Details

sample119.0ms

Algorithm

intervals

Results

97.0ms

682×

body

valid

simplify748.0ms

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

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

77.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
27.0ms	(* 4 (* b b))
11.0ms	(pow (+ (* a a) (* b b)) 2)
7.0ms	(+ (* a a) (* b b))

series227.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

77.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
60.0ms	(pow (+ (* a a) (* b b)) 2)
49.0ms	(+ (* a a) (* b b))
41.0ms	(* 4 (* b b))

simplify2.2s

Counts: 92 → 92

prune915.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

14.5b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
14.5b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
14.5b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
0.4b	(* (cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))) (cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))))

rewrite385.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

Slowest

316.0ms	(* (cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))) (cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))))
25.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
22.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
21.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))

series872.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

262.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
226.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
224.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
160.0ms	(* (cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))) (cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))))

simplify1.0s

Counts: 111 → 111

prune1.6s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

14.5b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
14.5b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
13.9b	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
13.9b	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1` `sqrt-prod`
4×	`expm1-log1p-u` `cbrt-div` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 68

Calls

4 calls:

Slowest

85.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
61.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
37.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
23.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))

series753.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

247.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
234.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
140.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
132.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))

simplify695.0ms

Counts: 80 → 80

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

14.5b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
14.5b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
14.5b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
14.5b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

Slowest

42.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
37.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
21.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
21.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))

series911.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

235.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
233.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
226.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
217.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))

simplify2.5s

Counts: 76 → 76

prune1.4s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes614.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

3.1s

20838×

body

valid