Details

sample294.0ms

Algorithm

intervals

Results

13.0ms	395×	body	80	nan
9.0ms	234×	body	80	valid
7.0ms	224×	body	80	overflowed
2.0ms	22×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize11.0ms

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))
4.4b	(- (exp (* 2.0 x)) 1.0)
4.5b	(- (exp x) 1.0)

rewrite58.0ms

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:

23.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
16.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
5.0ms	(- (exp (* 2.0 x)) 1.0)
7.0ms	(- (exp x) 1.0)

series198.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
60.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
24.0ms	(- (exp (* 2.0 x)) 1.0)
22.0ms	(- (exp x) 1.0)

simplify55.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (39.0ms)

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

prune382.0ms

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))))
4.4b	(fma (- 1.0) 1.0 (exp (+ x x)))
4.4b	(- (exp (* 2.0 x)) 1.0)

rewrite23.0ms

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)

series265.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp x) 1.0)
188.0ms	(/ (- (exp (* 2.0 x)) 1.0) (fma (- 1.0) 1.0 (exp (+ x x))))
45.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
24.0ms	(- (exp (* 2.0 x)) 1.0)

simplify48.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (35.0ms)

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

prune336.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

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)

series80.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(sqrt (* 1.0 (+ (exp x) 1.0)))
8.0ms	(+ (exp x) 1.0)

simplify46.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (43.0ms)

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

prune98.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* 1.0 (+ (exp x) 1.0)))
0.0b	(+ (exp x) 1.0)
0.1b	(exp (log (sqrt (* 1.0 (+ (exp x) 1.0)))))
0.1b	(log (sqrt (* 1.0 (+ (exp x) 1.0))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

7.0ms	(sqrt (* 1.0 (+ (exp x) 1.0)))
4.0ms	(+ (exp x) 1.0)
17.0ms	(exp (log (sqrt (* 1.0 (+ (exp x) 1.0)))))
6.0ms	(log (sqrt (* 1.0 (+ (exp x) 1.0))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sqrt (* 1.0 (+ (exp x) 1.0)))
13.0ms	(+ (exp x) 1.0)
67.0ms	(exp (log (sqrt (* 1.0 (+ (exp x) 1.0)))))
173.0ms	(log (sqrt (* 1.0 (+ (exp x) 1.0))))

simplify76.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	263	542
1	774	508
2	2734	483
3	5002	473

prune210.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	11	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

415.0ms	12713×	body	80	nan
254.0ms	7405×	body	80	valid
206.0ms	6606×	body	80	overflowed
60.0ms	723×	body	160	valid