Details

sample144.0ms

Algorithm

intervals

Results

50.0ms	771×	body	80	nan
13.0ms	25×	body	640	valid
13.0ms	16×	body	1280	valid
12.0ms	178×	body	80	valid
8.0ms	31×	body	320	valid
1.0ms	7×	body	160	valid

simplify617.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	618
7	187
6	90
5	59
4	44
3	38
2	30
1	21
0	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.2b	(* x (log y))
4.6b	(log (- 1.0 y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`log-prod`
18×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`pow1`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-l`
3×	`log-pow` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `rem-log-exp` `flip--`

Counts

3 → 70

Calls

3 calls:

12.0ms	(* z (log (- 1.0 y)))
6.0ms	(* x (log y))
4.0ms	(log (- 1.0 y))

series183.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* z (log (- 1.0 y)))
40.0ms	(* x (log y))
54.0ms	(log (- 1.0 y))

simplify2.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
3	4829
2	1137
1	368
0	168

prune512.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (log y)) (* z (- (- (log 1.0) (* y 1.0)) (* (* 1/2 (/ y 1.0)) (/ y 1.0)))))
0.0b	(* z (- (- (log 1.0) (* y 1.0)) (* (* 1/2 (/ y 1.0)) (/ y 1.0))))
0.2b	(* x (log y))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate--l+`
24×	`log-prod`
20×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
14×	`associate-+r+` `associate-*r/`
8×	`pow1` `sub-neg`
7×	`add-cbrt-cube` `associate-r` `add-exp-log`
6×	`associate-+l+` `associate-l` `frac-sub`
5×	`add-log-exp`
4×	`flip3--` `flip--`
2×	`frac-times` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `log-pow` `flip-+`

Counts

3 → 96

Calls

3 calls:

22.0ms	(+ (* x (log y)) (* z (- (- (log 1.0) (* y 1.0)) (* (* 1/2 (/ y 1.0)) (/ y 1.0)))))
101.0ms	(* z (- (- (log 1.0) (* y 1.0)) (* (* 1/2 (/ y 1.0)) (/ y 1.0))))
12.0ms	(* x (log y))

series269.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ (* x (log y)) (* z (- (- (log 1.0) (* y 1.0)) (* (* 1/2 (/ y 1.0)) (/ y 1.0)))))
103.0ms	(* z (- (- (log 1.0) (* y 1.0)) (* (* 1/2 (/ y 1.0)) (/ y 1.0))))
46.0ms	(* x (log y))

simplify1.5s

Counts

105 → 105

Iterations

Iter	Nodes
done	5002
2	2007
1	535
0	215

prune713.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* x (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
12×	`associate-+r+` `log-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`pow1/3`
2×	`associate-+l+`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 59

Calls

4 calls:

15.0ms	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series832.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* x (log (cbrt y))))
250.0ms	(cbrt y)
244.0ms	(cbrt y)
206.0ms	(cbrt y)

simplify1.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1335
1	252
0	93

prune664.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (+ (log (cbrt (sqrt y))) (* 2/3 (log y))))
0.4b	(* 2/3 (log y))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

29.0ms	(* x (+ (log (cbrt (sqrt y))) (* 2/3 (log y))))
13.0ms	(* 2/3 (log y))
1.0ms	(cbrt (sqrt y))
1.0ms	(cbrt (sqrt y))

series821.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* x (+ (log (cbrt (sqrt y))) (* 2/3 (log y))))
165.0ms	(* 2/3 (log y))
219.0ms	(cbrt (sqrt y))
265.0ms	(cbrt (sqrt y))

simplify1.1s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1265
1	381
0	154

prune634.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes371.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	36
1	36
0	26

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.6s	24059×	body	80	nan
574.0ms	5561×	body	80	valid
403.0ms	867×	body	640	valid
314.0ms	411×	body	1280	valid
207.0ms	758×	body	320	valid
90.0ms	438×	body	160	valid