Details

sample39.0ms

Algorithm

intervals

Results

19.0ms	129×	pre	10240	exit
5.0ms	256×	body	80	valid
2.0ms	127×	pre	80	true

simplify15.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

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:

11.0ms	(/ x0 (- 1.0 x1))
83.0ms	(- (/ x0 (- 1.0 x1)) x0)

series93.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ x0 (- 1.0 x1))
47.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.1s

Counts: 58 → 58

prune135.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.8b

localize23.0ms

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))

rewrite119.0ms

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)
49.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series254.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ x0 (- 1.0 x1))
52.0ms	(/ x0 (- 1.0 x1))
41.0ms	(+ (/ x0 (- 1.0 x1)) x0)
113.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify606.0ms

Counts: 111 → 111

prune314.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize27.0ms

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))

rewrite226.0ms

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))
69.0ms	(+ (/ x0 (- 1.0 x1)) x0)
99.0ms	(log (exp (- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
36.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series318.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ x0 (- 1.0 x1))
57.0ms	(+ (/ x0 (- 1.0 x1)) x0)
115.0ms	(log (exp (- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
85.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify647.0ms

Counts: 93 → 93

prune263.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 4.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
0.8b	(/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1)))
6.1b	(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

16.0ms	(/ x0 (- 1.0 x1))
65.0ms	(+ (/ x0 (- 1.0 x1)) x0)
20.0ms	(/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1)))
143.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

series395.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ x0 (- 1.0 x1))
47.0ms	(+ (/ x0 (- 1.0 x1)) x0)
182.0ms	(/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1)))
123.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

simplify1.1s

Counts: 106 → 106

prune351.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 3.9b

regimes77.0ms

Accuracy

70.4% (0.7b remaining)

Error of 4.7b against oracle of 4.0b and baseline of 6.3b

bsearch34.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.00021208908081054686

simplify581.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

544.0ms	4013×	pre	10240	exit
278.0ms	8000×	body	80	valid
78.0ms	3987×	pre	80	true