Details

sample404.0ms

Algorithm

intervals

Results

191.0ms	1309×	body	80	nan
43.0ms	384×	body	80	valid
7.0ms	10×	body	320	valid
5.0ms	10×	body	640	valid
4.0ms	3×	body	1280	valid
3.0ms	12×	body	160	valid

simplify888.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1338
4	377
3	135
2	62
1	31
0	17

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0b	(log (- 1.0 z))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

84×	`prod-diff`
76×	`add-sqr-sqrt` `*-un-lft-identity`
64×	`add-cube-cbrt`
53×	`distribute-rgt-in` `distribute-lft-in`
38×	`associate-+r+`
34×	`associate-+l+`
31×	`pow1`
30×	`log-prod`
25×	`associate--l+` `log-pow`
10×	`associate-*r/`
7×	`sub-neg` `flip3--` `add-exp-log` `flip--` `distribute-lft-out--` `add-log-exp`
6×	`add-cbrt-cube` `associate-r`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `fma-neg` `frac-add` `log1p-expm1-u`
3×	`associate-l`
2×	`log-div`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 203

Calls

4 calls:

7.0ms	(- (log z) t)
46.0ms	(* y (- (log z) t))
46.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0ms	(log (- 1.0 z))

series928.0ms

Counts

4 → 12

Calls

4 calls:

433.0ms	(- (log z) t)
75.0ms	(* y (- (log z) t))
349.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
70.0ms	(log (- 1.0 z))

simplify1.4s

Counts

215 → 215

Iterations

Iter	Nodes
done	5000
2	3478
1	924
0	357

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* z 1.0))) b))
0.0b	(- (log z) t)
0.1b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* z 1.0))) b)))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

180×	`prod-diff`
166×	`*-un-lft-identity`
151×	`add-sqr-sqrt`
117×	`add-cube-cbrt`
108×	`distribute-rgt-in` `distribute-lft-in`
95×	`associate--l+`
74×	`associate-+r+`
51×	`pow1`
43×	`log-pow`
34×	`associate-+l+`
33×	`distribute-lft-out--`
27×	`log-prod`
15×	`difference-of-squares`
13×	`sub-neg` `associate-r`
12×	`associate-*r/`
8×	`add-cbrt-cube` `add-exp-log`
7×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l`
4×	`expm1-log1p-u` `fma-neg` `frac-add` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `diff-log` `flip-+`

Counts

4 → 321

Calls

4 calls:

142.0ms	(* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* z 1.0))) b))
8.0ms	(- (log z) t)
24.0ms	(* y (- (log z) t))
79.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* z 1.0))) b)))

series710.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* z 1.0))) b))
98.0ms	(- (log z) t)
130.0ms	(* y (- (log z) t))
361.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* z 1.0))) b)))

simplify1.7s

Counts

333 → 333

Iterations

Iter	Nodes
done	5000
2	4414
1	1172
0	465

prune2.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (log z)) (fma (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (* z z) 1.0) (* z 1.0))) b) a (- (* t y))))))
0.0b	(+ (* y (log z)) (fma (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (* z z) 1.0) (* z 1.0))) b) a (- (* t y))))
0.0b	(fma (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (* z z) 1.0) (* z 1.0))) b) a (- (* t y)))
0.3b	(* y (log z))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`log-prod` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow1`
8×	`add-cbrt-cube` `associate-r`
7×	`add-exp-log`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `sum-log` `fma-def` `flip3-+` `exp-sum` `log-pow` `flip-+`

Counts

4 → 79

Calls

4 calls:

80.0ms	(* x (exp (+ (* y (log z)) (fma (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (* z z) 1.0) (* z 1.0))) b) a (- (* t y))))))
11.0ms	(+ (* y (log z)) (fma (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (* z z) 1.0) (* z 1.0))) b) a (- (* t y))))
0.0ms	(fma (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (* z z) 1.0) (* z 1.0))) b) a (- (* t y)))
7.0ms	(* y (log z))

series909.0ms

Counts

4 → 12

Calls

4 calls:

314.0ms	(* x (exp (+ (* y (log z)) (fma (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (* z z) 1.0) (* z 1.0))) b) a (- (* t y))))))
312.0ms	(+ (* y (log z)) (fma (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (* z z) 1.0) (* z 1.0))) b) a (- (* t y))))
239.0ms	(fma (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (* z z) 1.0) (* z 1.0))) b) a (- (* t y)))
44.0ms	(* y (log z))

simplify758.0ms

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1245
1	380
0	161

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (* z z) 1.0) (* z 1.0))) b) a (- (* t y)))
0.0b	(fma a (- (log 1.0) (fma (/ (pow z 2) 1.0) (/ 1/2 1.0) (fma 1.0 z b))) (* y (+ (- t) (log z))))
0.1b	(* y (+ (- t) (log z)))
0.3b	(* y (log z))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
11×	`pow1` `associate-r`
10×	`add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
6×	`log-prod` `associate-l`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`log-pow`
2×	`distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 75

Calls

4 calls:

0.0ms	(fma (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (* z z) 1.0) (* z 1.0))) b) a (- (* t y)))
0.0ms	(fma a (- (log 1.0) (fma (/ (pow z 2) 1.0) (/ 1/2 1.0) (fma 1.0 z b))) (* y (+ (- t) (log z))))
50.0ms	(* y (+ (- t) (log z)))
26.0ms	(* y (log z))

series746.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(fma (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (* z z) 1.0) (* z 1.0))) b) a (- (* t y)))
321.0ms	(fma a (- (log 1.0) (fma (/ (pow z 2) 1.0) (/ 1/2 1.0) (fma 1.0 z b))) (* y (+ (- t) (log z))))
63.0ms	(* y (+ (- t) (log z)))
66.0ms	(* y (log z))

simplify691.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1264
1	376
0	158

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes525.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	35
2	35
1	33
0	24

end0.0ms

sample14.1s

Algorithm

intervals

Results

7.1s	40529×	body	80	nan
1.8s	12424×	body	80	valid
281.0ms	391×	body	640	valid
237.0ms	419×	body	320	valid
88.0ms	73×	body	1280	valid
79.0ms	303×	body	160	valid