Details

sample106.0ms

Algorithm

intervals

Results

31.0ms	295×	body	80	valid
29.0ms	318×	body	80	nan

simplify7.9s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

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))

rewrite268.0ms

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:

32.0ms	(+ (+ x y) z)
22.0ms	(* (- a 0.5) b)
195.0ms	(- (+ (+ x y) z) (* z (log t)))
15.0ms	(* z (log t))

series158.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (+ x y) z)
42.0ms	(* (- a 0.5) b)
57.0ms	(- (+ (+ x y) z) (* z (log t)))
41.0ms	(* z (log t))

simplify815.0ms

Counts

95 → 95

Iterations

Useful iterations: done (813.0ms)

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

prune375.0ms

Pruning

8 alts after pruning (8 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)) (* (log (sqrt t)) z))
0.1b	(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.3b	(* (log (sqrt t)) z)
0.3b	(* (log (sqrt t)) z)

rewrite925.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
12×	`pow1` `add-sqr-sqrt` `associate-l`
10×	`diff-log`
8×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `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 → 76

Calls

4 calls:

702.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* (log (sqrt t)) z))
190.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
16.0ms	(* (log (sqrt t)) z)
12.0ms	(* (log (sqrt t)) z)

series565.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* (log (sqrt t)) z))
76.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
188.0ms	(* (log (sqrt t)) z)
199.0ms	(* (log (sqrt t)) z)

simplify996.0ms

Counts

88 → 88

Iterations

Useful iterations: done (993.0ms)

Iter	Nodes	Cost
0	120	1221
1	302	1061
2	1128	952
done	5000	922

prune427.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 60

Calls

4 calls:

29.0ms	(* (log (cbrt t)) z)
22.0ms	(* (* 2 (log (cbrt t))) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series901.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (log (cbrt t)) z)
200.0ms	(* (* 2 (log (cbrt t))) z)
243.0ms	(cbrt t)
299.0ms	(cbrt t)

simplify3.1s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	88	525
1	195	493
2	691	406
3	2791	397
done	5000	397

prune359.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt t)) z)
0.3b	(* z 2/3)
0.3b	(* (* z 2/3) (log t))
0.6b	(cbrt t)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`pow1`
13×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
9×	`associate-l`
6×	`log-prod`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `log-pow` `*-commutative`
2×	`pow1/3` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

10.0ms	(* (log (cbrt t)) z)
16.0ms	(* z 2/3)
29.0ms	(* (* z 2/3) (log t))
1.0ms	(cbrt t)

series490.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (log (cbrt t)) z)
21.0ms	(* z 2/3)
58.0ms	(* (* z 2/3) (log t))
245.0ms	(cbrt t)

simplify2.5s

Counts

86 → 86

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	129	624
1	275	584
2	864	508
3	2749	493
done	5000	490

prune325.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes384.0ms

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	23
1	22	23
done	22	23

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	9069×	body	80	nan
1.0s	9173×	body	80	valid
0.0ms	1×	body	160	valid