Details

sample103.0ms

Algorithm

intervals

Results

40.0ms	306×	body	80	valid
20.0ms	292×	body	80	nan

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	51	12
3	108	12
4	322	12
5	921	12
6	2246	12
7	3825	12
done	5001	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

41.0ms	(+ (- 1.0 z) (log z))
24.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
141.0ms	(* y (+ (- 1.0 z) (log z)))

series405.0ms

Counts

3 → 9

Calls

3 calls:

240.0ms	(+ (- 1.0 z) (log z))
77.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
88.0ms	(* y (+ (- 1.0 z) (log z)))

simplify874.0ms

Counts

70 → 70

Iterations

Useful iterations: done (871.0ms)

Iter	Nodes	Cost
0	132	839
1	376	780
2	1787	706
done	5002	704

prune208.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

17.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series998.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt y) (cbrt y))
248.0ms	(cbrt y)
257.0ms	(cbrt y)
225.0ms	(cbrt y)

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune260.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) (- 1.0 z))
0.5b	(* (log z) (log z))
6.5b	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
7.8b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
30×	`pow1`
18×	`add-cube-cbrt` `distribute-lft-out--`
15×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
13×	`swap-sqr` `associate-r`
12×	`associate-l`
10×	`log-pow`
9×	`flip3--` `flip--`
8×	`sub-neg` `times-frac` `associate--l+` `associate-/r*`
7×	`difference-of-squares`
6×	`log-prod` `associate-*r/`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `unswap-sqr`
2×	`cbrt-undiv` `pow2` `pow-plus` `div-exp` `associate-*l/` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 149

Calls

4 calls:

36.0ms	(* (- 1.0 z) (- 1.0 z))
10.0ms	(* (log z) (log z))
121.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
140.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series617.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- 1.0 z) (- 1.0 z))
220.0ms	(* (log z) (log z))
103.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
261.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify533.0ms

Counts

161 → 161

Iterations

Useful iterations: done (526.0ms)

Iter	Nodes	Cost
0	277	2779
1	856	2483
done	5000	2216

prune590.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
6.5b	(* y (- (* (- 1.0 z) (- 1.0 z)) (+ (* (log z) (* 2 (log (cbrt z)))) (* (log z) (log (cbrt z))))))
7.8b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (+ (* (log z) (* 2 (log (cbrt z)))) (* (log z) (log (cbrt z)))))) (- (- 1.0 z) (log z)))

rewrite520.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*r/`
32×	`frac-sub`
27×	`flip3--` `flip--`
26×	`*-un-lft-identity`
18×	`associate-/l/`
17×	`add-sqr-sqrt`
16×	`frac-times` `flip3-+` `flip-+`
12×	`distribute-lft-out--`
11×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
8×	`times-frac` `associate-l/` `associate--l+` `associate-/r`
6×	`cbrt-prod` `sub-neg`
4×	`associate-r` `log-pow` `add-log-exp`
3×	`associate-l` `difference-of-squares`
2×	`cbrt-undiv` `pow1/3` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
325.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (+ (* (log z) (* 2 (log (cbrt z)))) (* (log z) (log (cbrt z))))))
180.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (+ (* (log z) (* 2 (log (cbrt z)))) (* (log z) (log (cbrt z)))))) (- (- 1.0 z) (log z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

311.0ms	(cbrt z)
336.0ms	(cbrt z)
187.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (+ (* (log z) (* 2 (log (cbrt z)))) (* (log z) (log (cbrt z))))))
291.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (+ (* (log z) (* 2 (log (cbrt z)))) (* (log z) (log (cbrt z)))))) (- (- 1.0 z) (log z)))

simplify767.0ms

Counts

134 → 134

Iterations

Useful iterations: done (759.0ms)

Iter	Nodes	Cost
0	365	5144
1	1222	4555
done	5001	4227

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes336.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	15	12
done	15	12

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	9159×	body	80	valid
622.0ms	9112×	body	80	nan