Details

sample55.0ms

Algorithm

intervals

Results

22.0ms	121×	pre	10240	exit
10.0ms	256×	body	80	valid
4.0ms	135×	pre	80	true

simplify26.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
7.2b	(- (/ x0 (- 1.0 x1)) x0)

rewrite102.0ms

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:

21.0ms	(/ x0 (- 1.0 x1))
78.0ms	(- (/ x0 (- 1.0 x1)) x0)

series116.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ x0 (- 1.0 x1))
73.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.1s

Counts: 58 → 58

prune130.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.7b

localize17.0ms

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)
6.1b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite101.0ms

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:

12.0ms	(/ x0 (- 1.0 x1))
12.0ms	(/ x0 (- 1.0 x1))
46.0ms	(+ (/ x0 (- 1.0 x1)) x0)
28.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series222.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ x0 (- 1.0 x1))
41.0ms	(/ x0 (- 1.0 x1))
40.0ms	(+ (/ x0 (- 1.0 x1)) x0)
101.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify534.0ms

Counts: 111 → 111

prune257.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize33.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
3.7b	(log (exp (- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
6.1b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
5×	`pow1` `log-prod` `associate-/r*` `log-pow`
4×	`exp-prod` `distribute-lft-out--`
3×	`associate-/l*`
2×	`sub-neg` `flip3--` `exp-sum` `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 → 81

Calls

4 calls:

18.0ms	(/ x0 (- 1.0 x1))
66.0ms	(+ (/ x0 (- 1.0 x1)) x0)
102.0ms	(log (exp (- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
38.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series308.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ x0 (- 1.0 x1))
54.0ms	(+ (/ x0 (- 1.0 x1)) x0)
92.0ms	(log (exp (- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
111.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify599.0ms

Counts: 93 → 93

prune247.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 4.7b

localize20.0ms

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)
6.1b	(- (* (/ x0 (- 1.0 x1)) (* (/ (sqrt x0) (sqrt (- 1.0 x1))) (/ (sqrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

rewrite207.0ms

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))
59.0ms	(+ (/ x0 (- 1.0 x1)) x0)
106.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ (sqrt x0) (sqrt (- 1.0 x1))) (/ (sqrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

series303.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ x0 (- 1.0 x1))
51.0ms	(/ x0 (- 1.0 x1))
57.0ms	(+ (/ x0 (- 1.0 x1)) x0)
139.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ (sqrt x0) (sqrt (- 1.0 x1))) (/ (sqrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

simplify636.0ms

Counts: 110 → 110

prune328.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 3.9b

regimes59.0ms

Accuracy

-68.6% (3.9b remaining)

Error of 7.9b against oracle of 4.0b and baseline of 6.3b

bsearch31.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.00021208908081054686

simplify1.0s

end0.0ms

sample1.4s

Algorithm

intervals

Results

825.0ms	3970×	pre	10240	exit
254.0ms	8000×	body	80	valid
88.0ms	4030×	pre	80	true