Details

sample34.0ms

Algorithm

intervals

Results

13.0ms	134×	pre	10240	exit
5.0ms	256×	body	80	valid
2.0ms	122×	pre	80	true

simplify16.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
6.9b	(- (/ x0 (- 1.0 x1)) x0)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

12.0ms	(/ x0 (- 1.0 x1))
84.0ms	(- (/ x0 (- 1.0 x1)) x0)

series96.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ x0 (- 1.0 x1))
59.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.0s

Counts: 58 → 58

prune119.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
5.9b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
24×	`add-cube-cbrt`
10×	`associate-/r*`
9×	`difference-of-squares`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 99

Calls

4 calls:

17.0ms	(/ x0 (- 1.0 x1))
17.0ms	(/ x0 (- 1.0 x1))
67.0ms	(+ (/ x0 (- 1.0 x1)) x0)
34.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series257.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ x0 (- 1.0 x1))
53.0ms	(/ x0 (- 1.0 x1))
55.0ms	(+ (/ x0 (- 1.0 x1)) x0)
99.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify652.0ms

Counts: 111 → 111

prune281.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
5.9b	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

18.0ms	(/ x0 (- 1.0 x1))
18.0ms	(/ x0 (- 1.0 x1))
67.0ms	(+ (/ x0 (- 1.0 x1)) x0)
83.0ms	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

series236.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ x0 (- 1.0 x1))
46.0ms	(/ x0 (- 1.0 x1))
56.0ms	(+ (/ x0 (- 1.0 x1)) x0)
85.0ms	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

simplify631.0ms

Counts: 110 → 110

prune301.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
0.8b	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
0.8b	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
5.9b	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 54

Calls

4 calls:

27.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
29.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
27.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
67.0ms	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

series550.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
140.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
165.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
94.0ms	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

simplify501.0ms

Counts: 66 → 66

prune199.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.3b

regimes66.0ms

Accuracy

-73.4% (1.6b remaining)

Error of 6.4b against oracle of 4.8b and baseline of 5.7b

bsearch0.0ms

simplify467.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

561.0ms	3939×	pre	10240	exit
530.0ms	8000×	body	80	valid
78.0ms	4061×	pre	80	true