Details

sample43.0ms

Algorithm

intervals

Results

19.0ms	132×	pre	10240	exit
6.0ms	256×	body	80	valid
2.0ms	124×	pre	80	true

simplify15.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
7.1b	(- (/ x0 (- 1.0 x1)) x0)

rewrite84.0ms

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))
69.0ms	(- (/ x0 (- 1.0 x1)) x0)

series106.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ x0 (- 1.0 x1))
50.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.1s

Counts: 58 → 58

prune90.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.7b

localize12.0ms

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)
6.0b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite96.0ms

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:

13.0ms	(/ x0 (- 1.0 x1))
11.0ms	(/ x0 (- 1.0 x1))
42.0ms	(+ (/ x0 (- 1.0 x1)) x0)
27.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series190.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ x0 (- 1.0 x1))
36.0ms	(/ x0 (- 1.0 x1))
38.0ms	(+ (/ x0 (- 1.0 x1)) x0)
78.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify626.0ms

Counts: 111 → 111

prune284.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.7b

localize27.0ms

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)
6.0b	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

rewrite145.0ms

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` `distribute-rgt-in` `distribute-lft-in` `associate--l+` `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 → 102

Calls

4 calls:

11.0ms	(/ x0 (- 1.0 x1))
11.0ms	(/ x0 (- 1.0 x1))
44.0ms	(+ (/ x0 (- 1.0 x1)) x0)
75.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

series380.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ x0 (- 1.0 x1))
38.0ms	(/ x0 (- 1.0 x1))
38.0ms	(+ (/ x0 (- 1.0 x1)) x0)
253.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

simplify770.0ms

Counts: 114 → 114

prune297.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
3.6b	(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))))
6.0b	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

rewrite443.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
9×	`log-prod`
8×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `add-log-exp`
6×	`add-exp-log` `exp-sum` `add-cbrt-cube`
5×	`pow1` `associate-/r*`
4×	`log-pow` `distribute-lft-out--` `difference-of-squares`
3×	`exp-prod` `associate-/l*`
2×	`sub-neg` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `flip3-+` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 87

Calls

4 calls:

18.0ms	(/ x0 (- 1.0 x1))
64.0ms	(+ (/ x0 (- 1.0 x1)) x0)
282.0ms	(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))))
74.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

series675.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ x0 (- 1.0 x1))
47.0ms	(+ (/ x0 (- 1.0 x1)) x0)
297.0ms	(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))))
283.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

simplify642.0ms

Counts: 99 → 99

prune278.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.8b

regimes46.0ms

Accuracy

-75.6% (1.9b remaining)

Error of 5.9b against oracle of 4.0b and baseline of 5.1b

bsearch0.0ms

simplify619.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

478.0ms	4073×	pre	10240	exit
310.0ms	8000×	body	80	valid
71.0ms	3927×	pre	80	true