Details

sample95.0ms

Algorithm

intervals

Results

26.0ms	296×	body	80	valid
22.0ms	295×	body	80	nan

simplify3.2s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 2 expressions with local error:

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

rewrite220.0ms

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:

46.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
171.0ms	(* y (+ (- 1.0 z) (log z)))

series267.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
146.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.2s

Counts

45 → 45

Iterations

Useful iterations: done (1.2s)

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

prune313.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

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:

50.0ms	(* (- 1.0 z) y)
63.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* y (log z))))
42.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
17.0ms	(* y (log z))

series397.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (- 1.0 z) y)
106.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* y (log z))))
167.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
70.0ms	(* y (log z))

simplify1.5s

Counts

89 → 89

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	165	1062
1	443	964
2	1801	877
done	5001	863

prune631.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

18.0ms	(+ (* 0.5 x) (* y (+ (log z) (- 1.0 z))))
114.0ms	(* y (+ (log z) (- 1.0 z)))

series225.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(+ (* 0.5 x) (* y (+ (log z) (- 1.0 z))))
129.0ms	(* y (+ (log z) (- 1.0 z)))

simplify774.0ms

Counts

45 → 45

Iterations

Useful iterations: 2 (208.0ms)

Iter	Nodes	Cost
0	101	619
1	311	568
2	1252	512
done	5001	512

prune260.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log (cbrt z)))
0.3b	(+ (* (* 2 (log (cbrt z))) y) (* y (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

20.0ms	(* y (log (cbrt z)))
51.0ms	(+ (* (* 2 (log (cbrt z))) y) (* y (log (cbrt z))))
2.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

162.0ms	(* y (log (cbrt z)))
238.0ms	(+ (* (* 2 (log (cbrt z))) y) (* y (log (cbrt z))))
314.0ms	(cbrt z)
295.0ms	(cbrt z)

simplify1.3s

Counts

89 → 89

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	119	909
1	293	849
2	1179	718
done	5000	674

prune680.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes485.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.8s

Algorithm

intervals

Results

949.0ms	9105×	body	80	nan
841.0ms	9220×	body	80	valid