Details

sample43.0ms

Algorithm

intervals

Results

23.0ms

332×

body

valid

simplify899.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	14	8
2	24	8
3	40	8
4	60	8
5	80	8
6	97	8
7	123	8
8	168	8
9	242	8
10	305	8
11	340	8
12	369	8
13	389	8
14	393	8
done	393	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify1.5s

Counts

13 → 13

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	21	146
1	35	143
2	72	121
3	265	121
4	1659	121
done	5000	121

prune70.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:

1.0ms	(fma z x (* (- 1.0 x) y))
39.0ms	(* (- 1.0 x) y)

series121.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(fma z x (* (- 1.0 x) y))
58.0ms	(* (- 1.0 x) y)

simplify1.5s

Counts

40 → 40

Iterations

Useful iterations: 3 (515.0ms)

Iter	Nodes	Cost
0	65	347
1	130	329
2	409	297
3	1681	293
done	5000	293

prune123.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

5.0ms	(cbrt (- 1.0 x))
5.0ms	(cbrt (- 1.0 x))
5.0ms	(cbrt (- 1.0 x))
51.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series574.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (- 1.0 x))
143.0ms	(cbrt (- 1.0 x))
117.0ms	(cbrt (- 1.0 x))
152.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify2.1s

Counts

121 → 121

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	152	1619
1	332	1459
2	844	1391
3	2095	1271
done	5001	1242

prune579.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(sqrt (* (- 1.0 x) y))
0.0b	(sqrt (* (- 1.0 x) y))
0.2b	(* (sqrt (* (- 1.0 x) y)) (sqrt (* (- 1.0 x) y)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

27.0ms	(* (- 1.0 x) y)
21.0ms	(sqrt (* (- 1.0 x) y))
18.0ms	(sqrt (* (- 1.0 x) y))
99.0ms	(* (sqrt (* (- 1.0 x) y)) (sqrt (* (- 1.0 x) y)))

series481.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (- 1.0 x) y)
158.0ms	(sqrt (* (- 1.0 x) y))
132.0ms	(sqrt (* (- 1.0 x) y))
122.0ms	(* (sqrt (* (- 1.0 x) y)) (sqrt (* (- 1.0 x) y)))

simplify3.3s

Counts

125 → 125

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	133	1427
1	264	1054
2	828	964
3	3310	924
done	5001	916

prune316.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes95.0ms

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	7	8
1	8	8
done	8	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

10090×

body

valid