Details

sample107.0ms

Algorithm

intervals

Results

86.0ms

661×

body

valid

simplify1.8s

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

Slowest

43.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
17.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
13.0ms	(* (* b b) 4)
7.0ms	(+ (* a a) (* b b))

series233.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

85.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
52.0ms	(* (* b b) 4)
49.0ms	(+ (* a a) (* b b))
47.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify517.0ms

Counts: 94 → 94

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-log-exp`
7×	`add-sqr-sqrt`
6×	`sum-log` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`insert-posit16`
3×	`*-commutative`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

Slowest

75.0ms	(+ (* (* b b) 4) (+ (+ (pow a 4) (* (* 2 (* b a)) (* b a))) (pow b 4)))
44.0ms	(* (* 2 (* b a)) (* b a))
13.0ms	(* 2 (* b a))
13.0ms	(* (* b b) 4)

series183.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

75.0ms	(+ (* (* b b) 4) (+ (+ (pow a 4) (* (* 2 (* b a)) (* b a))) (pow b 4)))
49.0ms	(* (* 2 (* b a)) (* b a))
40.0ms	(* (* b b) 4)
19.0ms	(* 2 (* b a))

simplify952.0ms

Counts: 95 → 95

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

42.3b	(log (* (* a b) (* (* a b) 2)))
1.7b	(exp (log (* (* a b) (* (* a b) 2))))
0.2b	(* (* a b) (* (* a b) 2))
0.0b	(* (* a b) 2)

rewrite354.0ms

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`
7×	`rem-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `insert-posit16` `add-log-exp`
2×	`log-prod` `associate-l` `*-commutative`
1×	`exp-sum` `rem-exp-log`

Counts

4 → 91

Calls

4 calls:

Slowest

186.0ms	(exp (log (* (* a b) (* (* a b) 2))))
80.0ms	(log (* (* a b) (* (* a b) 2)))
56.0ms	(* (* a b) (* (* a b) 2))
28.0ms	(* (* a b) 2)

series206.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

72.0ms	(log (* (* a b) (* (* a b) 2)))
63.0ms	(* (* a b) (* (* a b) 2))
42.0ms	(exp (log (* (* a b) (* (* a b) 2))))
29.0ms	(* (* a b) 2)

simplify2.5s

Counts: 103 → 103

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

23.8b	(cbrt (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b))))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.3b	(* (+ (* a a) (* b b)) (cbrt (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)))))
0.2b	(* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)))

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

196×	`frac-times`
168×	`flip3-+` `flip-+`
104×	`cbrt-div`
74×	`associate-*l/`
68×	`associate-*r/`
32×	`pow1`
16×	`add-sqr-sqrt`
13×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
7×	`pow-plus` `associate-l` `pow-prod-up`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr` `*-commutative` `unswap-sqr`
2×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `pow3`
1×	`pow1/3` `rem-cbrt-cube`

Counts

4 → 230

Calls

4 calls:

Slowest

119.0ms	(* (+ (* a a) (* b b)) (cbrt (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)))))
82.0ms	(* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)))
55.0ms	(cbrt (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b))))
45.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

97.0ms	(* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)))
54.0ms	(* (+ (* a a) (* b b)) (cbrt (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)))))
52.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
42.0ms	(cbrt (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b))))

simplify1.9s

Counts: 242 → 242

prune3.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes213.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

3.0s

20446×

body

valid