Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

310×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 7 (36.0ms)

Iter	Nodes	Cost
0	6	123
1	16	123
2	24	123
3	37	123
4	46	123
5	52	123
6	56	123
7	124	98
8	290	98
9	704	98
10	1808	98
11	4445	98
done	5000	98

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.0b	(fma y (/ x z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma y (/ x z) x)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(fma y (/ x z) x)

simplify2.9s

Counts

13 → 13

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	18	1994
1	26	1919
2	72	1919
3	352	1919
4	2266	1919
done	5000	1919

prune115.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y (/ x z) x)) (cbrt (fma y (/ x z) x)))
4.0b	(fma y (/ x z) x)
4.0b	(fma y (/ x z) x)
4.0b	(fma y (/ x z) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (fma y (/ x z) x)) (cbrt (fma y (/ x z) x)))
0.0ms	(fma y (/ x z) x)
0.0ms	(fma y (/ x z) x)
0.0ms	(fma y (/ x z) x)

series409.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(* (cbrt (fma y (/ x z) x)) (cbrt (fma y (/ x z) x)))
47.0ms	(fma y (/ x z) x)
46.0ms	(fma y (/ x z) x)
39.0ms	(fma y (/ x z) x)

simplify4.2s

Counts

84 → 84

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	86	19961
1	181	18731
2	585	18552
3	3601	18256
done	5000	18229

prune561.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize116.0ms

Local error

Found 4 expressions with local error:

4.0b	(fma y (/ x z) x)
4.0b	(fma y (/ x z) x)
4.0b	(fma y (/ x z) x)
4.0b	(fma y (/ x z) x)

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

0.0ms	(fma y (/ x z) x)
0.0ms	(fma y (/ x z) x)
0.0ms	(fma y (/ x z) x)
0.0ms	(fma y (/ x z) x)

series147.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma y (/ x z) x)
30.0ms	(fma y (/ x z) x)
42.0ms	(fma y (/ x z) x)
32.0ms	(fma y (/ x z) x)

simplify3.2s

Counts

52 → 52

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	18	7976
1	26	7676
2	72	7676
3	352	7676
4	2266	7676
done	5000	7676

prune426.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
8.5b	(/ (* x (+ y z)) z)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `associate-r` `associate-*r/`
3×	`associate-/r` `times-frac` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

19.0ms	(* x (+ y z))
28.0ms	(/ (* x (+ y z)) z)

series83.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (+ y z))
51.0ms	(/ (* x (+ y z)) z)

simplify1.5s

Counts

56 → 56

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	90	9560
1	253	8670
2	1220	8565
done	5000	8250

prune204.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes284.0ms

Accuracy

40.8% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.1b

bsearch64.0ms

Steps

Iters	Range		Point
5	1.329254481342115e-79	2.8483850952053574e-79	2.8026198996308117e-79
8	-9.548992574131866e+103	-2.330089513821311e+99	-4.851098445033535e+99

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	480
1	18	480
done	18	480

end0.0ms

sample1.1s

Algorithm

intervals

Results

745.0ms

9605×

body

valid