Details

sample114.0ms

Algorithm

intervals

Results

92.0ms

637×

body

valid

simplify191.0ms

Calls

1 calls:

Slowest

191.0ms

(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (+ a 3) (* b b))
0.2b	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.1b	(fma (- 1 a) (* a a) (* (+ a 3) (* b b)))
0.0b	(fma (fma (- 1 a) (* a a) (* (+ a 3) (* b b))) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `fma-udef`
2×	`associate-*l/`
1×	`flip3-+` `associate-r` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Calls

4 calls:

Slowest

5.0ms	(* (+ a 3) (* b b))
0.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.0ms	(fma (fma (- 1 a) (* a a) (* (+ a 3) (* b b))) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.0ms	(fma (- 1 a) (* a a) (* (+ a 3) (* b b)))

series368.0ms

Calls

4 calls:

Slowest

138.0ms	(fma (fma (- 1 a) (* a a) (* (+ a 3) (* b b))) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
126.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
55.0ms	(fma (- 1 a) (* a a) (* (+ a 3) (* b b)))
49.0ms	(* (+ a 3) (* b b))

simplify2.3s

Calls

19 calls:

Slowest

378.0ms	(* (- (* a a) (* 3 3)) (* b b))
218.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
215.0ms	(- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3))
199.0ms	(- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3))
190.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))

prune867.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (+ a 3) (* b b))
0.2b	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.2b	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.2b	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `fma-udef`
2×	`associate-*l/`
1×	`flip3-+` `associate-r` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Calls

4 calls:

Slowest

5.0ms	(* (+ a 3) (* b b))
0.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

series355.0ms

Calls

4 calls:

Slowest

122.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
101.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
84.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
48.0ms	(* (+ a 3) (* b b))

simplify1.8s

Calls

19 calls:

Slowest

388.0ms	(* (- (* a a) (* 3 3)) (* b b))
184.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
176.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
165.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
158.0ms	(* (* (* (+ a 3) (+ a 3)) (+ a 3)) (* (* (* b b) (* b b)) (* b b)))

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

16.3b	(cbrt (* (* (fma (fma b b (* a a)) (fma b b (* a a)) -1) (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.8b	(* (+ a 3) (* b b))
0.2b	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.2b	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`associate-*l/` `fma-udef`
1×	`cbrt-prod` `flip3-+` `pow1/3` `associate-r` `pow3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `flip-+`

Calls

4 calls:

Slowest

16.0ms	(cbrt (* (* (fma (fma b b (* a a)) (fma b b (* a a)) -1) (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
10.0ms	(* (+ a 3) (* b b))
0.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

series339.0ms

Calls

4 calls:

Slowest

115.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
84.0ms	(cbrt (* (* (fma (fma b b (* a a)) (fma b b (* a a)) -1) (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
80.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
60.0ms	(* (+ a 3) (* b b))

simplify1.8s

Calls

21 calls:

Slowest

352.0ms	(* (- (* a a) (* 3 3)) (* b b))
194.0ms	(cbrt (* (fma (fma b b (* a a)) (fma b b (* a a)) -1) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
173.0ms	(* (* (* (+ a 3) (+ a 3)) (+ a 3)) (* (* (* b b) (* b b)) (* b b)))
149.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
148.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))

prune911.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (+ a 3) (* b b))
0.2b	(* (* a b) (* a b))
0.1b	(fma (- 1 a) (* a a) (* (+ a 3) (* b b)))
0.0b	(fma (fma (- 1 a) (* a a) (* (+ a 3) (* b b))) 4 (+ (fma 2 (* (* a b) (* a b)) (pow a 4)) (pow b 4)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `fma-udef`
1×	`pow2` `flip3-+` `pow-plus` `pow-prod-up` `flip-+`

Calls

4 calls:

Slowest

5.0ms	(* (+ a 3) (* b b))
5.0ms	(* (* a b) (* a b))
0.0ms	(fma (- 1 a) (* a a) (* (+ a 3) (* b b)))
0.0ms	(fma (fma (- 1 a) (* a a) (* (+ a 3) (* b b))) 4 (+ (fma 2 (* (* a b) (* a b)) (pow a 4)) (pow b 4)))

series254.0ms

Calls

4 calls:

Slowest

118.0ms	(fma (fma (- 1 a) (* a a) (* (+ a 3) (* b b))) 4 (+ (fma 2 (* (* a b) (* a b)) (pow a 4)) (pow b 4)))
51.0ms	(* (+ a 3) (* b b))
46.0ms	(fma (- 1 a) (* a a) (* (+ a 3) (* b b)))
38.0ms	(* (* a b) (* a b))

simplify2.0s

Calls

25 calls:

Slowest

327.0ms	(* (- (* a a) (* 3 3)) (* b b))
255.0ms	(- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) (* 4 (pow a 3)))
198.0ms	(* (* (* (* a b) (* a b)) (* a b)) (* (* (* a b) (* a b)) (* a b)))
183.0ms	(- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3))
178.0ms	(- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3))

prune789.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

3.3s

20545×

body

valid