Details

Time bar (total: 15.1s)

sample41.0ms

Algorithm
intervals
Results
14.0ms256×pre80true
14.0ms256×body80valid

simplify46.0ms

Calls
1 calls:
Slowest
46.0ms
(* (+ a b) (+ a b))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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 expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Calls
1 calls:
Slowest
23.0ms
(* (+ a b) (+ a b))

series20.0ms

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

simplify3.7s

Calls
45 calls:
Slowest
453.0ms
(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))
412.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
361.0ms
(* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b)))
270.0ms
(* (- a b) (+ (* a a) (- (* b b) (* a b))))
266.0ms
(* (+ (pow a 3) (pow b 3)) (+ a b))

prune359.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

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))

series26.0ms

Calls
1 calls:
Slowest
26.0ms
(fma (fma 2 a b) b (* a a))

simplify323.0ms

Calls
3 calls:
Slowest
113.0ms
(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))
110.0ms
(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))
100.0ms
(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))

prune137.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

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)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1
16×add-cbrt-cube add-exp-log
12×add-sqr-sqrt
11×*-un-lft-identity
9×add-cube-cbrt
7×associate-*r*
6×pow-plus pow-prod-up
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*l* pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* flip3-+ times-frac flip-+
2×pow2 cbrt-undiv div-exp associate-/r/ pow-sqr *-commutative unswap-sqr associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow3 fma-udef div-inv distribute-lft-out associate-/l*
Calls
4 calls:
Slowest
53.0ms
(/ (* (fma (* a a) a (* (* b b) b)) (+ b a)) (+ (* a a) (- (* b b) (* a b))))
17.0ms
(* (fma (* a a) a (* (* b b) b)) (+ b a))
14.0ms
(* (* b b) b)
0.0ms
(fma (* a a) a (* (* b b) b))

series298.0ms

Calls
4 calls:
Slowest
85.0ms
(fma (* a a) a (* (* b b) b))
83.0ms
(* (fma (* a a) a (* (* b b) b)) (+ b a))
74.0ms
(/ (* (fma (* a a) a (* (* b b) b)) (+ b a)) (+ (* a a) (- (* b b) (* a b))))
57.0ms
(* (* b b) b)

simplify7.7s

Calls
59 calls:
Slowest
923.0ms
(/ (* (* (* (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)))))
766.0ms
(/ (* (* (* (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)))))
464.0ms
(* (* (* (* b b) (* b b)) (* b b)) (* (* b b) b))
359.0ms
(+ (pow b 4) (+ (* (pow a 3) b) (* a (pow b 3))))
356.0ms
(* (* (* (* b b) b) (* (* b b) b)) (* (* b b) b))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
715.0ms8000×pre80true
329.0ms8000×body80valid