Details

sample107.0ms

Algorithm

intervals

Results

83.0ms

661×

body

valid

simplify4.4s

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (fma b b (* a a)) (fma b b (* a a)) (* (* b b) 4))
0.0b	(* (* b b) 4)
0.0b	(fma b b (* a a))
0.0b	(fma b b (* a a))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

Slowest

16.0ms	(* (* b b) 4)
1.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) (* (* b b) 4))
0.0ms	(fma b b (* a a))
0.0ms	(fma b b (* a a))

series261.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

97.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) (* (* b b) 4))
70.0ms	(fma b b (* a a))
60.0ms	(fma b b (* a a))
34.0ms	(* (* b b) 4)

simplify2.7s

Counts: 67 → 67

prune817.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 3 expressions with local error:

0.3b	(fma (fma a a (* b b)) (fma b b (* a a)) (* (* b b) 4))
0.0b	(* (* b b) 4)
0.0b	(fma b b (* a a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

Slowest

14.0ms	(* (* b b) 4)
0.0ms	(fma (fma a a (* b b)) (fma b b (* a a)) (* (* b b) 4))
0.0ms	(fma b b (* a a))

series199.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

107.0ms	(fma (fma a a (* b b)) (fma b b (* a a)) (* (* b b) 4))
51.0ms	(fma b b (* a a))
41.0ms	(* (* b b) 4)

simplify2.4s

Counts: 53 → 53

prune729.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* b a) (* b a))
0.0b	(fma 2 (* (* b a) (* b a)) (pow a 4))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1`
17×	`pow-prod-down`
14×	`add-cbrt-cube` `add-exp-log`
8×	`prod-exp` `cbrt-unprod`
4×	`pow-sqr` `pow-prod-up`
2×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `pow-plus` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `*-commutative` `fma-udef`

Counts

2 → 48

Calls

2 calls:

Slowest

55.0ms	(* (* b a) (* b a))
0.0ms	(fma 2 (* (* b a) (* b a)) (pow a 4))

series171.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

113.0ms	(fma 2 (* (* b a) (* b a)) (pow a 4))
57.0ms	(* (* b a) (* b a))

simplify848.0ms

Counts: 54 → 54

prune761.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

23.8b	(cbrt (* (* (fma b b (* a a)) (fma b b (* a a))) (fma b b (* a a))))
0.3b	(* (fma b b (* a a)) (fma b b (* a a)))
0.3b	(fma (fma a a (* b b)) (cbrt (* (* (fma b b (* a a)) (fma b b (* a a))) (fma b b (* a a)))) (* (* b b) 4))
0.2b	(* (* (fma b b (* a a)) (fma b b (* a a))) (fma b b (* a a)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
5×	`fma-udef`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 87

Calls

4 calls:

Slowest

38.0ms	(* (* (fma b b (* a a)) (fma b b (* a a))) (fma b b (* a a)))
20.0ms	(cbrt (* (* (fma b b (* a a)) (fma b b (* a a))) (fma b b (* a a))))
12.0ms	(* (fma b b (* a a)) (fma b b (* a a)))
1.0ms	(fma (fma a a (* b b)) (cbrt (* (* (fma b b (* a a)) (fma b b (* a a))) (fma b b (* a a)))) (* (* b b) 4))

series330.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(* (* (fma b b (* a a)) (fma b b (* a a))) (fma b b (* a a)))
94.0ms	(fma (fma a a (* b b)) (cbrt (* (* (fma b b (* a a)) (fma b b (* a a))) (fma b b (* a a)))) (* (* b b) 4))
67.0ms	(cbrt (* (* (fma b b (* a a)) (fma b b (* a a))) (fma b b (* a a))))
62.0ms	(* (fma b b (* a a)) (fma b b (* a a)))

simplify897.0ms

Counts: 99 → 99

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes201.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch2.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.8s

20446×

body

valid