Details

sample59.0ms

Algorithm

intervals

Results

16.0ms	333×	body	80	nan
14.0ms	301×	body	80	valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (787.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	87	15
3	242	15
4	710	15
5	1952	14
6	4021	14
done	5000	14

prune16.0ms

Pruning

2 alts after pruning (2 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))

rewrite436.0ms

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:

10.0ms	(* (- a 0.5) b)
315.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
101.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series279.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- a 0.5) b)
159.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
40.0ms	(- (+ (+ x y) z) (* z (log t)))
45.0ms	(* z (log t))

simplify829.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (240.0ms)

Iter	Nodes	Cost
0	222	1851
1	576	1715
2	2304	1571
done	5001	1571

prune438.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

0.0ms	(fma b (- a 0.5) (- z (* z (log t))))
16.0ms	(+ (+ x y) (fma b (- a 0.5) (- z (* z (log t)))))
3.0ms	(- z (* z (log t)))
4.0ms	(* z (log t))

series321.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(fma b (- a 0.5) (- z (* z (log t))))
147.0ms	(+ (+ x y) (fma b (- a 0.5) (- z (* z (log t)))))
55.0ms	(- z (* z (log t)))
50.0ms	(* z (log t))

simplify2.3s

Counts

97 → 97

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	160	1145
1	352	1060
2	963	977
3	3940	934
done	5001	919

prune367.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
8×	`pow1`
7×	`add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u`
3×	`log-prod` `fma-def` `fma-neg` `fma-udef` `associate--r+`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 74

Calls

4 calls:

4.0ms	(- 1 (log t))
3.0ms	(+ x (fma b (- a 0.5) (fma z (- 1 (log t)) y)))
0.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) y))
0.0ms	(fma z (- 1 (log t)) y)

series468.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(- 1 (log t))
150.0ms	(+ x (fma b (- a 0.5) (fma z (- 1 (log t)) y)))
96.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) y))
74.0ms	(fma z (- 1 (log t)) y)

simplify1.6s

Counts

86 → 86

Iterations

Useful iterations: 3 (588.0ms)

Iter	Nodes	Cost
0	147	1210
1	322	991
2	769	879
3	2952	814
done	5000	814

prune320.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (fma z (* -2 (log (cbrt t))) z) (* (log (cbrt t)) z))
4.0ms	(* (log (cbrt t)) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series808.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(- (fma z (* -2 (log (cbrt t))) z) (* (log (cbrt t)) z))
149.0ms	(* (log (cbrt t)) z)
219.0ms	(cbrt t)
212.0ms	(cbrt t)

simplify2.1s

Counts

81 → 81

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	111	814
1	229	773
2	683	676
3	2904	616
done	5001	606

prune395.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes296.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	14
1	17	14
done	17	14

end0.0ms

sample1.5s

Algorithm

intervals

Results

445.0ms	9234×	body	80	valid
362.0ms	9120×	body	80	nan
1.0ms	3×	body	640	valid