Details

sample100.0ms

Algorithm

intervals

Results

30.0ms	301×	body	80	nan
21.0ms	300×	body	80	valid

simplify8.8s

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

1.0ms

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

series320.0ms

Counts

1 → 3

Calls

1 calls:

320.0ms

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

simplify1.9s

Counts

13 → 13

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	32	212
1	61	209
2	127	181
3	393	181
4	2650	181
done	5000	181

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite1.2s

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:

22.0ms	(* (- a 0.5) b)
916.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
234.0ms	(- (+ (+ x y) z) (* z (log t)))
14.0ms	(* z (log t))

series346.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (- a 0.5) b)
189.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
54.0ms	(- (+ (+ x y) z) (* z (log t)))
51.0ms	(* 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

prune511.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* 2 (log (cbrt t))))
0.2b	(* (log (cbrt t)) z)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite56.0ms

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:

39.0ms	(* z (* 2 (log (cbrt t))))
9.0ms	(* (log (cbrt t)) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series753.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* z (* 2 (log (cbrt t))))
194.0ms	(* (log (cbrt t)) z)
223.0ms	(cbrt t)
215.0ms	(cbrt t)

simplify3.7s

Counts

104 → 104

Iterations

Useful iterations: 3 (1.9s)

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

prune544.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* 2 (log (cbrt t))))
0.3b	(* (- (log t)) z)
0.4b	(* -1/3 (* (- (log t)) z))
0.6b	(cbrt t)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
21×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1` `associate-l`
16×	`add-exp-log` `add-cbrt-cube`
15×	`cbrt-prod`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`distribute-lft-neg-out` `log-pow`
1×	`neg-mul-1` `pow1/3` `distribute-rgt-neg-out` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

27.0ms	(* z (* 2 (log (cbrt t))))
13.0ms	(* (- (log t)) z)
21.0ms	(* -1/3 (* (- (log t)) z))
1.0ms	(cbrt t)

series544.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* z (* 2 (log (cbrt t))))
69.0ms	(* (- (log t)) z)
84.0ms	(* -1/3 (* (- (log t)) z))
276.0ms	(cbrt t)

simplify1.2s

Counts

120 → 120

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	194	1152
1	417	1096
2	1324	889
done	5000	865

prune486.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes462.0ms

Accuracy

0% (0.0b 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	14
1	17	14
done	17	14

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.2s	9161×	body	80	nan
812.0ms	9142×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid