Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

301×

body

valid

simplify56.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
11.0b	(/ (* x (+ (- y z) 1.0)) z)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

89.0ms	(* x (+ (- y z) 1.0))
78.0ms	(/ (* x (+ (- y z) 1.0)) z)

series97.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* x (+ (- y z) 1.0))
51.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify28.0ms

Counts: 53 → 53

prune163.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
0.0b	(+ (/ (* x y) z) (* 1.0 (/ x z)))
4.4b	(/ (* x y) z)

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

149.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
26.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
17.0ms	(/ (* x y) z)

series138.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
62.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
32.0ms	(/ (* x y) z)

simplify32.0ms

Counts: 58 → 58

prune126.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* (* x y) (/ 1 z)) (* 1.0 (/ x z))) x)
0.0b	(+ (* (* x y) (/ 1 z)) (* 1.0 (/ x z)))
4.4b	(* (* x y) (/ 1 z))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

160.0ms	(- (+ (* (* x y) (/ 1 z)) (* 1.0 (/ x z))) x)
23.0ms	(+ (* (* x y) (/ 1 z)) (* 1.0 (/ x z)))
30.0ms	(* (* x y) (/ 1 z))

series119.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (+ (* (* x y) (/ 1 z)) (* 1.0 (/ x z))) x)
47.0ms	(+ (* (* x y) (/ 1 z)) (* 1.0 (/ x z)))
26.0ms	(* (* x y) (/ 1 z))

simplify60.0ms

Counts: 76 → 76

prune179.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x))
4.4b	(/ (* x y) z)
4.4b	(/ (* x y) z)
4.4b	(/ (* x y) z)

rewrite419.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`times-frac` `associate-/r*`
6×	`cbrt-undiv` `div-exp`
5×	`cbrt-prod`
4×	`pow1` `add-log-exp`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`
2×	`cbrt-div`
1×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

372.0ms	(cbrt (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x))
16.0ms	(/ (* x y) z)
11.0ms	(/ (* x y) z)
17.0ms	(/ (* x y) z)

series292.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x))
28.0ms	(/ (* x y) z)
28.0ms	(/ (* x y) z)
29.0ms	(/ (* x y) z)

simplify28.0ms

Counts: 90 → 90

prune269.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

57.2% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 3.5b

bsearch62.0ms

Steps

Iters	Range		Point
4	2.1247868065601992e-23	3.219064609783079e-23	2.966491335278021e-23
9	-238404123.44529566	-2.921513544512531	-6505.692513803455

simplify32.0ms

end0.0ms

sample935.0ms

Algorithm

intervals

Results

452.0ms

10135×

body

valid