Details

Time bar (total: 29.4s)

sample40.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
11.0ms256×pre80true

simplify183.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
183.0ms
(+ (* x (* x x)) (* x x))

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u
1×pow2 +-commutative sum-log fma-def distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 44
Calls
2 calls:
Slowest
22.0ms
(+ (* x (* x x)) (* x x))
13.0ms
(* x (* x x))

series147.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
99.0ms
(+ (* x (* x x)) (* x x))
48.0ms
(* x (* x x))

simplify1.6s

Counts
23 → 50
Calls
23 calls:
Slowest
523.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
510.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
292.0ms
(* (exp (* x (* x x))) (exp (* x x)))
29.0ms
(+ (pow x 3) (pow x 2))
29.0ms
(* x (* x x))

prune345.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

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×expm1-log1p-u flip3-+ associate-*r* *-commutative flip-+ insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
Slowest
48.0ms
(* (+ x 1) (* x x))

series70.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
70.0ms
(* (+ x 1) (* x x))

simplify2.6s

Counts
15 → 28
Calls
15 calls:
Slowest
1.1s
(* (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (* x x) (* x x)) (* x x)))
915.0ms
(* (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (* x x) x) (* (* x x) x)))
202.0ms
(* (- (* x x) (* 1 1)) (* x x))
197.0ms
(* (+ (pow x 3) (pow 1 3)) (* x x))
36.0ms
(+ (pow x 3) (pow x 2))

prune173.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

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))

rewrite161.0ms

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×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip--
2×associate-/r/ associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub swap-sqr div-exp associate-*r* associate-*l* prod-diff *-commutative div-inv unswap-sqr
Counts
3 → 143
Calls
3 calls:
Slowest
88.0ms
(/ (- (* (* x x) (* x x)) (* x x)) (- x 1))
40.0ms
(* (* x x) (* x x))
30.0ms
(- (* (* x x) (* x x)) (* x x))

series294.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
156.0ms
(/ (- (* (* x x) (* x x)) (* x x)) (- x 1))
90.0ms
(- (* (* x x) (* x x)) (* x x))
48.0ms
(* (* x x) (* x x))

simplify21.6s

Counts
155 → 152
Calls
155 calls:
Slowest
877.0ms
(/ (* (cbrt (- (* (* x x) (* x x)) (* x x))) (cbrt (- (* (* x x) (* x x)) (* x x)))) (* (cbrt (- x 1)) (cbrt (- x 1))))
559.0ms
(/ (sqrt (- (* (* x x) (* x x)) (* x x))) (- (sqrt x) 1))
556.0ms
(/ (* (cbrt (- (* (* x x) (* x x)) (* x x))) (cbrt (- (* (* x x) (* x x)) (* x x)))) (+ (sqrt x) (sqrt 1)))
543.0ms
(/ (sqrt (- (* (* x x) (* x x)) (* x x))) (+ (sqrt x) (sqrt 1)))
542.0ms
(/ (* (cbrt (- (* (* x x) (* x x)) (* x x))) (cbrt (- (* (* x x) (* x x)) (* x x)))) (+ (sqrt x) 1))

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample912.0ms

Algorithm
intervals
Results
491.0ms8000×body80valid
276.0ms8000×pre80true