Details

sample100.0ms

Algorithm

intervals

Results

50.0ms	72×	body	1280	valid
18.0ms	49×	body	640	valid
8.0ms	100×	body	80	nan
7.0ms	36×	body	320	valid
3.0ms	83×	body	80	valid
2.0ms	16×	body	160	valid

simplify1.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.8b

localize10.0ms

Local error

Found 1 expressions with local error:

4.8b	(log (+ x 1.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

7.0ms

(log (+ x 1.0))

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

(log (+ x 1.0))

simplify863.0ms

Counts

18 → 18

Iterations

Iter	Nodes
done	5001
3	1359
2	384
1	123
0	59

prune118.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ (* x x) 1.0) (/ -1/2 1.0)) (+ (log 1.0) (* x 1.0)))
0.0b	(* (/ (* x x) 1.0) (/ -1/2 1.0))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
21×	`add-sqr-sqrt`
16×	`times-frac`
13×	`associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`frac-add` `add-log-exp`
4×	`pow1` `flip3-+` `flip-+` `unswap-sqr`
3×	`frac-times` `sum-log` `associate-l/` `associate-r/`
2×	`div-inv`
1×	`+-commutative` `associate-+r+` `pow-prod-down` `*-commutative`

Counts

2 → 67

Calls

2 calls:

52.0ms	(+ (* (/ (* x x) 1.0) (/ -1/2 1.0)) (+ (log 1.0) (* x 1.0)))
50.0ms	(* (/ (* x x) 1.0) (/ -1/2 1.0))

series79.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* (/ (* x x) 1.0) (/ -1/2 1.0)) (+ (log 1.0) (* x 1.0)))
34.0ms	(* (/ (* x x) 1.0) (/ -1/2 1.0))

simplify2.6s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	4274
1	589
0	166

prune270.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (pow (log (+ 1.0 x)) 3))
0.2b	(pow (log (+ 1.0 x)) 3)
4.8b	(log (+ 1.0 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
8×	`unpow-prod-down` `cube-prod`
5×	`add-exp-log` `log-pow`
4×	`log-prod` `add-cbrt-cube`
3×	`pow-unpow` `add-log-exp`
2×	`cube-mult` `log-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

3 → 63

Calls

3 calls:

2.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
3.0ms	(pow (log (+ 1.0 x)) 3)
4.0ms	(log (+ 1.0 x))

series254.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
147.0ms	(pow (log (+ 1.0 x)) 3)
58.0ms	(log (+ 1.0 x))

simplify1.4s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	2204
1	448
0	158

prune204.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (- x 1.0))
0.3b	(- (log (+ (pow x 3) (pow 1.0 3))) (log (+ (* 1.0 1.0) (* x (- x 1.0)))))
14.5b	(log (+ (pow x 3) (pow 1.0 3)))
15.3b	(log (+ (* 1.0 1.0) (* x (- x 1.0))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
24×	`log-prod`
16×	`add-sqr-sqrt`
12×	`pow1`
10×	`add-cube-cbrt` `distribute-lft-out`
9×	`associate--l+`
8×	`log-div` `unpow-prod-down` `cube-prod` `add-exp-log`
6×	`add-cbrt-cube` `log-pow`
5×	`associate-r` `distribute-lft-out--`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`sub-neg` `associate-l` `associate--r+`
2×	`associate--l-` `distribute-rgt-in` `distribute-lft-in` `flip3--` `rem-log-exp` `associate-*r/` `sum-cubes` `flip--` `associate--r-` `difference-of-squares`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

33.0ms	(* x (- x 1.0))
50.0ms	(- (log (+ (pow x 3) (pow 1.0 3))) (log (+ (* 1.0 1.0) (* x (- x 1.0)))))
19.0ms	(log (+ (pow x 3) (pow 1.0 3)))
9.0ms	(log (+ (* 1.0 1.0) (* x (- x 1.0))))

series805.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* x (- x 1.0))
211.0ms	(- (log (+ (pow x 3) (pow 1.0 3))) (log (+ (* 1.0 1.0) (* x (- x 1.0)))))
413.0ms	(log (+ (pow x 3) (pow 1.0 3)))
108.0ms	(log (+ (* 1.0 1.0) (* x (- x 1.0))))

simplify1.5s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2115
1	496
0	202

prune544.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes81.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.6b

bsearch59.0ms

Steps

Iters	Range		Point
7	7.46228068957284e-06	0.00104763160503943	8.734655660045007e-05

simplify7.0ms

Iterations

Iter	Nodes
done	39
1	39
0	29

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.4s	2149×	body	1280	valid
548.0ms	1678×	body	640	valid
191.0ms	884×	body	320	valid
157.0ms	2860×	body	80	valid
94.0ms	2622×	body	80	nan
91.0ms	429×	body	160	valid