Details

sample123.0ms

Algorithm

intervals

Results

28.0ms	295×	body	80	valid
27.0ms	318×	body	80	nan

simplify9.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	84	16
3	261	16
4	691	16
5	1728	16
6	3874	16
done	5000	16

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite323.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

29.0ms	(+ (+ x y) z)
45.0ms	(* (- a 0.5) b)
224.0ms	(- (+ (+ x y) z) (* z (log t)))
19.0ms	(* z (log t))

series206.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (+ x y) z)
33.0ms	(* (- a 0.5) b)
67.0ms	(- (+ (+ x y) z) (* z (log t)))
73.0ms	(* z (log t))

simplify1.3s

Counts

95 → 95

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	169	890
1	385	832
2	1309	766
done	5001	752

prune405.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
24×	`log-prod`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
10×	`diff-log`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sum-log` `log-pow`
5×	`associate--l+`
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 → 100

Calls

4 calls:

1.0s	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
235.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
17.0ms	(* (log (sqrt t)) z)
31.0ms	(* z (log (sqrt t)))

series482.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
77.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
195.0ms	(* (log (sqrt t)) z)
115.0ms	(* z (log (sqrt t)))

simplify980.0ms

Counts

112 → 112

Iterations

Useful iterations: done (976.0ms)

Iter	Nodes	Cost
0	182	1591
1	422	1461
2	1385	1280
done	5001	1226

prune428.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(log (sqrt t))
0.3b	(- z (* (log (sqrt t)) (+ z z)))
0.3b	(* (log (sqrt t)) (+ z z))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
15×	`associate-r`
14×	`add-cube-cbrt`
12×	`pow1`
11×	`associate-l`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`log-prod` `log-pow` `add-log-exp`
3×	`distribute-rgt-out` `sqrt-prod` `distribute-lft-out`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `associate--r+` `unswap-sqr`
1×	`sub-neg` `distribute-lft1-in` `flip3-+` `count-2` `diff-log` `rem-log-exp` `distribute-rgt1-in` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 87

Calls

4 calls:

23.0ms	(* (- a 0.5) b)
2.0ms	(log (sqrt t))
12.0ms	(- z (* (log (sqrt t)) (+ z z)))
26.0ms	(* (log (sqrt t)) (+ z z))

series504.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- a 0.5) b)
93.0ms	(log (sqrt t))
203.0ms	(- z (* (log (sqrt t)) (+ z z)))
175.0ms	(* (log (sqrt t)) (+ z z))

simplify3.6s

Counts

99 → 99

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	178	995
1	430	924
2	1309	834
3	4503	818
done	5001	809

prune386.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt t))
0.2b	(* z (+ (log (sqrt t)) (log (sqrt (sqrt t)))))
0.3b	(* (log (sqrt (sqrt t))) z)
0.3b	(+ (log (sqrt t)) (log (sqrt (sqrt t))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

53×	`log-pow`
43×	`pow1`
34×	`sqrt-pow1`
27×	`*-un-lft-identity`
22×	`pow1/2` `associate-r` `sqrt-prod`
21×	`add-sqr-sqrt`
16×	`distribute-rgt-out`
15×	`add-cube-cbrt` `log-prod`
12×	`distribute-lft-out`
11×	`associate-l`
9×	`associate-+r+`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+l+`
4×	`distribute-rgt1-in` `add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `sum-log`

Counts

4 → 122

Calls

4 calls:

2.0ms	(sqrt (sqrt t))
57.0ms	(* z (+ (log (sqrt t)) (log (sqrt (sqrt t)))))
15.0ms	(* (log (sqrt (sqrt t))) z)
30.0ms	(+ (log (sqrt t)) (log (sqrt (sqrt t))))

series843.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(sqrt (sqrt t))
265.0ms	(* z (+ (log (sqrt t)) (log (sqrt (sqrt t)))))
211.0ms	(* (log (sqrt (sqrt t))) z)
207.0ms	(+ (log (sqrt t)) (log (sqrt (sqrt t))))

simplify1.2s

Counts

134 → 134

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	237	1393
1	598	1252
2	1687	1097
done	5001	996

prune595.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes451.0ms

Accuracy

0% (0.1b 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	17	19
1	22	19
done	22	19

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.1s	9069×	body	80	nan
878.0ms	9173×	body	80	valid
0.0ms	1×	body	160	valid