Details

sample62.0ms

Algorithm

intervals

Results

17.0ms	304×	body	80	valid
14.0ms	283×	body	80	nan

simplify2.4s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

24.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
109.0ms	(* y (+ (- 1.0 z) (log z)))

series209.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
125.0ms	(* y (+ (- 1.0 z) (log z)))

simplify857.0ms

Counts

45 → 45

Iterations

Useful iterations: done (856.0ms)

Iter	Nodes	Cost
0	102	621
1	313	570
2	1381	514
done	5000	512

prune138.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* y (log z))))
0.0b	(* (- 1.0 z) y)
0.2b	(+ (* (- 1.0 z) y) (* y (log z)))
0.3b	(* y (log z))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

52.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* y (log z))))
35.0ms	(* (- 1.0 z) y)
35.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
19.0ms	(* y (log z))

series358.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* y (log z))))
40.0ms	(* (- 1.0 z) y)
146.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
71.0ms	(* y (log z))

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	165	1062
1	444	964
2	1790	877
done	5000	863

prune325.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.2b	(* y (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`cbrt-prod` `log-prod`
9×	`pow1`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`add-log-exp`
3×	`pow1/3`
2×	`pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

65.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
20.0ms	(* y (log (cbrt z)))
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series966.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
160.0ms	(* y (log (cbrt z)))
295.0ms	(cbrt z)
290.0ms	(cbrt z)

simplify872.0ms

Counts

88 → 88

Iterations

Useful iterations: done (868.0ms)

Iter	Nodes	Cost
0	132	842
1	295	814
2	1131	689
done	5000	678

prune418.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt (pow z 2/3))
5.9b	(pow z 2/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 54

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
4.0ms	(cbrt (pow z 2/3))
5.0ms	(pow z 2/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

293.0ms	(cbrt z)
253.0ms	(cbrt z)
327.0ms	(cbrt (pow z 2/3))
334.0ms	(pow z 2/3)

simplify3.7s

Counts

66 → 66

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	75	385
1	167	339
2	579	307
3	2988	293
done	5000	289

prune397.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

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

964.0ms	9185×	body	80	valid
684.0ms	9182×	body	80	nan