Details

Time bar (total: 1.8s)

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
5.0ms
(+ (exp x) (exp (- x)))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(+ (exp x) (exp (- x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0106110
135897
2132595
3500194

prune43.0ms

Filtered
20 candidates to 18 candidates (90.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New18220
Fresh000
Picked101
Done000
Total19221

Merged error: 0b

Counts
21 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.5b
(cbrt (+ (exp x) (exp (- x))))
0.5b
(cbrt (+ (exp x) (exp (- x))))
0.5b
(cbrt (+ (exp x) (exp (- x))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
3×fma-def pow1/3
1×+-commutative sum-log
Counts
4 → 65
Calls
4 calls:
8.0ms
(+ (exp x) (exp (- x)))
5.0ms
(cbrt (+ (exp x) (exp (- x))))
4.0ms
(cbrt (+ (exp x) (exp (- x))))
4.0ms
(cbrt (+ (exp x) (exp (- x))))

series425.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (exp x) (exp (- x)))
130.0ms
(cbrt (+ (exp x) (exp (- x))))
136.0ms
(cbrt (+ (exp x) (exp (- x))))
131.0ms
(cbrt (+ (exp x) (exp (- x))))

simplify77.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0159626
1540571
22119548
35003547

prune208.0ms

Filtered
77 candidates to 68 candidates (88.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New77077
Fresh011
Picked011
Done000
Total77279

Merged error: 0b

Counts
79 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (fma 1/12 (pow x 4) 2))
0.0b
(fma 1/12 (pow x 4) 2)
0.2b
(/ 2.0 (fma x x (fma 1/12 (pow x 4) 2)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
1.0ms
(fma x x (fma 1/12 (pow x 4) 2))
1.0ms
(fma 1/12 (pow x 4) 2)
3.0ms
(/ 2.0 (fma x x (fma 1/12 (pow x 4) 2)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(fma x x (fma 1/12 (pow x 4) 2))
86.0ms
(fma 1/12 (pow x 4) 2)
77.0ms
(/ 2.0 (fma x x (fma 1/12 (pow x 4) 2)))

simplify95.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0170356
1586323
22782321
35001321

prune114.0ms

Filtered
58 candidates to 46 candidates (79.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh000
Picked011
Done011
Total58260

Merged error: 0b

Counts
60 → 2

regimes38.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 1.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02226
12226

end0.0ms

sample267.0ms

Algorithm
intervals
Results
177.0ms8000×body80valid