Details

sample55.0ms

Algorithm

intervals

Results

24.0ms

373×

body

valid

simplify37.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

20.0ms	(+ (* x y) (* z t))
37.0ms	(+ (+ (* x y) (* z t)) (* a b))

series131.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* x y) (* z t))
77.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify1.4s

Counts: 30 → 30

prune127.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.3b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
2.0b	(sqrt (+ (* x y) (* z t)))
2.0b	(sqrt (+ (* x y) (* z t)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

14.0ms	(+ (* x y) (* z t))
80.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
21.0ms	(sqrt (+ (* x y) (* z t)))
14.0ms	(sqrt (+ (* x y) (* z t)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* x y) (* z t))
65.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
109.0ms	(sqrt (+ (* x y) (* z t)))
115.0ms	(sqrt (+ (* x y) (* z t)))

simplify652.0ms

Counts: 110 → 110

prune389.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.2b	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
39.7b	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `sum-log` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+l+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 72

Calls

4 calls:

10.0ms	(+ (* x y) (* z t))
39.0ms	(+ (+ (* x y) (* z t)) (* a b))
50.0ms	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
60.0ms	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

series4.8s

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* x y) (* z t))
66.0ms	(+ (+ (* x y) (* z t)) (* a b))
4.6s	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
82.0ms	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

simplify797.0ms

Counts: 84 → 84

prune266.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(* (cbrt (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
30.7b	(cbrt (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))))

rewrite502.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
40×	`flip3-+` `flip-+`
36×	`frac-times`
20×	`add-sqr-sqrt`
18×	`associate-*l/`
13×	`pow1` `cbrt-prod`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
9×	`associate-r`
8×	`add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1/3` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow3` `pow-sqr` `pow-prod-up`

Counts

4 → 118

Calls

4 calls:

196.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
192.0ms	(* (cbrt (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
29.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
77.0ms	(cbrt (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))))

series1.1s

Counts

4 → 12

Calls

4 calls:

586.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
89.0ms	(* (cbrt (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
192.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
275.0ms	(cbrt (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))))

simplify1.1s

Counts: 130 → 130

prune467.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes398.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify24.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

633.0ms

11951×

body

valid