Details

sample65.0ms

Algorithm

intervals

Results

15.0ms	281×	body	80	valid
15.0ms	269×	body	80	nan

simplify238.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	180
8	180
7	178
6	160
5	142
4	123
3	85
2	51
1	21
0	10

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt z) x)

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 (sqrt z) x)

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

(fma y (sqrt z) x)

simplify771.0ms

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	1133
3	256
2	105
1	48
0	25

prune123.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

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

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

series1.8s

Counts

4 → 12

Calls

4 calls:

335.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
444.0ms	(cbrt (fma (sqrt z) y x))
494.0ms	(cbrt (fma (sqrt z) y x))
513.0ms	(cbrt (fma (sqrt z) y x))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1224
1	341
0	133

prune752.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

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

series1.8s

Counts

4 → 12

Calls

4 calls:

424.0ms	(cbrt (fma (sqrt z) y x))
454.0ms	(cbrt (fma (sqrt z) y x))
461.0ms	(cbrt (fma (sqrt z) y x))
463.0ms	(cbrt (fma (sqrt z) y x))

simplify1.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
3	2261
2	503
1	167
0	70

prune602.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (fma (sqrt z) y x))
0.9b	(pow (cbrt (cbrt (fma (sqrt z) y x))) (+ 3 1))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow-unpow` `add-cbrt-cube` `pow1/3` `log1p-expm1-u` `add-log-exp`
2×	`pow-pow`
1×	`pow-to-exp` `unpow-prod-up` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
13.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) (+ 3 1))

series2.0s

Counts

4 → 12

Calls

4 calls:

474.0ms	(cbrt (fma (sqrt z) y x))
480.0ms	(cbrt (fma (sqrt z) y x))
448.0ms	(cbrt (fma (sqrt z) y x))
578.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) (+ 3 1))

simplify718.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	1318
1	386
0	135

prune676.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes433.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample2.0s

Algorithm

intervals

Results

631.0ms	8556×	body	80	valid
531.0ms	8568×	body	80	nan