Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

327×

body

valid

simplify162.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:

7.0ms	(+ x (* (- y x) z))
21.0ms	(* (- y x) z)

series73.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* (- y x) z))
40.0ms	(* (- y x) z)

simplify61.0ms

Counts: 39 → 39

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
2.7b	(- (* y y) (* x x))
10.0b	(* (- (* y y) (* x x)) z)
19.6b	(/ (* (- (* y y) (* x x)) z) (+ y x))

rewrite85.0ms

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:

20.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
8.0ms	(- (* y y) (* x x))
31.0ms	(* (- (* y y) (* x x)) z)
25.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

series211.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
35.0ms	(- (* y y) (* x x))
49.0ms	(* (- (* y y) (* x x)) z)
65.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

simplify45.0ms

Counts: 85 → 85

prune176.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ (+ y x) (* (- (* y y) (* x x)) z)))
2.7b	(- (* y y) (* x x))
10.0b	(* (- (* y y) (* x x)) z)
19.5b	(/ (+ y x) (* (- (* y y) (* x x)) z))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

40.0ms	(/ 1 (/ (+ y x) (* (- (* y y) (* x x)) z)))
8.0ms	(- (* y y) (* x x))
26.0ms	(* (- (* y y) (* x x)) z)
34.0ms	(/ (+ y x) (* (- (* y y) (* x x)) z))

series233.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ 1 (/ (+ y x) (* (- (* y y) (* x x)) z)))
39.0ms	(- (* y y) (* x x))
47.0ms	(* (- (* y y) (* x x)) z)
87.0ms	(/ (+ y x) (* (- (* y y) (* x x)) z))

simplify62.0ms

Counts: 141 → 141

prune251.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (* (- y x) z) 3)
1.6b	(+ (* (* (- y x) z) (- (* (- y x) z) x)) (* x x))
4.1b	(+ (pow x 3) (pow (* (- y x) z) 3))
42.1b	(/ (+ (pow x 3) (pow (* (- y x) z) 3)) (+ (* (* (- y x) z) (- (* (- y x) z) x)) (* x x)))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`pow-unpow` `associate-/r*`
2×	`+-commutative` `cube-div` `distribute-rgt-in` `sub-neg` `pow-pow` `distribute-lft-in` `associate-*l/` `pow-exp` `sum-log` `associate-/r/` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `unpow-prod-down` `flip3--` `frac-2neg` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `sqr-pow`

Counts

4 → 91

Calls

4 calls:

11.0ms	(pow (* (- y x) z) 3)
64.0ms	(+ (* (* (- y x) z) (- (* (- y x) z) x)) (* x x))
18.0ms	(+ (pow x 3) (pow (* (- y x) z) 3))
147.0ms	(/ (+ (pow x 3) (pow (* (- y x) z) 3)) (+ (* (* (- y x) z) (- (* (- y x) z) x)) (* x x)))

series836.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(pow (* (- y x) z) 3)
109.0ms	(+ (* (* (- y x) z) (- (* (- y x) z) x)) (* x x))
162.0ms	(+ (pow x 3) (pow (* (- y x) z) 3))
516.0ms	(/ (+ (pow x 3) (pow (* (- y x) z) 3)) (+ (* (* (- y x) z) (- (* (- y x) z) x)) (* x x)))

simplify82.0ms

Counts: 103 → 103

prune301.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample678.0ms

Algorithm

intervals

Results

291.0ms

10165×

body

valid