Details

sample53.0ms

Algorithm

intervals

Results

15.0ms	123×	body	80	valid
12.0ms	55×	body	640	valid
6.0ms	40×	body	320	valid
5.0ms	19×	body	1280	valid
2.0ms	19×	body	160	valid

simplify105.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	198
9	198
8	170
7	103
6	83
5	72
4	60
3	41
2	31
1	18
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (+ x 1.0))
3.7b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite501.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
32×	`times-frac`
24×	`add-sqr-sqrt`
13×	`distribute-lft-out`
12×	`add-cube-cbrt`
10×	`distribute-lft-out--` `add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `frac-add` `associate-/l*`
2×	`associate-+l+` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-/r/` `frac-sub` `flip-+` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `div-exp` `associate-+l-` `div-inv`

Counts

3 → 77

Calls

3 calls:

83.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
9.0ms	(/ 1.0 (+ x 1.0))
403.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series350.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
27.0ms	(/ 1.0 (+ x 1.0))
278.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify1.4s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1301
1	421
0	166

prune373.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (+ x 1.0))
3.7b	(+ (/ 1.0 (- x 1.0)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
32×	`times-frac`
24×	`add-sqr-sqrt`
13×	`distribute-lft-out`
12×	`add-cube-cbrt`
10×	`distribute-lft-out--` `add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `frac-add` `associate-/l*`
2×	`associate-+r+` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-/r/` `frac-sub` `flip-+` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 77

Calls

3 calls:

65.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
9.0ms	(/ 1.0 (+ x 1.0))
246.0ms	(+ (/ 1.0 (- x 1.0)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))

series416.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
47.0ms	(/ 1.0 (+ x 1.0))
313.0ms	(+ (/ 1.0 (- x 1.0)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))

simplify1.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
2	1458
1	443
0	165

prune363.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.7b	(- (+ (/ 1.0 (- x 1.0)) (/ 1.0 (+ x 1.0))) (/ 2.0 x))
2.9b	(+ (/ 1.0 (- x 1.0)) (/ 1.0 (+ x 1.0)))

rewrite666.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
49×	`times-frac`
32×	`distribute-lft-out`
25×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
14×	`distribute-lft-out--`
10×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/r*` `associate-/r/` `flip-+`
3×	`pow1` `flip3-+` `frac-sub` `div-inv` `associate-/l*`
2×	`sum-log` `diff-log` `frac-add` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sub-neg` `frac-2neg` `flip3--` `div-exp` `associate--l+`

Counts

3 → 85

Calls

3 calls:

9.0ms	(/ 1.0 (+ x 1.0))
568.0ms	(- (+ (/ 1.0 (- x 1.0)) (/ 1.0 (+ x 1.0))) (/ 2.0 x))
84.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1.0 (+ x 1.0)))

series567.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ 1.0 (+ x 1.0))
302.0ms	(- (+ (/ 1.0 (- x 1.0)) (/ 1.0 (+ x 1.0))) (/ 2.0 x))
220.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1.0 (+ x 1.0)))

simplify1.5s

Counts

94 → 94

Iterations

Iter	Nodes
done	5012
2	1542
1	445
0	171

prune466.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (* (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0)) x) (* (* (- x 1.0) (+ x 1.0)) 2.0)) (* (* (- x 1.0) (+ x 1.0)) x))
0.1b	(* (* (- x 1.0) (+ x 1.0)) x)
2.9b	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0))
18.3b	(- (* (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0)) x) (* (* (- x 1.0) (+ x 1.0)) 2.0))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

304×	`associate-*l/`
96×	`associate-*r/` `frac-sub`
93×	`flip3-+` `flip-+`
78×	`flip3--` `flip--`
68×	`frac-add`
56×	`frac-times`
50×	`associate-/l/`
18×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
8×	`associate-/r/` `add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-r` `pow-prod-down` `associate-/l*`
2×	`associate-+l+`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

4 → 185

Calls

4 calls:

133.0ms	(/ (- (* (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0)) x) (* (* (- x 1.0) (+ x 1.0)) 2.0)) (* (* (- x 1.0) (+ x 1.0)) x))
52.0ms	(* (* (- x 1.0) (+ x 1.0)) x)
25.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0))
67.0ms	(- (* (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0)) x) (* (* (- x 1.0) (+ x 1.0)) 2.0))

series337.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(/ (- (* (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0)) x) (* (* (- x 1.0) (+ x 1.0)) 2.0)) (* (* (- x 1.0) (+ x 1.0)) x))
172.0ms	(* (* (- x 1.0) (+ x 1.0)) x)
51.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0))
2.0ms	(- (* (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) 1.0)) x) (* (* (- x 1.0) (+ x 1.0)) 2.0))

simplify2.1s

Counts

197 → 197

Iterations

Iter	Nodes
done	5001
1	1924
0	453

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes61.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

653.0ms	4122×	body	80	valid
455.0ms	1886×	body	640	valid
256.0ms	1023×	body	320	valid
167.0ms	512×	body	1280	valid
47.0ms	457×	body	160	valid