Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

356×

body

valid

simplify6.9s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize13.0ms

Local error

Found 1 expressions with local error:

3.2b	(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)

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify1.9s

Counts

13 → 13

Iterations

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

prune95.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.3b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ z t) (- y x) x))
3.2b	(fma (/ z t) (- y x) x)
3.2b	(fma (/ z t) (- y x) x)
3.2b	(fma (/ z t) (- y 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 (/ 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)

series889.0ms

Counts

4 → 12

Calls

4 calls:

381.0ms	(cbrt (fma (/ z t) (- y x) x))
423.0ms	(fma (/ z t) (- y x) x)
48.0ms	(fma (/ z t) (- y x) x)
36.0ms	(fma (/ z t) (- y x) x)

simplify1.3s

Counts

55 → 55

Iterations

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

prune490.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.3b

localize78.0ms

Local error

Found 4 expressions with local error:

3.2b	(fma (/ z t) (- y x) x)
3.2b	(fma (/ z t) (- y x) x)
3.2b	(fma (/ z t) (- y x) x)
3.2b	(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)

series194.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(fma (/ z t) (- y x) x)
51.0ms	(fma (/ z t) (- y x) x)
50.0ms	(fma (/ z t) (- y x) x)
42.0ms	(fma (/ z t) (- y x) x)

simplify2.2s

Counts

52 → 52

Iterations

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

prune539.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 3.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (/ z t) (- y x) x))
0.2b	(* (sqrt (fma (/ z t) (- y x) x)) (sqrt (fma (/ z t) (- y x) x)))
3.2b	(fma (/ z t) (- y x) x)
3.2b	(fma (/ z t) (- y x) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

3.0ms	(sqrt (fma (/ z t) (- y x) x))
30.0ms	(* (sqrt (fma (/ z t) (- y x) x)) (sqrt (fma (/ z t) (- y x) x)))
1.0ms	(fma (/ z t) (- y x) x)
1.0ms	(fma (/ z t) (- y x) x)

series261.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (fma (/ z t) (- y x) x))
46.0ms	(* (sqrt (fma (/ z t) (- y x) x)) (sqrt (fma (/ z t) (- y x) x)))
37.0ms	(fma (/ z t) (- y x) x)
43.0ms	(fma (/ z t) (- y x) x)

simplify1.5s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	774
1	210
0	92

prune526.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.3b

regimes640.0ms

Accuracy

0% (0.1b remaining)

Error of 1.9b against oracle of 1.8b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

658.0ms

10632×

body

valid