Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

339×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	3428
8	1087
7	422
6	248
5	170
4	99
3	48
2	25
1	14
0	8

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

1.9b	(fma (- z x) (/ y t) 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:

0.0ms

(fma (- z x) (/ y t) x)

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(fma (- z x) (/ y t) x)

simplify1.5s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	1609
3	267
2	88
1	40
0	23

prune79.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y t) (- z x) x))
1.9b	(fma (/ y t) (- z x) x)
1.9b	(fma (/ y t) (- z x) x)
1.9b	(fma (/ y t) (- z x) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y t) (- z x) x))
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)

series404.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt (fma (/ y t) (- z x) x))
46.0ms	(fma (/ y t) (- z x) x)
52.0ms	(fma (/ y t) (- z x) x)
48.0ms	(fma (/ y t) (- z x) x)

simplify652.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
3	1123
2	288
1	117
0	60

prune417.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

1.9b	(fma (- z x) (/ y t) x)
1.9b	(fma (- z x) (/ y t) x)
1.9b	(fma (/ y t) (- z x) x)
1.9b	(fma (/ y t) (- z x) x)

rewrite3.0ms

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 (- z x) (/ y t) x)
0.0ms	(fma (- z x) (/ y t) x)
0.0ms	(fma (/ y t) (- z x) x)
1.0ms	(fma (/ y t) (- z x) x)

series183.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(fma (- z x) (/ y t) x)
48.0ms	(fma (- z x) (/ y t) x)
46.0ms	(fma (/ y t) (- z x) x)
42.0ms	(fma (/ y t) (- z x) x)

simplify2.8s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
4	2443
3	411
2	130
1	55
0	34

prune352.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

1.9b	(fma (- z x) (/ y t) x)
1.9b	(fma (- z x) (/ y t) x)
1.9b	(fma (/ y t) (- z x) x)
1.9b	(fma (/ y t) (- z x) x)

rewrite4.0ms

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:

1.0ms	(fma (- z x) (/ y t) x)
1.0ms	(fma (- z x) (/ y t) x)
1.0ms	(fma (/ y t) (- z x) x)
1.0ms	(fma (/ y t) (- z x) x)

series211.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma (- z x) (/ y t) x)
63.0ms	(fma (- z x) (/ y t) x)
47.0ms	(fma (/ y t) (- z x) x)
56.0ms	(fma (/ y t) (- z x) x)

simplify2.9s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
4	2443
3	411
2	130
1	55
0	34

prune363.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes478.0ms

Accuracy

-14% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.0b

bsearch142.0ms

Steps

Iters	Range		Point
9	-1.5753026640491414e-215	-2.6482179852090497e-224	-1.0214381750351852e-218
9	-53616.43845932569	-0.006845418491836063	-0.9629836673913925

simplify2.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

642.0ms

10801×

body

valid