Details

sample102.0ms

Algorithm

intervals

Results

77.0ms

643×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3560
3	785
2	201
1	58
0	19

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.0ms

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

series500.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(fma a -12 4)
123.0ms	(fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
195.0ms	(fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
118.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

simplify1.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5005
3	1534
2	368
1	142
0	80

prune400.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

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))
0.1b	(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)))

rewrite27.0ms

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` `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` `cbrt-unprod`

Counts

4 → 85

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))
1.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
23.0ms	(* (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)))

series973.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
253.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
220.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
296.0ms	(* (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)))

simplify2.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5004
4	2089
3	682
2	275
1	124
0	64

prune768.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(* (cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))) (cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))))

rewrite15.0ms

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` `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` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

1.0ms	(cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
1.0ms	(cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
1.0ms	(cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
11.0ms	(* (cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))) (cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))))

series978.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
272.0ms	(cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
219.0ms	(cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
276.0ms	(* (cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))) (cbrt (fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))))

simplify1.8s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	1583
2	608
1	243
0	105

prune845.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

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))))

rewrite64.0ms

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:

11.0ms	(* (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)))
23.0ms	(* (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)))
9.0ms	(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))))
17.0ms	(* (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))))

series954.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(* (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)))
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)))
251.0ms	(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))))
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)))) (cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

simplify2.7s

Counts

145 → 145

Iterations

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

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes302.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	25
1	25
0	21

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.9s

20753×

body

valid