Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	297×	body	80	valid
12.0ms	326×	body	80	nan

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (382.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	87	15
3	242	15
4	710	15
5	1952	14
6	4012	14
done	5000	14

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite6.0ms

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:

4.0ms	(- 1 (log t))
0.0ms	(fma (- a 0.5) b (+ x y))
0.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

series355.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(- 1 (log t))
52.0ms	(fma (- a 0.5) b (+ x y))
183.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

simplify948.0ms

Counts

65 → 65

Iterations

Useful iterations: 3 (267.0ms)

Iter	Nodes	Cost
0	114	848
1	213	656
2	469	567
3	1694	507
done	5000	507

prune199.0ms

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 y))
0.1b	(fma z (log (/ E t)) (fma (- a 0.5) b (+ x y)))
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 y))
0.0ms	(fma z (log (/ E t)) (fma (- a 0.5) b (+ x y)))
2.0ms	(/ E t)

series287.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(fma (- a 0.5) b (+ x y))
208.0ms	(fma z (log (/ E t)) (fma (- a 0.5) b (+ x y)))
27.0ms	(/ E t)

simplify1.4s

Counts

59 → 59

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	91	554
1	155	540
2	336	484
3	922	484
4	4049	484
done	5001	484

prune217.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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 z (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
16.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series996.0ms

Counts

4 → 12

Calls

4 calls:

351.0ms	(fma z (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
280.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
185.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify4.7s

Counts

96 → 96

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	149	1572
1	311	1274
2	922	894
3	4898	654
done	5000	654

prune352.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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 z (- (- 1 (* 2 (log (pow t 1/3)))) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
18.0ms	(- (- 1 (* 2 (log (pow t 1/3)))) (log (cbrt t)))
0.0ms	(cbrt t)
1.0ms	(pow t 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

453.0ms	(fma z (- (- 1 (* 2 (log (pow t 1/3)))) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
391.0ms	(- (- 1 (* 2 (log (pow t 1/3)))) (log (cbrt t)))
178.0ms	(cbrt t)
171.0ms	(pow t 1/3)

simplify871.0ms

Counts

103 → 103

Iterations

Useful iterations: done (868.0ms)

Iter	Nodes	Cost
0	181	1720
1	379	1388
2	1039	1088
done	5000	838

prune389.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes549.0ms

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

438.0ms	9242×	body	80	valid
379.0ms	9603×	body	80	nan
0.0ms	1×	body	1280	valid