Details

Time bar (total: 4.0s)

sample64.0ms

Algorithm
intervals
Results
30.0ms108×body1280valid
11.0ms71×body640valid
7.0ms284×body80valid
4.0ms36×body320valid
2.0ms29×body160valid

simplify227.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61085
72675
813425
950015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 56.8b

localize10.0ms

Local error

Found 1 expressions with local error:

7.6b
(- (exp x) (exp (- x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
9×prod-diff
8×add-cube-cbrt
3×fma-neg add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
Counts
1 → 28
Calls
1 calls:
8.0ms
(- (exp x) (exp (- x)))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(- (exp x) (exp (- x)))

simplify116.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0158354
1416228
22421226
35002203

prune67.0ms

Filtered
31 candidates to 18 candidates (58.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify31.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04989
115078
286278
3500178

prune41.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.1b
(pow (exp x) -2)
0.2b
(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
7.5b
(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
17×add-sqr-sqrt add-cube-cbrt
12×times-frac
6×add-exp-log add-cbrt-cube add-log-exp
5×pow1 distribute-lft-out
4×expm1-log1p-u pow-pow associate-/r* log1p-expm1-u
3×unpow-prod-down pow-unpow exp-prod fma-def associate-/l*
2×flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative pow-to-exp frac-2neg div-exp pow-exp clear-num sum-log fma-udef div-inv sqr-pow
Counts
4 → 84
Calls
4 calls:
6.0ms
(+ (exp x) (exp (- x)))
2.0ms
(pow (exp x) -2)
10.0ms
(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
0.0ms
(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

series223.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (exp x) (exp (- x)))
23.0ms
(pow (exp x) -2)
108.0ms
(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
70.0ms
(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0328934
11277846
25002813

prune287.0ms

Filtered
96 candidates to 74 candidates (77.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (exp x) -2)
0.2b
(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
7.5b
(fma (- 1) (pow (exp x) -2) (exp (+ x x)))
7.5b
(log (exp (/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
25×add-sqr-sqrt add-cube-cbrt
24×times-frac
21×exp-prod
19×log-pow
7×distribute-lft-out
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u pow-pow associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow log-prod associate-/l*
2×flip3-+ flip-+ div-inv
1×cbrt-undiv pow-to-exp frac-2neg div-exp rem-log-exp pow-exp clear-num fma-udef sqr-pow
Counts
4 → 99
Calls
4 calls:
2.0ms
(pow (exp x) -2)
11.0ms
(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
0.0ms
(fma (- 1) (pow (exp x) -2) (exp (+ x x)))
24.0ms
(log (exp (/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))))

series314.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(pow (exp x) -2)
116.0ms
(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
71.0ms
(fma (- 1) (pow (exp x) -2) (exp (+ x x)))
109.0ms
(log (exp (/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))))

simplify44.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03421302
111791194
250011157

prune367.0ms

Filtered
111 candidates to 84 candidates (75.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample1.9s

Algorithm
intervals
Results
931.0ms3318×body1280valid
410.0ms2507×body640valid
193.0ms8098×body80valid
125.0ms1239×body320valid
39.0ms647×body160valid