Details

sample55.0ms

Algorithm

intervals

Results

14.0ms	294×	body	80	valid
14.0ms	291×	body	80	nan

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (721.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	87	15
3	242	15
4	710	15
5	1948	14
6	4015	14
done	5001	14

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

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

series313.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(- 1 (log t))
189.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

simplify1.2s

Counts

52 → 52

Iterations

Useful iterations: 3 (280.0ms)

Iter	Nodes	Cost
0	103	714
1	197	524
2	422	451
3	1507	391
done	5000	391

prune148.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite124.0ms

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:

10.0ms	(* (- a 0.5) b)
105.0ms	(- (+ (+ x y) z) (* z (log t)))
6.0ms	(* z (log t))

series102.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- a 0.5) b)
34.0ms	(- (+ (+ x y) z) (* z (log t)))
40.0ms	(* z (log t))

simplify775.0ms

Counts

93 → 93

Iterations

Useful iterations: done (773.0ms)

Iter	Nodes	Cost
0	169	938
1	359	895
2	1198	800
done	5000	799

prune277.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ (+ x y) z) (* z (log (sqrt t))))
0.1b	(- (- (+ (+ x y) z) (* z (log (sqrt t)))) (* (log (sqrt t)) z))
0.3b	(* (log (sqrt t)) z)
0.3b	(* z (log (sqrt t)))

rewrite566.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
27×	`add-log-exp`
25×	`add-sqr-sqrt`
24×	`log-prod`
21×	`add-cube-cbrt`
13×	`prod-diff`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
10×	`diff-log` `associate--l+`
9×	`associate-r` `associate-l` `distribute-lft-out`
8×	`add-exp-log` `fma-neg` `add-cbrt-cube`
6×	`sum-log` `log-pow`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg`
2×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 129

Calls

4 calls:

105.0ms	(- (+ (+ x y) z) (* z (log (sqrt t))))
447.0ms	(- (- (+ (+ x y) z) (* z (log (sqrt t)))) (* (log (sqrt t)) z))
4.0ms	(* (log (sqrt t)) z)
6.0ms	(* z (log (sqrt t)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (+ (+ x y) z) (* z (log (sqrt t))))
55.0ms	(- (- (+ (+ x y) z) (* z (log (sqrt t)))) (* (log (sqrt t)) z))
117.0ms	(* (log (sqrt t)) z)
85.0ms	(* z (log (sqrt t)))

simplify740.0ms

Counts

141 → 141

Iterations

Useful iterations: done (737.0ms)

Iter	Nodes	Cost
0	204	2002
1	444	1852
2	1499	1500
done	5000	1479

prune456.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (log (cbrt t)))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

6.0ms	(* z (log (cbrt t)))
14.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series549.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* z (log (cbrt t)))
102.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
181.0ms	(cbrt t)
173.0ms	(cbrt t)

simplify2.8s

Counts

123 → 123

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	163	1298
1	348	1053
2	973	925
3	4515	829
done	5000	829

prune533.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes268.0ms

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

463.0ms	9149×	body	80	valid
366.0ms	8989×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid