Details

sample17.0ms

Algorithm

intervals

Results

6.0ms

301×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) x)

rewrite9.0ms

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)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(- (* x y) x)

simplify3.2s

Counts

15 → 15

Iterations

Useful iterations: 3 (132.0ms)

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

prune40.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.1b	(* y (* x y))
2.2b	(* x (- (* y (* x y)) x))
28.8b	(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

rewrite214.0ms

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:

8.0ms	(+ (* x y) x)
27.0ms	(* y (* x y))
96.0ms	(* x (- (* y (* x y)) x))
80.0ms	(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

series359.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* x y) x)
23.0ms	(* y (* x y))
120.0ms	(* x (- (* y (* x y)) x))
172.0ms	(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

simplify1.4s

Counts

90 → 90

Iterations

Useful iterations: done (1.4s)

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

prune211.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.1b	(* y (* x y))
0.1b	(/ x (/ (+ (* x y) x) (- (* y (* x y)) x)))
8.7b	(/ (+ (* x y) x) (- (* y (* x y)) x))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

10.0ms	(+ (* x y) x)
19.0ms	(* y (* x y))
77.0ms	(/ x (/ (+ (* x y) x) (- (* y (* x y)) x)))
72.0ms	(/ (+ (* x y) x) (- (* y (* x y)) x))

series309.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* x y) x)
19.0ms	(* y (* x y))
147.0ms	(/ x (/ (+ (* x y) x) (- (* y (* x y)) x)))
90.0ms	(/ (+ (* x y) x) (- (* y (* x y)) x))

simplify1.9s

Counts

150 → 150

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	234	3267
1	526	3143
2	1848	2963
done	5000	2934

prune492.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ x (cbrt (pow (/ (+ (* x y) x) (- (* y (* x y)) x)) 3)))
0.2b	(pow (/ (+ (* x y) x) (- (* y (* x y)) x)) 3)
8.7b	(/ (+ (* x y) x) (- (* y (* x y)) x))
14.2b	(cbrt (pow (/ (+ (* x y) x) (- (* y (* x y)) x)) 3))

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
180×	`cbrt-prod`
146×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
90×	`unpow-prod-down` `cube-prod`
42×	`associate-/r*`
27×	`associate-/r/`
14×	`div-inv`
13×	`flip3--` `flip--`
11×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`cube-mult` `unpow3` `associate-/l*` `sqr-pow`
5×	`pow1`
4×	`add-log-exp`
3×	`cbrt-undiv` `cube-div` `pow-unpow` `div-exp`
2×	`cbrt-div` `frac-2neg` `pow-exp` `clear-num` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `rem-cbrt-cube` `flip-+`

Counts

4 → 299

Calls

4 calls:

186.0ms	(/ x (cbrt (pow (/ (+ (* x y) x) (- (* y (* x y)) x)) 3)))
49.0ms	(pow (/ (+ (* x y) x) (- (* y (* x y)) x)) 3)
51.0ms	(/ (+ (* x y) x) (- (* y (* x y)) x))
62.0ms	(cbrt (pow (/ (+ (* x y) x) (- (* y (* x y)) x)) 3))

series501.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(/ x (cbrt (pow (/ (+ (* x y) x) (- (* y (* x y)) x)) 3)))
115.0ms	(pow (/ (+ (* x y) x) (- (* y (* x y)) x)) 3)
86.0ms	(/ (+ (* x y) x) (- (* y (* x y)) x))
93.0ms	(cbrt (pow (/ (+ (* x y) x) (- (* y (* x y)) x)) 3))

simplify1.4s

Counts

311 → 311

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	345	9734
1	716	8382
2	2276	7546
done	5000	7544

prune681.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

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

sample535.0ms

Algorithm

intervals

Results

228.0ms

9147×

body

valid