Details

sample41.0ms

Algorithm

intervals

Results

15.0ms

369×

body

valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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:

68.0ms	(+ (+ (* x y) (* z t)) (* a b))
12.0ms	(+ (* x y) (* z t))

series149.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(+ (+ (* x y) (* z t)) (* a b))
59.0ms	(+ (* x y) (* z t))

simplify89.0ms

Counts: 30 → 30

prune112.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.9b	(cbrt (+ (* x y) (* z t)))
1.9b	(cbrt (+ (* x y) (* z t)))
1.9b	(cbrt (+ (* x y) (* z t)))

rewrite75.0ms

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:

56.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
126.0ms	(cbrt (+ (* x y) (* z t)))
133.0ms	(cbrt (+ (* x y) (* z t)))
173.0ms	(cbrt (+ (* x y) (* z t)))

simplify80.0ms

Counts: 99 → 99

prune496.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.9b	(cbrt (+ (* x y) (* z t)))
1.9b	(cbrt (+ (* x y) (* z t)))
1.9b	(cbrt (+ (* x y) (* z t)))

rewrite98.0ms

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:

71.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
7.0ms	(cbrt (+ (* x y) (* z t)))
7.0ms	(cbrt (+ (* x y) (* z t)))
8.0ms	(cbrt (+ (* x y) (* z t)))

series659.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
154.0ms	(cbrt (+ (* x y) (* z t)))
160.0ms	(cbrt (+ (* x y) (* z t)))
150.0ms	(cbrt (+ (* x y) (* z t)))

simplify82.0ms

Counts: 99 → 99

prune481.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

19.2b	(/ (* (cbrt (+ (pow (* x y) 3) (pow (* z t) 3))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t))))) (cbrt (- (* x y) (* z t)))))
24.6b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
24.6b	(cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
33.9b	(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
16×	`add-exp-log`
12×	`cbrt-prod`
9×	`*-un-lft-identity`
8×	`frac-times` `flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+` `associate-/l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `flip3--` `flip--`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-cubes` `div-inv` `distribute-lft-out` `associate-/l` `difference-of-squares`

Counts

4 → 79

Calls

4 calls:

181.0ms	(/ (* (cbrt (+ (pow (* x y) 3) (pow (* z t) 3))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t))))) (cbrt (- (* x y) (* z t)))))
33.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
115.0ms	(cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
22.0ms	(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

series778.0ms

Counts

4 → 12

Calls

4 calls:

324.0ms	(/ (* (cbrt (+ (pow (* x y) 3) (pow (* z t) 3))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t))))) (cbrt (- (* x y) (* z t)))))
128.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
179.0ms	(cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
147.0ms	(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

simplify112.0ms

Counts: 91 → 91

prune872.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes444.0ms

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

sample1.7s

Algorithm

intervals

Results

813.0ms

11976×

body

valid