Details

sample127.0ms

Algorithm

intervals

Results

103.0ms

630×

body

valid

simplify839.0ms

Counts: 1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.0b	(fma 4 (* b b) (fma (fma b b (* a a)) (fma b b (* a a)) -1))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 22

Calls

2 calls:

Slowest

0.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.0ms	(fma 4 (* b b) (fma (fma b b (* a a)) (fma b b (* a a)) -1))

series257.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

129.0ms	(fma 4 (* b b) (fma (fma b b (* a a)) (fma b b (* a a)) -1))
128.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

simplify512.0ms

Counts: 28 → 28

prune307.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* a a) (* b b)) 2)
0.0b	(* 4 (* b b))
0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `pow1` `add-exp-log`
9×	`fma-def` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`add-log-exp`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `sum-log` `flip3-+` `flip-+` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-r` `pow-exp` `*-commutative` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

Slowest

44.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
13.0ms	(* 4 (* b b))
10.0ms	(+ (* a a) (* b b))
8.0ms	(pow (+ (* a a) (* b b)) 2)

series178.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

70.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
44.0ms	(pow (+ (* a a) (* b b)) 2)
35.0ms	(* 4 (* b b))
29.0ms	(+ (* a a) (* b b))

simplify363.0ms

Counts: 88 → 92

prune854.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
52×	`add-sqr-sqrt`
31×	`unpow-prod-down`
25×	`unswap-sqr`
22×	`*-un-lft-identity` `add-cube-cbrt`
17×	`unpow2` `sqr-pow`
11×	`pow1` `swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 136

Calls

4 calls:

Slowest

62.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
15.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series501.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
124.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
119.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
119.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify427.0ms

Counts: 203 → 148

prune2.0s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
10.4b	(cbrt (+ (* a a) (* b b)))
10.4b	(cbrt (+ (* a a) (* b b)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

Slowest

14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
10.0ms	(cbrt (+ (* a a) (* b b)))
8.0ms	(cbrt (+ (* a a) (* b b)))

series541.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

152.0ms	(cbrt (+ (* a a) (* b b)))
148.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
131.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
110.0ms	(cbrt (+ (* a a) (* b b)))

simplify482.0ms

Counts: 104 → 82

prune1.2s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes616.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

3.1s

20659×

body

valid