Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	294×	body	80	valid
13.0ms	291×	body	80	nan

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 5 (236.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	87	15
3	243	15
4	725	15
5	2121	14
6	4677	14
done	5000	14

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

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

series483.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(- 1 (log t))
224.0ms	(+ (fma (- 1 (log t)) z (fma (- a 0.5) b x)) y)
136.0ms	(fma (- 1 (log t)) z (fma (- a 0.5) b x))

simplify3.5s

Counts

73 → 73

Iterations

Useful iterations: 3 (623.0ms)

Iter	Nodes	Cost
0	126	1043
1	275	846
2	774	721
3	3099	674
done	5000	674

prune204.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite117.0ms

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)
100.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* 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)))
39.0ms	(* z (log t))

simplify609.0ms

Counts

93 → 93

Iterations

Useful iterations: done (607.0ms)

Iter	Nodes	Cost
0	169	938
1	368	895
2	1487	800
done	5001	795

prune261.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

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)))) (* z (log (sqrt t))))
0.3b	(* z (log (sqrt t)))
0.3b	(* z (log (sqrt t)))

rewrite556.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
44×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
27×	`add-log-exp`
24×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
13×	`prod-diff`
12×	`pow1` `associate-r`
10×	`diff-log` `associate--l+`
9×	`distribute-lft-out`
8×	`add-exp-log` `fma-neg` `add-cbrt-cube`
6×	`associate-l` `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 → 153

Calls

4 calls:

101.0ms	(- (+ (+ x y) z) (* z (log (sqrt t))))
437.0ms	(- (- (+ (+ x y) z) (* z (log (sqrt t)))) (* z (log (sqrt t))))
6.0ms	(* z (log (sqrt t)))
6.0ms	(* z (log (sqrt t)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (+ (+ x y) z) (* z (log (sqrt t))))
59.0ms	(- (- (+ (+ x y) z) (* z (log (sqrt t)))) (* z (log (sqrt t))))
84.0ms	(* z (log (sqrt t)))
85.0ms	(* z (log (sqrt t)))

simplify817.0ms

Counts

165 → 165

Iterations

Useful iterations: done (813.0ms)

Iter	Nodes	Cost
0	193	2372
1	461	2158
2	1966	1803
done	5000	1789

prune489.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (* 2 (log (cbrt t))) z)
10.0ms	(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series640.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (* 2 (log (cbrt t))) z)
136.0ms	(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
183.0ms	(cbrt t)
192.0ms	(cbrt t)

simplify614.0ms

Counts

84 → 84

Iterations

Useful iterations: done (612.0ms)

Iter	Nodes	Cost
0	129	867
1	315	776
2	1177	594
done	5000	576

prune357.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes425.0ms

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

sample1.4s

Algorithm

intervals

Results

427.0ms	9149×	body	80	valid
340.0ms	8989×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid