Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

329×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	3906
8	1110
7	348
6	131
5	55
4	49
3	39
2	25
1	15
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

30.0ms	(* y (+ x z))
13.0ms	(+ (* y (+ x z)) x)

series82.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* y (+ x z))
46.0ms	(+ (* y (+ x z)) x)

simplify602.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
2	939
1	200
0	66

prune199.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (* (+ x z) y)) (sqrt (* (+ x z) y))) x)
0.3b	(* (sqrt (* (+ x z) y)) (sqrt (* (+ x z) y)))
2.3b	(sqrt (* (+ x z) y))
2.3b	(sqrt (* (+ x z) y))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*l/`
16×	`sqrt-div`
12×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log` `pow-sqr` `sqrt-prod` `add-log-exp`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l`
2×	`associate-*r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

81.0ms	(+ (* (sqrt (* (+ x z) y)) (sqrt (* (+ x z) y))) x)
59.0ms	(* (sqrt (* (+ x z) y)) (sqrt (* (+ x z) y)))
6.0ms	(sqrt (* (+ x z) y))
6.0ms	(sqrt (* (+ x z) y))

series353.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* (sqrt (* (+ x z) y)) (sqrt (* (+ x z) y))) x)
26.0ms	(* (sqrt (* (+ x z) y)) (sqrt (* (+ x z) y)))
125.0ms	(sqrt (* (+ x z) y))
155.0ms	(sqrt (* (+ x z) y))

simplify736.0ms

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	1397
1	296
0	118

prune445.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

2.3b	(sqrt (* y (+ z x)))
2.3b	(sqrt (* y (+ z x)))
2.3b	(sqrt (* y (+ z x)))
2.3b	(sqrt (* (+ x z) y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
8×	`sqrt-pow1` `sqrt-div`
6×	`associate-*r/`
4×	`add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `pow1/2` `pow-prod-down` `add-exp-log` `add-cube-cbrt` `sqrt-prod` `flip-+` `add-log-exp`
2×	`associate-*l/`

Counts

4 → 52

Calls

4 calls:

11.0ms	(sqrt (* y (+ z x)))
11.0ms	(sqrt (* y (+ z x)))
11.0ms	(sqrt (* y (+ z x)))
11.0ms	(sqrt (* (+ x z) y))

series367.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sqrt (* y (+ z x)))
58.0ms	(sqrt (* y (+ z x)))
82.0ms	(sqrt (* y (+ z x)))
162.0ms	(sqrt (* (+ x z) y))

simplify3.0s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	4448
2	734
1	205
0	89

prune433.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x z) y)
0.0b	(+ (cbrt (pow (* (+ x z) y) 3)) x)
0.3b	(pow (* (+ x z) y) 3)
36.6b	(cbrt (pow (* (+ x z) y) 3))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

20.0ms	(* (+ x z) y)
15.0ms	(+ (cbrt (pow (* (+ x z) y) 3)) x)
8.0ms	(pow (* (+ x z) y) 3)
3.0ms	(cbrt (pow (* (+ x z) y) 3))

series162.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (+ x z) y)
38.0ms	(+ (cbrt (pow (* (+ x z) y) 3)) x)
58.0ms	(pow (* (+ x z) y) 3)
33.0ms	(cbrt (pow (* (+ x z) y) 3))

simplify1.6s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	2367
1	369
0	124

prune384.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes190.0ms

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	9
1	9
0	6

end0.0ms

sample902.0ms

Algorithm

intervals

Results

434.0ms

10171×

body

valid