Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

321×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	14	8
2	24	8
3	40	8
4	67	8
5	94	8
6	111	8
7	137	8
8	189	8
9	476	8
10	2059	8
done	5001	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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:

1.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify3.6s

Counts

13 → 13

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	21	146
1	35	143
2	76	121
3	406	121
4	4458	121
done	5000	121

prune49.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:

0.0ms	(fma z x (* (- 1.0 x) y))
38.0ms	(* (- 1.0 x) y)

series108.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(fma z x (* (- 1.0 x) y))
47.0ms	(* (- 1.0 x) y)

simplify4.0s

Counts

40 → 40

Iterations

Useful iterations: 3 (820.0ms)

Iter	Nodes	Cost
0	65	347
1	135	332
2	483	295
3	4819	293
done	5000	293

prune138.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite162.0ms

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:

15.0ms	(sqrt (- 1.0 x))
17.0ms	(sqrt (- 1.0 x))
37.0ms	(* (sqrt (- 1.0 x)) y)
88.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series220.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sqrt (- 1.0 x))
33.0ms	(sqrt (- 1.0 x))
101.0ms	(* (sqrt (- 1.0 x)) y)
49.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify885.0ms

Counts

111 → 111

Iterations

Useful iterations: done (878.0ms)

Iter	Nodes	Cost
0	142	1304
1	354	1182
2	1406	958
done	5000	954

prune335.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `sqrt-prod`
20×	`sqrt-div`
15×	`add-exp-log` `add-cbrt-cube`
13×	`add-cube-cbrt`
10×	`associate-*l/`
8×	`pow1` `flip3--` `associate-l` `flip--` `associate-/l/`
7×	`times-frac` `associate-/r*`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `distribute-lft-out`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `associate-/r/` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `hypot-def` `div-inv` `associate-/l`

Counts

4 → 109

Calls

4 calls:

11.0ms	(sqrt (- 1.0 x))
8.0ms	(sqrt (+ 1.0 x))
63.0ms	(/ (* (sqrt (- (* 1.0 1.0) (* x x))) (* (sqrt (- 1.0 x)) y)) (sqrt (+ 1.0 x)))
23.0ms	(* (sqrt (- 1.0 x)) y)

series435.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt (- 1.0 x))
38.0ms	(sqrt (+ 1.0 x))
253.0ms	(/ (* (sqrt (- (* 1.0 1.0) (* x x))) (* (sqrt (- 1.0 x)) y)) (sqrt (+ 1.0 x)))
94.0ms	(* (sqrt (- 1.0 x)) y)

simplify1.3s

Counts

121 → 121

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	208	1881
1	533	1692
2	2435	1519
done	5000	1504

prune630.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes58.0ms

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

sample1.3s

Algorithm

intervals

Results

505.0ms

10154×

body

valid