Details

sample43.0ms

Algorithm

intervals

Results

16.0ms

394×

body

valid

simplify3.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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:

44.0ms	(+ (+ (* x y) (* z t)) (* a b))
9.0ms	(+ (* x y) (* z t))

series144.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (+ (* x y) (* z t)) (* a b))
74.0ms	(+ (* x y) (* z t))

simplify71.0ms

Counts: 30 → 30

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

140.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
17.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
22.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
16.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series820.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
185.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
206.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
166.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify84.0ms

Counts: 99 → 99

prune523.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (- (+ (* x y) (* z t)) (* a b)))
3.5b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
32.6b	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`associate--l+` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `diff-log` `flip-+`

Counts

4 → 55

Calls

4 calls:

22.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
33.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))
43.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
64.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

series1.3s

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
199.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))
611.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
262.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

simplify59.0ms

Counts: 67 → 67

prune409.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
1.9b	(* (* z t) (- (* z t) (* x y)))
2.1b	(+ (pow (* x y) 3) (pow (* z t) 3))
37.6b	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `flip3-+` `flip-+`
3×	`associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `associate-l` `clear-num` `*-commutative` `flip--` `div-inv`

Counts

4 → 91

Calls

4 calls:

51.0ms	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
38.0ms	(* (* z t) (- (* z t) (* x y)))
18.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
130.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

series618.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
67.0ms	(* (* z t) (- (* z t) (* x y)))
261.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
188.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

simplify102.0ms

Counts: 103 → 103

prune417.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes352.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

11959×

body

valid