Details

sample68.0ms

Algorithm

intervals

Results

18.0ms	299×	body	80	valid
15.0ms	305×	body	80	nan

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite238.0ms

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:

42.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
58.0ms	(+ (- 1.0 z) (log z))
134.0ms	(* y (+ (- 1.0 z) (log z)))

series552.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
327.0ms	(+ (- 1.0 z) (log z))
140.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.0s

Counts

70 → 70

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	132	839
1	376	780
2	1790	706
done	5000	704

prune292.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* (log z) y)))
0.1b	(+ (* y (- 1.0 z)) (* (log z) y))
0.3b	(* (log z) y)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

49.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* (log z) y)))
15.0ms	(+ (* y (- 1.0 z)) (* (log z) y))
8.0ms	(* (log z) y)

series368.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* (log z) y)))
174.0ms	(+ (* y (- 1.0 z)) (* (log z) y))
95.0ms	(* (log z) y)

simplify960.0ms

Counts

56 → 56

Iterations

Useful iterations: done (957.0ms)

Iter	Nodes	Cost
0	117	776
1	336	693
2	1417	587
done	5001	582

prune260.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

37.0ms	(* (cbrt (* (log z) y)) (cbrt (* (log z) y)))
6.0ms	(cbrt (* (log z) y))
4.0ms	(cbrt (* (log z) y))
4.0ms	(cbrt (* (log z) y))

series619.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (* (log z) y)) (cbrt (* (log z) y)))
151.0ms	(cbrt (* (log z) y))
150.0ms	(cbrt (* (log z) y))
158.0ms	(cbrt (* (log z) y))

simplify1.0s

Counts

70 → 70

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	89	764
1	217	684
2	854	597
done	5000	538

prune410.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`log-pow`

Counts

4 → 43

Calls

4 calls:

2.0ms	(cbrt (log z))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(cbrt (* (log z) y))

series997.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt (log z))
240.0ms	(cbrt y)
305.0ms	(cbrt y)
157.0ms	(cbrt (* (log z) y))

simplify3.2s

Counts

55 → 55

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	74	328
1	141	311
2	399	275
3	2174	246
done	5001	241

prune316.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes347.0ms

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

sample2.4s

Algorithm

intervals

Results

809.0ms	9167×	body	80	valid
698.0ms	9465×	body	80	nan