Details

sample219.0ms

Algorithm

intervals

Results

82.0ms	849×	body	80	nan
19.0ms	174×	body	80	valid
18.0ms	16×	body	1280	valid
18.0ms	31×	body	640	valid
8.0ms	21×	body	320	valid
3.0ms	15×	body	160	valid

simplify746.0ms

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: 8.1b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.2b	(* x (log y))
4.7b	(log (- 1.0 y))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

54.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms	(* x (log y))
7.0ms	(log (- 1.0 y))

series317.0ms

Counts

3 → 9

Calls

3 calls:

177.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
77.0ms	(* x (log y))
63.0ms	(log (- 1.0 y))

simplify2.6s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
3	4859
2	1041
1	345
0	160

prune505.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-cbrt-cube` `add-exp-log`
18×	`add-sqr-sqrt`
14×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`log-prod` `associate-*l/`
11×	`prod-exp` `associate-*r/` `cbrt-unprod`
10×	`associate-r`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-l`
6×	`associate-+l+` `frac-add` `add-log-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `div-exp`
3×	`frac-times` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`associate-+r+` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log` `log-pow`

Counts

4 → 100

Calls

4 calls:

206.0ms	(* z (+ (* (* (/ y 1.0) (/ y 1.0)) -1/2) (- (log 1.0) (* y 1.0))))
52.0ms	(* (* (/ y 1.0) (/ y 1.0)) -1/2)
17.0ms	(+ (* x (log y)) (* z (+ (* (* (/ y 1.0) (/ y 1.0)) -1/2) (- (log 1.0) (* y 1.0)))))
9.0ms	(* x (log y))

series399.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* z (+ (* (* (/ y 1.0) (/ y 1.0)) -1/2) (- (log 1.0) (* y 1.0))))
48.0ms	(* (* (/ y 1.0) (/ y 1.0)) -1/2)
151.0ms	(+ (* x (log y)) (* z (+ (* (* (/ y 1.0) (/ y 1.0)) -1/2) (- (log 1.0) (* y 1.0)))))
63.0ms	(* x (log y))

simplify2.3s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	3763
1	716
0	228

prune880.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
12×	`associate-+r+` `log-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`sum-log` `pow1/3`
2×	`distribute-lft-out`
1×	`+-commutative` `associate-+l+` `distribute-lft1-in` `flip3-+` `count-2` `flip-+`

Counts

4 → 60

Calls

4 calls:

40.0ms	(+ (+ (* x (log (cbrt y))) (* x (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

211.0ms	(+ (+ (* x (log (cbrt y))) (* x (log (cbrt y)))) (* x (log (cbrt y))))
309.0ms	(cbrt y)
330.0ms	(cbrt y)
340.0ms	(cbrt y)

simplify1.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1043
1	258
0	94

prune690.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* x (log (cbrt y))) (* x (log (cbrt y)))) (* x (log (pow y 1/3))))
0.7b	(cbrt y)
0.7b	(cbrt y)
5.2b	(pow y 1/3)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-+r+` `log-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`unpow-prod-down` `add-log-exp`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`pow-unpow` `sum-log` `sqr-pow`
2×	`pow1/3` `distribute-lft-out`
1×	`pow-to-exp` `+-commutative` `associate-+l+` `pow-pow` `flip3-+` `unpow1/3` `pow-exp` `flip-+`

Counts

4 → 68

Calls

4 calls:

44.0ms	(+ (+ (* x (log (cbrt y))) (* x (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

209.0ms	(+ (+ (* x (log (cbrt y))) (* x (log (cbrt y)))) (* x (log (pow y 1/3))))
281.0ms	(cbrt y)
315.0ms	(cbrt y)
286.0ms	(pow y 1/3)

simplify1.6s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1333
1	371
0	132

prune651.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes401.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	33
1	33
0	25

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.4s	23794×	body	80	nan
543.0ms	5478×	body	80	valid
425.0ms	914×	body	640	valid
388.0ms	418×	body	1280	valid
263.0ms	754×	body	320	valid
125.0ms	466×	body	160	valid