Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

332×

body

valid

simplify12.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (55.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize13.0ms

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)

rewrite14.0ms

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)
13.0ms	(* (fma z (- y 1.0) 1.0) x)

series117.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(fma z (- y 1.0) 1.0)
82.0ms	(* (fma z (- y 1.0) 1.0) x)

simplify1.3s

Counts

36 → 36

Iterations

Useful iterations: 3 (449.0ms)

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

prune125.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* (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))

rewrite64.0ms

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:

58.0ms	(* (* (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))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))

series512.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* (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))
162.0ms	(cbrt (fma z (- y 1.0) 1.0))
152.0ms	(cbrt (fma z (- y 1.0) 1.0))
135.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify1.7s

Counts

75 → 75

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	103	1595
1	263	1519
2	829	1047
3	2418	840
done	5000	813

prune251.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (fma z (- y 1.0) 1.0)))
2.4b	(* x (fma z (- y 1.0) 1.0))
2.4b	(* x (fma z (- y 1.0) 1.0))
2.4b	(* x (fma z (- y 1.0) 1.0))

rewrite28.0ms

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`
6×	`fma-udef`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 77

Calls

4 calls:

4.0ms	(cbrt (* x (fma z (- y 1.0) 1.0)))
7.0ms	(* x (fma z (- y 1.0) 1.0))
7.0ms	(* x (fma z (- y 1.0) 1.0))
8.0ms	(* x (fma z (- y 1.0) 1.0))

series466.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt (* x (fma z (- y 1.0) 1.0)))
77.0ms	(* x (fma z (- y 1.0) 1.0))
78.0ms	(* x (fma z (- y 1.0) 1.0))
69.0ms	(* x (fma z (- y 1.0) 1.0))

simplify1.3s

Counts

89 → 89

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	108	1158
1	258	1126
2	703	960
3	2422	918
done	5002	897

prune427.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
2.4b	(* x (fma z (- y 1.0) 1.0))
2.4b	(* x (fma z (- y 1.0) 1.0))
2.7b	(cbrt (fma z (- y 1.0) 1.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

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

series464.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt x)
54.0ms	(* x (fma z (- y 1.0) 1.0))
58.0ms	(* x (fma z (- y 1.0) 1.0))
132.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify1.3s

Counts

82 → 82

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	118	905
1	260	874
2	653	761
3	2088	726
done	5001	717

prune367.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.4b

regimes135.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.3b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

873.0ms

10077×

body

valid