Details

sample410.0ms

Algorithm

intervals

Results

216.0ms	1949×	body	80	nan
26.0ms	257×	body	80	valid

simplify8.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	61	15
3	155	15
4	356	15
5	858	15
6	1598	15
7	2194	15
8	2618	15
9	2630	15
done	2630	15

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize49.0ms

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)))
0.2b	(* (- a 0.5) (log t))
0.5b	(+ (log (+ x y)) (log z))

rewrite516.0ms

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×	`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:

92.0ms	(- (+ (log (+ x y)) (log z)) t)
343.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
47.0ms	(* (- a 0.5) (log t))
25.0ms	(+ (log (+ x y)) (log z))

series814.0ms

Counts

4 → 12

Calls

4 calls:

293.0ms	(- (+ (log (+ x y)) (log z)) t)
301.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
112.0ms	(* (- a 0.5) (log t))
108.0ms	(+ (log (+ x y)) (log z))

simplify1.9s

Counts

184 → 184

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	270	2956
1	704	2524
2	2399	2215
done	5000	2161

prune729.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (fma (* 2 (log (cbrt t))) (- a 0.5) (+ (log (+ x y)) (- (log z) t))) (* (- a 0.5) (log (cbrt t))))
0.3b	(+ (log (+ x y)) (- (log z) t))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
29×	`associate-+r+`
21×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-prod`
13×	`pow1`
12×	`cbrt-prod` `prod-diff`
9×	`log-pow`
8×	`add-log-exp`
7×	`fma-def` `distribute-lft-out`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-+l+`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
3×	`flip3-+` `associate--l+` `sum-log` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3`
1×	`associate-+r-` `sub-neg` `diff-log` `fma-udef`

Counts

4 → 103

Calls

4 calls:

13.0ms	(+ (fma (* 2 (log (cbrt t))) (- a 0.5) (+ (log (+ x y)) (- (log z) t))) (* (- a 0.5) (log (cbrt t))))
49.0ms	(+ (log (+ x y)) (- (log z) t))
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.2s

Counts

4 → 12

Calls

4 calls:

361.0ms	(+ (fma (* 2 (log (cbrt t))) (- a 0.5) (+ (log (+ x y)) (- (log z) t))) (* (- a 0.5) (log (cbrt t))))
252.0ms	(+ (log (+ x y)) (- (log z) t))
281.0ms	(cbrt t)
295.0ms	(cbrt t)

simplify1.0s

Counts

115 → 115

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	215	1749
1	502	1654
2	1453	1447
done	5000	1345

prune795.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.6s

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt z)
348.0ms	(cbrt z)
679.0ms	(cbrt t)
345.0ms	(cbrt t)

simplify2.0s

Counts

64 → 64

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	46	284
1	75	268
2	148	244
3	303	232
4	759	232
5	2538	232
done	5000	232

prune548.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt t)
5.1b	(pow t 1/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt t)
5.0ms	(pow t 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt z)
267.0ms	(cbrt z)
335.0ms	(cbrt t)
340.0ms	(pow t 1/3)

simplify1.6s

Counts

71 → 71

Iterations

Useful iterations: 4 (436.0ms)

Iter	Nodes	Cost
0	77	339
1	135	289
2	260	267
3	580	251
4	1531	247
done	5000	247

prune575.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes794.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	33
1	29	33
done	29	33

end0.0ms

sample13.6s

Algorithm

intervals

Results

7.6s	55816×	body	80	nan
1.6s	8030×	body	80	valid