Details

Time bar (total: 29.9s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×pre80true
8.0ms256×body80valid

simplify24.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
24.0ms
(* (+ a b) (+ a b))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ a b) (+ a b))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-cbrt-cube add-exp-log
2×associate-*l/ associate-*r/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod insert-posit16 add-log-exp unswap-sqr
Counts
1 → 41
Calls
1 calls:
Slowest
47.0ms
(* (+ a b) (+ a b))

series16.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
16.0ms
(* (+ a b) (+ a b))

simplify4.3s

Counts
55 → 44
Calls
55 calls:
Slowest
395.0ms
(* (+ a b) (- (* a a) (* b b)))
340.0ms
(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))
265.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
260.0ms
(* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b)))
220.0ms
(* (+ a b) (+ (pow a 3) (pow b 3)))

prune277.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (+ (* a 2) b) b) (* a a))
0.0b
(* (+ (* a 2) b) b)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*l/ flip-+ insert-posit16
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
Slowest
20.0ms
(* (+ (* a 2) b) b)
18.0ms
(+ (* (+ (* a 2) b) b) (* a a))

series82.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
57.0ms
(* (+ (* a 2) b) b)
24.0ms
(+ (* (+ (* a 2) b) b) (* a a))

simplify5.2s

Counts
40 → 39
Calls
40 calls:
Slowest
993.0ms
(exp (+ (* (+ (* a 2) b) b) (* a a)))
738.0ms
(* (* (* (+ (* a 2) b) b) (* (+ (* a 2) b) b)) (* (+ (* a 2) b) b))
396.0ms
(+ (pow (* (+ (* a 2) b) b) 3) (pow (* a a) 3))
345.0ms
(* (exp (* (+ (* a 2) b) b)) (exp (* a a)))
319.0ms
(- (* (* (+ (* a 2) b) b) (* (+ (* a 2) b) b)) (* (* a a) (* a a)))

prune348.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (+ (* (+ (* a 2) b) b) (* a a))) (sqrt (+ (* (+ (* a 2) b) b) (* a a))))
0.0b
(sqrt (+ (* (+ (* a 2) b) b) (* a a)))
0.0b
(sqrt (+ (* (+ (* a 2) b) b) (* a a)))
0.0b
(+ (* (+ (* a 2) b) b) (* a a))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log add-log-exp
5×pow-prod-up
4×frac-times insert-posit16 unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*l/ associate-*r/
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
Slowest
108.0ms
(* (sqrt (+ (* (+ (* a 2) b) b) (* a a))) (sqrt (+ (* (+ (* a 2) b) b) (* a a))))
28.0ms
(sqrt (+ (* (+ (* a 2) b) b) (* a a)))
28.0ms
(sqrt (+ (* (+ (* a 2) b) b) (* a a)))
27.0ms
(+ (* (+ (* a 2) b) b) (* a a))

series228.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
87.0ms
(sqrt (+ (* (+ (* a 2) b) b) (* a a)))
85.0ms
(sqrt (+ (* (+ (* a 2) b) b) (* a a)))
32.0ms
(* (sqrt (+ (* (+ (* a 2) b) b) (* a a))) (sqrt (+ (* (+ (* a 2) b) b) (* a a))))
24.0ms
(+ (* (+ (* a 2) b) b) (* a a))

simplify17.1s

Counts
134 → 114
Calls
134 calls:
Slowest
649.0ms
(* (* (* (sqrt (+ (* (+ (* a 2) b) b) (* a a))) (sqrt (+ (* (+ (* a 2) b) b) (* a a)))) (sqrt (+ (* (+ (* a 2) b) b) (* a a)))) (* (* (sqrt (+ (* (+ (* a 2) b) b) (* a a))) (sqrt (+ (* (+ (* a 2) b) b) (* a a)))) (sqrt (+ (* (+ (* a 2) b) b) (* a a)))))
572.0ms
(* (sqrt (+ (* (+ (* a 2) b) b) (* a a))) (sqrt (+ (pow (* (+ (* a 2) b) b) 3) (pow (* a a) 3))))
569.0ms
(* (sqrt (+ (pow (* (+ (* a 2) b) b) 3) (pow (* a a) 3))) (sqrt (+ (pow (* (+ (* a 2) b) b) 3) (pow (* a a) 3))))
561.0ms
(* (* (* (sqrt (+ (* (+ (* a 2) b) b) (* a a))) (sqrt (+ (* (+ (* a 2) b) b) (* a a)))) (* (sqrt (+ (* (+ (* a 2) b) b) (* a a))) (sqrt (+ (* (+ (* a 2) b) b) (* a a))))) (* (sqrt (+ (* (+ (* a 2) b) b) (* a a))) (sqrt (+ (* (+ (* a 2) b) b) (* a a)))))
551.0ms
(exp (+ (* (+ (* a 2) b) b) (* a a)))

prune987.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample933.0ms

Algorithm
intervals
Results
393.0ms8000×pre80true
382.0ms8000×body80valid