Details

sample171.0ms

Algorithm

intervals

Results

57.0ms	818×	body	80	nan
21.0ms	15×	body	320	valid
15.0ms	201×	body	80	valid
7.0ms	18×	body	640	valid
7.0ms	8×	body	1280	valid
2.0ms	14×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	26	17
2	49	17
3	117	17
4	346	17
5	1391	17
6	4731	17
done	5000	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.2b	(* (- x 1.0) (log y))
4.2b	(log (- 1.0 y))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-*l/`
11×	`pow1`
10×	`associate-+r+` `associate-l`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
7×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`associate-+l+` `add-log-exp`
4×	`frac-add`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 109

Calls

4 calls:

59.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
36.0ms	(* (- z 1.0) (log (- 1.0 y)))
33.0ms	(* (- x 1.0) (log y))
11.0ms	(log (- 1.0 y))

series443.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
79.0ms	(* (- z 1.0) (log (- 1.0 y)))
86.0ms	(* (- x 1.0) (log y))
75.0ms	(log (- 1.0 y))

simplify1.7s

Counts

121 → 121

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	253	1844
1	654	1748
2	2967	1592
done	5000	1584

prune551.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

27×	`flip3--` `flip--`
25×	`add-sqr-sqrt`
24×	`log-prod` `associate-*l/`
22×	`*-un-lft-identity`
16×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
15×	`add-cube-cbrt`
12×	`frac-times` `associate--l+`
10×	`associate-+r+` `associate-r` `associate-l`
9×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+l+` `associate-*r/`
5×	`add-log-exp`
4×	`sub-neg` `distribute-lft-out--`
3×	`difference-of-squares`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 113

Calls

3 calls:

42.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
89.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
24.0ms	(* (- x 1.0) (log y))

series407.0ms

Counts

3 → 9

Calls

3 calls:

244.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
74.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
87.0ms	(* (- x 1.0) (log y))

simplify462.0ms

Counts

122 → 122

Iterations

Useful iterations: done (456.0ms)

Iter	Nodes	Cost
0	293	4405
1	870	4046
done	5000	3902

prune741.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

36.0ms	(* (- x 1.0) (log (cbrt y)))
61.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series969.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (- x 1.0) (log (cbrt y)))
383.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
213.0ms	(cbrt y)
239.0ms	(cbrt y)

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	173	1509
1	483	1390
2	2399	1185
done	5000	1177

prune758.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

443.0ms	(cbrt (cbrt y))
261.0ms	(cbrt y)
243.0ms	(cbrt y)
266.0ms	(cbrt y)

simplify1.7s

Counts

59 → 59

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	42	303
1	78	286
2	189	260
3	650	248
4	2535	248
done	5002	248

prune574.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes458.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	52
1	43	52
done	43	52

end0.0ms

sample7.3s

Algorithm

intervals

Results

3.3s	25077×	body	80	nan
812.0ms	755×	body	640	valid
693.0ms	5923×	body	80	valid
267.0ms	244×	body	1280	valid
238.0ms	672×	body	320	valid
89.0ms	430×	body	160	valid