Details

sample75.0ms

Algorithm

intervals

Results

36.0ms

330×

body

valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
3	13
2	11
1	9
0	6

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y z) y x)

series318.0ms

Counts

1 → 3

Calls

1 calls:

318.0ms

(fma (/ y z) y x)

simplify9.5s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
5	2538
4	604
3	170
2	59
1	28
0	19

prune122.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
0.5b	(cbrt (fma (/ y z) y x))
0.5b	(cbrt (fma (/ y z) y x))
0.5b	(cbrt (fma (/ y z) y x))

rewrite33.0ms

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:

24.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
2.0ms	(cbrt (fma (/ y z) y x))
2.0ms	(cbrt (fma (/ y z) y x))
2.0ms	(cbrt (fma (/ y z) y x))

series732.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
191.0ms	(cbrt (fma (/ y z) y x))
186.0ms	(cbrt (fma (/ y z) y x))
171.0ms	(cbrt (fma (/ y z) y x))

simplify3.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	1248
2	425
1	172
0	85

prune875.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize162.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y z) y x))
0.5b	(cbrt (fma (/ y z) y x))
0.5b	(cbrt (fma (/ y z) y x))
0.5b	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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 → 50

Calls

4 calls:

2.0ms	(cbrt (fma (/ y z) y x))
2.0ms	(cbrt (fma (/ y z) y x))
2.0ms	(cbrt (fma (/ y z) y x))
12.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

series888.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (fma (/ y z) y x))
201.0ms	(cbrt (fma (/ y z) y x))
196.0ms	(cbrt (fma (/ y z) y x))
288.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

simplify4.6s

Counts

62 → 62

Iterations

Iter	Nodes
done	5004
4	2936
3	766
2	252
1	117
0	65

prune716.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize174.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 92

Calls

4 calls:

51.0ms	(* (cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))) (cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))))
6.0ms	(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))
5.0ms	(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))
4.0ms	(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))

series797.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(* (cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))) (cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))))
189.0ms	(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))
194.0ms	(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))
183.0ms	(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))

simplify8.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
4	3632
3	1185
2	421
1	189
0	100

prune1.6s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.0s

10697×

body

valid