Details

Time bar (total: 23.4s)

sample98.0ms

Algorithm
intervals
Results
82.0ms667×body80valid

simplify196.0ms

Calls
1 calls:
Slowest
196.0ms
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1)

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 1 expressions with local error:

0.2b
(fma (fma a a (* b b)) (fma a a (* b b)) (fma 4 (* b b) -1))

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 a a (* b b)) (fma a a (* b b)) (fma 4 (* b b) -1))

series77.0ms

Calls
1 calls:
Slowest
77.0ms
(fma (fma a a (* b b)) (fma a a (* b b)) (fma 4 (* b b) -1))

simplify463.0ms

Calls
3 calls:
Slowest
192.0ms
(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
180.0ms
(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
89.0ms
(- (+ (pow a 4) (* 4 (pow b 2))) 1)

prune211.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (fma a a (* b b)) (fma a a (* b b)))
0.0b
(+ (* (fma a a (* b b)) (fma a a (* b b))) (fma 4 (* b b) -1))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1
5×fma-udef
4×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in expm1-log1p-u associate-+l+ distribute-lft-in insert-posit16 log1p-expm1-u
1×pow2 +-commutative associate-+r+ sum-log fma-def flip3-+ pow-plus pow-prod-down prod-exp *-commutative pow-prod-up cbrt-unprod flip-+
Calls
2 calls:
Slowest
13.0ms
(* (fma a a (* b b)) (fma a a (* b b)))
13.0ms
(+ (* (fma a a (* b b)) (fma a a (* b b))) (fma 4 (* b b) -1))

series94.0ms

Calls
2 calls:
Slowest
54.0ms
(+ (* (fma a a (* b b)) (fma a a (* b b))) (fma 4 (* b b) -1))
39.0ms
(* (fma a a (* b b)) (fma a a (* b b)))

simplify2.1s

Calls
23 calls:
Slowest
418.0ms
(* (* (* (fma a a (* b b)) (fma a a (* b b))) (fma a a (* b b))) (* (* (fma a a (* b b)) (fma a a (* b b))) (fma a a (* b b))))
328.0ms
(* (exp (* (fma a a (* b b)) (fma a a (* b b)))) (exp (fma 4 (* b b) -1)))
179.0ms
(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
173.0ms
(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
167.0ms
(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))

prune521.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* a b) (* a b))
0.0b
(fma 2 (* (* a b) (* a b)) (pow b 4))
0.0b
(+ (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)) (fma 4 (* b b) -1))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×pow1 add-log-exp
5×add-cbrt-cube add-exp-log
4×add-sqr-sqrt fma-def add-cube-cbrt distribute-lft-out
3×expm1-log1p-u sum-log insert-posit16 log1p-expm1-u
2×fma-udef
1×pow2 +-commutative associate-+l+ associate-+r+ flip3-+ pow-plus associate-*r* associate-*l* pow-prod-down prod-exp *-commutative pow-prod-up cbrt-unprod flip-+
Calls
3 calls:
Slowest
40.0ms
(+ (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)) (fma 4 (* b b) -1))
9.0ms
(* (* a b) (* a b))
0.0ms
(fma 2 (* (* a b) (* a b)) (pow b 4))

series134.0ms

Calls
3 calls:
Slowest
62.0ms
(+ (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)) (fma 4 (* b b) -1))
55.0ms
(fma 2 (* (* a b) (* a b)) (pow b 4))
17.0ms
(* (* a b) (* a b))

simplify2.1s

Calls
22 calls:
Slowest
238.0ms
(* (* (* (* a b) (* a b)) (* a b)) (* (* (* a b) (* a b)) (* a b)))
217.0ms
(* (exp (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))) (exp (fma 4 (* b b) -1)))
179.0ms
(* (* (exp (fma 2 (* (* a b) (* a b)) (pow b 4))) (exp (pow a 4))) (exp (fma 4 (* b b) -1)))
178.0ms
(* (cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))) (cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))))
168.0ms
(sqrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)))

prune906.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

19.5b
(cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)))
19.5b
(cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)))
19.5b
(cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)))
0.4b
(* (cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))) (cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
20×cbrt-prod
18×cbrt-div
11×add-sqr-sqrt add-cube-cbrt
9×pow1 flip3-+ flip-+
7×pow1/3 associate-*r* associate-*l*
6×add-exp-log
5×distribute-lft-out
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
28.0ms
(* (cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))) (cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))))
5.0ms
(cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)))
3.0ms
(cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)))
3.0ms
(cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)))

series482.0ms

Calls
4 calls:
Slowest
139.0ms
(cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)))
121.0ms
(* (cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))) (cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))))
113.0ms
(cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)))
110.0ms
(cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)))

simplify10.3s

Calls
64 calls:
Slowest
510.0ms
(* (cbrt (- (* (fma 2 (* (* a b) (* a b)) (pow b 4)) (fma 2 (* (* a b) (* a b)) (pow b 4))) (* (pow a 4) (pow a 4)))) (cbrt (+ (pow (fma 2 (* (* a b) (* a b)) (pow b 4)) 3) (pow (pow a 4) 3))))
447.0ms
(* (cbrt (+ (pow (fma 2 (* (* a b) (* a b)) (pow b 4)) 3) (pow (pow a 4) 3))) (cbrt (- (* (fma 2 (* (* a b) (* a b)) (pow b 4)) (fma 2 (* (* a b) (* a b)) (pow b 4))) (* (pow a 4) (pow a 4)))))
373.0ms
(* (cbrt (- (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))) (cbrt (+ (* (fma 2 (* (* a b) (* a b)) (pow b 4)) (fma 2 (* (* a b) (* a b)) (pow b 4))) (- (* (pow a 4) (pow a 4)) (* (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))))))
359.0ms
(* (cbrt (+ (* (fma 2 (* (* a b) (* a b)) (pow b 4)) (fma 2 (* (* a b) (* a b)) (pow b 4))) (- (* (pow a 4) (pow a 4)) (* (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))))) (cbrt (- (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))))
351.0ms
(* (cbrt (+ (pow (fma 2 (* (* a b) (* a b)) (pow b 4)) 3) (pow (pow a 4) 3))) (cbrt (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))))

prune2.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.2s

Algorithm
intervals
Results
2.8s20529×body80valid