Details

Time bar (total: 3.1s)

sample17.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
12.0ms
(/ (+ x 1.0) (- 1.0 x))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify86.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0214315
1711297
22979293
35001292

prune85.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))
0.0b
(log (exp (/ (+ x 1.0) (- 1.0 x))))
0.0b
(exp (/ (+ x 1.0) (- 1.0 x)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 associate-/l* add-log-exp
3×expm1-log1p-u log-prod flip3-- flip-- log1p-expm1-u div-inv
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 123
Calls
3 calls:
12.0ms
(/ (+ x 1.0) (- 1.0 x))
25.0ms
(log (exp (/ (+ x 1.0) (- 1.0 x))))
21.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))

series151.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (+ x 1.0) (- 1.0 x))
31.0ms
(log (exp (/ (+ x 1.0) (- 1.0 x))))
87.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))

simplify105.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0324752
1933705
23664694
35001685

prune254.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 x) (- x 1.0))
0.0b
(log (exp (/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))))
0.0b
(exp (/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0))))
13.7b
(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
32×exp-prod
31×add-sqr-sqrt
29×*-un-lft-identity
25×add-cube-cbrt flip3-- flip--
24×associate-/r/
18×prod-diff
17×log-pow
16×frac-times
12×times-frac
11×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
8×associate-*r/ associate-*l/
7×pow1
6×difference-of-squares
5×associate-*r* associate-*l* add-log-exp
4×expm1-log1p-u log1p-expm1-u associate-/l*
3×log-prod div-sub div-inv
2×cbrt-undiv sub-neg exp-diff div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out--
1×log-div frac-2neg rem-log-exp pow-prod-down clear-num associate-/r* *-commutative rem-exp-log unswap-sqr
Counts
4 → 148
Calls
4 calls:
21.0ms
(* (- 1.0 x) (- x 1.0))
22.0ms
(log (exp (/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))))
18.0ms
(exp (/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0))))
15.0ms
(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

series276.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (- 1.0 x) (- x 1.0))
63.0ms
(log (exp (/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))))
122.0ms
(exp (/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0))))
64.0ms
(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

simplify89.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06081486
129621197
250011156

prune369.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* 1.0 x))
5.4b
(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
13.8b
(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
286×add-sqr-sqrt
257×*-un-lft-identity
201×times-frac
144×difference-of-squares
108×unpow-prod-down cube-prod
106×associate-*l*
72×sqr-pow
65×add-cube-cbrt
51×distribute-lft-out
45×distribute-lft-out--
25×associate-/r*
10×add-exp-log add-cbrt-cube
9×difference-cubes
5×pow1 add-log-exp
4×flip3-+ associate-/r/ flip-+ associate-/l*
3×expm1-log1p-u associate-*r* log1p-expm1-u
2×cbrt-undiv frac-times flip3-- associate-*r/ div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in distribute-rgt-out fma-def frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
3 → 295
Calls
3 calls:
3.0ms
(+ (* x x) (* 1.0 x))
38.0ms
(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
119.0ms
(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series162.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ (* x x) (* 1.0 x))
46.0ms
(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
65.0ms
(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify64.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010893196
150013094

prune575.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

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
085
185

end0.0ms

sample437.0ms

Algorithm
intervals
Results
345.0ms8000×body80valid