Details

sample86.0ms

Algorithm

intervals

Results

40.0ms

502×

body

valid

simplify2.3s

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: 4.1b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 4.0 (* (fma z (- z) t) y) (* x x))
3.8b	(* (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)

series209.0ms

Counts

2 → 6

Calls

2 calls:

140.0ms	(fma 4.0 (* (fma z (- z) t) y) (* x x))
69.0ms	(* (fma z (- z) t) y)

simplify2.1s

Counts

36 → 36

Iterations

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

prune317.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.7b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* (* 4.0 y) (fma z (- z) t)))
3.8b	(* (* 4.0 y) (fma z (- z) t))

rewrite28.0ms

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))

series211.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(fma x x (* (* 4.0 y) (fma z (- z) t)))
100.0ms	(* (* 4.0 y) (fma z (- z) t))

simplify674.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	1015
1	175
0	71

prune252.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

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`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
1×	`distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `fma-def` `distribute-rgt-neg-in` `flip3-+` `distribute-rgt-neg-out` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

25.0ms	(+ (* 4.0 (- (* (* y z) z))) (* 4.0 (* y t)))
34.0ms	(* 4.0 (- (* (* y z) z)))
17.0ms	(* 4.0 (* y t))
15.0ms	(* (* y z) z)

series254.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(+ (* 4.0 (- (* (* y z) z))) (* 4.0 (* y t)))
47.0ms	(* 4.0 (- (* (* y z) z)))
22.0ms	(* 4.0 (* y t))
51.0ms	(* (* y z) z)

simplify2.1s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	2553
1	372
0	130

prune708.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* 4.0 (cbrt (- (* (* y z) z)))) (cbrt (- (* (* y z) z))))
20.8b	(cbrt (- (* (* y z) z)))
20.8b	(cbrt (- (* (* y z) z)))
20.8b	(cbrt (- (* (* y z) z)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

57.0ms	(* (* 4.0 (cbrt (- (* (* y z) z)))) (cbrt (- (* (* y z) z))))
3.0ms	(cbrt (- (* (* y z) z)))
3.0ms	(cbrt (- (* (* y z) z)))
4.0ms	(cbrt (- (* (* y z) z)))

series703.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (* 4.0 (cbrt (- (* (* y z) z)))) (cbrt (- (* (* y z) z))))
159.0ms	(cbrt (- (* (* y z) z)))
146.0ms	(cbrt (- (* (* y z) z)))
169.0ms	(cbrt (- (* (* y z) z)))

simplify764.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1186
1	292
0	111

prune775.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes495.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	37
3	37
2	36
1	25
0	13

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.5s

15749×

body

valid