Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

313×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4768
11	2301
10	821
9	365
8	226
7	129
6	95
5	72
4	55
3	36
2	20
1	11
0	7

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- z x) y x)
8.9b	(/ (fma (- z x) y x) z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

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

series112.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma (- z x) y x)
70.0ms	(/ (fma (- z x) y x) z)

simplify2.7s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
4	4442
3	1007
2	265
1	117
0	66

prune250.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (/ x z) (- y) (+ (/ x z) y))

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 (/ x z) (- y) (+ (/ x z) y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify1.9s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	1520
3	278
2	77
1	35
0	21

prune94.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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:

2.0ms	(sqrt (fma (/ x z) (- y) (+ (/ x z) y)))
0.0ms	(fma (/ x z) (- y) (+ (/ x z) y))
0.0ms	(fma (/ x z) (- y) (+ (/ x z) y))
10.0ms	(* (sqrt (fma (/ x z) (- y) (+ (/ x z) y))) (sqrt (fma (/ x z) (- y) (+ (/ x z) y))))

series277.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(sqrt (fma (/ x z) (- y) (+ (/ x z) y)))
48.0ms	(fma (/ x z) (- y) (+ (/ x z) y))
57.0ms	(fma (/ x z) (- y) (+ (/ x z) y))
48.0ms	(* (sqrt (fma (/ x z) (- y) (+ (/ x z) y))) (sqrt (fma (/ x z) (- y) (+ (/ x z) y))))

simplify1.8s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
3	1775
2	478
1	178
0	90

prune451.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sqrt (fma (- z x) y x)) z)
0.2b	(* (/ (sqrt (fma (- z x) y x)) 1) (/ (sqrt (fma (- z x) y x)) z))
3.9b	(sqrt (fma (- z x) y x))
3.9b	(sqrt (fma (- z x) y x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
76×	`times-frac`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt` `sqrt-prod`
23×	`add-exp-log`
22×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
8×	`pow1` `div-exp`
6×	`prod-exp` `associate-/l*`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `1-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 154

Calls

4 calls:

5.0ms	(/ (sqrt (fma (- z x) y x)) z)
32.0ms	(* (/ (sqrt (fma (- z x) y x)) 1) (/ (sqrt (fma (- z x) y x)) z))
1.0ms	(sqrt (fma (- z x) y x))
1.0ms	(sqrt (fma (- z x) y x))

series441.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(/ (sqrt (fma (- z x) y x)) z)
51.0ms	(* (/ (sqrt (fma (- z x) y x)) 1) (/ (sqrt (fma (- z x) y x)) z))
93.0ms	(sqrt (fma (- z x) y x))
133.0ms	(sqrt (fma (- z x) y x))

simplify2.7s

Counts

166 → 166

Iterations

Iter	Nodes
done	5001
3	4256
2	1306
1	605
0	204

prune735.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample841.0ms

Algorithm

intervals

Results

536.0ms

10150×

body

valid