Details

sample453.0ms

Algorithm

intervals

Results

281.0ms	1738×	body	80	nan
33.0ms	257×	body	80	valid

simplify8.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3437
6	1824
5	979
4	407
3	155
2	61
1	27
0	15

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize64.0ms

Local error

Found 3 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
48×	`prod-diff`
43×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
26×	`pow1`
23×	`log-pow`
20×	`distribute-lft-out--`
18×	`associate--r+`
7×	`log-prod` `fma-neg`
6×	`associate--l+` `add-log-exp` `difference-of-squares`
4×	`diff-log`
3×	`add-exp-log` `expm1-log1p-u` `sub-neg` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
2×	`associate--l-` `log-div` `flip3--` `flip--`
1×	`flip3-+` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 118

Calls

3 calls:

75.0ms	(- (log (+ x y)) (- (fma (log t) (- 0.5 a) t) (log z)))
1.0ms	(fma (log t) (- 0.5 a) t)
20.0ms	(- (fma (log t) (- 0.5 a) t) (log z))

series573.0ms

Counts

3 → 9

Calls

3 calls:

360.0ms	(- (log (+ x y)) (- (fma (log t) (- 0.5 a) t) (log z)))
78.0ms	(fma (log t) (- 0.5 a) t)
134.0ms	(- (fma (log t) (- 0.5 a) t) (log z))

simplify3.2s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	1415
1	534
0	215

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize97.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

25.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
16.0ms	(cbrt z)

series1.7s

Counts

4 → 12

Calls

4 calls:

440.0ms	(* (cbrt z) (cbrt z))
405.0ms	(cbrt z)
390.0ms	(cbrt z)
418.0ms	(cbrt z)

simplify7.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5005
4	4247
3	1097
2	382
1	141
0	65

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize92.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

92.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
8.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))
9.0ms	(cbrt (+ x y))

series1.2s

Counts

4 → 12

Calls

4 calls:

369.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
273.0ms	(cbrt (+ x y))
272.0ms	(cbrt (+ x y))
288.0ms	(cbrt (+ x y))

simplify3.2s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
3	1882
2	698
1	285
0	120

prune1.8s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize62.0ms

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))

rewrite1.3s

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×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `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×	`+-commutative` `associate--l-` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

158.0ms	(- (+ (log (+ x y)) (log z)) t)
517.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
45.0ms	(* (- a 0.5) (log t))
579.0ms	(+ (log (+ x y)) (log z))

series1.2s

Counts

4 → 12

Calls

4 calls:

425.0ms	(- (+ (log (+ x y)) (log z)) t)
465.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
127.0ms	(* (- a 0.5) (log t))
180.0ms	(+ (log (+ x y)) (log z))

simplify4.2s

Counts

184 → 184

Iterations

Iter	Nodes
done	5001
2	2588
1	737
0	270

prune1.8s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes3.2s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	19
1	19
0	18

end0.0ms

sample16.3s

Algorithm

intervals

Results

10.8s	55171×	body	80	nan
1.4s	8031×	body	80	valid