Details

sample54.0ms

Algorithm

intervals

Results

13.0ms	299×	body	80	valid
10.0ms	295×	body	80	nan
0.0ms	1×	body	640	valid

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))

rewrite661.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
10×	`sum-log`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `associate-*l/` `flip--` `associate--r+`
4×	`frac-add`
3×	`associate-+l+`
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 → 90

Calls

4 calls:

21.0ms	(* (- a 0.5) b)
479.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
150.0ms	(- (+ (+ x y) z) (* z (log t)))
8.0ms	(* z (log t))

series249.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- a 0.5) b)
144.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
38.0ms	(- (+ (+ x y) z) (* z (log t)))
39.0ms	(* z (log t))

simplify924.0ms

Counts

102 → 102

Iterations

Useful iterations: done (921.0ms)

Iter	Nodes	Cost
0	204	1549
1	531	1433
2	2172	1351
done	5001	1342

prune295.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite798.0ms

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:

627.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
148.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
9.0ms	(* (log (sqrt t)) z)
10.0ms	(* z (log (sqrt t)))

series320.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
51.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
117.0ms	(* (log (sqrt t)) z)
87.0ms	(* z (log (sqrt t)))

simplify671.0ms

Counts

112 → 112

Iterations

Useful iterations: done (667.0ms)

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

prune344.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (log (sqrt (cbrt t))))
0.2b	(* z (+ (log (sqrt t)) (log (fabs (cbrt t)))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`log-prod`
16×	`add-cube-cbrt`
14×	`pow1` `associate-r`
12×	`cbrt-prod` `sqrt-prod`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `log-pow` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out` `add-log-exp`
3×	`pow1/3`
2×	`sqrt-pow1` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `pow1/2` `flip-+`

Counts

4 → 88

Calls

4 calls:

12.0ms	(* z (log (sqrt (cbrt t))))
34.0ms	(* z (+ (log (sqrt t)) (log (fabs (cbrt t)))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series592.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* z (log (sqrt (cbrt t))))
117.0ms	(* z (+ (log (sqrt t)) (log (fabs (cbrt t)))))
186.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify1.5s

Counts

100 → 100

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	181	1006
1	377	946
2	925	837
3	2499	820
done	5001	818

prune447.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series715.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt t)
177.0ms	(cbrt t)
185.0ms	(cbrt t)
175.0ms	(cbrt t)

simplify1.4s

Counts

56 → 56

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	24	260
1	42	244
2	83	220
3	167	208
4	388	208
5	1317	208
done	5000	208

prune353.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes529.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	29
1	31	29
done	31	29

end0.0ms

sample1.6s

Algorithm

intervals

Results

405.0ms	9201×	body	80	valid
324.0ms	9169×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid