Details

sample668.0ms

Algorithm

intervals

Results

44.0ms

346×

body

valid

simplify232.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	11
0	6

prune564.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

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:

31.0ms

(fma (* z y) z x)

series197.0ms

Counts

1 → 3

Calls

1 calls:

197.0ms

(fma (* z y) z x)

simplify21.1s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
5	4252
4	809
3	206
2	65
1	32
0	19

prune131.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma (* z y) z x)) (cbrt (fma (* z y) z x)))
0.5b	(cbrt (fma (* z y) z x))
0.5b	(cbrt (fma (* z y) z x))
0.5b	(cbrt (fma (* z y) z x))

rewrite39.0ms

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:

30.0ms	(* (cbrt (fma (* z y) z x)) (cbrt (fma (* z y) z x)))
2.0ms	(cbrt (fma (* z y) z x))
2.0ms	(cbrt (fma (* z y) z x))
2.0ms	(cbrt (fma (* z y) z x))

series924.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (cbrt (fma (* z y) z x)) (cbrt (fma (* z y) z x)))
180.0ms	(cbrt (fma (* z y) z x))
158.0ms	(cbrt (fma (* z y) z x))
319.0ms	(cbrt (fma (* z y) z x))

simplify8.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	3852
3	1124
2	458
1	192
0	86

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize117.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
37×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
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 → 95

Calls

4 calls:

2.0ms	(cbrt (fma (* z y) z x))
2.0ms	(cbrt (fma (* z y) z x))
2.0ms	(cbrt (fma (* z y) z x))
36.0ms	(* (cbrt (cbrt (fma (* z y) z x))) (cbrt (cbrt (fma (* z y) z x))))

series1.1s

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (fma (* z y) z x))
205.0ms	(cbrt (fma (* z y) z x))
435.0ms	(cbrt (fma (* z y) z x))
252.0ms	(* (cbrt (cbrt (fma (* z y) z x))) (cbrt (cbrt (fma (* z y) z x))))

simplify6.4s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
4	3556
3	1112
2	518
1	218
0	106

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize182.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`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 → 46

Calls

4 calls:

2.0ms	(cbrt (fma (* z y) z x))
11.0ms	(cbrt (* (cbrt (fma (* z y) z x)) (cbrt (fma (* z y) z x))))
11.0ms	(cbrt (* (cbrt (fma (* z y) z x)) (cbrt (fma (* z y) z x))))
11.0ms	(cbrt (* (cbrt (fma (* z y) z x)) (cbrt (fma (* z y) z x))))

series868.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (fma (* z y) z x))
302.0ms	(cbrt (* (cbrt (fma (* z y) z x)) (cbrt (fma (* z y) z x))))
193.0ms	(cbrt (* (cbrt (fma (* z y) z x)) (cbrt (fma (* z y) z x))))
193.0ms	(cbrt (* (cbrt (fma (* z y) z x)) (cbrt (fma (* z y) z x))))

simplify5.6s

Counts

58 → 58

Iterations

Iter	Nodes
done	5003
4	2338
3	760
2	295
1	138
0	66

prune1.3s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes362.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s

10689×

body

valid