Details

Time bar (total: 2.3s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify213.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5405
6615
71505
810405
950025

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)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
5.0ms
(+ (exp x) (exp (- x)))

series64.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
22.0ms
(+ (exp x) (exp (- x)))

simplify134.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0191411
1633377
23009375
35001374

prune104.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

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)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
48×*-un-lft-identity
36×times-frac
28×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
6×associate-/r/ add-log-exp
4×pow1 add-exp-log flip3-+ add-cbrt-cube flip-+
3×cbrt-div pow1/3 div-inv
1×+-commutative sum-log
Counts
4 → 93
Calls
4 calls:
5.0ms
(+ (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)))))

series566.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (exp x) (exp (- x)))
179.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
177.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
183.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify119.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
02221207
16591150
230851128
350011128

prune314.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
0.0b
(/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))
0.1b
(* 1/12 (pow x 4))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
20×add-sqr-sqrt
15×add-cube-cbrt
12×times-frac
10×add-exp-log
8×add-log-exp
7×associate-*r* add-cbrt-cube
5×distribute-lft-out
4×unpow-prod-down associate-/r*
3×pow1 associate-*l* prod-exp sum-log associate-/l* unswap-sqr
2×flip3-+ associate-/r/ flip-+ sqr-pow
1×cbrt-undiv +-commutative pow-to-exp associate-+r+ frac-2neg div-exp pow-exp clear-num *-commutative cbrt-unprod div-inv
Counts
3 → 72
Calls
3 calls:
12.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
21.0ms
(/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))
5.0ms
(* 1/12 (pow x 4))

series145.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
69.0ms
(/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))
39.0ms
(* 1/12 (pow x 4))

simplify43.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0315596
11332554
25002548

prune161.0ms

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
01220
11220

end0.0ms

sample253.0ms

Algorithm
intervals
Results
165.0ms8000×body80valid