Details

sample180.0ms

Algorithm

intervals

Results

83.0ms	784×	body	80	nan
17.0ms	185×	body	80	valid
16.0ms	33×	body	640	valid
7.0ms	7×	body	1280	valid
6.0ms	21×	body	320	valid
2.0ms	13×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	425
1	26	425
2	49	425
3	117	425
4	339	425
5	1312	425
6	4312	425
done	5000	425

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b	(* (- x 1.0) (log y))
6.8b	(log (- 1.0 y))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

83.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
18.0ms	(* (- x 1.0) (log y))
4.0ms	(log (- 1.0 y))

series330.0ms

Counts

3 → 9

Calls

3 calls:

211.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
72.0ms	(* (- x 1.0) (log y))
46.0ms	(log (- 1.0 y))

simplify1.3s

Counts

70 → 70

Iterations

Useful iterations: 2 (461.0ms)

Iter	Nodes	Cost
0	179	24467
1	400	22017
2	1495	21491
done	5000	21491

prune568.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite323.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate--l+`
28×	`flip3--` `flip--`
26×	`add-sqr-sqrt`
24×	`log-prod` `associate-*l/`
22×	`*-un-lft-identity`
20×	`distribute-rgt-in` `distribute-lft-in`
16×	`frac-add` `add-cube-cbrt`
14×	`associate-+r+`
12×	`frac-times`
11×	`add-log-exp`
10×	`associate-l`
9×	`pow1` `sub-neg`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-r`
6×	`associate-+l+` `associate-*r/`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`sum-log` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `log-pow` `flip-+`

Counts

4 → 134

Calls

4 calls:

122.0ms	(* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))
67.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y))))
109.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))) t)
20.0ms	(* (- x 1.0) (log y))

series694.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))
199.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y))))
317.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))) t)
85.0ms	(* (- x 1.0) (log y))

simplify4.1s

Counts

146 → 146

Iterations

Useful iterations: 2 (1.9s)

Iter	Nodes	Cost
0	325	101156
1	933	89275
2	4859	88505
done	5000	88505

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

9.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

316.0ms	(* (cbrt y) (cbrt y))
288.0ms	(cbrt y)
275.0ms	(cbrt y)
251.0ms	(cbrt y)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	61	17134
1	138	14621
2	727	14346
done	5000	13666

prune896.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (pow y 2/3)))
0.2b	(+ (* (- x 1.0) (log (pow y 2/3))) (+ (* (- x 1.0) (log (cbrt y))) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))))
0.7b	(cbrt y)
6.0b	(pow y 2/3)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

78×	`associate-*l/`
68×	`frac-add`
59×	`flip3--` `flip--`
28×	`log-prod`
21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`frac-times`
15×	`unpow-prod-down`
14×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
9×	`add-log-exp`
8×	`associate-*r/`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
5×	`associate-l` `sqr-pow`
4×	`associate-r`
3×	`cbrt-prod` `pow-unpow` `sum-log` `flip3-+` `flip-+`
1×	`pow-to-exp` `+-commutative` `associate-+r+` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

19.0ms	(* (- x 1.0) (log (pow y 2/3)))
74.0ms	(+ (* (- x 1.0) (log (pow y 2/3))) (+ (* (- x 1.0) (log (cbrt y))) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))))
1.0ms	(cbrt y)
2.0ms	(pow y 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (- x 1.0) (log (pow y 2/3)))
384.0ms	(+ (* (- x 1.0) (log (pow y 2/3))) (+ (* (- x 1.0) (log (cbrt y))) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))))
255.0ms	(cbrt y)
290.0ms	(pow y 2/3)

simplify4.3s

Counts

140 → 140

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	466	167000
1	1671	119113
done	5000	117622

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes831.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	25	896
1	32	896
done	32	896

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.8s	23912×	body	80	nan
978.0ms	5835×	body	80	valid
377.0ms	790×	body	640	valid
235.0ms	704×	body	320	valid
229.0ms	259×	body	1280	valid
147.0ms	451×	body	160	valid