Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

284×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	21	7
3	49	7
4	61	7
5	65	7
6	77	7
7	97	7
8	133	7
9	206	7
10	274	7
11	309	7
12	359	7
13	426	7
14	583	7
15	691	7
16	811	7
17	835	7
18	839	7
done	839	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `prod-diff`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

15.0ms	(- (* (+ x 1.0) y) x)
34.0ms	(* (+ x 1.0) y)

series58.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- (* (+ x 1.0) y) x)
33.0ms	(* (+ x 1.0) y)

simplify3.0s

Counts

47 → 47

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	84	459
1	194	400
2	631	367
3	2707	360
done	5000	354

prune122.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (+ x 1.0) y (- x))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(fma (+ x 1.0) y (- x))

simplify2.0s

Counts

13 → 13

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	20	128
1	31	122
2	81	108
3	386	108
4	2568	108
done	5001	108

prune53.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

342.0ms	(* (cbrt y) (cbrt y))
275.0ms	(cbrt y)
294.0ms	(cbrt y)
290.0ms	(cbrt y)

simplify5.3s

Counts

93 → 93

Iterations

Useful iterations: done (5.3s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune362.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
4.0b	(* (- (* x x) (* 1.0 1.0)) y)
5.4b	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
33×	`prod-diff`
26×	`add-cube-cbrt`
25×	`times-frac`
11×	`fma-neg`
10×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
8×	`flip3--` `flip--` `difference-of-squares`
7×	`distribute-lft-out--`
5×	`pow1` `associate-/r*` `div-inv` `add-log-exp`
4×	`associate-l` `associate-*l/`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 114

Calls

3 calls:

105.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
41.0ms	(* (- (* x x) (* 1.0 1.0)) y)
54.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

series257.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
68.0ms	(* (- (* x x) (* 1.0 1.0)) y)
122.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

simplify2.0s

Counts

123 → 123

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	179	2646
1	463	2254
2	1660	1966
done	5001	1800

prune312.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	10	7
done	10	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

340.0ms	9154×	body	80	valid
0.0ms	4×	body	640	valid