Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify20.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
1.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

64.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
12.0ms	(* 1.1283791670955126 (exp z))
30.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
37.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
18.0ms	(* 1.1283791670955126 (exp z))
111.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
133.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.2s

Counts: 83 → 83

prune317.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
0.1b	(* 0.5641895835477563 (pow z 2))
2.0b	(- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))
12.7b	(/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y)))

rewrite586.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-log-exp`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log`
9×	`times-frac`
8×	`associate-r` `add-cbrt-cube`
6×	`sum-log`
4×	`pow1` `unpow-prod-down` `unswap-sqr`
3×	`diff-log` `associate-l` `prod-exp` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `frac-2neg` `flip3-+` `div-exp` `pow-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `flip-+` `div-inv`

Counts

4 → 84

Calls

4 calls:

46.0ms	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
24.0ms	(* 0.5641895835477563 (pow z 2))
294.0ms	(- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))
216.0ms	(/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
28.0ms	(* 0.5641895835477563 (pow z 2))
60.0ms	(- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))
354.0ms	(/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y)))

simplify682.0ms

Counts: 96 → 96

prune263.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`add-log-exp` `difference-of-squares`
2×	`times-frac` `distribute-lft-out--`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `div-inv`

Counts

1 → 17

Calls

1 calls:

11.0ms

(- x (/ 1 x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(- x (/ 1 x))

simplify1.1s

Counts: 20 → 20

prune33.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
1.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
8.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`associate-/r` `associate-/l`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

4 → 82

Calls

4 calls:

15.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
22.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
32.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
82.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
122.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
109.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.3s

Counts: 94 → 94

prune471.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes190.0ms

Accuracy

76.8% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 10.6b

bsearch1.0ms

simplify869.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

853.0ms

8000×

body

valid