Details

sample37.0ms

Algorithm

intervals

Results

13.0ms

368×

body

valid

simplify26.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	71
4	71
3	49
2	24
1	14
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (fma y x z) t)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma y (fma y x z) t)

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(fma y (fma y x z) t)

simplify1.5s

Counts

13 → 13

Iterations

Iter	Nodes
done	5004
4	1794
3	364
2	88
1	40
0	23

prune105.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t)))
0.6b	(cbrt (fma y (fma y x z) t))
0.6b	(cbrt (fma y (fma y x z) t))
0.6b	(cbrt (fma y (fma y x z) t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

9.0ms	(* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t)))
1.0ms	(cbrt (fma y (fma y x z) t))
1.0ms	(cbrt (fma y (fma y x z) t))
1.0ms	(cbrt (fma y (fma y x z) t))

series804.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t)))
195.0ms	(cbrt (fma y (fma y x z) t))
211.0ms	(cbrt (fma y (fma y x z) t))
213.0ms	(cbrt (fma y (fma y x z) t))

simplify2.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	3941
3	1149
2	460
1	192
0	87

prune689.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma y (fma y x z) t))
0.6b	(cbrt (fma y (fma y x z) t))
0.6b	(cbrt (fma y (fma y x z) t))
0.6b	(cbrt (fma y (fma y x z) t))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma y (fma y x z) t))
1.0ms	(cbrt (fma y (fma y x z) t))
1.0ms	(cbrt (fma y (fma y x z) t))
1.0ms	(cbrt (fma y (fma y x z) t))

series722.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (fma y (fma y x z) t))
184.0ms	(cbrt (fma y (fma y x z) t))
176.0ms	(cbrt (fma y (fma y x z) t))
156.0ms	(cbrt (fma y (fma y x z) t))

simplify1.7s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
4	1404
3	435
2	171
1	85
0	44

prune599.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma y (fma y x z) t))
0.6b	(cbrt (fma y (fma y x z) t))
0.6b	(cbrt (* (* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t))) (cbrt (fma y (fma y x z) t))))
0.6b	(cbrt (* (* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t))) (cbrt (fma y (fma y x z) t))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`pow3` `rem-cbrt-cube`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (fma y (fma y x z) t))
1.0ms	(cbrt (fma y (fma y x z) t))
29.0ms	(cbrt (* (* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t))) (cbrt (fma y (fma y x z) t))))
22.0ms	(cbrt (* (* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t))) (cbrt (fma y (fma y x z) t))))

series908.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt (fma y (fma y x z) t))
229.0ms	(cbrt (fma y (fma y x z) t))
205.0ms	(cbrt (* (* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t))) (cbrt (fma y (fma y x z) t))))
238.0ms	(cbrt (* (* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t))) (cbrt (fma y (fma y x z) t))))

simplify1.7s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
4	1386
3	452
2	183
1	96
0	54

prune517.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes396.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

587.0ms

11308×

body

valid