Details

sample397.0ms

Algorithm

intervals

Results

40.0ms	226×	body	10240	exit
31.0ms	375×	body	80	nan
9.0ms	237×	body	80	valid
2.0ms	21×	body	160	valid

simplify75.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	28	7
2	41	7
3	75	7
4	182	7
5	576	7
6	2666	7
7	5001	7
done	5001	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.1b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.5b	(- (exp (* 2.0 x)) 1.0)
4.6b	(- (exp x) 1.0)

rewrite118.0ms

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:

31.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
49.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
15.0ms	(- (exp (* 2.0 x)) 1.0)
15.0ms	(- (exp x) 1.0)

series203.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
61.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
25.0ms	(- (exp (* 2.0 x)) 1.0)
24.0ms	(- (exp x) 1.0)

simplify53.0ms

Counts

167 → 167

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	480	1694
1	1523	1484
2	5001	1470
done	5001	1470

prune409.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (fma (- 1.0) 1.0 (exp (+ x x)))) (+ (exp x) 1.0)))
0.0b	(+ (exp x) 1.0)
4.5b	(fma (- 1.0) 1.0 (exp (+ x x)))
4.5b	(- (exp (* 2.0 x)) 1.0)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

19.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (fma (- 1.0) 1.0 (exp (+ x x)))) (+ (exp x) 1.0)))
10.0ms	(+ (exp x) 1.0)
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
18.0ms	(- (exp (* 2.0 x)) 1.0)

series238.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (fma (- 1.0) 1.0 (exp (+ x x)))) (+ (exp x) 1.0)))
8.0ms	(+ (exp x) 1.0)
46.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
25.0ms	(- (exp (* 2.0 x)) 1.0)

simplify42.0ms

Counts

85 → 85

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	361	673
1	1258	564
2	5002	559
done	5002	559

prune291.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp x) 3)
4.5b	(- (exp (* 2.0 x)) 1.0)
4.5b	(fma (- 1.0) 1.0 (exp (+ x x)))
4.6b	(- (* 1.0 1.0) (* (exp x) 1.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

7.0ms	(pow (exp x) 3)
15.0ms	(- (exp (* 2.0 x)) 1.0)
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
9.0ms	(- (* 1.0 1.0) (* (exp x) 1.0))

series128.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (exp x) 3)
32.0ms	(- (exp (* 2.0 x)) 1.0)
41.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
31.0ms	(- (* 1.0 1.0) (* (exp x) 1.0))

simplify62.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	374	523
1	1648	414
2	5002	407
done	5002	407

prune423.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.5b	(- (exp (* 2.0 x)) 1.0)
4.6b	(- (exp x) 1.0)
4.6b	(- (exp x) 1.0)
4.6b	(- (exp x) 1.0)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
12×	`fma-neg` `add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

15.0ms	(- (exp (* 2.0 x)) 1.0)
15.0ms	(- (exp x) 1.0)
12.0ms	(- (exp x) 1.0)
12.0ms	(- (exp x) 1.0)

series74.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (exp (* 2.0 x)) 1.0)
15.0ms	(- (exp x) 1.0)
15.0ms	(- (exp x) 1.0)
16.0ms	(- (exp x) 1.0)

simplify96.0ms

Counts

124 → 124

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	228	864
1	634	558
2	3141	517
3	5001	427
done	5001	427

prune343.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes30.0ms

Accuracy

73.8% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.8b

bsearch29.0ms

Steps

Iters	Range		Point
5	-1.7281007446970404e-10	-4.560344852981834e-11	-1.6932215378213687e-10

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16
done	27	16

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	6893×	body	10240	exit
371.0ms	12839×	body	80	nan
236.0ms	7396×	body	80	valid
60.0ms	727×	body	160	valid