Details

sample231.0ms

Algorithm

intervals

Results

65.0ms	885×	body	80	nan
16.0ms	189×	body	80	valid
16.0ms	16×	body	1280	valid
9.0ms	18×	body	640	valid
6.0ms	22×	body	320	valid
2.0ms	12×	body	160	valid

simplify662.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.2b	(* x (log y))
5.4b	(log (- 1.0 y))

rewrite30.0ms

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:

16.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
5.0ms	(log (- 1.0 y))

series235.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(* z (log (- 1.0 y)))
62.0ms	(* x (log y))
59.0ms	(log (- 1.0 y))

simplify2.4s

Counts

79 → 79

Iterations

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

prune625.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (/ (* z 1/2) (* (/ 1.0 y) (/ 1.0 y)))))
0.2b	(* x (log y))
0.3b	(* (/ 1.0 y) (/ 1.0 y))
8.0b	(/ (* z 1/2) (* (/ 1.0 y) (/ 1.0 y)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-cbrt-cube` `add-exp-log`
54×	`add-sqr-sqrt`
41×	`times-frac`
40×	`*-un-lft-identity` `add-cube-cbrt`
22×	`cbrt-undiv` `div-exp`
18×	`log-prod` `prod-exp` `cbrt-unprod`
17×	`associate-r`
16×	`associate-l` `associate--l+`
14×	`pow1`
13×	`swap-sqr`
12×	`associate-+r+`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-log-exp`
6×	`associate-+l+`
5×	`div-inv` `unswap-sqr`
3×	`sub-neg` `associate-/r/`
2×	`frac-times` `sum-log` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`
1×	`pow2` `+-commutative` `clear-num` `associate-+r-` `associate-/r` `frac-2neg` `flip3-+` `pow-plus` `diff-log` `pow-sqr` `log-pow` `pow-prod-up` `flip-+` `associate-/l`

Counts

4 → 159

Calls

4 calls:

42.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (/ (* z 1/2) (* (/ 1.0 y) (/ 1.0 y)))))
14.0ms	(* x (log y))
25.0ms	(* (/ 1.0 y) (/ 1.0 y))
16.0ms	(/ (* z 1/2) (* (/ 1.0 y) (/ 1.0 y)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (/ (* z 1/2) (* (/ 1.0 y) (/ 1.0 y)))))
65.0ms	(* x (log y))
34.0ms	(* (/ 1.0 y) (/ 1.0 y))
59.0ms	(/ (* z 1/2) (* (/ 1.0 y) (/ 1.0 y)))

simplify1.2s

Counts

171 → 171

Iterations

Iter	Nodes
done	5001
1	859
0	271

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (sqrt y)) x)
0.2b	(* (log (sqrt y)) x)
0.3b	(* (/ 1.0 y) (/ 1.0 y))
8.0b	(/ (* z 1/2) (* (/ 1.0 y) (/ 1.0 y)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-cbrt-cube` `add-exp-log`
52×	`add-sqr-sqrt`
41×	`times-frac`
36×	`*-un-lft-identity` `add-cube-cbrt`
25×	`associate-l`
22×	`cbrt-undiv` `div-exp`
19×	`pow1` `associate-r` `prod-exp` `cbrt-unprod`
13×	`swap-sqr`
6×	`log-pow` `unswap-sqr`
5×	`div-inv`
4×	`add-log-exp`
3×	`pow-prod-down` `associate-/r/` `*-commutative`
2×	`frac-times` `sqrt-pow1` `pow1/2` `associate-l/` `associate-r/`
1×	`pow2` `clear-num` `associate-/r` `frac-2neg` `pow-plus` `pow-sqr` `pow-prod-up` `associate-/l`

Counts

4 → 145

Calls

4 calls:

8.0ms	(* (log (sqrt y)) x)
12.0ms	(* (log (sqrt y)) x)
18.0ms	(* (/ 1.0 y) (/ 1.0 y))
26.0ms	(/ (* z 1/2) (* (/ 1.0 y) (/ 1.0 y)))

series399.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (log (sqrt y)) x)
152.0ms	(* (log (sqrt y)) x)
36.0ms	(* (/ 1.0 y) (/ 1.0 y))
37.0ms	(/ (* z 1/2) (* (/ 1.0 y) (/ 1.0 y)))

simplify806.0ms

Counts

157 → 157

Iterations

Iter	Nodes
done	5000
1	725
0	213

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (log (sqrt y)) x) (- (* z (- (log 1.0) (* y 1.0))) (* (* (* 0.5 z) y) y)))
0.1b	(* (* (* 0.5 z) y) y)
0.2b	(* (log (sqrt y)) x)
0.2b	(* (log (sqrt y)) x)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
16×	`associate--l+`
15×	`add-sqr-sqrt`
13×	`associate-l`
12×	`associate-+r+`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r` `add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`log-prod` `log-pow`
5×	`distribute-rgt-in` `distribute-lft-in`
3×	`sub-neg` `*-commutative`
2×	`sum-log` `sqrt-pow1` `pow1/2` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `flip3-+` `diff-log` `flip-+`

Counts

4 → 88

Calls

4 calls:

38.0ms	(+ (* (log (sqrt y)) x) (- (* z (- (log 1.0) (* y 1.0))) (* (* (* 0.5 z) y) y)))
53.0ms	(* (* (* 0.5 z) y) y)
8.0ms	(* (log (sqrt y)) x)
8.0ms	(* (log (sqrt y)) x)

series566.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(+ (* (log (sqrt y)) x) (- (* z (- (log 1.0) (* y 1.0))) (* (* (* 0.5 z) y) y)))
49.0ms	(* (* (* 0.5 z) y) y)
152.0ms	(* (log (sqrt y)) x)
166.0ms	(* (log (sqrt y)) x)

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1967
1	406
0	158

prune794.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes555.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	28
1	28
0	20

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.4s	24083×	body	80	nan
878.0ms	5446×	body	80	valid
427.0ms	875×	body	640	valid
381.0ms	408×	body	1280	valid
281.0ms	792×	body	320	valid
82.0ms	506×	body	160	valid