Details

sample215.0ms

Algorithm

intervals

Results

89.0ms	802×	body	80	nan
18.0ms	36×	body	640	valid
15.0ms	170×	body	80	valid
13.0ms	12×	body	1280	valid
7.0ms	25×	body	320	valid
2.0ms	14×	body	160	valid

simplify416.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b	(* x (log y))
6.9b	(log (- 1.0 y))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate-r`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`sum-log` `sub-neg` `rem-log-exp` `associate--l+`

Counts

4 → 86

Calls

4 calls:

23.0ms	(* z (log (- 1.0 y)))
62.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
14.0ms	(* x (log y))
5.0ms	(log (- 1.0 y))

series366.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* z (log (- 1.0 y)))
136.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
73.0ms	(* x (log y))
56.0ms	(log (- 1.0 y))

simplify763.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1460
1	470
0	209

prune587.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
27×	`add-cbrt-cube` `add-exp-log`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`log-prod`
17×	`associate--l+`
16×	`times-frac` `associate-l`
14×	`associate-+r+`
13×	`distribute-rgt-in` `distribute-lft-in`
11×	`associate-r` `add-log-exp`
9×	`pow1` `prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`associate-+l+`
5×	`sub-neg` `unswap-sqr`
2×	`sum-log` `diff-log` `pow-prod-down` `*-commutative` `div-inv`
1×	`frac-times` `+-commutative` `flip3-+` `flip3--` `associate-l/` `associate-r/` `log-pow` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 120

Calls

4 calls:

71.0ms	(- (+ (* x (log y)) (* z (- (- (log 1.0) (* 1.0 y)) (* (/ 1/2 1.0) (/ (* y y) 1.0))))) t)
20.0ms	(+ (* x (log y)) (* z (- (- (log 1.0) (* 1.0 y)) (* (/ 1/2 1.0) (/ (* y y) 1.0)))))
47.0ms	(* (/ 1/2 1.0) (/ (* y y) 1.0))
10.0ms	(* x (log y))

series468.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(- (+ (* x (log y)) (* z (- (- (log 1.0) (* 1.0 y)) (* (/ 1/2 1.0) (/ (* y y) 1.0))))) t)
151.0ms	(+ (* x (log y)) (* z (- (- (log 1.0) (* 1.0 y)) (* (/ 1/2 1.0) (/ (* y y) 1.0)))))
35.0ms	(* (/ 1/2 1.0) (/ (* y y) 1.0))
47.0ms	(* x (log y))

simplify1.6s

Counts

132 → 132

Iterations

Iter	Nodes
done	5001
2	3248
1	672
0	246

prune919.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 1/2 1.0) (/ (* y y) 1.0))
0.0b	(+ (* x (log y)) (* (- (log 1.0) (* y 1.0)) z))
0.3b	(* x (log y))
7.4b	(* (- (* (/ 1/2 1.0) (/ (* y y) 1.0))) z)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
29×	`add-cbrt-cube` `add-exp-log`
22×	`associate-l`
21×	`*-un-lft-identity` `add-cube-cbrt`
16×	`times-frac`
14×	`associate-r`
12×	`log-prod`
11×	`pow1`
10×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `add-log-exp` `unswap-sqr`
5×	`associate-*l/`
3×	`pow-prod-down` `*-commutative` `distribute-neg-frac`
2×	`frac-times` `associate-*r/` `div-inv`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `distribute-rgt-neg-in` `flip3-+` `log-pow` `flip-+`

Counts

4 → 115

Calls

4 calls:

39.0ms	(* (/ 1/2 1.0) (/ (* y y) 1.0))
15.0ms	(+ (* x (log y)) (* (- (log 1.0) (* y 1.0)) z))
12.0ms	(* x (log y))
15.0ms	(* (- (* (/ 1/2 1.0) (/ (* y y) 1.0))) z)

series641.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (/ 1/2 1.0) (/ (* y y) 1.0))
84.0ms	(+ (* x (log y)) (* (- (log 1.0) (* y 1.0)) z))
61.0ms	(* x (log y))
448.0ms	(* (- (* (/ 1/2 1.0) (/ (* y y) 1.0))) z)

simplify1.9s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	3781
1	703
0	238

prune946.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (log (sqrt y)) x) (+ (* z (- (log 1.0) (* y 1.0))) (* (log (sqrt y)) x)))
0.3b	(* (log (sqrt y)) x)
0.3b	(* (log (sqrt y)) x)
7.4b	(* (- (* (/ 1/2 1.0) (/ (* y y) 1.0))) z)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

23.0ms	(+ (* (log (sqrt y)) x) (+ (* z (- (log 1.0) (* y 1.0))) (* (log (sqrt y)) x)))
8.0ms	(* (log (sqrt y)) x)
8.0ms	(* (log (sqrt y)) x)
9.0ms	(* (- (* (/ 1/2 1.0) (/ (* y y) 1.0))) z)

series605.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(+ (* (log (sqrt y)) x) (+ (* z (- (log 1.0) (* y 1.0))) (* (log (sqrt y)) x)))
197.0ms	(* (log (sqrt y)) x)
199.0ms	(* (log (sqrt y)) x)
30.0ms	(* (- (* (/ 1/2 1.0) (/ (* y y) 1.0))) z)

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1796
1	397
0	145

prune739.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes405.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	56
3	56
2	52
1	41
0	26

end0.0ms

sample7.2s

Algorithm

intervals

Results

3.4s	24342×	body	80	nan
609.0ms	5527×	body	80	valid
593.0ms	905×	body	640	valid
427.0ms	429×	body	1280	valid
261.0ms	728×	body	320	valid
85.0ms	436×	body	160	valid