Details

sample56.0ms

Algorithm

intervals

Results

14.0ms	326×	body	80	nan
14.0ms	297×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 5 (247.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	87	15
3	243	15
4	725	15
5	2121	14
6	4677	14
done	5000	14

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1 (log t))
0.0b	(fma (- a 0.5) b x)
0.1b	(fma (- 1 (log t)) z (fma (- a 0.5) b x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
7×	`pow1`
4×	`log-pow` `add-log-exp`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `fma-neg` `add-cbrt-cube` `log1p-expm1-u` `associate--r+`
2×	`fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 56

Calls

3 calls:

5.0ms	(- 1 (log t))
0.0ms	(fma (- a 0.5) b x)
0.0ms	(fma (- 1 (log t)) z (fma (- a 0.5) b x))

series480.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(- 1 (log t))
31.0ms	(fma (- a 0.5) b x)
329.0ms	(fma (- 1 (log t)) z (fma (- a 0.5) b x))

simplify2.9s

Counts

65 → 65

Iterations

Useful iterations: 3 (437.0ms)

Iter	Nodes	Cost
0	113	810
1	223	639
2	605	502
3	2479	466
done	5000	466

prune197.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- a 0.5) b x)
0.1b	(fma (log (/ E t)) z (fma (- a 0.5) b x))
0.4b	(/ E t)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log`
5×	`add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`div-exp` `fma-udef`
1×	`cbrt-undiv` `e-exp-1` `frac-2neg` `clear-num` `div-inv`

Counts

3 → 50

Calls

3 calls:

0.0ms	(fma (- a 0.5) b x)
0.0ms	(fma (log (/ E t)) z (fma (- a 0.5) b x))
2.0ms	(/ E t)

series201.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(fma (- a 0.5) b x)
148.0ms	(fma (log (/ E t)) z (fma (- a 0.5) b x))
22.0ms	(/ E t)

simplify636.0ms

Counts

59 → 59

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	90	516
1	154	501
2	391	443
3	1191	443
done	5000	443

prune214.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z (fma (- a 0.5) b x))
0.3b	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `prod-diff`
9×	`cbrt-prod`
8×	`pow1`
7×	`log-pow` `add-log-exp`
6×	`log-prod` `associate--r+`
5×	`pow1/3` `associate--l+`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg` `diff-log`
2×	`sub-neg` `distribute-lft-out--`
1×	`associate--l-` `flip3--` `flip--` `fma-udef` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

0.0ms	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z (fma (- a 0.5) b x))
17.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series849.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z (fma (- a 0.5) b x))
273.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
174.0ms	(cbrt t)
173.0ms	(cbrt t)

simplify558.0ms

Counts

96 → 96

Iterations

Useful iterations: done (555.0ms)

Iter	Nodes	Cost
0	147	1552
1	323	1257
2	1048	887
done	5000	864

prune381.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (- 1 (* 2 (log (pow t 1/3)))) (log (cbrt t))) z (fma (- a 0.5) b x))
0.3b	(- (- 1 (* 2 (log (pow t 1/3)))) (log (cbrt t)))
0.5b	(cbrt t)
5.1b	(pow t 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
18×	`prod-diff`
9×	`pow1`
7×	`log-pow` `add-log-exp`
6×	`cbrt-prod` `log-prod` `associate--r+`
5×	`add-exp-log` `associate--l+`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow` `fma-neg` `diff-log`
2×	`sub-neg` `distribute-lft-out--`
1×	`associate--l-` `pow-to-exp` `flip3--` `pow-pow` `unpow1/3` `pow-exp` `flip--` `fma-udef` `difference-of-squares` `sqr-pow`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma (- (- 1 (* 2 (log (pow t 1/3)))) (log (cbrt t))) z (fma (- a 0.5) b x))
17.0ms	(- (- 1 (* 2 (log (pow t 1/3)))) (log (cbrt t)))
0.0ms	(cbrt t)
1.0ms	(pow t 1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

288.0ms	(fma (- (- 1 (* 2 (log (pow t 1/3)))) (log (cbrt t))) z (fma (- a 0.5) b x))
382.0ms	(- (- 1 (* 2 (log (pow t 1/3)))) (log (cbrt t)))
177.0ms	(cbrt t)
176.0ms	(pow t 1/3)

simplify666.0ms

Counts

103 → 103

Iterations

Useful iterations: done (663.0ms)

Iter	Nodes	Cost
0	179	1700
1	392	1370
2	1300	1068
done	5000	986

prune411.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes408.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	22
1	25	22
done	25	22

end0.0ms

sample1.5s

Algorithm

intervals

Results

437.0ms	9242×	body	80	valid
385.0ms	9603×	body	80	nan
0.0ms	1×	body	1280	valid