Details

sample238.0ms

Algorithm

intervals

Results

57.0ms	62×	body	10240	exit
57.0ms	61×	body	1280	valid
23.0ms	47×	body	640	valid
22.0ms	12×	body	160	valid
12.0ms	110×	body	80	valid
8.0ms	3×	body	2560	valid
7.0ms	23×	body	320	valid
6.0ms	91×	body	80	nan
3.0ms	10×	body	640	nan
2.0ms	8×	body	320	nan
2.0ms	3×	body	1280	nan
0.0ms	2×	body	160	nan

simplify435.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	20	13
2	33	13
3	48	13
4	66	13
5	78	13
6	100	13
7	126	13
8	150	13
9	203	13
10	284	13
11	290	13
done	290	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
0.8b	(+ (- 1.0 y) (* y (exp z)))
3.1b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

18.0ms	(* y (exp z))
109.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
44.0ms	(+ (- 1.0 y) (* y (exp z)))
34.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series455.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* y (exp z))
245.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
51.0ms	(+ (- 1.0 y) (* y (exp z)))
109.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify2.8s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	203	1436
1	451	1388
2	1238	1271
3	3810	1268
done	5000	1268

prune444.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 5.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
0.0b	(* 0.5 (pow z 2))
3.1b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
7.8b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`add-exp-log`
11×	`associate-r`
10×	`times-frac` `add-cbrt-cube`
6×	`pow1` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unpow2` `difference-of-squares` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 93

Calls

4 calls:

32.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
15.0ms	(* 0.5 (pow z 2))
27.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
43.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series575.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
43.0ms	(* 0.5 (pow z 2))
124.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
231.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify1.3s

Counts

105 → 105

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	192	1963
1	461	1850
2	1380	1711
done	5001	1545

prune532.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.4b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
6.9b	(/ (* z y) t)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `diff-log` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

114.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
20.0ms	(/ (* z y) t)

series156.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
36.0ms	(/ (* z y) t)

simplify2.6s

Counts

43 → 43

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	86	587
1	204	564
2	682	506
3	2974	506
done	5000	506

prune170.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
0.8b	(/ 1 (/ t (* z y)))
6.6b	(/ t (* z y))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
29×	`add-exp-log`
23×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
17×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*` `add-log-exp`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
4×	`pow1` `prod-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `diff-log` `clear-num` `cbrt-unprod`
1×	`sub-neg` `flip3--` `pow-flip` `sum-log` `associate-/r/` `flip--` `associate--r+` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

3 → 93

Calls

3 calls:

180.0ms	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
16.0ms	(/ 1 (/ t (* z y)))
8.0ms	(/ t (* z y))

series275.0ms

Counts

3 → 9

Calls

3 calls:

191.0ms	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
42.0ms	(/ 1 (/ t (* z y)))
41.0ms	(/ t (* z y))

simplify4.4s

Counts

102 → 102

Iterations

Useful iterations: 3 (2.6s)

Iter	Nodes	Cost
0	160	1317
1	364	1168
2	980	964
3	4644	946
done	5000	946

prune269.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.0b

regimes626.0ms

Accuracy

63.7% (4.9b remaining)

Error of 9.0b against oracle of 4.1b and baseline of 17.6b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	45
1	42	45
done	42	45

end0.0ms

sample6.8s

Algorithm

intervals

Results

1.5s	1588×	body	10240	exit
1.3s	1411×	body	1280	valid
1.2s	1578×	body	640	valid
855.0ms	3534×	body	80	valid
282.0ms	946×	body	320	valid
227.0ms	2562×	body	80	nan
129.0ms	71×	body	2560	valid
124.0ms	485×	body	160	valid
123.0ms	118×	body	1280	nan
86.0ms	263×	body	640	nan
44.0ms	191×	body	320	nan
16.0ms	111×	body	160	nan