Details

sample73.0ms

Algorithm

intervals

Results

39.0ms	80×	body	10240	exit
12.0ms	266×	body	80	valid
3.0ms	10×	body	640	valid
2.0ms	3×	body	1280	valid
1.0ms	8×	body	320	valid
0.0ms	3×	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: 0.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.8b	(log (+ 1.0 (exp x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

6.0ms	(+ 1.0 (exp x))
12.0ms	(- (log (+ 1.0 (exp x))) (* x y))
5.0ms	(log (+ 1.0 (exp x)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ 1.0 (exp x))
56.0ms	(- (log (+ 1.0 (exp x))) (* x y))
59.0ms	(log (+ 1.0 (exp x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	236	404
1	702	369
2	2284	367
3	5002	340

prune166.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.8b	(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)))
4.9b	(- (exp x) 1.0)

rewrite109.0ms

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:

4.0ms	(pow (exp x) 3)
20.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0))))
64.0ms	(/ (+ (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)

series298.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(pow (exp x) 3)
159.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0))))
102.0ms	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0)))
16.0ms	(- (exp x) 1.0)

simplify85.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (61.0ms)

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

prune420.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (+ 1.0 (exp x)))
1.1b	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
1.1b	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
1.1b	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `log-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`
2×	`log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out`

Counts

4 → 62

Calls

4 calls:

5.0ms	(log (+ 1.0 (exp x)))
4.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
4.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
7.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

series902.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(log (+ 1.0 (exp x)))
283.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
278.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
279.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	349	970
1	1259	923
2	5002	905

prune274.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

1.1b	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
1.5b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
5.5b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
5.9b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
12×	`log-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`pow1` `add-exp-log` `add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `unpow-prod-down` `log-div` `cube-prod` `add-cbrt-cube` `log1p-expm1-u`
3×	`cbrt-prod`
2×	`cbrt-div` `flip3--` `flip3-+` `rem-log-exp` `log-pow` `flip--` `flip-+`
1×	`sub-neg` `distribute-rgt-out--` `fma-neg` `pow1/3` `diff-log` `prod-diff` `sum-cubes`

Counts

4 → 70

Calls

4 calls:

4.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
19.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
19.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
35.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series518.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
88.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
44.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
102.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	574	911
1	2178	828
2	5001	822

prune519.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

regimes65.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

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

1.0s	2460×	body	10240	exit
314.0ms	8283×	body	80	valid
69.0ms	253×	body	640	valid
67.0ms	132×	body	1280	valid
35.0ms	216×	body	320	valid
10.0ms	104×	body	160	valid