Details

Time bar (total: 1.3s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
047728
147728

prune3.0ms

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
(/ 2.0 (+ (exp x) (exp (neg x))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
15×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×associate-/r*
4×cosh-undef distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 37
Calls
1 calls:
6.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

simplify57.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04904466
14904466

prune47.0ms

Filtered
29 candidates to 40 candidates (-37.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New38240
Fresh000
Picked101
Done000
Total39241

Merged error: 0b

Counts
41 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))))
0.0b
(/ 2.0 (+ (exp x) (exp (neg x))))
0.0b
(/ 2.0 (+ (exp x) (exp (neg x))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
110×sqrt-prod
108×times-frac
95×add-sqr-sqrt
67×add-cube-cbrt
32×swap-sqr
26×distribute-lft-out
24×associate-*r* associate-*l*
20×cosh-undef
18×pow1
12×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube unswap-sqr
8×sqrt-pow1 pow1/2
6×flip3-+ flip-+ div-inv associate-/l*
5×pow-prod-up
4×sqrt-div
3×pow-prod-down pow-sqr add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 191
Calls
3 calls:
28.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))))
7.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
7.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

series30.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))))
8.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
8.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

simplify85.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049532631
149532631

prune218.0ms

Filtered
124 candidates to 200 candidates (-61.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2000200
Fresh011
Picked011
Done000
Total2002202

Merged error: 0b

Counts
202 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sqrt 2.0) (cosh x))
0.5b
(* (/ (sqrt 2.0) 2) (/ (sqrt 2.0) (cosh x)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt
66×times-frac
43×add-cube-cbrt *-un-lft-identity
36×sqrt-prod
23×associate-*r*
22×associate-*l*
16×add-exp-log add-cbrt-cube
9×unswap-sqr
6×associate-/l*
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-/r* div-inv
2×cosh-def associate-/r/ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 114
Calls
2 calls:
4.0ms
(/ (sqrt 2.0) (cosh x))
18.0ms
(* (/ (sqrt 2.0) 2) (/ (sqrt 2.0) (cosh x)))

series37.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(/ (sqrt 2.0) (cosh x))
24.0ms
(* (/ (sqrt 2.0) 2) (/ (sqrt 2.0) (cosh x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049481204
149481204

prune151.0ms

Filtered
81 candidates to 120 candidates (-48.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done011
Total1202122

Merged error: 0b

Counts
122 → 2

regimes79.0ms

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
01719
11719

end0.0ms

sample367.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid

Profiling

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