Details

sample70.0ms

Algorithm

intervals

Results

26.0ms

329×

body

valid

simplify7.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	2823
10	1465
9	888
8	547
7	333
6	217
5	165
4	107
3	60
2	27
1	14
0	8

prune46.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.6b	(* (- y x) (/ z t))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 58

Calls

2 calls:

21.0ms	(+ x (* (- y x) (/ z t)))
60.0ms	(* (- y x) (/ z t))

series229.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(+ x (* (- y x) (/ z t)))
137.0ms	(* (- y x) (/ z t))

simplify8.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	4996
2	1081
1	320
0	121

prune848.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma (/ z t) y x) (/ x (/ t z)))
2.3b	(fma (/ z t) y x)
5.3b	(/ x (/ t z))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
204×	`add-sqr-sqrt`
197×	`*-un-lft-identity`
195×	`add-cube-cbrt`
132×	`prod-diff`
17×	`div-inv`
13×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `fma-neg` `div-exp` `insert-posit16` `log1p-expm1-u` `associate-/l*` `difference-of-squares`
2×	`fma-udef`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--`

Counts

3 → 239

Calls

3 calls:

70.0ms	(- (fma (/ z t) y x) (/ x (/ t z)))
2.0ms	(fma (/ z t) y x)
13.0ms	(/ x (/ t z))

series234.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(- (fma (/ z t) y x) (/ x (/ t z)))
116.0ms	(fma (/ z t) y x)
39.0ms	(/ x (/ t z))

simplify2.7s

Counts

248 → 248

Iterations

Iter	Nodes
done	5000
1	1358
0	503

prune4.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* z y) t) (/ (* x z) t))
0.0b	(+ x (- (/ (* z y) t) (/ (* x z) t)))
5.3b	(/ (* z y) t)
5.4b	(/ (* x z) t)

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

98×	`prod-diff`
93×	`times-frac`
74×	`*-un-lft-identity`
69×	`add-sqr-sqrt`
67×	`add-cube-cbrt`
51×	`associate-+r+`
33×	`div-inv`
14×	`add-cbrt-cube` `add-exp-log`
11×	`add-log-exp`
7×	`fma-neg`
6×	`associate-/r*`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `prod-exp` `cbrt-unprod` `distribute-lft-out` `associate-/l*` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `distribute-rgt-out--` `frac-sub` `flip-+` `flip--` `sub-div` `difference-of-squares`

Counts

4 → 196

Calls

4 calls:

66.0ms	(- (/ (* z y) t) (/ (* x z) t))
120.0ms	(+ x (- (/ (* z y) t) (/ (* x z) t)))
16.0ms	(/ (* z y) t)
13.0ms	(/ (* x z) t)

series290.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- (/ (* z y) t) (/ (* x z) t))
94.0ms	(+ x (- (/ (* z y) t) (/ (* x z) t)))
38.0ms	(/ (* z y) t)
47.0ms	(/ (* x z) t)

simplify4.2s

Counts

208 → 208

Iterations

Iter	Nodes
done	5001
2	2124
1	679
0	265

prune2.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (/ t y)) (/ (* x z) t))
0.0b	(+ x (- (/ z (/ t y)) (/ (* x z) t)))
5.4b	(/ (* x z) t)
6.3b	(/ z (/ t y))

rewrite689.0ms

Algorithm

rewrite-expression-head

Rules

1335×	`times-frac`
759×	`add-sqr-sqrt`
757×	`*-un-lft-identity`
750×	`add-cube-cbrt`
616×	`prod-diff`
310×	`associate-+r+`
154×	`div-inv`
44×	`fma-neg`
16×	`associate-/r*` `associate-/r/`
14×	`add-cbrt-cube` `add-exp-log`
11×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`fma-def` `difference-of-squares`
2×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `prod-exp` `frac-sub` `cbrt-unprod` `flip-+` `flip--`

Counts

4 → 800

Calls

4 calls:

130.0ms	(- (/ z (/ t y)) (/ (* x z) t))
321.0ms	(+ x (- (/ z (/ t y)) (/ (* x z) t)))
13.0ms	(/ (* x z) t)
20.0ms	(/ z (/ t y))

series256.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- (/ z (/ t y)) (/ (* x z) t))
64.0ms	(+ x (- (/ z (/ t y)) (/ (* x z) t)))
37.0ms	(/ (* x z) t)
36.0ms	(/ z (/ t y))

simplify8.1s

Counts

812 → 812

Iterations

Iter	Nodes
done	5000
2	4895
1	2011
0	891

prune13.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes935.0ms

Accuracy

-26.5% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 1.8b

bsearch70.0ms

Steps

Iters	Range		Point
4	1.3326889669136014e-278	2.374399261124559e-278	1.709797410018517e-278
6	-63360654.56188963	-13569362.173458751	-14015800.082841884

simplify8.0ms

Iterations

Iter	Nodes
done	26
1	26
0	21

end0.0ms

sample1.2s

Algorithm

intervals

Results

561.0ms

10730×

body

valid