Details

Time bar (total: 4.1s)

sample35.0ms

Algorithm
intervals
Results
11.0ms61×body640valid
9.0ms37×body320valid
8.0ms143×body80valid
1.0ms15×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1124
2124

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.3b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
362×*-un-lft-identity
358×times-frac
265×add-sqr-sqrt
253×add-cube-cbrt
234×prod-diff
49×distribute-lft-out
35×div-inv
30×associate-/r/
18×fma-neg
15×flip3-+ flip-+
8×distribute-lft-out--
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num frac-sub flip--
Counts
2 → 314
Calls
2 calls:
5.0ms
(/ 1.0 (+ x 1.0))
53.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series87.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (+ x 1.0))
62.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify108.0ms

Algorithm
egg-herbie
Counts
320 → 320
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
08736795
126454746
250013686

prune225.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.0b
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
1.5b
(- x (+ x 1.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
17×add-exp-log add-sqr-sqrt add-cbrt-cube
13×add-cube-cbrt
12×prod-diff
8×add-log-exp
5×pow1 prod-exp cbrt-unprod distribute-lft-out
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×expm1-log1p-u fma-neg associate-*r* log1p-expm1-u
2×flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg times-frac pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv associate-/l* associate--r+ difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
10.0ms
(* (+ x 1.0) x)
28.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
10.0ms
(- x (+ x 1.0))

series88.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* (+ x 1.0) x)
35.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0402611
12289439
25001426

prune140.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.1b
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
959×times-frac
669×*-un-lft-identity
509×add-sqr-sqrt
381×add-cube-cbrt
86×associate-/l*
80×distribute-lft-out
64×distribute-lft-out-- difference-of-squares
37×associate-/r/
29×associate-/r*
22×div-inv
16×add-exp-log flip3-- add-cbrt-cube flip--
9×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 478
Calls
2 calls:
14.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
39.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series68.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
43.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify93.0ms

Algorithm
egg-herbie
Counts
484 → 484
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015965690
150025510

prune894.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (pow x 4))
0.3b
(/ 1 (pow x 2))
0.3b
(/ 1 (pow x 3))
7.3b
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))

rewrite293.0ms

Algorithm
rewrite-expression-head
Rules
855×*-un-lft-identity
734×times-frac
447×add-sqr-sqrt
427×add-cube-cbrt
400×prod-diff
291×distribute-lft-out
187×div-inv
137×unpow-prod-down
113×cube-prod
47×sqr-pow
40×fma-neg
37×cube-mult unpow3
31×add-exp-log
27×associate-/r*
18×div-exp
13×distribute-lft-out--
10×add-cbrt-cube
9×pow-to-exp rec-exp 1-exp pow-exp associate-/l* add-log-exp difference-of-squares
4×pow1 expm1-log1p-u log1p-expm1-u unpow2
3×cbrt-undiv pow-flip frac-2neg clear-num frac-sub inv-pow
2×diff-log
1×sub-neg flip3-- flip3-+ frac-add sum-log flip-- flip-+ associate--r+
Counts
4 → 670
Calls
4 calls:
4.0ms
(/ 1 (pow x 4))
6.0ms
(/ 1 (pow x 2))
5.0ms
(/ 1 (pow x 3))
217.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))

series104.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ 1 (pow x 4))
16.0ms
(/ 1 (pow x 2))
31.0ms
(/ 1 (pow x 3))
24.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))

simplify214.0ms

Algorithm
egg-herbie
Counts
682 → 682
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
0107515204
142568324
250018292

prune471.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample920.0ms

Algorithm
intervals
Results
342.0ms1883×body640valid
249.0ms4277×body80valid
170.0ms1213×body320valid
61.0ms628×body160valid