Details

sample142.0ms

Algorithm

intervals

Results

50.0ms	843×	body	80	nan
14.0ms	28×	body	640	valid
13.0ms	191×	body	80	valid
6.0ms	7×	body	1280	valid
5.0ms	22×	body	320	valid
1.0ms	8×	body	160	valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	26	17
2	49	17
3	116	17
4	241	17
5	506	17
6	1039	17
7	1619	17
8	2053	17
9	2158	17
done	2158	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
6.3b	(log (- 1.0 y))

rewrite93.0ms

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:

40.0ms	(* (- z 1.0) (log (- 1.0 y)))
41.0ms	(* (- x 1.0) (log y))
8.0ms	(log (- 1.0 y))

series194.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* (- z 1.0) (log (- 1.0 y)))
89.0ms	(* (- x 1.0) (log y))
45.0ms	(log (- 1.0 y))

simplify2.3s

Counts

87 → 87

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	191	1019
1	391	985
2	1178	867
3	3519	854
done	5001	853

prune354.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 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))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
56×	`unpow-prod-down`
52×	`*-un-lft-identity`
45×	`add-cube-cbrt`
30×	`add-exp-log`
24×	`unpow2` `sqr-pow`
19×	`unswap-sqr`
13×	`associate-l`
12×	`log-prod` `prod-exp` `add-cbrt-cube`
11×	`pow1`
9×	`div-exp`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`flip3--` `flip--`
6×	`pow-to-exp` `pow-exp` `associate--l+`
4×	`frac-times` `associate-*l/` `cbrt-unprod` `distribute-lft-out--`
3×	`associate-r/` `pow-prod-down` `-commutative` `add-log-exp` `difference-of-squares`
2×	`sub-neg` `log-pow`
1×	`cbrt-undiv` `div-inv`

Counts

3 → 180

Calls

3 calls:

64.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
126.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
27.0ms	(* (- x 1.0) (log y))

series257.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
103.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
78.0ms	(* (- x 1.0) (log y))

simplify1.9s

Counts

189 → 189

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	395	3102
1	894	2850
2	2732	2457
done	5001	2443

prune980.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 2 (log (cbrt y))) (- x 1.0))
0.3b	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

36.0ms	(* (* 2 (log (cbrt y))) (- x 1.0))
48.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (* 2 (log (cbrt y))) (- x 1.0))
380.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
228.0ms	(cbrt y)
211.0ms	(cbrt y)

simplify1.7s

Counts

84 → 84

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	154	1272
1	454	1086
2	1858	896
done	5002	864

prune755.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 2 (log (cbrt y))) (- x 1.0))
0.3b	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (pow (/ 1 y) -1/3)) (- x 1.0)))
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-exp-log` `add-cube-cbrt`
13×	`unpow-prod-down`
11×	`pow1`
10×	`associate-*r/`
9×	`times-frac` `add-cbrt-cube`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `add-log-exp`
5×	`flip3--` `associate-r` `flip--`
4×	`associate-+l+` `associate-+r+` `frac-add` `pow-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `distribute-rgt-out` `pow-flip` `flip3-+` `pow1/3` `1-exp` `associate-l` `sum-log` `*-commutative` `flip-+` `div-inv` `distribute-lft-out--` `inv-pow` `difference-of-squares` `sqr-pow`

Counts

4 → 93

Calls

4 calls:

43.0ms	(* (* 2 (log (cbrt y))) (- x 1.0))
53.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (pow (/ 1 y) -1/3)) (- x 1.0)))
2.0ms	(cbrt y)
15.0ms	(pow (/ 1 y) -1/3)

series1.6s

Counts

4 → 12

Calls

4 calls:

262.0ms	(* (* 2 (log (cbrt y))) (- x 1.0))
732.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (pow (/ 1 y) -1/3)) (- x 1.0)))
266.0ms	(cbrt y)
292.0ms	(pow (/ 1 y) -1/3)

simplify1.6s

Counts

105 → 105

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	237	1657
1	639	1425
2	2336	1142
done	5001	1090

prune626.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes364.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	36	52
1	48	52
done	48	52

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.0s	24189×	body	80	nan
863.0ms	5875×	body	80	valid
382.0ms	794×	body	640	valid
228.0ms	238×	body	1280	valid
194.0ms	686×	body	320	valid
77.0ms	438×	body	160	valid