Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

319×

body

valid

simplify302.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (- 1.0 y)))
0.0b	(* z (- 1.0 y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

10.0ms	(+ (* x y) (* z (- 1.0 y)))
21.0ms	(* z (- 1.0 y))

series77.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* x y) (* z (- 1.0 y)))
39.0ms	(* z (- 1.0 y))

simplify1.3s

Counts: 47 → 47

prune94.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
0.0b	(+ (* z 1.0) (* y (- x z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

25.0ms	(* y (- x z))
10.0ms	(+ (* z 1.0) (* y (- x z)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* y (- x z))
43.0ms	(+ (* z 1.0) (* y (- x z)))

simplify1.9s

Counts: 47 → 47

prune94.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (- x z)) (cbrt (- x z)))
0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

48.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
6.0ms	(cbrt (- x z))
8.0ms	(cbrt (- x z))
4.0ms	(cbrt (- x z))

series651.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
174.0ms	(cbrt (- x z))
163.0ms	(cbrt (- x z))
154.0ms	(cbrt (- x z))

simplify1.3s

Counts: 113 → 113

prune447.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (* x x) (* z z))
9.7b	(/ (* (cbrt (- (* x x) (* z z))) (cbrt (- (* x x) (* z z)))) (* (cbrt (+ x z)) (cbrt (+ x z))))
24.5b	(cbrt (- (* x x) (* z z)))
24.5b	(cbrt (- (* x x) (* z z)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`add-exp-log`
9×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+` `add-log-exp`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod`
3×	`difference-of-squares`
2×	`pow1/3`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 78

Calls

4 calls:

14.0ms	(- (* x x) (* z z))
68.0ms	(/ (* (cbrt (- (* x x) (* z z))) (cbrt (- (* x x) (* z z)))) (* (cbrt (+ x z)) (cbrt (+ x z))))
10.0ms	(cbrt (- (* x x) (* z z)))
18.0ms	(cbrt (- (* x x) (* z z)))

series608.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* x x) (* z z))
283.0ms	(/ (* (cbrt (- (* x x) (* z z))) (cbrt (- (* x x) (* z z)))) (* (cbrt (+ x z)) (cbrt (+ x z))))
134.0ms	(cbrt (- (* x x) (* z z)))
154.0ms	(cbrt (- (* x x) (* z z)))

simplify615.0ms

Counts: 90 → 90

prune470.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify265.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

851.0ms

10033×

body

valid