Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

368×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	93
5	93
4	80
3	49
2	24
1	14
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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:

0.0ms

(fma y (fma y x z) t)

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(fma y (fma y x z) t)

simplify2.4s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
4	2477
3	373
2	100
1	40
0	23

prune108.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

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))

rewrite25.0ms

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:

19.0ms	(* (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))

series687.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t)))
192.0ms	(cbrt (fma y (fma y x z) t))
167.0ms	(cbrt (fma y (fma y x z) t))
179.0ms	(cbrt (fma y (fma y x z) t))

simplify3.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
3	3431
2	624
1	194
0	87

prune583.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

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))

rewrite7.0ms

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))
2.0ms	(cbrt (fma y (fma y x z) t))

series695.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (fma y (fma y x z) t))
187.0ms	(cbrt (fma y (fma y x z) t))
157.0ms	(cbrt (fma y (fma y x z) t))
169.0ms	(cbrt (fma y (fma y x z) t))

simplify1.6s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
4	2057
3	517
2	176
1	85
0	44

prune540.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize72.0ms

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))
31.0ms	(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))))
20.0ms	(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))))

series794.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (fma y (fma y x z) t))
209.0ms	(cbrt (fma y (fma y x z) t))
188.0ms	(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))))
230.0ms	(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))))

simplify1.6s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
4	2103
3	542
2	188
1	96
0	54

prune590.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes430.0ms

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

sample1.5s

Algorithm

intervals

Results

553.0ms

11308×

body

valid