Details

Time bar (total: 3.8s)

sample20.0ms

Algorithm
intervals
Results
11.0ms509×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1254
2494
3964
42534
58214
631154
750014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(exp (- (- 1.0 (* x x))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×exp-prod
7×add-sqr-sqrt
5×add-cube-cbrt distribute-neg-in *-un-lft-identity exp-sum add-log-exp
4×distribute-lft-neg-in distribute-rgt-neg-in
3×prod-diff rem-exp-log
2×neg-log difference-of-squares
1×pow1 add-exp-log neg-sub0 exp-neg expm1-log1p-u neg-mul-1 sub-neg exp-diff diff-log add-cbrt-cube log1p-expm1-u
Counts
1 → 31
Calls
1 calls:
11.0ms
(exp (- (- 1.0 (* x x))))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(exp (- (- 1.0 (* x x))))

simplify60.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0140176
1392156
21701140
35001133

prune66.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (/ (exp 1.0) (exp (* x x))))
0.0b
(exp (* x x))
0.0b
(/ (exp 1.0) (exp (* x x)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
10×add-cbrt-cube
8×add-exp-log div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num
1×exp-prod exp-to-pow pow-flip associate-/r/ rem-exp-log inv-pow
Counts
3 → 119
Calls
3 calls:
7.0ms
(/ 1 (/ (exp 1.0) (exp (* x x))))
1.0ms
(exp (* x x))
4.0ms
(/ (exp 1.0) (exp (* x x)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(/ 1 (/ (exp 1.0) (exp (* x x))))
10.0ms
(exp (* x x))
65.0ms
(/ (exp 1.0) (exp (* x x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03801083
11628948
25001868

prune213.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (/ (sqrt (exp 1.0)) (/ (exp (* x x)) (sqrt (exp 1.0)))))
0.0b
(exp (* x x))
0.0b
(/ (exp (* x x)) (sqrt (exp 1.0)))
0.0b
(/ (sqrt (exp 1.0)) (/ (exp (* x x)) (sqrt (exp 1.0))))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
1647×times-frac
786×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
624×sqrt-prod
165×associate-/r*
38×div-inv
27×add-exp-log
20×add-cbrt-cube
19×div-exp
12×associate-/l*
10×cbrt-undiv
6×associate-/r/ add-log-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u
3×rec-exp frac-2neg 1-exp clear-num
1×exp-prod exp-to-pow pow-flip rem-exp-log inv-pow
Counts
4 → 808
Calls
4 calls:
34.0ms
(/ 1 (/ (sqrt (exp 1.0)) (/ (exp (* x x)) (sqrt (exp 1.0)))))
1.0ms
(exp (* x x))
5.0ms
(/ (exp (* x x)) (sqrt (exp 1.0)))
11.0ms
(/ (sqrt (exp 1.0)) (/ (exp (* x x)) (sqrt (exp 1.0))))

series268.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ 1 (/ (sqrt (exp 1.0)) (/ (exp (* x x)) (sqrt (exp 1.0)))))
10.0ms
(exp (* x x))
116.0ms
(/ (exp (* x x)) (sqrt (exp 1.0)))
64.0ms
(/ (sqrt (exp 1.0)) (/ (exp (* x x)) (sqrt (exp 1.0))))

simplify150.0ms

Algorithm
egg-herbie
Counts
820 → 820
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0185115405
1500213971

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (- (- 1.0 (* x x))))
1.0b
(log1p (exp (- (- 1.0 (* x x)))))
1.0b
(expm1 (log1p (exp (- (- 1.0 (* x x))))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×exp-prod
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity add-log-exp
5×distribute-neg-in exp-sum
4×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in
3×pow1 add-exp-log prod-diff add-cbrt-cube log1p-expm1-u rem-exp-log
2×neg-log difference-of-squares
1×neg-sub0 exp-neg neg-mul-1 sub-neg log1p-udef expm1-log1p exp-diff diff-log log1p-expm1 expm1-udef
Counts
3 → 53
Calls
3 calls:
11.0ms
(exp (- (- 1.0 (* x x))))
0.0ms
(log1p (exp (- (- 1.0 (* x x)))))
0.0ms
(expm1 (log1p (exp (- (- 1.0 (* x x))))))

series369.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(exp (- (- 1.0 (* x x))))
144.0ms
(log1p (exp (- (- 1.0 (* x x)))))
201.0ms
(expm1 (log1p (exp (- (- 1.0 (* x x))))))

simplify100.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0205377
1618328
22998302
35001294

prune137.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample532.0ms

Algorithm
intervals
Results
344.0ms16015×body80valid