Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

314×

body

valid

simplify9.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (39.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	92	9
4	190	8
5	409	8
6	586	8
7	695	8
8	901	8
9	1051	8
10	1256	8
11	1500	8
12	2071	8
13	2349	8
14	2564	8
15	2572	8
done	2572	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z (- y 1.0) 1.0)
2.2b	(* (fma z (- y 1.0) 1.0) x)

rewrite8.0ms

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)
7.0ms	(* (fma z (- y 1.0) 1.0) x)

series85.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(fma z (- y 1.0) 1.0)
59.0ms	(* (fma z (- y 1.0) 1.0) x)

simplify919.0ms

Counts

36 → 36

Iterations

Useful iterations: 3 (318.0ms)

Iter	Nodes	Cost
0	52	382
1	108	372
2	319	314
3	1292	310
done	5002	310

prune95.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0)))
2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))

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:

11.0ms	(* (cbrt (fma z (- y 1.0) 1.0)) (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))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))

series529.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0)))
120.0ms	(cbrt (fma z (- y 1.0) 1.0))
118.0ms	(cbrt (fma z (- y 1.0) 1.0))
120.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	120	1730
1	289	1578
2	783	1444
3	2188	1192
done	5000	1145

prune313.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.2b

localize15.0ms

Local error

Found 4 expressions with local error:

2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))

series465.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (fma z (- y 1.0) 1.0))
116.0ms	(cbrt (fma z (- y 1.0) 1.0))
117.0ms	(cbrt (fma z (- y 1.0) 1.0))
115.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify2.0s

Counts

64 → 64

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	62	1048
1	146	996
2	351	920
3	984	792
4	3059	752
done	5000	724

prune288.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.2b

localize20.0ms

Local error

Found 4 expressions with local error:

2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))

series468.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (fma z (- y 1.0) 1.0))
116.0ms	(cbrt (fma z (- y 1.0) 1.0))
116.0ms	(cbrt (fma z (- y 1.0) 1.0))
117.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify2.0s

Counts

64 → 64

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	62	1048
1	146	996
2	351	920
3	984	792
4	3059	752
done	5000	724

prune304.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 2.2b

regimes112.0ms

Accuracy

0% (0.1b remaining)

Error of 3.0b against oracle of 2.9b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample507.0ms

Algorithm

intervals

Results

226.0ms

10070×

body

valid