Details

sample334.0ms

Algorithm

intervals

Results

39.0ms	196×	body	10240	exit
13.0ms	376×	body	80	nan
8.0ms	239×	body	80	valid
2.0ms	21×	body	160	valid

simplify71.0ms

Algorithm

egg-herbie

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.3b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.3b	(- (exp (* 2.0 x)) 1.0)
4.4b	(- (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:

14.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
17.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
5.0ms	(- (exp (* 2.0 x)) 1.0)
8.0ms	(- (exp x) 1.0)

series203.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
57.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
32.0ms	(- (exp (* 2.0 x)) 1.0)
23.0ms	(- (exp x) 1.0)

simplify58.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (39.0ms)

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

prune388.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.2b	(/ (- (exp (* 2.0 x)) 1.0) (fma (- 1.0) 1.0 (exp (+ x x))))
4.3b	(fma (- 1.0) 1.0 (exp (+ x x)))
4.3b	(- (exp (* 2.0 x)) 1.0)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
15×	`times-frac`
9×	`prod-diff`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `associate-/r*`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `flip-+` `fma-udef` `div-inv` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

4.0ms	(+ (exp x) 1.0)
11.0ms	(/ (- (exp (* 2.0 x)) 1.0) (fma (- 1.0) 1.0 (exp (+ x x))))
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
5.0ms	(- (exp (* 2.0 x)) 1.0)

series270.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp x) 1.0)
194.0ms	(/ (- (exp (* 2.0 x)) 1.0) (fma (- 1.0) 1.0 (exp (+ x x))))
42.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
25.0ms	(- (exp (* 2.0 x)) 1.0)

simplify45.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	362	957
1	1284	826
2	5001	822

prune333.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (* 1.0 (+ (exp x) 1.0)))
0.0b	(+ (exp x) 1.0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1` `*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`add-exp-log` `expm1-log1p-u` `sqrt-pow1` `flip3-+` `sqrt-div` `associate-*r/` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `pow1/2` `pow-prod-down` `sum-log` `sqrt-prod` `distribute-lft-out`

Counts

2 → 32

Calls

2 calls:

5.0ms	(sqrt (* 1.0 (+ (exp x) 1.0)))
4.0ms	(+ (exp x) 1.0)

series81.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(sqrt (* 1.0 (+ (exp x) 1.0)))
8.0ms	(+ (exp x) 1.0)

simplify47.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	169	181
1	471	171
2	1575	165
3	5002	164

prune92.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt (exp x)) (sqrt (exp x)) 1.0)
0.0b	(sqrt (* 1.0 (fma (sqrt (exp x)) (sqrt (exp x)) 1.0)))
0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `sqrt-pow1`
9×	`pow1`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
6×	`exp-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/2`
2×	`rem-sqrt-square`
1×	`pow-prod-down` `fma-udef`

Counts

4 → 59

Calls

4 calls:

0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) 1.0)
2.0ms	(sqrt (* 1.0 (fma (sqrt (exp x)) (sqrt (exp x)) 1.0)))
1.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))

series168.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) 1.0)
103.0ms	(sqrt (* 1.0 (fma (sqrt (exp x)) (sqrt (exp x)) 1.0)))
12.0ms	(sqrt (exp x))
15.0ms	(sqrt (exp x))

simplify43.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	139	316
1	369	291
2	1353	285
3	5001	281

prune181.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s	6640×	body	10240	exit
383.0ms	12505×	body	80	nan
247.0ms	7418×	body	80	valid
56.0ms	709×	body	160	valid