Details

sample70.0ms

Algorithm

intervals

Results

12.0ms

348×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	15	6
3	16	6
done	16	6

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

4.0ms

(fma (* y z) z x)

series90.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(fma (* y z) z x)

simplify3.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	19	104
1	31	102
2	63	90
3	180	90
4	583	90
5	2669	90
done	5000	90

prune69.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:

20.0ms	(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
2.0ms	(cbrt (fma (* y z) z x))
2.0ms	(cbrt (fma (* y z) z x))
2.0ms	(cbrt (fma (* y z) z x))

series1.1s

Counts

4 → 12

Calls

4 calls:

275.0ms	(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
244.0ms	(cbrt (fma (* y z) z x))
268.0ms	(cbrt (fma (* y z) z x))
293.0ms	(cbrt (fma (* y z) z x))

simplify3.8s

Counts

93 → 93

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	99	1437
1	217	1321
2	559	1215
3	1524	1068
4	4453	1027
done	5000	1027

prune341.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

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

series1.0s

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt (fma (* y z) z x))
268.0ms	(cbrt (fma (* y z) z x))
250.0ms	(cbrt (fma (* y z) z x))
247.0ms	(cbrt (fma (* y z) z x))

simplify2.4s

Counts

64 → 64

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	51	780
1	111	752
2	241	692
3	652	672
4	1839	632
done	5001	628

prune317.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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

series1.1s

Counts

4 → 12

Calls

4 calls:

305.0ms	(cbrt (fma (* y z) z x))
264.0ms	(cbrt (fma (* y z) z x))
221.0ms	(cbrt (fma (* y z) z x))
274.0ms	(cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x))))

simplify3.1s

Counts

62 → 62

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	82	856
1	186	831
2	447	751
3	1224	729
4	3460	697
done	5001	692

prune362.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6
done	6	6

end0.0ms

sample1.2s

Algorithm

intervals

Results

904.0ms

10538×

body

valid