Details

sample311.0ms

Algorithm

intervals

Results

183.0ms	1648×	body	80	nan
28.0ms	257×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1804
4	471
3	157
2	61
1	27
0	15

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite415.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
48×	`pow1`
43×	`add-sqr-sqrt`
42×	`prod-diff` `log-pow`
41×	`distribute-lft-out`
35×	`add-cube-cbrt`
28×	`associate-+l+`
19×	`log-prod`
14×	`add-log-exp`
13×	`fma-def`
11×	`distribute-lft-out--`
9×	`associate-+r+`
7×	`fma-neg`
6×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--`
5×	`associate-l` `associate-+l-`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

100.0ms	(- (+ (log (+ x y)) (log z)) t)
261.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
26.0ms	(* (- a 0.5) (log t))
20.0ms	(+ (log (+ x y)) (log z))

series819.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(- (+ (log (+ x y)) (log z)) t)
307.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
96.0ms	(* (- a 0.5) (log t))
127.0ms	(+ (log (+ x y)) (log z))

simplify2.7s

Counts

184 → 184

Iterations

Iter	Nodes
done	5001
2	3174
1	744
0	271

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.2b	(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
0.3b	(+ (log (+ y x)) (- (log z) t))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `prod-diff`
22×	`add-cube-cbrt`
17×	`pow1` `associate-+r+`
14×	`log-pow`
10×	`log-prod`
7×	`distribute-lft-out`
6×	`associate--l+` `distribute-lft-out--` `add-log-exp`
4×	`associate-+l+` `fma-def` `fma-neg`
3×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
2×	`log-div` `sum-log` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`
1×	`+-commutative` `associate-+r-` `flip3--` `fma-udef` `flip--` `difference-of-squares`

Counts

3 → 94

Calls

3 calls:

14.0ms	(- (log z) t)
0.0ms	(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
24.0ms	(+ (log (+ y x)) (- (log z) t))

series502.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- (log z) t)
141.0ms	(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
275.0ms	(+ (log (+ y x)) (- (log z) t))

simplify1.2s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1450
1	440
0	185

prune689.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (sqrt z)) t)
0.0b	(+ (log (sqrt z)) (- (log (sqrt z)) t))
0.2b	(fma (log t) (- a 0.5) (+ (log (+ y x)) (+ (log (sqrt z)) (- (log (sqrt z)) t))))
0.3b	(+ (log (+ y x)) (+ (log (sqrt z)) (- (log (sqrt z)) t)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
48×	`log-pow`
44×	`pow1`
36×	`prod-diff`
34×	`add-sqr-sqrt`
33×	`distribute-lft-out`
32×	`add-cube-cbrt`
27×	`associate-+r+`
22×	`log-prod`
14×	`distribute-lft-out--`
12×	`associate--l+`
10×	`associate-+l+` `fma-def` `add-log-exp`
9×	`sqrt-prod`
8×	`sqrt-pow1` `pow1/2`
7×	`sum-log`
6×	`fma-neg`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`associate-+r-` `flip3-+` `diff-log` `flip-+`
2×	`+-commutative` `log-div` `sub-neg` `associate-+l-`
1×	`flip3--` `fma-udef` `flip--` `difference-of-squares`

Counts

4 → 157

Calls

4 calls:

15.0ms	(- (log (sqrt z)) t)
29.0ms	(+ (log (sqrt z)) (- (log (sqrt z)) t))
1.0ms	(fma (log t) (- a 0.5) (+ (log (+ y x)) (+ (log (sqrt z)) (- (log (sqrt z)) t))))
92.0ms	(+ (log (+ y x)) (+ (log (sqrt z)) (- (log (sqrt z)) t)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (log (sqrt z)) t)
117.0ms	(+ (log (sqrt z)) (- (log (sqrt z)) t))
164.0ms	(fma (log t) (- a 0.5) (+ (log (+ y x)) (+ (log (sqrt z)) (- (log (sqrt z)) t))))
252.0ms	(+ (log (+ y x)) (+ (log (sqrt z)) (- (log (sqrt z)) t)))

simplify1.8s

Counts

169 → 169

Iterations

Iter	Nodes
done	5002
2	2170
1	622
0	248

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)

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:

17.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

283.0ms	(* (cbrt t) (cbrt t))
261.0ms	(cbrt t)
268.0ms	(cbrt t)
266.0ms	(cbrt t)

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune875.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes2.1s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample11.9s

Algorithm

intervals

Results

7.9s	55163×	body	80	nan
1.1s	8039×	body	80	valid