Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

327×

body

valid

simplify19.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

10.0ms	(+ (* x y) (* (- 1.0 x) z))
23.0ms	(* (- 1.0 x) z)

series73.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* x y) (* (- 1.0 x) z))
37.0ms	(* (- 1.0 x) z)

simplify91.0ms

Counts: 39 → 39

prune81.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
1.5b	(* (- (* 1.0 1.0) (* x x)) z)
7.1b	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

29.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
30.0ms	(* (- (* 1.0 1.0) (* x x)) z)
26.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series167.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
45.0ms	(* (- (* 1.0 1.0) (* x x)) z)
60.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify41.0ms

Counts: 68 → 68

prune186.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.1b	(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.1b	(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.3b	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt` `sqrt-div`
11×	`associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`add-exp-log` `flip3-+` `swap-sqr` `add-cbrt-cube` `flip-+`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `flip3--` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

23.0ms	(* (- 1.0 x) z)
313.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
12.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
65.0ms	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

series404.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (- 1.0 x) z)
160.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
161.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
40.0ms	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

simplify48.0ms

Counts: 121 → 121

prune326.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ (* x y) (* (- 1.0 x) z))))
0.1b	(sqrt (sqrt (+ (* x y) (* (- 1.0 x) z))))
0.2b	(* (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) (pow (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) 3))
0.4b	(pow (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) 3)

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

107×	`sqrt-prod`
74×	`add-sqr-sqrt`
36×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-r` `unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log`
9×	`flip3-+` `associate-l` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 162

Calls

4 calls:

14.0ms	(sqrt (sqrt (+ (* x y) (* (- 1.0 x) z))))
14.0ms	(sqrt (sqrt (+ (* x y) (* (- 1.0 x) z))))
107.0ms	(* (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) (pow (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) 3))
13.0ms	(pow (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) 3)

series740.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(sqrt (sqrt (+ (* x y) (* (- 1.0 x) z))))
190.0ms	(sqrt (sqrt (+ (* x y) (* (- 1.0 x) z))))
41.0ms	(* (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) (pow (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) 3))
299.0ms	(pow (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) 3)

simplify108.0ms

Counts: 174 → 174

prune533.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify26.0ms

end0.0ms

sample962.0ms

Algorithm

intervals

Results

455.0ms

10133×

body

valid