Details

Time bar (total: 3.5s)

sample35.0ms

Algorithm
intervals
Results
10.0ms56×body640valid
7.0ms143×body80valid
5.0ms37×body320valid
2.0ms20×body160valid

simplify2.0ms

Counts
1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize6.0ms

Local error

Found 1 expressions with local error:

3.0b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
8×distribute-lft-out--
5×add-cube-cbrt
4×difference-of-squares
3×distribute-lft-out add-log-exp
2×div-inv
1×pow1 add-exp-log sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip--
Counts
1 → 25
Calls
1 calls:
111.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify105.0ms

Counts
28 → 28

prune107.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.1b
(/ (* (- 0 1.0) 1.0) (* (+ x 1.0) x))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity associate-*l/
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt div-exp associate-*l*
3×associate-*r*
2×flip3-+ associate-/r/ flip-+ associate-/l/ add-log-exp
1×distribute-lft-neg-out flip3-- frac-2neg times-frac sub0-neg distribute-frac-neg pow-prod-down clear-num associate-/r* *-commutative flip-- div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 47
Calls
2 calls:
27.0ms
(* (+ x 1.0) x)
33.0ms
(/ (* (- 0 1.0) 1.0) (* (+ x 1.0) x))

series93.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (+ x 1.0) x)
38.0ms
(/ (* (- 0 1.0) 1.0) (* (+ x 1.0) x))

simplify66.0ms

Counts
53 → 53

prune135.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ (* (- 0 1.0) 1.0) (+ x 1.0)) x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
28×*-un-lft-identity
20×add-sqr-sqrt add-cube-cbrt
10×add-exp-log add-cbrt-cube associate-/l*
8×associate-/r/
5×cbrt-undiv div-exp div-inv
4×flip3-+ flip-+ distribute-lft-out
3×associate-/r*
2×distribute-frac-neg
1×pow1 distribute-lft-neg-out frac-2neg sub0-neg prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
Counts
1 → 61
Calls
1 calls:
29.0ms
(/ (/ (* (- 0 1.0) 1.0) (+ x 1.0)) x)

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (/ (* (- 0 1.0) 1.0) (+ x 1.0)) x)

simplify56.0ms

Counts
64 → 64

prune160.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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:
62.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))

series567.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
152.0ms
(cbrt (+ x 1.0))
114.0ms
(cbrt (+ x 1.0))
126.0ms
(cbrt (+ x 1.0))

simplify103.0ms

Counts
107 → 107

prune498.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify108.0ms

end0.0ms

sample927.0ms

Algorithm
intervals
Results
284.0ms1919×body640valid
210.0ms4263×body80valid
155.0ms1208×body320valid
85.0ms611×body160valid