Details

sample102.0ms

Algorithm

intervals

Results

36.0ms	294×	body	80	valid
19.0ms	295×	body	80	nan

simplify8.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.7s)

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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)))

rewrite12.0ms

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:

9.0ms	(- 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)))

series612.0ms

Counts

3 → 9

Calls

3 calls:

203.0ms	(- 1 (log t))
79.0ms	(fma (- a 0.5) b (+ x y))
329.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

simplify2.0s

Counts

65 → 65

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	114	848
1	218	656
2	471	543
3	1639	507
done	5000	506

prune292.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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)))
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite15.0ms

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)))
11.0ms	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series2.1s

Counts

4 → 12

Calls

4 calls:

662.0ms	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
910.0ms	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
284.0ms	(cbrt t)
271.0ms	(cbrt t)

simplify3.5s

Counts

90 → 90

Iterations

Useful iterations: done (3.5s)

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

prune593.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (fma -2/3 (log t) 1) (log (cbrt t)))
0.3b	(* (- (fma -2/3 (log t) 1) (log (cbrt t))) z)
0.4b	(fma -2/3 (log t) 1)
0.5b	(cbrt t)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

13.0ms	(- (fma -2/3 (log t) 1) (log (cbrt t)))
54.0ms	(* (- (fma -2/3 (log t) 1) (log (cbrt t))) z)
0.0ms	(fma -2/3 (log t) 1)
2.0ms	(cbrt t)

series1.4s

Counts

4 → 12

Calls

4 calls:

571.0ms	(- (fma -2/3 (log t) 1) (log (cbrt t)))
304.0ms	(* (- (fma -2/3 (log t) 1) (log (cbrt t))) z)
246.0ms	(fma -2/3 (log t) 1)
243.0ms	(cbrt t)

simplify3.4s

Counts

102 → 102

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	158	1542
1	324	1340
2	906	964
3	4576	724
done	5000	720

prune395.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite991.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
27×	`add-log-exp`
22×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`log-prod`
10×	`prod-diff` `sum-log`
9×	`pow1` `distribute-lft-out`
8×	`add-exp-log` `associate-+l+` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `associate-*l/` `flip--` `associate--r+`
5×	`fma-neg`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`fma-def`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

30.0ms	(* (- a 0.5) b)
741.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
204.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series348.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- a 0.5) b)
200.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
55.0ms	(- (+ (+ x y) z) (* z (log t)))
55.0ms	(* z (log t))

simplify2.0s

Counts

128 → 128

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	222	1851
1	578	1715
2	2382	1571
done	5000	1545

prune432.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes621.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	27	25
done	27	25

end0.0ms

sample3.3s

Algorithm

intervals

Results

795.0ms	9129×	body	80	valid
629.0ms	9227×	body	80	nan
1.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid