Details

sample334.0ms

Algorithm

intervals

Results

41.0ms	214×	body	10240	exit
13.0ms	457×	body	80	nan
7.0ms	231×	body	80	valid
2.0ms	30×	body	160	valid

simplify958.0ms

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	175	12
6	476	12
7	1519	12
done	5001	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
0.3b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
5.8b	(- (exp (* 2.0 x)) 1.0)
5.9b	(- (exp x) 1.0)

rewrite50.0ms

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:

16.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
14.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
5.0ms	(- (exp (* 2.0 x)) 1.0)
8.0ms	(- (exp x) 1.0)

series202.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
90.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
25.0ms	(- (exp (* 2.0 x)) 1.0)
29.0ms	(- (exp x) 1.0)

simplify1.8s

Counts

167 → 167

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	232	2954
1	475	2688
2	1077	2471
3	3782	2398
done	5000	2396

prune382.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
0.3b	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
5.8b	(- (exp (* 2.0 x)) 1.0)
5.8b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
25×	`add-cube-cbrt` `times-frac`
21×	`difference-of-squares`
13×	`prod-diff`
9×	`exp-sum`
8×	`add-log-exp`
7×	`pow1` `fma-neg` `distribute-lft-out--`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sqrt-div` `associate-/r` `associate-/l`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
2×	`frac-times` `sub-neg` `sqrt-pow1` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `pow1/2` `div-sub` `div-exp` `pow-prod-down` `associate-*l/` `clear-num` `sqrt-prod` `div-inv`

Counts

4 → 124

Calls

4 calls:

39.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
27.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
5.0ms	(- (exp (* 2.0 x)) 1.0)
30.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series334.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
126.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
28.0ms	(- (exp (* 2.0 x)) 1.0)
20.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify627.0ms

Counts

136 → 136

Iterations

Useful iterations: done (622.0ms)

Iter	Nodes	Cost
0	235	2675
1	560	2520
2	1587	2286
done	5000	2273

prune407.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (exp (* 2.0 x)) 1.0) (cbrt (pow (- (exp (* 2 x)) (* 1.0 1.0)) 3)))
0.3b	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (cbrt (pow (- (exp (* 2 x)) (* 1.0 1.0)) 3))) (+ (exp x) 1.0)))
5.8b	(- (exp (* 2.0 x)) 1.0)
5.8b	(- (exp (* 2 x)) (* 1.0 1.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-sqr-sqrt`
93×	`*-un-lft-identity`
85×	`times-frac`
84×	`cbrt-prod`
55×	`add-cube-cbrt`
32×	`difference-of-squares`
24×	`unpow-prod-down` `cube-prod`
19×	`distribute-lft-out--`
17×	`associate-/r*`
12×	`prod-diff`
8×	`add-log-exp`
7×	`pow1`
6×	`add-exp-log` `cube-mult` `fma-neg` `unpow3` `sqr-pow`
5×	`sqrt-div` `add-cbrt-cube` `associate-/l*`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
2×	`cube-div` `frac-times` `sub-neg` `cbrt-div` `sqrt-pow1` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `pow1/2` `div-sub` `div-exp` `pow-prod-down` `associate-*l/` `clear-num` `sqrt-prod` `div-inv`

Counts

4 → 193

Calls

4 calls:

22.0ms	(/ (- (exp (* 2.0 x)) 1.0) (cbrt (pow (- (exp (* 2 x)) (* 1.0 1.0)) 3)))
20.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (cbrt (pow (- (exp (* 2 x)) (* 1.0 1.0)) 3))) (+ (exp x) 1.0)))
5.0ms	(- (exp (* 2.0 x)) 1.0)
4.0ms	(- (exp (* 2 x)) (* 1.0 1.0))

series323.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(/ (- (exp (* 2.0 x)) 1.0) (cbrt (pow (- (exp (* 2 x)) (* 1.0 1.0)) 3)))
122.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (cbrt (pow (- (exp (* 2 x)) (* 1.0 1.0)) 3))) (+ (exp x) 1.0)))
28.0ms	(- (exp (* 2.0 x)) 1.0)
18.0ms	(- (exp (* 2 x)) (* 1.0 1.0))

simplify780.0ms

Counts

205 → 205

Iterations

Useful iterations: done (772.0ms)

Iter	Nodes	Cost
0	313	5609
1	722	4792
2	2030	4403
done	5001	4389

prune483.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (cbrt (pow (- (exp (* 2.0 x)) 1.0) 3)) (- (exp (+ x x)) (* 1.0 1.0)))
0.3b	(sqrt (* (/ (cbrt (pow (- (exp (* 2.0 x)) 1.0) 3)) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
5.8b	(- (exp (* 2.0 x)) 1.0)
5.8b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-sqr-sqrt`
96×	`cbrt-prod`
95×	`times-frac`
83×	`*-un-lft-identity`
57×	`add-cube-cbrt`
55×	`difference-of-squares`
30×	`unpow-prod-down` `cube-prod`
23×	`exp-sum`
19×	`associate-/l*`
13×	`prod-diff` `distribute-lft-out--`
8×	`add-log-exp`
7×	`pow1` `fma-neg`
6×	`add-exp-log` `cube-mult` `unpow3` `sqr-pow`
5×	`sqrt-div` `associate-/r*` `add-cbrt-cube`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
2×	`cube-div` `frac-times` `sub-neg` `cbrt-div` `sqrt-pow1` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `pow1/2` `div-exp` `pow-prod-down` `associate-*l/` `clear-num` `sqrt-prod` `div-inv`

Counts

4 → 207

Calls

4 calls:

48.0ms	(/ (cbrt (pow (- (exp (* 2.0 x)) 1.0) 3)) (- (exp (+ x x)) (* 1.0 1.0)))
33.0ms	(sqrt (* (/ (cbrt (pow (- (exp (* 2.0 x)) 1.0) 3)) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
5.0ms	(- (exp (* 2.0 x)) 1.0)
29.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series343.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(/ (cbrt (pow (- (exp (* 2.0 x)) 1.0) 3)) (- (exp (+ x x)) (* 1.0 1.0)))
132.0ms	(sqrt (* (/ (cbrt (pow (- (exp (* 2.0 x)) 1.0) 3)) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
24.0ms	(- (exp (* 2.0 x)) 1.0)
19.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify790.0ms

Counts

219 → 219

Iterations

Useful iterations: done (782.0ms)

Iter	Nodes	Cost
0	340	5824
1	678	4965
2	2161	4571
done	5001	4558

prune560.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes31.0ms

Accuracy

77.5% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 2.7b

bsearch32.0ms

Steps

Iters	Range		Point
5	-4.022447873684564e-15	-1.6668736937815573e-15	-2.5679454952614643e-15

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	55
1	40	55
done	40	55

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s	6643×	body	10240	exit
388.0ms	12688×	body	80	nan
233.0ms	7478×	body	80	valid
51.0ms	664×	body	160	valid