Details

Time bar (total: 2.4s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify216.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5415
6665
71655
811235
950015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×fma-def associate-/l*
2×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 52
Calls
2 calls:
11.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
6.0ms
(+ (exp x) (exp (- x)))

series69.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
25.0ms
(+ (exp x) (exp (- x)))

simplify119.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0200433
1666397
23139394
35001393

prune130.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))))
0.0b
(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
2.0ms
(/ 2.0 (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))))
0.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

series150.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(/ 2.0 (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))))
66.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0142520
1443436
21620416
35002399

prune118.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.0b
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.0b
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
49×*-un-lft-identity
36×times-frac
29×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
6×associate-/r/ add-log-exp
4×pow1 add-exp-log expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
3×cbrt-div fma-def pow1/3 div-inv
1×+-commutative sum-log
Counts
4 → 104
Calls
4 calls:
6.0ms
(+ (exp x) (exp (- x)))
6.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
6.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
6.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

series626.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (exp x) (exp (- x)))
199.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
204.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
199.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify126.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
02311259
16981201
232591175
350011174

prune357.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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
088

end0.0ms

sample267.0ms

Algorithm
intervals
Results
177.0ms8000×body80valid