Details

sample151.0ms

Algorithm

intervals

Results

125.0ms

630×

body

valid

simplify210.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

209.0ms

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize57.0ms

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-l`
7×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef` `difference-of-squares` `unswap-sqr`
1×	`flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 73

Calls

4 calls:

Slowest

36.0ms	(* (+ a 3) (* b b))
21.0ms	(* (- 1 a) a)
0.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.0ms	(fma a (* (- 1 a) a) (* (+ a 3) (* b b)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

121.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
76.0ms	(fma a (* (- 1 a) a) (* (+ a 3) (* b b)))
64.0ms	(* (- 1 a) a)
57.0ms	(* (+ a 3) (* b b))

simplify3.2s

Counts

37 → 85

Calls

37 calls:

Slowest

463.0ms	(* (- (* a a) (* 3 3)) (* b b))
290.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
289.0ms	(* (+ (pow a 3) (pow 3 3)) (* b b))
287.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
247.0ms	(- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3))

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize93.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

Slowest

47.0ms	(* (+ a 3) (* b b))
1.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
1.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
1.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))

series772.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

239.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
236.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
220.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
77.0ms	(* (+ a 3) (* b b))

simplify3.2s

Counts

33 → 79

Calls

33 calls:

Slowest

375.0ms	(* (- (* a a) (* 3 3)) (* b b))
304.0ms	(* (+ (pow a 3) (pow 3 3)) (* b b))
286.0ms	(cbrt (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
276.0ms	(cbrt (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
269.0ms	(cbrt (sqrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
7×	`cbrt-prod` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

Slowest

44.0ms	(* (+ a 3) (* b b))
4.0ms	(cbrt (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
1.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
1.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))

series758.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

275.0ms	(cbrt (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
241.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
187.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
55.0ms	(* (+ a 3) (* b b))

simplify2.9s

Counts

31 → 77

Calls

31 calls:

Slowest

328.0ms	(* (- (* a a) (* 3 3)) (* b b))
318.0ms	(* (+ (pow a 3) (pow 3 3)) (* b b))
290.0ms	(cbrt (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
282.0ms	(cbrt (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
281.0ms	(cbrt (sqrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

prune1.4s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
7×	`cbrt-prod` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

Slowest

32.0ms	(* (+ a 3) (* b b))
8.0ms	(cbrt (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
1.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
1.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))

series731.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

258.0ms	(cbrt (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
215.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
192.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
65.0ms	(* (+ a 3) (* b b))

simplify3.0s

Counts

31 → 77

Calls

31 calls:

Slowest

409.0ms	(* (- (* a a) (* 3 3)) (* b b))
313.0ms	(* (+ (pow a 3) (pow 3 3)) (* b b))
307.0ms	(cbrt (sqrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
269.0ms	(cbrt (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
267.0ms	(cbrt (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

prune1.7s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes205.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.8s

20451×

body

valid