Details

Time bar (total: 2.9s)

sample16.0ms

Algorithm
intervals
Results
4.0ms50×body640valid
3.0ms144×body80valid
2.0ms44×body320valid
1.0ms18×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1124
2124

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.1b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite92.0ms

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:
6.0ms
(/ 1.0 (+ x 1.0))
61.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series88.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ 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 (60.0ms)

IterNodesCost
08736795
126454746
250013686

prune224.0ms

Filtered
320 candidates to 82 candidates (25.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

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))
1.9b
(- x (+ x 1.0))

rewrite56.0ms

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:
11.0ms
(* (+ x 1.0) x)
31.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
11.0ms
(- x (+ x 1.0))

series90.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* (+ x 1.0) x)
36.0ms
(/ (* 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

prune144.0ms

Filtered
93 candidates to 59 candidates (63.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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)

rewrite105.0ms

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:
15.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
43.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series63.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
38.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify91.0ms

Algorithm
egg-herbie
Counts
484 → 484
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015965690
150025510

prune907.0ms

Filtered
484 candidates to 320 candidates (66.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
34×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt
13×add-exp-log add-cbrt-cube
11×associate-/r*
9×associate-/r/
5×cbrt-undiv div-exp div-inv
4×pow1 flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
3×associate-*l* associate-/l*
2×expm1-log1p-u associate-*r/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ pow-prod-down clear-num *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 91
Calls
2 calls:
11.0ms
(* x (+ x 1.0))
12.0ms
(/ 1.0 (/ (* x (+ x 1.0)) (- 0 1.0)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* x (+ x 1.0))
42.0ms
(/ 1.0 (/ (* x (+ x 1.0)) (- 0 1.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0480711
12725638
25001635

prune176.0ms

Filtered
97 candidates to 73 candidates (75.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes17.0ms

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

sample411.0ms

Algorithm
intervals
Results
136.0ms1971×body640valid
83.0ms4116×body80valid
70.0ms1278×body320valid
28.0ms635×body160valid