Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

303×

body

valid

simplify29.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	19	7
3	43	7
done	43	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

14.0ms	(- (* (+ x 1.0) y) x)
51.0ms	(* (+ x 1.0) y)

series71.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (* (+ x 1.0) y) x)
47.0ms	(* (+ x 1.0) y)

simplify2.4s

Counts

39 → 39

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	63	360
1	149	332
2	526	322
3	2193	304
done	5000	304

prune120.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
0.5b	(cbrt (* (+ x 1.0) y))
0.5b	(cbrt (* (+ x 1.0) y))
0.5b	(cbrt (* (+ x 1.0) y))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

31.0ms	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
12.0ms	(cbrt (* (+ x 1.0) y))
8.0ms	(cbrt (* (+ x 1.0) y))
14.0ms	(cbrt (* (+ x 1.0) y))

series602.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
154.0ms	(cbrt (* (+ x 1.0) y))
154.0ms	(cbrt (* (+ x 1.0) y))
140.0ms	(cbrt (* (+ x 1.0) y))

simplify2.2s

Counts

84 → 84

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	154	1629
1	367	1504
2	983	1383
3	2880	1113
done	5002	1030

prune299.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
3.4b	(* (- (* x x) (* 1.0 1.0)) y)
10.6b	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

82.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
45.0ms	(* (- (* x x) (* 1.0 1.0)) y)
57.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

series231.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
67.0ms	(* (- (* x x) (* 1.0 1.0)) y)
98.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

simplify1.5s

Counts

73 → 73

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	126	1209
1	341	1138
2	1387	1010
done	5000	982

prune242.0ms

Pruning

3 alts after pruning (0 fresh and 3 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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample801.0ms

Algorithm

intervals

Results

405.0ms	9123×	body	80	valid
0.0ms	2×	body	640	valid