Details

Time bar (total: 23.3s)

sample31.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
9.0ms256×pre80true

simplify130.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
129.0ms
(+ (* x (* x x)) (* x x))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* x x))
0.0b
(+ (* x (* x x)) (* x x))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×add-cbrt-cube add-exp-log
5×pow-prod-up
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×pow2 +-commutative sum-log distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 39
Calls
2 calls:
Slowest
35.0ms
(+ (* x (* x x)) (* x x))
25.0ms
(* x (* x x))

series147.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
91.0ms
(+ (* x (* x x)) (* x x))
56.0ms
(* x (* x x))

simplify1.4s

Counts
23 → 45
Calls
23 calls:
Slowest
461.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
423.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
289.0ms
(* (exp (* x (* x x))) (exp (* x x)))
32.0ms
(* x (* x x))
31.0ms
(+ (pow x 3) (pow x 2))

prune326.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (pow x 3) (* x x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×cube-mult
1×add-sqr-sqrt pow1 +-commutative sum-log *-un-lft-identity distribute-lft1-in flip3-+ distribute-rgt-out add-cbrt-cube unpow3 add-exp-log add-cube-cbrt flip-+ insert-posit16 distribute-lft-out
Counts
1 → 15
Calls
1 calls:
Slowest
24.0ms
(+ (pow x 3) (* x x))

series89.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
89.0ms
(+ (pow x 3) (* x x))

simplify341.0ms

Counts
7 → 18
Calls
7 calls:
Slowest
219.0ms
(* (exp (pow x 3)) (exp (* x x)))
28.0ms
(+ (pow x 3) (pow x 2))
22.0ms
(+ (pow x 3) (pow x 2))
22.0ms
(+ (* x x) x)
21.0ms
(+ (* x x) x)

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x 1) (* x x))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
4×*-un-lft-identity associate-*l*
3×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ add-cube-cbrt
1×flip3-+ associate-*r* *-commutative flip-+ insert-posit16 distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
Slowest
44.0ms
(* (+ x 1) (* x x))

series59.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
59.0ms
(* (+ x 1) (* x x))

simplify2.4s

Counts
15 → 26
Calls
15 calls:
Slowest
1.1s
(* (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (* x x) (* x x)) (* x x)))
712.0ms
(* (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (* x x) x) (* (* x x) x)))
204.0ms
(* (+ (pow x 3) (pow 1 3)) (* x x))
151.0ms
(* (- (* x x) (* 1 1)) (* x x))
39.0ms
(* (+ x 1) (* x x))

prune136.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x x) (* x x))
0.0b
(/ (- (* (* x x) (* x x)) (* x x)) (- x 1))
0.0b
(- (* (* x x) (* x x)) (* x x))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
114×pow1
36×add-sqr-sqrt pow-prod-up
31×*-un-lft-identity
28×times-frac
23×pow-prod-down
22×pow-sqr
19×difference-of-squares
18×pow-plus
17×add-cbrt-cube add-exp-log
16×add-cube-cbrt
13×pow2
8×prod-exp cbrt-unprod
7×associate-/r*
5×difference-of-sqr-1 distribute-lft-out-- add-log-exp
4×associate-/l*
3×flip3-- insert-posit16 flip--
2×associate-/r/ associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub swap-sqr div-exp associate-*r* associate-*l* *-commutative div-inv unswap-sqr
Counts
3 → 135
Calls
3 calls:
Slowest
78.0ms
(/ (- (* (* x x) (* x x)) (* x x)) (- x 1))
48.0ms
(- (* (* x x) (* x x)) (* x x))
47.0ms
(* (* x x) (* x x))

series364.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
183.0ms
(/ (- (* (* x x) (* x x)) (* x x)) (- x 1))
140.0ms
(- (* (* x x) (* x x)) (* x x))
40.0ms
(* (* x x) (* x x))

simplify15.5s

Counts
152 → 144
Calls
152 calls:
Slowest
607.0ms
(- (pow (* (* x x) (* x x)) 3) (pow (* x x) 3))
395.0ms
(/ (* (cbrt (- (* (* x x) (* x x)) (* x x))) (cbrt (- (* (* x x) (* x x)) (* x x)))) (* (cbrt (- x 1)) (cbrt (- x 1))))
395.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x)))
353.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
349.0ms
(/ (sqrt (- (* (* x x) (* x x)) (* x x))) (- x 1))

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample930.0ms

Algorithm
intervals
Results
508.0ms8000×body80valid
265.0ms8000×pre80true