Details

sample342.0ms

Algorithm

intervals

Results

116.0ms	1165×	body	80	nan
39.0ms	365×	body	80	valid
32.0ms	18×	body	320	valid
5.0ms	9×	body	640	valid
3.0ms	11×	body	160	valid
2.0ms	2×	body	1280	valid

simplify782.0ms

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.5b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.3b	(log (- 1.0 z))

rewrite87.0ms

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:

9.0ms	(- (log z) t)
24.0ms	(* y (- (log z) t))
40.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0ms	(log (- 1.0 z))

series517.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (log z) t)
94.0ms	(* y (- (log z) t))
281.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
60.0ms	(log (- 1.0 z))

simplify1.1s

Counts

215 → 215

Iterations

Iter	Nodes
done	5000
2	3478
1	924
0	357

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* z 1.0))) b)))))
0.0b	(- (log z) t)
0.2b	(* 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)))

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

120×	`prod-diff`
107×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
83×	`add-cube-cbrt`
74×	`associate-+r+`
71×	`distribute-rgt-in` `distribute-lft-in`
55×	`associate--l+`
38×	`pow1`
34×	`associate-+l+`
30×	`log-pow`
21×	`log-prod`
16×	`distribute-lft-out--`
10×	`associate-r` `associate-*r/`
9×	`sub-neg`
8×	`add-cbrt-cube` `difference-of-squares`
7×	`add-exp-log` `add-log-exp`
6×	`flip3--` `associate-l` `flip--`
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` `exp-sum` `flip-+`

Counts

4 → 242

Calls

4 calls:

192.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* z 1.0))) b)))))
14.0ms	(- (log z) t)
47.0ms	(* y (- (log z) t))
86.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* z 1.0))) b)))

series893.0ms

Counts

4 → 12

Calls

4 calls:

339.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* z 1.0))) b)))))
121.0ms	(- (log z) t)
106.0ms	(* y (- (log z) t))
327.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* z 1.0))) b)))

simplify1.6s

Counts

254 → 254

Iterations

Iter	Nodes
done	5000
2	3874
1	1071
0	427

prune2.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

340.0ms	(* (cbrt z) (cbrt z))
310.0ms	(cbrt z)
281.0ms	(cbrt z)
287.0ms	(cbrt z)

simplify1.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize127.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (sqrt (exp (fma a (- (log 1.0) (fma (/ (* z z) 1.0) (/ 1/2 1.0) (fma 1.0 z b))) (* (- (log z) t) y)))))
0.2b	(* (- (log z) t) y)
0.2b	(* 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)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

108×	`prod-diff`
101×	`add-sqr-sqrt` `*-un-lft-identity`
77×	`add-cube-cbrt`
74×	`associate-+r+`
71×	`distribute-rgt-in` `distribute-lft-in`
52×	`associate--l+`
36×	`pow1`
34×	`associate-+l+`
26×	`log-pow`
18×	`log-prod`
16×	`associate-r` `distribute-lft-out--`
12×	`associate-l`
10×	`add-cbrt-cube` `associate-*r/` `add-exp-log`
8×	`sub-neg` `difference-of-squares`
6×	`flip3--` `flip--` `add-log-exp`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
2×	`associate-*l/`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `exp-sum` `flip-+` `fma-udef`

Counts

4 → 235

Calls

4 calls:

25.0ms	(* x (sqrt (exp (fma a (- (log 1.0) (fma (/ (* z z) 1.0) (/ 1/2 1.0) (fma 1.0 z b))) (* (- (log z) t) y)))))
27.0ms	(* (- (log z) t) y)
23.0ms	(* y (- (log z) t))
77.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* z 1.0))) b)))

series989.0ms

Counts

4 → 12

Calls

4 calls:

386.0ms	(* x (sqrt (exp (fma a (- (log 1.0) (fma (/ (* z z) 1.0) (/ 1/2 1.0) (fma 1.0 z b))) (* (- (log z) t) y)))))
110.0ms	(* (- (log z) t) y)
107.0ms	(* y (- (log z) t))
386.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* z 1.0))) b)))

simplify1.5s

Counts

247 → 247

Iterations

Iter	Nodes
done	5000
2	4141
1	1120
0	458

prune2.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes631.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	30
1	30
0	26

end0.0ms

sample12.2s

Algorithm

intervals

Results

5.7s	41264×	body	80	nan
2.0s	12462×	body	80	valid
227.0ms	351×	body	640	valid
178.0ms	381×	body	320	valid
66.0ms	65×	body	1280	valid
55.0ms	265×	body	160	valid