Details

sample118.0ms

Algorithm

intervals

Results

86.0ms

643×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	4021
3	726
2	183
1	56
0	18

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a a) (* a (* a a)))
0.0b	(fma 4 (- (* a a) (* a (* a a))) (fma (fma a 4 12) (* b b) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.1b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(* a (* a a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `add-log-exp`
5×	`*-un-lft-identity` `pow-prod-up` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`fma-udef`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `fma-neg` `diff-log` `cube-unmult` `associate-r` `prod-diff` `pow-sqr` `*-commutative` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

10.0ms	(- (* a a) (* a (* a a)))
0.0ms	(fma 4 (- (* a a) (* a (* a a))) (fma (fma a 4 12) (* b b) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
21.0ms	(* a (* a a))

series469.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- (* a a) (* a (* a a)))
190.0ms	(fma 4 (- (* a a) (* a (* a a))) (fma (fma a 4 12) (* b b) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
102.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
58.0ms	(* a (* a a))

simplify2.5s

Counts

79 → 79

Iterations

Iter	Nodes
done	5002
3	2685
2	636
1	241
0	110

prune448.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.1b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.2b	(* a (* a a))
0.2b	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
1.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
27.0ms	(* a (* a a))
12.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

series659.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
205.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
50.0ms	(* a (* a a))
221.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

simplify3.1s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
4	4451
3	1188
2	455
1	186
0	97

prune809.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
49×	`add-sqr-sqrt`
24×	`*-un-lft-identity` `add-cube-cbrt`
21×	`associate-r`
20×	`pow1`
16×	`associate-l`
15×	`pow1/3`
14×	`unswap-sqr`
12×	`swap-sqr`
10×	`add-exp-log`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `*-commutative` `cbrt-unprod`
2×	`pow2` `pow-plus`
1×	`pow3`

Counts

4 → 133

Calls

4 calls:

12.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
13.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
11.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
46.0ms	(* (cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))) (cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

series1.1s

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
271.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
273.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
262.0ms	(* (cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))) (cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

simplify3.0s

Counts

145 → 145

Iterations

Iter	Nodes
done	5001
4	2815
3	1012
2	467
1	211
0	109

prune997.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod`
33×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
15×	`associate-r`
13×	`pow1`
10×	`pow1/3` `associate-l` `unswap-sqr`
8×	`add-exp-log`
6×	`swap-sqr`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `pow-plus` `pow3`

Counts

4 → 102

Calls

4 calls:

21.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
11.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
5.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
24.0ms	(* (cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))) (cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

series895.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
232.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
240.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
213.0ms	(* (cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))) (cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

simplify2.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
4	2815
3	1012
2	467
1	211
0	109

prune860.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes292.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	14

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.7s

20753×

body

valid