Details

Time bar (total: 4.0s)

sample17.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify215.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(/ 2.0 (+ (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:
6.0ms
(+ (exp x) (exp (- x)))
11.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series62.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (exp x) (exp (- x)))
40.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify128.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (120.0ms)

IterNodesCost
0200433
1666397
23139394
35001393

prune125.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
134×*-un-lft-identity
116×sqrt-prod
103×times-frac
101×add-sqr-sqrt
70×add-cube-cbrt
29×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
20×pow1
14×associate-/r/
10×add-exp-log add-cbrt-cube
9×sqrt-pow1 pow1/2 unswap-sqr
8×associate-/r*
7×flip3-+ flip-+ div-inv
6×associate-/l*
5×sqrt-div pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square 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
4 → 212
Calls
4 calls:
12.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
63.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
11.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
13.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series292.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
101.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
40.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify80.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04362288
120662131
250022089

prune491.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) 3))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(pow (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) 3)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
100×*-un-lft-identity
72×times-frac sqrt-prod
60×add-sqr-sqrt add-cube-cbrt
48×cbrt-prod
42×unpow-prod-down cube-prod
20×distribute-lft-out
12×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/r*
6×pow1 flip3-+ flip-+ div-inv associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-pow
2×cbrt-undiv cube-div cube-mult frac-2neg sqrt-div unpow3 div-exp clear-num sqr-pow
1×pow-to-exp cbrt-div sqrt-pow1 pow1/2 pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 195
Calls
4 calls:
16.0ms
(cbrt (pow (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) 3))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
18.0ms
(pow (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) 3)

series427.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (pow (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) 3))
37.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
241.0ms
(pow (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) 3)

simplify74.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06012247
121522120
250012086

prune459.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
5.4b
(sqrt (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2)))))
12.4b
(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))
15.3b
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
39×*-un-lft-identity
31×sqrt-prod
26×times-frac
25×add-cube-cbrt
21×associate-*l*
9×pow1
8×add-exp-log add-cbrt-cube
7×distribute-lft-out
6×associate-*r* unswap-sqr
4×expm1-log1p-u associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×sqrt-pow1 pow1/2 pow-prod-down associate-/l*
2×flip3-+ flip-+ div-inv
1×cbrt-undiv rem-sqrt-square frac-2neg sqrt-unprod sqrt-div div-exp associate-*l/ prod-exp clear-num *-commutative cbrt-unprod fma-udef
Counts
4 → 110
Calls
4 calls:
11.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
1.0ms
(sqrt (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2)))))
0.0ms
(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))
32.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))))

series377.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
110.0ms
(sqrt (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2)))))
44.0ms
(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))
186.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))))

simplify53.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05231510
118461434
250021428

prune437.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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
01013
11013

end0.0ms

sample444.0ms

Algorithm
intervals
Results
347.0ms8000×body80valid