Details

sample39.0ms

Algorithm

intervals

Results

18.0ms

326×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (47.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	92	9
4	261	8
5	921	8
6	4701	8
done	5000	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z (- y 1.0) 1.0)
3.3b	(* (fma z (- y 1.0) 1.0) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma z (- y 1.0) 1.0)
8.0ms	(* (fma z (- y 1.0) 1.0) x)

series107.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(fma z (- y 1.0) 1.0)
68.0ms	(* (fma z (- y 1.0) 1.0) x)

simplify1.9s

Counts

36 → 36

Iterations

Useful iterations: 3 (473.0ms)

Iter	Nodes	Cost
0	52	382
1	108	372
2	320	314
3	2899	310
done	5002	310

prune79.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.5b

localize17.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))) (* (cbrt (fma z (- y 1.0) 1.0)) x))
3.6b	(cbrt (fma z (- y 1.0) 1.0))
3.6b	(cbrt (fma z (- y 1.0) 1.0))
3.6b	(cbrt (fma z (- y 1.0) 1.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 63

Calls

4 calls:

41.0ms	(* (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))) (* (cbrt (fma z (- y 1.0) 1.0)) x))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))

series404.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))) (* (cbrt (fma z (- y 1.0) 1.0)) x))
106.0ms	(cbrt (fma z (- y 1.0) 1.0))
132.0ms	(cbrt (fma z (- y 1.0) 1.0))
112.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify2.2s

Counts

75 → 75

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	103	1595
1	265	1519
2	888	1047
3	4607	844
done	5000	841

prune265.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1.0 x (* (* x z) (- y 1.0)))
3.4b	(* (* x z) (- y 1.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

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

series115.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(fma 1.0 x (* (* x z) (- y 1.0)))
53.0ms	(* (* x z) (- y 1.0))

simplify1.9s

Counts

62 → 62

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	128	1051
1	357	884
2	2170	700
done	5000	674

prune111.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.2b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.5b	(* (* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z)) (cbrt (- y 1.0)))
3.0b	(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z))

rewrite490.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-div`
50×	`associate-*l/`
41×	`pow1`
40×	`flip3--` `flip--`
38×	`cbrt-prod`
36×	`add-exp-log` `frac-times`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
23×	`pow-prod-down`
22×	`prod-exp` `cbrt-unprod`
21×	`add-cbrt-cube`
17×	`associate-r`
15×	`add-cube-cbrt`
12×	`associate-*r/`
10×	`swap-sqr` `associate-l`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 167

Calls

4 calls:

4.0ms	(cbrt (- y 1.0))
43.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
319.0ms	(* (* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z)) (cbrt (- y 1.0)))
114.0ms	(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z))

series623.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (- y 1.0))
172.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
77.0ms	(* (* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z)) (cbrt (- y 1.0)))
239.0ms	(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z))

simplify2.4s

Counts

179 → 179

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	295	3622
1	826	3385
2	4137	2926
done	5001	2759

prune550.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes132.0ms

Accuracy

96% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch94.0ms

Steps

Iters	Range		Point
7	174.92574374341007	28918.939680702064	10103.673829566038
10	-2.292661917591485e+23	-171525030493.18375	-348871686386691.06

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	16	36
1	22	27
done	22	27

end0.0ms

sample1.2s

Algorithm

intervals

Results

372.0ms

10074×

body

valid