Details

sample60.0ms

Algorithm

intervals

Results

16.0ms	282×	body	80	valid
10.0ms	274×	body	80	nan

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.1s)

Iter	Nodes	Cost
0	15	16
1	30	16
2	88	15
3	276	15
4	776	15
5	2106	14
6	4827	14
done	5000	14

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

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:

0.0ms	(fma (- a 0.5) b (+ x y))
8.0ms	(- 1 (log t))
0.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

series381.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(fma (- a 0.5) b (+ x y))
128.0ms	(- 1 (log t))
199.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

simplify1.5s

Counts

65 → 65

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	114	848
1	218	656
2	472	543
3	1643	507
done	5000	506

prune192.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-log-exp`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `prod-diff` `add-cbrt-cube`
5×	`associate-+l+`
4×	`expm1-log1p-u` `fma-def` `associate-l` `log1p-expm1-u`
3×	`fma-neg` `associate-r`
2×	`sub-neg` `distribute-rgt-out--` `diff-log` `sum-log` `fma-udef`
1×	`+-commutative` `associate-+l-` `associate-+r+` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma (- a 0.5) b (+ x y))
22.0ms	(+ (- z (* (log t) z)) (fma (- a 0.5) b (+ x y)))
8.0ms	(- z (* (log t) z))
8.0ms	(* (log t) z)

series381.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(fma (- a 0.5) b (+ x y))
209.0ms	(+ (- z (* (log t) z)) (fma (- a 0.5) b (+ x y)))
46.0ms	(- z (* (log t) z))
66.0ms	(* (log t) z)

simplify2.2s

Counts

90 → 90

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	130	1028
1	296	953
2	860	885
3	4000	848
done	5000	848

prune288.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
0.3b	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
9.0ms	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.4s

Counts

4 → 12

Calls

4 calls:

450.0ms	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
570.0ms	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
189.0ms	(cbrt t)
186.0ms	(cbrt t)

simplify2.3s

Counts

90 → 90

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	139	1418
1	280	1239
2	748	1011
3	3420	814
done	5000	813

prune334.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt (fma -2 (log (cbrt t)) 1))
0.6b	(cbrt (fma -2 (log (cbrt t)) 1))
0.6b	(cbrt (fma -2 (log (cbrt t)) 1))

rewrite6.0ms

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 t)
1.0ms	(cbrt (fma -2 (log (cbrt t)) 1))
1.0ms	(cbrt (fma -2 (log (cbrt t)) 1))
1.0ms	(cbrt (fma -2 (log (cbrt t)) 1))

series1.4s

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt t)
416.0ms	(cbrt (fma -2 (log (cbrt t)) 1))
410.0ms	(cbrt (fma -2 (log (cbrt t)) 1))
399.0ms	(cbrt (fma -2 (log (cbrt t)) 1))

simplify2.6s

Counts

64 → 64

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	54	617
1	99	592
2	197	532
3	461	442
4	1141	442
5	4407	442
done	5000	442

prune385.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes325.0ms

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	14	15
1	17	15
done	17	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

404.0ms	9129×	body	80	valid
345.0ms	8946×	body	80	nan
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid