Details

sample242.0ms

Algorithm

intervals

Results

107.0ms	885×	body	80	nan
17.0ms	189×	body	80	valid
14.0ms	16×	body	1280	valid
10.0ms	18×	body	640	valid
7.0ms	22×	body	320	valid
2.0ms	12×	body	160	valid

simplify419.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize20.0ms

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))

rewrite35.0ms

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)))
15.0ms	(* x (log y))
7.0ms	(log (- 1.0 y))

series247.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(* z (log (- 1.0 y)))
74.0ms	(* x (log y))
73.0ms	(log (- 1.0 y))

simplify2.0s

Counts

79 → 79

Iterations

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

prune498.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z (- (log 1.0) (* y 1.0))) (/ (* (* z 1/2) (* y y)) (* 1.0 1.0)))
0.0b	(+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (/ (* (* z 1/2) (* y y)) (* 1.0 1.0))))
0.2b	(* x (log y))
7.4b	(* (* z 1/2) (* y y))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

28.0ms	(- (* z (- (log 1.0) (* y 1.0))) (/ (* (* z 1/2) (* y y)) (* 1.0 1.0)))
37.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (/ (* (* z 1/2) (* y y)) (* 1.0 1.0))))
11.0ms	(* x (log y))
51.0ms	(* (* z 1/2) (* y y))

series398.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(- (* z (- (log 1.0) (* y 1.0))) (/ (* (* z 1/2) (* y y)) (* 1.0 1.0)))
146.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (/ (* (* z 1/2) (* y y)) (* 1.0 1.0))))
41.0ms	(* x (log y))
54.0ms	(* (* z 1/2) (* y y))

simplify1.2s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	2504
1	583
0	221

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- (log 1.0) (* y 1.0)) z) (+ (* (/ -1/2 1.0) (/ (* y (* y z)) 1.0)) (* x (log (sqrt y)))))
0.1b	(* y (* y z))
0.2b	(* x (log (sqrt y)))
0.2b	(* x (log (sqrt y)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

133.0ms	(+ (* (- (log 1.0) (* y 1.0)) z) (+ (* (/ -1/2 1.0) (/ (* y (* y z)) 1.0)) (* x (log (sqrt y)))))
12.0ms	(* y (* y z))
9.0ms	(* x (log (sqrt y)))
9.0ms	(* x (log (sqrt y)))

series442.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(+ (* (- (log 1.0) (* y 1.0)) z) (+ (* (/ -1/2 1.0) (/ (* y (* y z)) 1.0)) (* x (log (sqrt y)))))
23.0ms	(* y (* y z))
108.0ms	(* x (log (sqrt y)))
112.0ms	(* x (log (sqrt y)))

simplify1.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	2635
1	575
0	198

prune933.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)
7.4b	(* (* z 1/2) (* y y))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

40.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
22.0ms	(* (* z 1/2) (* y y))

series721.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
276.0ms	(cbrt y)
240.0ms	(cbrt y)
48.0ms	(* (* z 1/2) (* y y))

simplify1.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	2188
1	463
0	172

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes533.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	43
1	43
0	32

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.6s	24083×	body	80	nan
953.0ms	5446×	body	80	valid
458.0ms	875×	body	640	valid
381.0ms	408×	body	1280	valid
285.0ms	792×	body	320	valid
91.0ms	506×	body	160	valid