Details

sample144.0ms

Algorithm

intervals

Results

117.0ms

661×

body

valid

simplify2.6s

Counts: 1 → 1

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize89.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.1b	(* (+ a 3) (* b b))
0.1b	(* a (* a a))
0.0b	(- (+ (* (+ a 3) (* b b)) (* a a)) (* a (* a a)))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`associate-l` `add-cube-cbrt`
9×	`add-log-exp`
7×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
6×	`pow-prod-up`
5×	`associate-r`
4×	`frac-times` `associate-*l/` `insert-posit16`
3×	`swap-sqr` `*-commutative` `unswap-sqr`
2×	`pow2` `pow-plus` `diff-log` `associate-*r/` `pow-sqr`
1×	`distribute-rgt-in` `sum-log` `sub-neg` `distribute-lft-in` `flip3--` `cube-unmult` `associate--l+` `flip--` `distribute-lft-out`

Counts

4 → 99

Calls

4 calls:

Slowest

121.0ms	(- (+ (* (+ a 3) (* b b)) (* a a)) (* a (* a a)))
47.0ms	(* (+ a 3) (* b b))
35.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
13.0ms	(* a (* a a))

series281.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

88.0ms	(- (+ (* (+ a 3) (* b b)) (* a a)) (* a (* a a)))
76.0ms	(* (+ a 3) (* b b))
71.0ms	(* a (* a a))
46.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify676.0ms

Counts: 111 → 111

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* b a) (* (* b a) 2))
0.1b	(* (+ a 3) (* b b))
0.1b	(* a (* a a))
0.0b	(- (+ (* (+ a 3) (* b b)) (* a a)) (* a (* a a)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1`
35×	`add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
8×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*`
6×	`add-cube-cbrt`
5×	`pow-prod-up`
4×	`insert-posit16`
3×	`associate-r` `*-commutative`
2×	`diff-log` `associate-*l/` `unswap-sqr`
1×	`pow2` `sum-log` `sub-neg` `flip3-+` `pow-plus` `flip3--` `cube-unmult` `associate--l+` `pow-sqr` `flip-+` `flip--` `distribute-lft-out`

Counts

4 → 92

Calls

4 calls:

Slowest

112.0ms	(- (+ (* (+ a 3) (* b b)) (* a a)) (* a (* a a)))
52.0ms	(* (* b a) (* (* b a) 2))
24.0ms	(* (+ a 3) (* b b))
13.0ms	(* a (* a a))

series239.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(- (+ (* (+ a 3) (* b b)) (* a a)) (* a (* a a)))
66.0ms	(* a (* a a))
65.0ms	(* (+ a 3) (* b b))
36.0ms	(* (* b a) (* (* b a) 2))

simplify465.0ms

Counts: 104 → 104

prune1.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize123.0ms

Local error

Found 4 expressions with local error:

42.3b	(log (* (* (* b a) 2) (* b a)))
1.7b	(exp (log (* (* (* b a) 2) (* b a))))
0.2b	(* (* (* b a) 2) (* b a))
0.1b	(* (+ a 3) (* b b))

rewrite365.0ms

Algorithm

rewrite-expression-head

Rules

74×	`pow1`
52×	`add-exp-log`
48×	`pow-prod-down`
33×	`prod-exp`
30×	`add-cbrt-cube`
18×	`cbrt-unprod`
14×	`log-pow`
10×	`exp-prod`
8×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `rem-log-exp`
6×	`add-cube-cbrt`
5×	`associate-l`
4×	`insert-posit16` `add-log-exp`
2×	`log-prod` `associate-r` `associate-l/` `-commutative`
1×	`flip3-+` `exp-sum` `flip-+` `distribute-lft-out` `unswap-sqr` `rem-exp-log`

Counts

4 → 95

Calls

4 calls:

Slowest

201.0ms	(exp (log (* (* (* b a) 2) (* b a))))
72.0ms	(* (* (* b a) 2) (* b a))
61.0ms	(log (* (* (* b a) 2) (* b a)))
28.0ms	(* (+ a 3) (* b b))

series201.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

83.0ms	(log (* (* (* b a) 2) (* b a)))
45.0ms	(* (+ a 3) (* b b))
37.0ms	(* (* (* b a) 2) (* b a))
35.0ms	(exp (log (* (* (* b a) 2) (* b a))))

simplify2.3s

Counts: 107 → 107

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3-+` `flip-+`
50×	`associate-l/` `associate-r/`
12×	`add-sqr-sqrt`
11×	`cbrt-prod` `pow1`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `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 → 169

Calls

4 calls:

Slowest

59.0ms	(* (cbrt (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (cbrt (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))
16.0ms	(cbrt (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
13.0ms	(cbrt (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
12.0ms	(cbrt (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))

series574.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

166.0ms	(cbrt (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
156.0ms	(cbrt (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
131.0ms	(* (cbrt (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (cbrt (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))
120.0ms	(cbrt (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))

simplify1.2s

Counts: 181 → 181

prune3.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample4.3s

Algorithm

intervals

Results

3.9s

20446×

body

valid