Details

sample93.0ms

Algorithm

intervals

Results

71.0ms

664×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4618
5	1889
4	575
3	160
2	62
1	29
0	12

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b b (* a a))
0.0b	(fma b b (* a a))
0.0b	(fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.2b	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0ms	(fma b b (* a a))
0.0ms	(fma b b (* a a))
0.0ms	(fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
1.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

series354.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma b b (* a a))
62.0ms	(fma b b (* a a))
119.0ms	(fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
131.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

simplify3.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
4	4605
3	952
2	228
1	86
0	53

prune365.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(* (cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))) (cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
2.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
2.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
23.0ms	(* (cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))) (cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))))

series1.1s

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
280.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
259.0ms	(cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
336.0ms	(* (cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))) (cbrt (fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))))

simplify3.1s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
4	4140
3	1143
2	446
1	187
0	87

prune670.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a))))
7.8b	(cbrt (fma b b (* a a)))
7.8b	(cbrt (fma b b (* a a)))
7.8b	(cbrt (fma b b (* a a)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 88

Calls

4 calls:

15.0ms	(* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a))))
1.0ms	(cbrt (fma b b (* a a)))
1.0ms	(cbrt (fma b b (* a a)))
1.0ms	(cbrt (fma b b (* a a)))

series623.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a))))
158.0ms	(cbrt (fma b b (* a a)))
168.0ms	(cbrt (fma b b (* a a)))
154.0ms	(cbrt (fma b b (* a a)))

simplify2.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5052
4	3435
3	1126
2	441
1	182
0	83

prune577.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (fma b b (* a a)) (fma b b (* a a)))) (cbrt (fma b b (* a a))))
0.3b	(* (fma b b (* a a)) (fma b b (* a a)))
7.8b	(cbrt (fma b b (* a a)))
22.1b	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
52×	`add-sqr-sqrt`
27×	`associate-l`
22×	`*-un-lft-identity` `add-cube-cbrt`
17×	`unswap-sqr`
15×	`associate-r`
13×	`pow1`
11×	`swap-sqr`
10×	`add-cbrt-cube`
8×	`add-exp-log`
7×	`*-commutative`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `pow1/3` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`pow3` `prod-exp` `fma-udef`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 126

Calls

4 calls:

49.0ms	(* (cbrt (* (fma b b (* a a)) (fma b b (* a a)))) (cbrt (fma b b (* a a))))
12.0ms	(* (fma b b (* a a)) (fma b b (* a a)))
1.0ms	(cbrt (fma b b (* a a)))
6.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))

series849.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (cbrt (* (fma b b (* a a)) (fma b b (* a a)))) (cbrt (fma b b (* a a))))
49.0ms	(* (fma b b (* a a)) (fma b b (* a a)))
185.0ms	(cbrt (fma b b (* a a)))
564.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))

simplify2.8s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
3	2577
2	874
1	290
0	144

prune699.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes313.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample3.4s

Algorithm

intervals

Results

3.0s

20122×

body

valid