Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

320×

body

valid

simplify5.6s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
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 → 33

Calls

2 calls:

53.0ms	(* (- y x) z)
13.0ms	(+ x (* (- y x) z))

series75.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (- y x) z)
42.0ms	(+ x (* (- y x) z))

simplify1.2s

Counts: 39 → 39

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
0.6b	(cbrt (+ x (* (- y x) z)))
0.6b	(cbrt (+ x (* (- y x) z)))
0.6b	(cbrt (+ x (* (- y x) z)))

rewrite74.0ms

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:

59.0ms	(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
3.0ms	(cbrt (+ x (* (- y x) z)))
3.0ms	(cbrt (+ x (* (- y x) z)))
3.0ms	(cbrt (+ x (* (- y x) z)))

series1.4s

Counts

4 → 12

Calls

4 calls:

467.0ms	(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
306.0ms	(cbrt (+ x (* (- y x) z)))
303.0ms	(cbrt (+ x (* (- y x) z)))
317.0ms	(cbrt (+ x (* (- y x) z)))

simplify607.0ms

Counts: 99 → 99

prune371.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
2.4b	(- (* y y) (* x x))
9.7b	(* (- (* y y) (* x x)) z)
19.6b	(/ (* (- (* y y) (* x x)) z) (+ y x))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `difference-of-squares`
1×	`+-commutative` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

29.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
9.0ms	(- (* y y) (* x x))
45.0ms	(* (- (* y y) (* x x)) z)
55.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

series267.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
46.0ms	(- (* y y) (* x x))
57.0ms	(* (- (* y y) (* x x)) z)
79.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

simplify851.0ms

Counts: 85 → 85

prune203.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ y x))
2.4b	(- (* y y) (* x x))
9.7b	(* (- (* y y) (* x x)) z)
19.7b	(* (* (- (* y y) (* x x)) z) (/ 1 (+ y x)))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
32×	`add-exp-log`
25×	`add-sqr-sqrt`
24×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-*l/`
7×	`cbrt-unprod` `distribute-lft-out`
6×	`div-exp` `add-log-exp`
5×	`associate-l`
4×	`flip3--` `pow-prod-down` `associate-/r*` `associate-/r/` `flip--`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `flip3-+` `*-commutative` `flip-+` `div-inv` `difference-of-squares`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

15.0ms	(/ 1 (+ y x))
9.0ms	(- (* y y) (* x x))
47.0ms	(* (- (* y y) (* x x)) z)
114.0ms	(* (* (- (* y y) (* x x)) z) (/ 1 (+ y x)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ 1 (+ y x))
56.0ms	(- (* y y) (* x x))
72.0ms	(* (- (* y y) (* x x)) z)
71.0ms	(* (* (- (* y y) (* x x)) z) (/ 1 (+ y x)))

simplify1.1s

Counts: 130 → 130

prune384.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.5s

end0.0ms

sample872.0ms

Algorithm

intervals

Results

421.0ms

10010×

body

valid