Details

sample106.0ms

Algorithm

intervals

Results

57.0ms	69×	body	1280	valid
19.0ms	51×	body	640	valid
7.0ms	34×	body	320	valid
4.0ms	88×	body	80	valid
3.0ms	95×	body	80	nan
1.0ms	14×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.5b

localize10.0ms

Local error

Found 1 expressions with local error:

3.7b	(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))

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(log (+ x 1.0))

simplify680.0ms

Counts

18 → 18

Iterations

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

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite71.0ms

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:

35.0ms	(+ (* (/ (* x x) 1.0) (/ -1/2 1.0)) (+ (log 1.0) (* x 1.0)))
33.0ms	(* (/ (* x x) 1.0) (/ -1/2 1.0))

series84.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* (/ (* x x) 1.0) (/ -1/2 1.0)) (+ (log 1.0) (* x 1.0)))
43.0ms	(* (/ (* x x) 1.0) (/ -1/2 1.0))

simplify2.9s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	4274
1	589
0	166

prune295.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (exp (* (/ x 1.0) x)) (/ -1/2 1.0))
2.7b	(log (pow (exp (* (/ x 1.0) x)) (/ -1/2 1.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow-unpow`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`log-prod`
6×	`unpow-prod-down`
3×	`pow1` `pow-pow` `rem-log-exp` `add-exp-log` `add-log-exp`
2×	`pow-to-exp` `add-cbrt-cube` `pow-exp` `sqr-pow`
1×	`exp-prod` `exp-to-pow` `log-pow` `div-inv`

Counts

2 → 47

Calls

2 calls:

14.0ms	(pow (exp (* (/ x 1.0) x)) (/ -1/2 1.0))
9.0ms	(log (pow (exp (* (/ x 1.0) x)) (/ -1/2 1.0)))

series1.5s

Counts

2 → 6

Calls

2 calls:

240.0ms	(pow (exp (* (/ x 1.0) x)) (/ -1/2 1.0))
1.3s	(log (pow (exp (* (/ x 1.0) x)) (/ -1/2 1.0)))

simplify458.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	5001
2	885
1	243
0	90

prune363.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize23.0ms

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)))))
12.9b	(log (+ (* 1.0 1.0) (* x (- x 1.0))))
14.3b	(log (+ (pow x 3) (pow 1.0 3)))

rewrite106.0ms

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:

20.0ms	(* x (- x 1.0))
48.0ms	(- (log (+ (pow x 3) (pow 1.0 3))) (log (+ (* 1.0 1.0) (* x (- x 1.0)))))
10.0ms	(log (+ (* 1.0 1.0) (* x (- x 1.0))))
25.0ms	(log (+ (pow x 3) (pow 1.0 3)))

series812.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* x (- x 1.0))
221.0ms	(- (log (+ (pow x 3) (pow 1.0 3))) (log (+ (* 1.0 1.0) (* x (- x 1.0)))))
98.0ms	(log (+ (* 1.0 1.0) (* x (- x 1.0))))
417.0ms	(log (+ (pow x 3) (pow 1.0 3)))

simplify1.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2099
1	496
0	202

prune615.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.3b

bsearch80.0ms

Steps

Iters	Range		Point
9	5.1798647897020696e-05	160.65039477392645	0.00011837369515481862

simplify8.0ms

Iterations

Iter	Nodes
done	38
1	38
0	28

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.5s	2308×	body	1280	valid
508.0ms	1644×	body	640	valid
165.0ms	806×	body	320	valid
122.0ms	421×	body	160	valid
94.0ms	2821×	body	80	valid
61.0ms	2729×	body	80	nan