Details

sample46.0ms

Algorithm

intervals

Results

18.0ms	129×	pre	10240	exit
8.0ms	256×	body	80	valid
3.0ms	127×	pre	80	true

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	12	7
done	12	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
7.6b	(- (/ x0 (- 1.0 x1)) x0)

rewrite91.0ms

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:

20.0ms	(/ x0 (- 1.0 x1))
67.0ms	(- (/ x0 (- 1.0 x1)) x0)

series86.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ x0 (- 1.0 x1))
49.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify2.4s

Counts

58 → 58

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	117	677
1	245	641
2	585	613
3	1356	593
4	3233	590
done	5000	590

prune119.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (- 1.0 x1) (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
0.8b	(/ x0 (- 1.0 x1))
6.0b	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
16×	`times-frac`
11×	`pow1` `distribute-lft-out--`
10×	`difference-of-squares`
8×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
7×	`swap-sqr`
5×	`associate-r` `associate-l` `associate-/r*`
4×	`frac-times`
3×	`sub-neg` `associate-/l*`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `pow2` `frac-2neg` `flip3-+` `pow-plus` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

60.0ms	(* (- 1.0 x1) (- 1.0 x1))
49.0ms	(+ (/ x0 (- 1.0 x1)) x0)
14.0ms	(/ x0 (- 1.0 x1))
118.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

series213.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- 1.0 x1) (- 1.0 x1))
55.0ms	(+ (/ x0 (- 1.0 x1)) x0)
44.0ms	(/ x0 (- 1.0 x1))
85.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

simplify1.2s

Counts

121 → 121

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	194	1524
1	445	1424
2	1403	1322
done	5000	1279

prune234.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3)
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
0.8b	(/ x0 (- 1.0 x1))
3.6b	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
33×	`unpow-prod-down` `cube-prod`
29×	`times-frac`
28×	`difference-of-squares`
19×	`add-cube-cbrt`
18×	`associate-/r/`
14×	`flip3--` `flip--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`sqr-pow`
9×	`distribute-lft-out--`
8×	`frac-times` `add-log-exp`
5×	`pow1` `associate-/r*`
4×	`associate-r/` `associate-l/`
3×	`cbrt-undiv` `pow-unpow` `div-exp` `pow-exp` `div-inv` `associate-/l*` `rem-cube-cbrt`
1×	`difference-cubes` `+-commutative` `cube-div` `cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `flip3-+` `diff-log` `unpow3` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 143

Calls

4 calls:

25.0ms	(pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3)
58.0ms	(+ (/ x0 (- 1.0 x1)) x0)
14.0ms	(/ x0 (- 1.0 x1))
179.0ms	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

series325.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3)
44.0ms	(+ (/ x0 (- 1.0 x1)) x0)
37.0ms	(/ x0 (- 1.0 x1))
129.0ms	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

simplify1.3s

Counts

155 → 155

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	272	2973
1	720	2773
2	2403	2550
done	5001	2542

prune469.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.5b

localize51.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
1.3b	(pow (- 1.0 x1) 6)
1.6b	(log (exp (- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))))
3.6b	(- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))

rewrite961.0ms

Algorithm

rewrite-expression-head

Rules

250×	`add-sqr-sqrt`
111×	`times-frac`
109×	`difference-of-squares`
87×	`unpow-prod-down`
83×	`sqr-pow`
57×	`log-pow`
56×	`exp-prod`
50×	`cube-prod`
32×	`*-un-lft-identity`
18×	`add-cube-cbrt`
7×	`add-exp-log` `distribute-lft-out--`
6×	`pow1` `add-cbrt-cube` `add-log-exp`
5×	`log-prod` `associate-/r*`
3×	`pow-unpow` `associate-/l*`
2×	`sub-neg` `flip3--` `exp-sum` `associate-/r/` `flip--`
1×	`cbrt-undiv` `pow-to-exp` `log-div` `pow-pow` `frac-2neg` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `pow-exp` `clear-num` `div-inv`

Counts

4 → 192

Calls

4 calls:

11.0ms	(/ x0 (- 1.0 x1))
13.0ms	(pow (- 1.0 x1) 6)
603.0ms	(log (exp (- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))))
320.0ms	(- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))

series338.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ x0 (- 1.0 x1))
44.0ms	(pow (- 1.0 x1) 6)
128.0ms	(log (exp (- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))))
123.0ms	(- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))

simplify912.0ms

Counts

204 → 204

Iterations

Useful iterations: done (901.0ms)

Iter	Nodes	Cost
0	323	4077
1	635	3618
2	1475	3465
done	5001	3437

prune741.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.8b

regimes106.0ms

Accuracy

90% (0.1b remaining)

Error of 2.0b against oracle of 1.9b and baseline of 3.3b

bsearch87.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.00021208908081054686

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	134
1	50	134
done	50	134

end0.0ms

sample1.2s

Algorithm

intervals

Results

697.0ms	3974×	pre	10240	exit
202.0ms	8000×	body	80	valid
96.0ms	4026×	pre	80	true