Details

sample54.0ms

Algorithm

intervals

Results

27.0ms

324×

body

valid

simplify13.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (78.0ms)

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: 2.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z (- y 1.0) 1.0)
2.4b	(* (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)

series97.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(fma z (- y 1.0) 1.0)
59.0ms	(* (fma z (- y 1.0) 1.0) x)

simplify1.4s

Counts

36 → 36

Iterations

Useful iterations: 3 (487.0ms)

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

prune141.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.4b

localize22.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (* (* (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)
2.7b	(cbrt (fma z (- y 1.0) 1.0))
2.7b	(cbrt (fma z (- y 1.0) 1.0))
2.7b	(cbrt (fma z (- y 1.0) 1.0))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

146.0ms	(* (* (* (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)
2.0ms	(cbrt (fma z (- y 1.0) 1.0))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))

series551.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (* (* (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)
179.0ms	(cbrt (fma z (- y 1.0) 1.0))
160.0ms	(cbrt (fma z (- y 1.0) 1.0))
143.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify2.0s

Counts

74 → 74

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	108	1548
1	268	1481
2	847	1006
3	2542	830
done	5002	799

prune283.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.4b

localize17.0ms

Local error

Found 4 expressions with local error:

2.7b	(cbrt (fma z (- y 1.0) 1.0))
2.7b	(cbrt (fma z (- y 1.0) 1.0))
2.7b	(cbrt (fma z (- y 1.0) 1.0))
2.7b	(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))

series529.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (fma z (- y 1.0) 1.0))
130.0ms	(cbrt (fma z (- y 1.0) 1.0))
166.0ms	(cbrt (fma z (- y 1.0) 1.0))
122.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify2.5s

Counts

64 → 64

Iterations

Useful iterations: done (2.5s)

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

prune376.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (fma z (- y 1.0) 1.0) x))
2.4b	(* (fma z (- y 1.0) 1.0) x)
2.4b	(* (fma z (- y 1.0) 1.0) x)
2.4b	(* (fma z (- y 1.0) 1.0) x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

3.0ms	(cbrt (* (fma z (- y 1.0) 1.0) x))
7.0ms	(* (fma z (- y 1.0) 1.0) x)
12.0ms	(* (fma z (- y 1.0) 1.0) x)
9.0ms	(* (fma z (- y 1.0) 1.0) x)

series451.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (* (fma z (- y 1.0) 1.0) x))
77.0ms	(* (fma z (- y 1.0) 1.0) x)
81.0ms	(* (fma z (- y 1.0) 1.0) x)
76.0ms	(* (fma z (- y 1.0) 1.0) x)

simplify1.7s

Counts

83 → 83

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	104	1098
1	252	1066
2	746	912
3	2532	858
done	5001	837

prune264.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 2.4b

regimes191.0ms

Accuracy

0% (0.2b remaining)

Error of 3.6b against oracle of 3.5b and baseline of 3.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.0s

Algorithm

intervals

Results

504.0ms

10086×

body

valid