Details

sample57.0ms

Algorithm

intervals

Results

23.0ms	127×	pre	10240	exit
10.0ms	256×	body	80	valid
4.0ms	129×	pre	80	true

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
done	12	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
7.5b	(- (/ x0 (- 1.0 x1)) x0)

rewrite97.0ms

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)

series100.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ x0 (- 1.0 x1))
59.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify2.0s

Counts

58 → 58

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	117	677
1	747	633
done	5000	601

prune122.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (/ x0 (- 1.0 x1)) x0)
0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
5.9b	(- (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) x0)

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
33×	`times-frac`
24×	`add-cube-cbrt`
11×	`difference-of-squares`
10×	`associate-/r*`
9×	`distribute-lft-out--`
8×	`add-exp-log` `add-cbrt-cube` `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 → 102

Calls

4 calls:

64.0ms	(+ (/ x0 (- 1.0 x1)) x0)
12.0ms	(/ x0 (- 1.0 x1))
11.0ms	(/ x0 (- 1.0 x1))
211.0ms	(- (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) x0)

series299.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (/ x0 (- 1.0 x1)) x0)
67.0ms	(/ x0 (- 1.0 x1))
60.0ms	(/ x0 (- 1.0 x1))
125.0ms	(- (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) x0)

simplify1.7s

Counts

114 → 114

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	151	1430
1	985	1346
done	5000	1258

prune346.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.5b

localize44.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
1.0b	(pow (- 1.0 x1) 3)
3.6b	(- (pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 3) (pow x0 3))

rewrite786.0ms

Algorithm

rewrite-expression-head

Rules

123×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
54×	`times-frac`
42×	`difference-of-squares`
29×	`unpow-prod-down` `cube-prod`
27×	`add-cube-cbrt`
15×	`distribute-lft-out--`
13×	`sqr-pow`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`flip3--` `associate-/r/` `flip--`
3×	`pow-unpow`
2×	`cbrt-undiv` `cube-div` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`difference-cubes` `cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `diff-log` `unpow3` `pow-exp` `rem-cube-cbrt`

Counts

4 → 153

Calls

4 calls:

13.0ms	(/ x0 (- 1.0 x1))
22.0ms	(/ x0 (- 1.0 x1))
14.0ms	(pow (- 1.0 x1) 3)
730.0ms	(- (pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 3) (pow x0 3))

series278.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ x0 (- 1.0 x1))
45.0ms	(/ x0 (- 1.0 x1))
31.0ms	(pow (- 1.0 x1) 3)
136.0ms	(- (pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 3) (pow x0 3))

simplify659.0ms

Counts

165 → 165

Iterations

Useful iterations: done (648.0ms)

Iter	Nodes	Cost
0	211	2797
done	5001	2671

prune658.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.1b

localize69.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
1.0b	(pow (- 1.0 x1) 3)
1.4b	(pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) (* 2 3))
4.4b	(- (pow (pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 3) 3) (pow (pow x0 3) 3))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

564×	`add-sqr-sqrt`
400×	`unpow-prod-down`
315×	`times-frac`
289×	`cube-prod`
222×	`difference-of-squares`
210×	`*-un-lft-identity`
86×	`sqr-pow`
84×	`add-cube-cbrt`
63×	`distribute-lft-out--`
14×	`associate-/r/`
13×	`add-exp-log`
9×	`flip3--` `flip--`
7×	`add-cbrt-cube` `div-inv`
6×	`pow1` `add-log-exp`
5×	`associate-/r*`
4×	`pow-unpow` `div-exp` `pow-exp`
3×	`associate-/l*`
2×	`cube-div` `pow-to-exp` `pow-pow`
1×	`difference-cubes` `cbrt-undiv` `cube-mult` `sub-neg` `frac-2neg` `diff-log` `unpow3` `clear-num` `rem-cube-cbrt`

Counts

4 → 405

Calls

4 calls:

11.0ms	(/ x0 (- 1.0 x1))
10.0ms	(pow (- 1.0 x1) 3)
40.0ms	(pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) (* 2 3))
1.7s	(- (pow (pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 3) 3) (pow (pow x0 3) 3))

series359.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ x0 (- 1.0 x1))
31.0ms	(pow (- 1.0 x1) 3)
114.0ms	(pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) (* 2 3))
175.0ms	(- (pow (pow (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) 3) 3) (pow (pow x0 3) 3))

simplify598.0ms

Counts

417 → 417

Iterations

Useful iterations: done (572.0ms)

Iter	Nodes	Cost
0	589	13372
done	5001	13027

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.4b

regimes87.0ms

Accuracy

0% (1.9b remaining)

Error of 6.3b against oracle of 4.4b and baseline of 6.3b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	34	117
1	47	111
done	47	111

end0.0ms

sample1.0s

Algorithm

intervals

Results

516.0ms	3989×	pre	10240	exit
233.0ms	8000×	body	80	valid
69.0ms	4011×	pre	80	true