Details

sample97.0ms

Algorithm

intervals

Results

80.0ms

592×

body

valid

simplify848.0ms

Counts: 1 → 1

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`add-cube-cbrt`
6×	`pow1` `add-cbrt-cube` `prod-diff` `add-exp-log`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `fma-udef`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `distribute-rgt-out--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

Slowest

13.0ms	(* a (- a (* a a)))
0.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.0ms	(fma (* b b) (+ a 3) (* a (- a (* a a))))
0.0ms	(fma 4 (fma (* b b) (+ a 3) (* a (- a (* a a)))) (fma (fma b b (* a a)) (fma b b (* a a)) -1))

series444.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

143.0ms	(fma 4 (fma (* b b) (+ a 3) (* a (- a (* a a)))) (fma (fma b b (* a a)) (fma b b (* a a)) -1))
113.0ms	(* a (- a (* a a)))
112.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
76.0ms	(fma (* b b) (+ a 3) (* a (- a (* a a))))

simplify779.0ms

Counts: 80 → 80

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize81.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (fma (* b b) (+ a 3) (* a (- a (* a a)))))
9.6b	(cbrt (fma (* b b) (+ a 3) (* a (- a (* a a)))))
9.6b	(cbrt (fma (* b b) (+ a 3) (* a (- a (* a a)))))
0.4b	(* (cbrt (fma (* b b) (+ a 3) (* a (- a (* a a))))) (cbrt (fma (* b b) (+ a 3) (* a (- a (* a a))))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

Slowest

16.0ms	(* (cbrt (fma (* b b) (+ a 3) (* a (- a (* a a))))) (cbrt (fma (* b b) (+ a 3) (* a (- a (* a a))))))
2.0ms	(cbrt (fma (* b b) (+ a 3) (* a (- a (* a a)))))
1.0ms	(cbrt (fma (* b b) (+ a 3) (* a (- a (* a a)))))
1.0ms	(cbrt (fma (* b b) (+ a 3) (* a (- a (* a a)))))

series902.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

275.0ms	(* (cbrt (fma (* b b) (+ a 3) (* a (- a (* a a))))) (cbrt (fma (* b b) (+ a 3) (* a (- a (* a a))))))
227.0ms	(cbrt (fma (* b b) (+ a 3) (* a (- a (* a a)))))
205.0ms	(cbrt (fma (* b b) (+ a 3) (* a (- a (* a a)))))
195.0ms	(cbrt (fma (* b b) (+ a 3) (* a (- a (* a a)))))

simplify1.6s

Counts: 97 → 97

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 53

Calls

4 calls:

Slowest

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))
0.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

series812.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

246.0ms	(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))
224.0ms	(cbrt (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)

simplify5.1s

Counts: 65 → 65

prune889.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize81.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

Slowest

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))
1.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))

series699.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

184.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
173.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
171.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
170.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))

simplify1.5s

Counts: 68 → 68

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes169.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample4.6s

Algorithm

intervals

Results

4.2s

20613×

body

valid