Details

sample14.0ms

Algorithm

intervals

Results

6.0ms	255×	body	80	valid
0.0ms	1×	body	640	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	14
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))

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 (/ 841.0 108.0) x (/ 4.0 29.0))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify3.2s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
5	2528
4	619
3	156
2	54
1	30
0	22

prune70.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

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:

1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
9.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series754.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
182.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
175.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
211.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify2.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5023
3	3087
2	1058
1	403
0	164

prune504.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite3.0ms

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 (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series770.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
171.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
174.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
224.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify2.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
3	1911
2	525
1	190
0	85

prune542.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.8b	(* (* (cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.8b	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
19.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
57.0ms	(* (* (cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
8.0ms	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

series818.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
207.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
226.0ms	(* (* (cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
232.0ms	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

simplify1.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1757
1	610
0	240

prune476.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample393.0ms

Algorithm

intervals

Results

285.0ms	8010×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid