Details

sample106.0ms

Algorithm

intervals

Results

43.0ms	809×	body	80	nan
11.0ms	195×	body	80	valid
7.0ms	10×	body	1280	valid
4.0ms	14×	body	640	valid
4.0ms	20×	body	320	valid
2.0ms	19×	body	160	valid

simplify8.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	26	17
2	48	17
3	86	17
4	190	17
5	413	17
6	953	17
7	1992	17
8	2586	17
9	2687	17
done	2687	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
5.7b	(log (- 1.0 y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`log-prod`
12×	`add-cube-cbrt`
10×	`pow1` `associate-l`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-r`
7×	`add-cbrt-cube`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`associate-*l/`
3×	`flip3--` `log-pow` `flip--` `add-log-exp`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`rem-log-exp`

Counts

3 → 78

Calls

3 calls:

19.0ms	(* (- z 1.0) (log (- 1.0 y)))
11.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series147.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (- z 1.0) (log (- 1.0 y)))
60.0ms	(* (- x 1.0) (log y))
44.0ms	(log (- 1.0 y))

simplify1.7s

Counts

87 → 87

Iterations

Useful iterations: 3 (837.0ms)

Iter	Nodes	Cost
0	191	1019
1	391	985
2	1225	871
3	3935	854
done	5001	854

prune263.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

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))))))
0.1b	(* (- x 1.0) (log y))

rewrite64.0ms

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:

12.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
36.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
11.0ms	(* (- x 1.0) (log y))

series277.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
68.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
56.0ms	(* (- x 1.0) (log y))

simplify1.1s

Counts

122 → 122

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	293	4405
1	825	4046
2	3932	3901
done	5000	3897

prune590.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

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

rewrite29.0ms

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:

12.0ms	(* (- x 1.0) (log (cbrt y)))
13.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series786.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (- x 1.0) (log (cbrt y)))
301.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
178.0ms	(cbrt y)
180.0ms	(cbrt y)

simplify1.0s

Counts

101 → 101

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	173	1509
1	445	1370
2	1753	1115
done	5000	1111

prune563.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))

series837.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
175.0ms	(cbrt y)
252.0ms	(cbrt (cbrt y))
235.0ms	(cbrt (cbrt y))

simplify2.0s

Counts

62 → 62

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	42	346
1	75	330
2	147	302
3	306	290
4	855	290
5	3493	290
done	5001	290

prune426.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

regimes344.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	47
1	42	47
done	42	47

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	24450×	body	80	nan
326.0ms	5931×	body	80	valid
235.0ms	757×	body	640	valid
171.0ms	277×	body	1280	valid
120.0ms	642×	body	320	valid
47.0ms	412×	body	160	valid