Details

Time bar (total: 10.6s)

sample36.0ms

Algorithm
intervals
Results
13.0ms256×pre80true
12.0ms256×body80valid

simplify58.0ms

Calls
1 calls:
Slowest
58.0ms
(* (+ a b) (+ a b))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 flip3-+ flip-+
4×frac-times
3×add-sqr-sqrt *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×associate-*l/ associate-*r/
1×pow2 distribute-rgt-in expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp *-commutative pow-prod-up cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
Calls
1 calls:
Slowest
5.0ms
(* (+ a b) (+ a b))

series20.0ms

Calls
1 calls:
Slowest
20.0ms
(* (+ a b) (+ a b))

simplify2.9s

Calls
28 calls:
Slowest
455.0ms
(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))
415.0ms
(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
260.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
230.0ms
(* (- a b) (+ (* a a) (- (* b b) (* a b))))
218.0ms
(* (+ (pow a 3) (pow b 3)) (+ a b))

prune214.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (fma 2 a b) b (* a a))

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Calls
1 calls:
Slowest
0.0ms
(fma (fma 2 a b) b (* a a))

series27.0ms

Calls
1 calls:
Slowest
27.0ms
(fma (fma 2 a b) b (* a a))

simplify290.0ms

Calls
3 calls:
Slowest
111.0ms
(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))
106.0ms
(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))
71.0ms
(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))

prune96.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (* (fma (* a a) a (* (* b b) b)) (+ b a)) (+ (* a a) (- (* b b) (* a b))))
0.3b
(fma (* a a) a (* (* b b) b))
0.3b
(* (fma (* a a) a (* (* b b) b)) (+ b a))
0.1b
(* (* b b) b)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1
4×expm1-log1p-u associate-*l* associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* flip3-+ times-frac associate-*r* flip-+
2×cbrt-undiv div-exp prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/
1×pow2 distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-plus pow3 pow-prod-down fma-udef div-inv associate-/l*
Calls
4 calls:
Slowest
16.0ms
(/ (* (fma (* a a) a (* (* b b) b)) (+ b a)) (+ (* a a) (- (* b b) (* a b))))
5.0ms
(* (fma (* a a) a (* (* b b) b)) (+ b a))
3.0ms
(* (* b b) b)
0.0ms
(fma (* a a) a (* (* b b) b))

series288.0ms

Calls
4 calls:
Slowest
94.0ms
(* (fma (* a a) a (* (* b b) b)) (+ b a))
83.0ms
(/ (* (fma (* a a) a (* (* b b) b)) (+ b a)) (+ (* a a) (- (* b b) (* a b))))
65.0ms
(fma (* a a) a (* (* b b) b))
46.0ms
(* (* b b) b)

simplify5.1s

Calls
42 calls:
Slowest
713.0ms
(/ (* (* (* (fma (* a a) a (* (* b b) b)) (fma (* a a) a (* (* b b) b))) (fma (* a a) a (* (* b b) b))) (* (* (+ b a) (+ b a)) (+ b a))) (* (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))) (+ (* a a) (- (* b b) (* a b)))))
709.0ms
(/ (* (* (* (fma (* a a) a (* (* b b) b)) (+ b a)) (* (fma (* a a) a (* (* b b) b)) (+ b a))) (* (fma (* a a) a (* (* b b) b)) (+ b a))) (* (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))) (+ (* a a) (- (* b b) (* a b)))))
231.0ms
(* (fma (* a a) a (* (* b b) b)) (+ (pow b 3) (pow a 3)))
218.0ms
(* (* (* (fma (* a a) a (* (* b b) b)) (fma (* a a) a (* (* b b) b))) (fma (* a a) a (* (* b b) b))) (* (* (+ b a) (+ b a)) (+ b a)))
207.0ms
(* (fma (* a a) a (* (* b b) b)) (- (* b b) (* a a)))

prune759.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample760.0ms

Algorithm
intervals
Results
350.0ms8000×pre80true
300.0ms8000×body80valid