Details

sample12.0ms

Algorithm

intervals

Results

4.0ms

286×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	7	5
2	8	5
done	8	5

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

8.0ms

(- (* x y) x)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(- (* x y) x)

simplify2.3s

Counts

15 → 15

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	26	128
1	61	125
2	168	111
3	480	109
4	1131	109
5	3592	109
done	5001	109

prune28.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) x)
0.0b	(sqrt (- (* x y) x))
0.0b	(sqrt (- (* x y) x))
0.2b	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

7.0ms	(- (* x y) x)
9.0ms	(sqrt (- (* x y) x))
10.0ms	(sqrt (- (* x y) x))
55.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* x y) x)
44.0ms	(sqrt (- (* x y) x))
47.0ms	(sqrt (- (* x y) x))
33.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

simplify3.2s

Counts

111 → 111

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	105	1636
1	199	1153
2	532	1049
3	1491	998
4	4558	974
done	5001	956

prune170.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs (cbrt (- (* x y) x))) (sqrt (- (* x y) x))) (sqrt (cbrt (- (* x y) x))))
0.2b	(* (fabs (cbrt (- (* x y) x))) (sqrt (- (* x y) x)))
0.6b	(cbrt (- (* x y) x))
0.6b	(cbrt (- (* x y) x))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
14×	`sqrt-div`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`cbrt-div` `associate-*r/` `sqrt-prod`
9×	`cbrt-prod` `flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

73.0ms	(* (* (fabs (cbrt (- (* x y) x))) (sqrt (- (* x y) x))) (sqrt (cbrt (- (* x y) x))))
31.0ms	(* (fabs (cbrt (- (* x y) x))) (sqrt (- (* x y) x)))
6.0ms	(cbrt (- (* x y) x))
6.0ms	(cbrt (- (* x y) x))

series302.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (* (fabs (cbrt (- (* x y) x))) (sqrt (- (* x y) x))) (sqrt (cbrt (- (* x y) x))))
57.0ms	(* (fabs (cbrt (- (* x y) x))) (sqrt (- (* x y) x)))
70.0ms	(cbrt (- (* x y) x))
77.0ms	(cbrt (- (* x y) x))

simplify1.2s

Counts

94 → 94

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	218	2427
1	568	2256
2	1769	2015
done	5000	1837

prune267.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.2b	(* y (* x y))
1.9b	(* x (- (* y (* x y)) x))
27.8b	(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

7.0ms	(+ (* x y) x)
15.0ms	(* y (* x y))
62.0ms	(* x (- (* y (* x y)) x))
46.0ms	(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

series259.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* x y) x)
21.0ms	(* y (* x y))
79.0ms	(* x (- (* y (* x y)) x))
128.0ms	(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

simplify1.0s

Counts

90 → 90

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	129	1165
1	323	1124
2	1107	966
done	5001	939

prune140.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	5	5
done	5	5

end0.0ms

sample340.0ms

Algorithm

intervals

Results

133.0ms

9135×

body

valid