Details

sample283.0ms

Algorithm

intervals

Results

143.0ms	203×	body	10240	exit
27.0ms	384×	body	80	nan
17.0ms	245×	body	80	valid
3.0ms	16×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	12
1	19	12
2	28	12
3	41	12
4	76	12
5	181	12
6	489	12
7	1695	12
done	5000	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.0b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
3.0b	(- (exp (* 2.0 x)) 1.0)
3.1b	(- (exp x) 1.0)

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
51×	`times-frac`
41×	`add-cube-cbrt`
31×	`sqrt-prod`
24×	`distribute-lft-out--` `difference-of-squares`
18×	`prod-diff`
8×	`add-log-exp`
6×	`add-exp-log` `fma-neg` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
2×	`sub-neg` `rem-sqrt-square` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 155

Calls

4 calls:

30.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
51.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
29.0ms	(- (exp (* 2.0 x)) 1.0)
23.0ms	(- (exp x) 1.0)

series298.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
119.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
33.0ms	(- (exp (* 2.0 x)) 1.0)
25.0ms	(- (exp x) 1.0)

simplify2.5s

Counts

167 → 167

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	232	2954
1	482	2688
2	1071	2471
3	3554	2362
done	5000	2356

prune491.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
3.0b	(- (exp (* 2.0 x)) 1.0)
3.0b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`prod-diff`
10×	`add-log-exp`
7×	`pow1` `fma-neg`
5×	`sqrt-div`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `exp-sum` `flip-+` `difference-of-squares`
2×	`frac-times` `sub-neg` `flip3--` `sqrt-pow1` `diff-log` `associate-*r/` `flip--`
1×	`+-commutative` `pow1/2` `pow-prod-down` `associate-*l/` `sum-log` `sqrt-prod` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 87

Calls

4 calls:

10.0ms	(+ (exp x) 1.0)
86.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
29.0ms	(- (exp (* 2.0 x)) 1.0)
65.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series235.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (exp x) 1.0)
169.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
27.0ms	(- (exp (* 2.0 x)) 1.0)
24.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify3.8s

Counts

99 → 99

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	183	1444
1	423	1302
2	1176	1154
3	4985	947
done	5000	947

prune553.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (exp x))
0.2b	(sqrt (exp x))
3.0b	(- (exp (* 2.0 x)) 1.0)
3.0b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`prod-diff`
8×	`sqrt-pow1` `add-log-exp`
7×	`fma-neg`
6×	`pow1` `exp-prod` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`exp-sum` `difference-of-squares`
2×	`sub-neg` `rem-sqrt-square` `flip3--` `pow1/2` `diff-log` `flip--`
1×	`distribute-lft-out--`

Counts

4 → 88

Calls

4 calls:

3.0ms	(sqrt (exp x))
3.0ms	(sqrt (exp x))
17.0ms	(- (exp (* 2.0 x)) 1.0)
82.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series113.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (exp x))
18.0ms	(sqrt (exp x))
44.0ms	(- (exp (* 2.0 x)) 1.0)
31.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify2.2s

Counts

100 → 100

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	141	1009
1	288	881
2	647	762
3	2356	669
done	5000	651

prune493.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp x) 3)
3.0b	(- (exp (* 2.0 x)) 1.0)
3.0b	(- (exp (+ x x)) (* 1.0 1.0))
3.1b	(- 1.0 (exp x))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`prod-diff`
10×	`fma-neg` `add-log-exp`
5×	`pow1` `add-cbrt-cube`
4×	`add-exp-log` `expm1-log1p-u` `pow-pow` `log1p-expm1-u` `difference-of-squares`
3×	`sub-neg` `unpow-prod-down` `pow-unpow` `exp-prod` `flip3--` `diff-log` `cube-prod` `exp-sum` `flip--`
2×	`distribute-lft-out--`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 108

Calls

4 calls:

8.0ms	(pow (exp x) 3)
30.0ms	(- (exp (* 2.0 x)) 1.0)
100.0ms	(- (exp (+ x x)) (* 1.0 1.0))
13.0ms	(- 1.0 (exp x))

series145.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow (exp x) 3)
45.0ms	(- (exp (* 2.0 x)) 1.0)
38.0ms	(- (exp (+ x x)) (* 1.0 1.0))
33.0ms	(- 1.0 (exp x))

simplify1.5s

Counts

120 → 120

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	201	1421
1	430	1100
2	1221	927
done	5000	855

prune663.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

73.9% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.7b

bsearch57.0ms

Steps

Iters	Range		Point
8	-4.403108084983288e-07	-5.598498926449877e-10	-3.6396238490178844e-07

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	48
1	35	48
done	35	48

end0.0ms

sample7.2s

Algorithm

intervals

Results

4.0s	6421×	body	10240	exit
1.8s	12501×	body	80	nan
577.0ms	7417×	body	80	valid
103.0ms	708×	body	160	valid