Details

sample46.0ms

Algorithm

intervals

Results

21.0ms

543×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1844
4	493
3	171
2	52
1	21
0	11

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 4.0 (* (fma z (- z) t) y) (* x x))
5.2b	(* (fma z (- z) t) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma 4.0 (* (fma z (- z) t) y) (* x x))
11.0ms	(* (fma z (- z) t) y)

series230.0ms

Counts

2 → 6

Calls

2 calls:

140.0ms	(fma 4.0 (* (fma z (- z) t) y) (* x x))
90.0ms	(* (fma z (- z) t) y)

simplify2.0s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
3	3113
2	393
1	120
0	60

prune259.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.4b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* (* 4.0 y) (fma z (- z) t)))
5.2b	(* (* 4.0 y) (fma z (- z) t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma x x (* (* 4.0 y) (fma z (- z) t)))
27.0ms	(* (* 4.0 y) (fma z (- z) t))

series235.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(fma x x (* (* 4.0 y) (fma z (- z) t)))
109.0ms	(* (* 4.0 y) (fma z (- z) t))

simplify680.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	1015
1	175
0	71

prune248.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* y t))
0.0b	(fma x x (+ (* 4.0 (- (* (* y z) z))) (* 4.0 (* y t))))
0.0b	(* 4.0 (- (* (* y z) z)))
0.2b	(* (* y z) z)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `fma-udef` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

23.0ms	(* 4.0 (* y t))
0.0ms	(fma x x (+ (* 4.0 (- (* (* y z) z))) (* 4.0 (* y t))))
25.0ms	(* 4.0 (- (* (* y z) z)))
31.0ms	(* (* y z) z)

series296.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 4.0 (* y t))
146.0ms	(fma x x (+ (* 4.0 (- (* (* y z) z))) (* 4.0 (* y t))))
55.0ms	(* 4.0 (- (* (* y z) z)))
54.0ms	(* (* y z) z)

simplify1.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1891
1	319
0	123

prune413.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (- (* y z)) z)) (cbrt (* (- (* y z)) z)))
19.8b	(cbrt (- (* (* y z) z)))
19.8b	(cbrt (* (- (* y z)) z))
19.8b	(cbrt (* (- (* y z)) z))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-sqr-sqrt` `pow1`
9×	`*-un-lft-identity` `pow1/3` `add-cube-cbrt`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

34.0ms	(* (cbrt (* (- (* y z)) z)) (cbrt (* (- (* y z)) z)))
3.0ms	(cbrt (- (* (* y z) z)))
5.0ms	(cbrt (* (- (* y z)) z))
5.0ms	(cbrt (* (- (* y z)) z))

series652.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (* (- (* y z)) z)) (cbrt (* (- (* y z)) z)))
158.0ms	(cbrt (- (* (* y z) z)))
183.0ms	(cbrt (* (- (* y z)) z))
135.0ms	(cbrt (* (- (* y z)) z))

simplify664.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	889
1	264
0	113

prune580.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes419.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	37
2	37
1	33
0	19

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.5s

15904×

body

valid