Details

sample171.0ms

Algorithm

intervals

Results

141.0ms

661×

body

valid

simplify833.0ms

Counts: 1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize85.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fma b b (* a a)) (fma b b (* a a)))
0.1b	(fma (* b b) (+ a 3) (* a (- a (* a a))))
0.1b	(* a (- a (* a a)))
0.0b	(fma (fma (* b b) (+ a 3) (* a (- a (* a a)))) 4 (- (* (fma b b (* a a)) (fma b b (* a a))) 1))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity`
12×	`add-cube-cbrt`
8×	`add-cbrt-cube` `associate-r` `add-exp-log`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `prod-diff`
4×	`expm1-log1p-u` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `flip3--` `distribute-rgt-out--` `pow-sqr` `pow-prod-up` `flip--` `difference-of-squares`

Counts

4 → 87

Calls

4 calls:

Slowest

25.0ms	(* a (- a (* a a)))
11.0ms	(* (fma b b (* a a)) (fma b b (* a a)))
0.0ms	(fma (fma (* b b) (+ a 3) (* a (- a (* a a)))) 4 (- (* (fma b b (* a a)) (fma b b (* a a))) 1))
0.0ms	(fma (* b b) (+ a 3) (* a (- a (* a a))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(fma (fma (* b b) (+ a 3) (* a (- a (* a a)))) 4 (- (* (fma b b (* a a)) (fma b b (* a a))) 1))
84.0ms	(* a (- a (* a a)))
74.0ms	(fma (* b b) (+ a 3) (* a (- a (* a a))))
58.0ms	(* (fma b b (* a a)) (fma b b (* a a)))

simplify1.8s

Counts: 99 → 99

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
18×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
6×	`associate-r` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `associate-l` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `pow-plus` `associate-r/` `-commutative` `fma-udef`
1×	`pow2` `flip3--` `distribute-rgt-out--` `swap-sqr` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

Slowest

44.0ms	(* (* b a) (* b a))
20.0ms	(* a (- a (* a a)))
0.0ms	(fma (* b b) (+ a 3) (* a (- a (* a a))))
0.0ms	(fma (fma (* b b) (+ a 3) (* a (- a (* a a)))) 4 (- (fma (* (* b a) (* b a)) 2 (+ (pow a 4) (pow b 4))) 1))

series307.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(fma (fma (* b b) (+ a 3) (* a (- a (* a a)))) 4 (- (fma (* (* b a) (* b a)) 2 (+ (pow a 4) (pow b 4))) 1))
88.0ms	(* a (- a (* a a)))
50.0ms	(fma (* b b) (+ a 3) (* a (- a (* a a))))
40.0ms	(* (* b a) (* b a))

simplify1.6s

Counts: 106 → 106

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

20.7b	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
20.7b	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
20.7b	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
0.4b	(* (cbrt (* (fma b b (* a a)) (fma b b (* a a)))) (cbrt (* (fma b b (* a a)) (fma b b (* a a)))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`cbrt-prod` `pow1`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `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 → 73

Calls

4 calls:

Slowest

24.0ms	(* (cbrt (* (fma b b (* a a)) (fma b b (* a a)))) (cbrt (* (fma b b (* a a)) (fma b b (* a a)))))
7.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
6.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
6.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))

series534.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

136.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
136.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
135.0ms	(* (cbrt (* (fma b b (* a a)) (fma b b (* a a)))) (cbrt (* (fma b b (* a a)) (fma b b (* a a)))))
127.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))

simplify1.3s

Counts: 85 → 85

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

20.7b	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
20.7b	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
20.7b	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
9.5b	(cbrt (fma b b (* a a)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`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 → 50

Calls

4 calls:

Slowest

6.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
6.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
5.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
1.0ms	(cbrt (fma b b (* a a)))

series551.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

155.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
151.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
133.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))
113.0ms	(cbrt (fma b b (* a a)))

simplify2.0s

Counts: 62 → 62

prune1.1s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

3.1s

20446×

body

valid