Details

sample158.0ms

Algorithm

intervals

Results

36.0ms	61×	body	1280	valid
34.0ms	62×	body	10240	exit
24.0ms	91×	body	80	nan
16.0ms	47×	body	640	valid
8.0ms	110×	body	80	valid
5.0ms	3×	body	2560	valid
5.0ms	23×	body	320	valid
2.0ms	10×	body	640	nan
2.0ms	12×	body	160	valid
1.0ms	8×	body	320	nan
1.0ms	3×	body	1280	nan
0.0ms	2×	body	160	nan

simplify189.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.8b

localize12.0ms

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))))

rewrite125.0ms

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:

11.0ms	(* y (exp z))
54.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
38.0ms	(+ (- 1.0 y) (* y (exp z)))
19.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (exp z))
174.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
38.0ms	(+ (- 1.0 y) (* y (exp z)))
83.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify45.0ms

Counts: 92 → 92

prune297.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 5.5b

localize15.0ms

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)

rewrite106.0ms

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:

21.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
12.0ms	(* 0.5 (pow z 2))
29.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
41.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series398.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
27.0ms	(* 0.5 (pow z 2))
96.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
138.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify55.0ms

Counts: 105 → 105

prune338.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.4b

localize11.0ms

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)

rewrite69.0ms

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:

58.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
10.0ms	(/ (* z y) t)

series112.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
21.0ms	(/ (* z y) t)

simplify75.0ms

Counts: 43 → 43

prune147.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.0b

localize14.0ms

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))

rewrite121.0ms

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:

95.0ms	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
15.0ms	(/ 1 (/ t (* z y)))
8.0ms	(/ t (* z y))

series183.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
24.0ms	(/ 1 (/ t (* z y)))
23.0ms	(/ t (* z y))

simplify39.0ms

Counts: 102 → 102

prune195.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.0b

regimes457.0ms

Accuracy

63.7% (4.9b remaining)

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

bsearch1.0ms

simplify1.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.5s	1588×	body	10240	exit
997.0ms	1411×	body	1280	valid
980.0ms	1578×	body	640	valid
254.0ms	3534×	body	80	valid
206.0ms	946×	body	320	valid
126.0ms	263×	body	640	nan
118.0ms	2562×	body	80	nan
98.0ms	71×	body	2560	valid
74.0ms	118×	body	1280	nan
70.0ms	485×	body	160	valid
31.0ms	191×	body	320	nan
11.0ms	111×	body	160	nan