Details

sample48.0ms

Algorithm

intervals

Results

27.0ms

346×

body

valid

simplify1.4s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
0.0b	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `associate-*r/` `div-exp` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 35

Calls

2 calls:

24.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
38.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series75.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
45.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify452.0ms

Counts: 41 → 41

prune120.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* 4.0 (/ x y)) 2.0) (* 4.0 (/ z y)))
0.0b	(* 4.0 (/ x y))
0.0b	(* 4.0 (/ z y))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`associate-r`
20×	`times-frac`
19×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
6×	`associate-l`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `div-inv`
1×	`sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `flip--` `flip-+`

Counts

3 → 80

Calls

3 calls:

85.0ms	(- (+ (* 4.0 (/ x y)) 2.0) (* 4.0 (/ z y)))
15.0ms	(* 4.0 (/ x y))
24.0ms	(* 4.0 (/ z y))

series102.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (+ (* 4.0 (/ x y)) 2.0) (* 4.0 (/ z y)))
32.0ms	(* 4.0 (/ x y))
24.0ms	(* 4.0 (/ z y))

simplify786.0ms

Counts: 89 → 89

prune207.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ z y)) (cbrt (/ z y)))
9.8b	(cbrt (/ z y))
9.8b	(cbrt (/ z y))
9.8b	(cbrt (/ z y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

27.0ms	(* (cbrt (/ z y)) (cbrt (/ z y)))
2.0ms	(cbrt (/ z y))
2.0ms	(cbrt (/ z y))
3.0ms	(cbrt (/ z y))

series409.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (cbrt (/ z y)) (cbrt (/ z y)))
78.0ms	(cbrt (/ z y))
111.0ms	(cbrt (/ z y))
84.0ms	(cbrt (/ z y))

simplify820.0ms

Counts: 156 → 156

prune564.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

-33139.6% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify496.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s

10133×

body

valid