Details

sample26.0ms

Algorithm

intervals

Results

10.0ms

317×

body

valid

simplify8.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	164
1	14	164
2	27	139
3	62	139
4	115	139
5	193	139
6	299	139
7	633	139
8	2073	139
done	5001	139

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 1 expressions with local error:

2.0b	(fma (/ z t) (- y x) 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 t) (- y x) x)

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify2.8s

Counts

13 → 13

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	23	2767
1	41	2767
2	91	2767
3	277	2452
4	1922	2452
done	5000	2452

prune126.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ z t) (- y x) x))
2.0b	(fma (/ z t) (- y x) x)
2.0b	(fma (/ z t) (- y x) x)
2.0b	(fma (/ z t) (- y x) x)

rewrite4.0ms

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

series476.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(cbrt (fma (/ z t) (- y x) x))
49.0ms	(fma (/ z t) (- y x) x)
50.0ms	(fma (/ z t) (- y x) x)
59.0ms	(fma (/ z t) (- y x) x)

simplify1.4s

Counts

55 → 55

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	60	13760
1	118	13548
2	286	13508
3	1116	12323
done	5001	11773

prune471.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (/ z t) (- y x) x)
2.0b	(fma (/ z t) (- y x) x)
2.0b	(fma (/ z t) (- y x) x)
2.0b	(fma (/ z t) (- y x) 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 (/ z t) (- y x) x)
0.0ms	(fma (/ z t) (- y x) x)
0.0ms	(fma (/ z t) (- y x) x)
0.0ms	(fma (/ z t) (- y x) x)

series191.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(fma (/ z t) (- y x) x)
40.0ms	(fma (/ z t) (- y x) x)
51.0ms	(fma (/ z t) (- y x) x)
40.0ms	(fma (/ z t) (- y x) x)

simplify2.7s

Counts

52 → 52

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	23	11068
1	41	11068
2	91	11068
3	277	9808
4	1922	9808
done	5000	9808

prune508.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize143.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (/ z t) (- y x) x)
2.0b	(fma (/ z t) (- y x) x)
2.0b	(fma (/ z t) (- y x) x)
2.0b	(fma (/ z t) (- y x) x)

rewrite6.0ms

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:

4.0ms	(fma (/ z t) (- y x) x)
0.0ms	(fma (/ z t) (- y x) x)
0.0ms	(fma (/ z t) (- y x) x)
0.0ms	(fma (/ z t) (- y x) x)

series251.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(fma (/ z t) (- y x) x)
70.0ms	(fma (/ z t) (- y x) x)
69.0ms	(fma (/ z t) (- y x) x)
50.0ms	(fma (/ z t) (- y x) x)

simplify2.6s

Counts

52 → 52

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	23	11068
1	41	11068
2	91	11068
3	277	9808
4	1922	9808
done	5000	9808

prune421.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes565.0ms

Accuracy

-2.4% (2.0b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 2.0b

bsearch129.0ms

Steps

Iters	Range		Point
10	2.7227493296586844e-37	4.6755715944897246e-20	2.7523994095482362e-30
8	-8.505133452025871e-290	-7.507777451466672e-293	-3.0073798622590382e-291

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	496
1	18	496
done	18	496

end0.0ms

sample1.2s

Algorithm

intervals

Results

611.0ms

10608×

body

valid