Details

sample96.0ms

Algorithm

intervals

Results

31.0ms	294×	body	80	valid
24.0ms	295×	body	80	nan

simplify8.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.5s)

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

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)))

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:

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)))

series620.0ms

Counts

3 → 9

Calls

3 calls:

210.0ms	(- 1 (log t))
106.0ms	(fma (- a 0.5) b (+ x y))
304.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

simplify2.2s

Counts

65 → 65

Iterations

Useful iterations: done (2.2s)

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

prune269.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)

rewrite19.0ms

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:

1.0ms	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
13.0ms	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series2.2s

Counts

4 → 12

Calls

4 calls:

647.0ms	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
867.0ms	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
327.0ms	(cbrt t)
351.0ms	(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

prune632.0ms

Pruning

7 alts after pruning (6 fresh and 1 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))

rewrite1.1s

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:

23.0ms	(* (- a 0.5) b)
834.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
269.0ms	(- (+ (+ x y) z) (* z (log t)))
10.0ms	(* z (log t))

series362.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (- a 0.5) b)
181.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
76.0ms	(- (+ (+ x y) z) (* z (log t)))
69.0ms	(* z (log t))

simplify2.3s

Counts

128 → 128

Iterations

Useful iterations: done (2.3s)

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

prune550.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (* 2 (log (cbrt t))))
0.3b	(* (log (cbrt t)) z)
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
19×	`add-sqr-sqrt`
18×	`cbrt-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 92

Calls

4 calls:

27.0ms	(* z (* 2 (log (cbrt t))))
8.0ms	(* (log (cbrt t)) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series755.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* z (* 2 (log (cbrt t))))
127.0ms	(* (log (cbrt t)) z)
232.0ms	(cbrt t)
268.0ms	(cbrt t)

simplify3.5s

Counts

104 → 104

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	147	952
1	297	896
2	826	765
3	3314	748
done	5000	748

prune478.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes617.0ms

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	26	31
1	34	31
done	34	31

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s	9129×	body	80	valid
719.0ms	9227×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid