Details

sample48.0ms

Algorithm

intervals

Results

17.0ms

335×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3315
7	1018
6	353
5	156
4	89
3	51
2	28
1	14
0	8

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

1.5b	(fma (- y x) (/ z 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 (- y x) (/ z t) x)

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify1.2s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
4	1513
3	263
2	86
1	41
0	23

prune96.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ z t) (- y x) x))
1.5b	(fma (/ z t) (- y x) x)
1.5b	(fma (/ z t) (- y x) x)
1.5b	(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))
1.0ms	(fma (/ z t) (- y x) x)
1.0ms	(fma (/ z t) (- y x) x)
1.0ms	(fma (/ z t) (- y x) x)

series359.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt (fma (/ z t) (- y x) x))
39.0ms	(fma (/ z t) (- y x) x)
39.0ms	(fma (/ z t) (- y x) x)
42.0ms	(fma (/ z t) (- y x) x)

simplify577.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
3	1116
2	286
1	118
0	60

prune465.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (/ z t) (- y x) x)
1.5b	(fma (- y x) (/ z t) x)
1.5b	(fma (- y x) (/ z t) x)
1.5b	(fma (- y x) (/ z t) 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:

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

series211.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma (/ z t) (- y x) x)
62.0ms	(fma (- y x) (/ z t) x)
40.0ms	(fma (- y x) (/ z t) x)
63.0ms	(fma (- y x) (/ z t) x)

simplify3.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
4	2350
3	409
2	128
1	56
0	34

prune468.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (/ z t) (- y x) x)
1.5b	(fma (- y x) (/ z t) x)
1.5b	(fma (- y x) (/ z t) x)
1.5b	(fma (- y x) (/ z t) 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 t) (- y x) x)
0.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series181.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (/ z t) (- y x) x)
43.0ms	(fma (- y x) (/ z t) x)
47.0ms	(fma (- y x) (/ z t) x)
49.0ms	(fma (- y x) (/ z t) x)

simplify2.8s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
4	2350
3	409
2	128
1	56
0	34

prune448.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes425.0ms

Accuracy

7.7% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.0b

bsearch43.0ms

Steps

Iters	Range		Point
8	-1.5795895250795303e-73	-2.46247335010462e-77	-1.4743746062189412e-73

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s

10707×

body

valid