Details

sample61.0ms

Algorithm

intervals

Results

32.0ms	81×	body	10240	exit
10.0ms	272×	body	80	valid
3.0ms	6×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	23	5
3	23	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
1.0b	(log (+ 1.0 (exp x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

7.0ms	(+ 1.0 (exp x))
6.0ms	(log (+ 1.0 (exp x)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ 1.0 (exp x))
64.0ms	(log (+ 1.0 (exp x)))

simplify100.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 4 (97.0ms)

Iter	Nodes	Cost
0	137	181
1	364	163
2	1024	163
3	3614	161
4	5001	159

prune97.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
1.0b	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0))))
1.1b	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0)))
3.7b	(- (exp x) 1.0)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

114×	`*-un-lft-identity`
54×	`times-frac`
44×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
35×	`distribute-lft-out`
31×	`unpow-prod-down` `log-prod` `cube-prod`
9×	`add-exp-log` `prod-diff` `associate-/l*`
7×	`sum-cubes` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `fma-neg` `associate-/r*`
2×	`div-exp` `rem-log-exp` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `sub-neg` `log-div` `flip3--` `frac-2neg` `flip3-+` `diff-log` `unpow3` `pow-exp` `clear-num` `log-pow` `flip--` `flip-+` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 155

Calls

4 calls:

5.0ms	(pow (exp x) 3)
21.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0))))
68.0ms	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0)))
14.0ms	(- (exp x) 1.0)

series278.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow (exp x) 3)
156.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0))))
85.0ms	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0)))
15.0ms	(- (exp x) 1.0)

simplify80.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	497	2064
1	2082	1885
2	5002	1879

prune397.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log (fma x (fma 1/2 x 1) 2.0)) (* x y))
6.6b	(log (fma x (fma 1/2 x 1) 2.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1`
4×	`fma-neg` `prod-diff`
3×	`add-exp-log` `associate--l+` `log-pow` `add-log-exp`
2×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--`

Counts

2 → 39

Calls

2 calls:

9.0ms	(- (log (fma x (fma 1/2 x 1) 2.0)) (* x y))
1.0ms	(log (fma x (fma 1/2 x 1) 2.0))

series139.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(- (log (fma x (fma 1/2 x 1) 2.0)) (* x y))
58.0ms	(log (fma x (fma 1/2 x 1) 2.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	221	317
1	704	285
2	2781	282
3	5001	264

prune125.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp (log (log (fma x (fma 1/2 x 1) 2.0)))) (* x y))
0.0b	(log (log (fma x (fma 1/2 x 1) 2.0)))
0.3b	(exp (log (log (fma x (fma 1/2 x 1) 2.0))))
6.6b	(log (fma x (fma 1/2 x 1) 2.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `exp-sum`
11×	`pow1`
7×	`fma-neg` `prod-diff` `log-pow`
6×	`add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `exp-prod` `add-cbrt-cube` `log1p-expm1-u`
2×	`rem-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `rem-exp-log`

Counts

4 → 75

Calls

4 calls:

23.0ms	(- (exp (log (log (fma x (fma 1/2 x 1) 2.0)))) (* x y))
2.0ms	(log (log (fma x (fma 1/2 x 1) 2.0)))
3.0ms	(exp (log (log (fma x (fma 1/2 x 1) 2.0))))
1.0ms	(log (fma x (fma 1/2 x 1) 2.0))

series295.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (exp (log (log (fma x (fma 1/2 x 1) 2.0)))) (* x y))
107.0ms	(log (log (fma x (fma 1/2 x 1) 2.0)))
54.0ms	(exp (log (log (fma x (fma 1/2 x 1) 2.0))))
58.0ms	(log (fma x (fma 1/2 x 1) 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	384	719
1	1328	611
2	5002	588

prune231.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

regimes49.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	13
1	17	13

end0.0ms

sample1.8s

Algorithm

intervals

Results

990.0ms	2460×	body	10240	exit
316.0ms	8435×	body	80	valid
69.0ms	262×	body	640	valid
58.0ms	118×	body	1280	valid
33.0ms	193×	body	320	valid
9.0ms	97×	body	160	valid