Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

316×

body

valid

simplify666.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	14	8
2	24	8
3	35	8
4	52	8
5	71	8
6	87	8
7	113	8
8	170	8
9	296	8
10	423	8
11	475	8
12	487	8
13	489	8
done	489	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- 1.0 x) y (* x z))

rewrite1.0ms

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:

0.0ms

(fma (- 1.0 x) y (* x z))

series38.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma (- 1.0 x) y (* x z))

simplify527.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	21	146
1	35	143
2	76	121
3	247	121
4	1249	121
done	5000	121

prune33.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(fma z x (* (- 1.0 x) y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

10.0ms	(* (- 1.0 x) y)
0.0ms	(fma z x (* (- 1.0 x) y))

series68.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- 1.0 x) y)
37.0ms	(fma z x (* (- 1.0 x) y))

simplify932.0ms

Counts

40 → 40

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	65	347
1	131	329
2	446	293
3	1709	293
done	5001	293

prune91.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(sqrt (- 1.0 x))
0.1b	(* (sqrt (- 1.0 x)) y)
0.1b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

6.0ms	(sqrt (- 1.0 x))
8.0ms	(sqrt (- 1.0 x))
11.0ms	(* (sqrt (- 1.0 x)) y)
25.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series198.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (- 1.0 x))
33.0ms	(sqrt (- 1.0 x))
96.0ms	(* (sqrt (- 1.0 x)) y)
30.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify2.3s

Counts

111 → 111

Iterations

Useful iterations: 3 (463.0ms)

Iter	Nodes	Cost
0	142	1304
1	352	1056
2	1096	958
3	4389	950
done	5000	950

prune296.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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	7	8
1	8	8
done	8	8

end0.0ms

sample464.0ms

Algorithm

intervals

Results

247.0ms

10036×

body

valid