Details

sample129.0ms

Algorithm

intervals

Results

105.0ms

677×

body

valid

simplify265.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

264.0ms

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

Slowest

55.0ms	(* (+ a 3) (* b b))
0.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.0ms	(fma 4 (fma a (* (- 1 a) a) (* (+ a 3) (* b b))) (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.0ms	(fma a (* (- 1 a) a) (* (+ a 3) (* b b)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(fma 4 (fma a (* (- 1 a) a) (* (+ a 3) (* b b))) (fma (fma b b (* a a)) (fma b b (* a a)) -1))
118.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
80.0ms	(fma a (* (- 1 a) a) (* (+ a 3) (* b b)))
49.0ms	(* (+ a 3) (* b b))

simplify3.3s

Counts

24 → 70

Calls

24 calls:

Slowest

394.0ms	(* (- (* a a) (* 3 3)) (* b b))
284.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
267.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
267.0ms	(- (+ (pow a 2) (* 3 (pow b 2))) (pow a 3))
251.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

24.9b	(cbrt (* (+ a 3) (* b b)))
24.9b	(cbrt (* (+ a 3) (* b b)))
24.9b	(cbrt (* (+ a 3) (* b b)))
0.8b	(* (+ a 3) (* b b))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

Slowest

34.0ms	(* (+ a 3) (* b b))
27.0ms	(cbrt (* (+ a 3) (* b b)))
12.0ms	(cbrt (* (+ a 3) (* b b)))
12.0ms	(cbrt (* (+ a 3) (* b b)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

101.0ms	(cbrt (* (+ a 3) (* b b)))
85.0ms	(cbrt (* (+ a 3) (* b b)))
79.0ms	(cbrt (* (+ a 3) (* b b)))
48.0ms	(* (+ a 3) (* b b))

simplify6.0s

Counts

33 → 79

Calls

33 calls:

Slowest

456.0ms	(- (+ (exp (* 1/3 (+ (log 3) (* 2 (log b))))) (* 1/9 (* a (exp (* 1/3 (+ (log 3) (* 2 (log b)))))))) (* 1/81 (* (pow a 2) (exp (* 1/3 (+ (log 3) (* 2 (log b))))))))
429.0ms	(cbrt (* (- (* a a) (* 3 3)) (* b b)))
426.0ms	(cbrt (* (- (* a a) (* 3 3)) (* b b)))
415.0ms	(- (+ (exp (* 1/3 (+ (log 3) (* 2 (log b))))) (* 1/9 (* a (exp (* 1/3 (+ (log 3) (* 2 (log b)))))))) (* 1/81 (* (pow a 2) (exp (* 1/3 (+ (log 3) (* 2 (log b))))))))
398.0ms	(* (- (* a a) (* 3 3)) (* b b))

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize77.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (+ a 3) (* b b))
0.3b	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.3b	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.3b	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))

rewrite39.0ms

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

36.0ms	(* (+ 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))

series644.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

214.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
188.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
182.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
60.0ms	(* (+ a 3) (* b b))

simplify3.1s

Counts

33 → 79

Calls

33 calls:

Slowest

420.0ms	(* (- (* a a) (* 3 3)) (* b b))
338.0ms	(* (+ (pow a 3) (pow 3 3)) (* b b))
274.0ms	(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)))
267.0ms	(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))))

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize118.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (+ a 3) (* b b))
0.3b	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.3b	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.3b	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))

rewrite34.0ms

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

31.0ms	(* (+ 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))

series636.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

207.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
188.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
186.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
55.0ms	(* (+ a 3) (* b b))

simplify3.2s

Counts

33 → 79

Calls

33 calls:

Slowest

413.0ms	(* (- (* a a) (* 3 3)) (* b b))
323.0ms	(* (+ (pow a 3) (pow 3 3)) (* b b))
291.0ms	(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))))
280.0ms	(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))))
277.0ms	(cbrt (sqrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

regimes249.0ms

Accuracy

0% (0.1b remaining)

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

bsearch7.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.7s

20571×

body

valid