Details

sample102.0ms

Algorithm

intervals

Results

26.0ms	293×	body	80	valid
22.0ms	275×	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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

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

series361.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(fma (- a 0.5) b (+ x y))
268.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

simplify2.5s

Counts

26 → 26

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	43	346
1	77	341
2	172	297
3	599	297
4	4388	297
done	5000	297

prune146.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

39.0ms	(* (- a 0.5) b)
210.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series161.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (- a 0.5) b)
63.0ms	(- (+ (+ x y) z) (* z (log t)))
56.0ms	(* z (log t))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	169	938
1	369	895
2	1236	804
done	5001	777

prune292.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt t)) z)
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* (log (cbrt t)) z))
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `associate-+l+` `log-prod` `distribute-lft-in`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

15.0ms	(* (log (cbrt t)) z)
25.0ms	(+ (* z (* 2 (log (cbrt t)))) (* (log (cbrt t)) z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series759.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (log (cbrt t)) z)
125.0ms	(+ (* z (* 2 (log (cbrt t)))) (* (log (cbrt t)) z))
230.0ms	(cbrt t)
232.0ms	(cbrt t)

simplify6.0s

Counts

98 → 98

Iterations

Useful iterations: 3 (3.0s)

Iter	Nodes	Cost
0	132	968
1	323	855
2	1004	677
3	4829	594
done	5000	594

prune573.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* 2 (log (cbrt t))))
0.2b	(* (log (cbrt t)) z)
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite68.0ms

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:

45.0ms	(* z (* 2 (log (cbrt t))))
15.0ms	(* (log (cbrt t)) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series735.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* z (* 2 (log (cbrt t))))
129.0ms	(* (log (cbrt t)) z)
251.0ms	(cbrt t)
240.0ms	(cbrt t)

simplify3.2s

Counts

104 → 104

Iterations

Useful iterations: 3 (1.7s)

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

prune501.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes417.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	20	16
done	20	16

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.2s	9188×	body	80	nan
931.0ms	9098×	body	80	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid