Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

326×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	1750
9	381
8	140
7	100
6	79
5	68
4	53
3	34
2	20
1	13
0	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

6.0ms	(- (* y 1.0) (* (- y z) x))
20.0ms	(* (- y z) x)

series91.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (* y 1.0) (* (- y z) x))
43.0ms	(* (- y z) x)

simplify488.0ms

Counts

40 → 40

Iterations

Iter	Nodes
done	5001
2	773
1	182
0	74

prune172.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

19.0ms	(* (- 1.0 x) y)
24.0ms	(+ (* (- 1.0 x) y) (* x z))

series96.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (- 1.0 x) y)
55.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify578.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	760
1	190
0	71

prune182.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
2.4b	(* (- (pow 1.0 3) (pow x 3)) y)
10.0b	(/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

155.0ms	(+ (/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
84.0ms	(* (- (pow 1.0 3) (pow x 3)) y)
95.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series355.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(+ (/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
80.0ms	(* (- (pow 1.0 3) (pow x 3)) y)
132.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify1.5s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	2484
1	455
0	155

prune562.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y 1.0) (cbrt (pow (* x (- y z)) 3)))
0.0b	(* x (- y z))
0.3b	(pow (* x (- y z)) 3)
31.7b	(cbrt (pow (* x (- y z)) 3))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div` `flip3--` `flip--`
3×	`pow-unpow` `sub-neg` `associate-l`
2×	`distribute-rgt-in` `cube-mult` `cbrt-div` `unpow-prod-down` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `diff-log` `*-commutative` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

15.0ms	(- (* y 1.0) (cbrt (pow (* x (- y z)) 3)))
22.0ms	(* x (- y z))
10.0ms	(pow (* x (- y z)) 3)
4.0ms	(cbrt (pow (* x (- y z)) 3))

series309.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (* y 1.0) (cbrt (pow (* x (- y z)) 3)))
46.0ms	(* x (- y z))
96.0ms	(pow (* x (- y z)) 3)
82.0ms	(cbrt (pow (* x (- y z)) 3))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	2200
1	412
0	145

prune384.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes240.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

516.0ms

10148×

body

valid