Details

sample58.0ms

Algorithm

intervals

Results

30.0ms	132×	pre	10240	exit
9.0ms	256×	body	80	valid
3.0ms	124×	pre	80	true

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
7.3b	(- (/ x0 (- 1.0 x1)) x0)

rewrite82.0ms

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-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

21.0ms	(/ x0 (- 1.0 x1))
58.0ms	(- (/ x0 (- 1.0 x1)) x0)

series109.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ x0 (- 1.0 x1))
58.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.9s

Counts

58 → 58

Iterations

Iter	Nodes
done	5002
3	2627
2	815
1	264
0	117

prune237.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.8b

localize79.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.7b	(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
0.7b	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
5.4b	(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* (* x0 x0) x0))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-cbrt-cube` `add-exp-log`
40×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`pow1` `add-cube-cbrt`
21×	`associate-r`
18×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
11×	`add-log-exp`
7×	`frac-times` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
6×	`pow-plus` `frac-add` `pow-prod-up`
5×	`associate-/r` `associate-r/`
4×	`flip3-+` `associate-/r/` `flip-+`
3×	`sum-log` `flip3--` `pow3` `pow-prod-down` `flip--` `associate-/l*`
2×	`pow2` `pow-sqr` `div-inv` `unswap-sqr`
1×	`difference-cubes` `+-commutative` `associate-+r+` `clear-num` `sub-neg` `frac-2neg` `diff-log` `associate-l` `*-commutative`

Counts

4 → 139

Calls

4 calls:

9.0ms	(/ x0 (- 1.0 x1))
91.0ms	(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
48.0ms	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
137.0ms	(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* (* x0 x0) x0))

series333.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ x0 (- 1.0 x1))
71.0ms	(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
114.0ms	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
110.0ms	(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* (* x0 x0) x0))

simplify2.8s

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
2	4567
1	885
0	273

prune576.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.4b

localize56.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.7b	(/ x0 (- 1.0 x1))
0.7b	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
5.4b	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))

rewrite444.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

17.0ms	(/ x0 (- 1.0 x1))
11.0ms	(/ x0 (- 1.0 x1))
31.0ms	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
379.0ms	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))

series314.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ x0 (- 1.0 x1))
45.0ms	(/ x0 (- 1.0 x1))
109.0ms	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
112.0ms	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))

simplify1.7s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	2775
1	609
0	196

prune421.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.3b

localize55.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.7b	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
2.2b	(log (exp (- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))))
5.4b	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`times-frac`
11×	`add-log-exp`
6×	`add-cbrt-cube` `frac-add` `add-exp-log`
5×	`pow1` `log-prod` `associate-/r*`
4×	`flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`
3×	`exp-prod` `sum-log` `associate-/l*`
2×	`frac-times` `sub-neg` `flip3--` `exp-sum` `associate-l/` `associate-r/` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `log-div` `associate-+r+` `clear-num` `frac-2neg` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `div-inv`

Counts

4 → 86

Calls

4 calls:

9.0ms	(/ x0 (- 1.0 x1))
26.0ms	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
277.0ms	(log (exp (- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))))
96.0ms	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))

series309.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ x0 (- 1.0 x1))
92.0ms	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
89.0ms	(log (exp (- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))))
91.0ms	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))

simplify1.5s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	2890
1	647
0	221

prune408.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.1b

regimes103.0ms

Accuracy

0% (0.7b remaining)

Error of 5.9b against oracle of 5.2b and baseline of 5.9b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample903.0ms

Algorithm

intervals

Results

419.0ms	3893×	pre	10240	exit
203.0ms	8000×	body	80	valid
135.0ms	4107×	pre	80	true