+ x 1.0)))
171.0ms
(* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))

simplify1.1s

Counts
218 → 218

prune796.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))
0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.2b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-prod
58×*-un-lft-identity
56×add-sqr-sqrt
28×cbrt-div sqrt-prod
26×add-cube-cbrt
23×swap-sqr
18×pow1
17×associate-*r* associate-*l*
14×flip3-+ pow1/3 flip-+ distribute-lft-out
13×unswap-sqr
12×sqrt-div
8×add-exp-log frac-times
4×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 150
Calls
4 calls:
62.0ms
(* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))
6.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt (+ x 1.0))
58.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series546.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))
128.0ms
(cbrt (+ x 1.0))
138.0ms
(cbrt (+ x 1.0))
155.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify599.0ms

Counts
162 → 162

prune447.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.5s

end0.0ms

sample937.0ms

Algorithm
intervals
Results
258.0ms9127×body80valid