Details

Time bar (total: 2.4s)

sample18.0ms

Algorithm
intervals
Results
5.0ms61×body640valid
3.0ms144×body80valid
2.0ms31×body320valid
1.0ms20×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1124
2124

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.8b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.5b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite56.0ms

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))
27.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series83.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (+ x 1.0))
58.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify112.0ms

Algorithm
egg-herbie
Counts
320 → 320
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
08736795
126454746
250013686

prune194.0ms

Filtered
320 candidates to 82 candidates (25.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3164320
Fresh000
Picked101
Done000
Total3174321

Merged error: 0.5b

Counts
321 → 4

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))
2.0b
(- x (+ x 1.0))

rewrite29.0ms

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:
6.0ms
(* (+ x 1.0) x)
14.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
6.0ms
(- x (+ x 1.0))

series84.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* (+ x 1.0) x)
37.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0402611
12289439
25001426

prune108.0ms

Filtered
93 candidates to 59 candidates (63.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New90393
Fresh303
Picked101
Done000
Total94397

Merged error: 0.0b

Counts
97 → 3

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)

rewrite81.0ms

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:
11.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
26.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series58.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
35.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify95.0ms

Algorithm
egg-herbie
Counts
484 → 484
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
015965724
150015527

prune706.0ms

Filtered
484 candidates to 321 candidates (66.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4822484
Fresh112
Picked011
Done000
Total4834487

Merged error: 0b

Counts
487 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.5b
(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt times-frac associate-/r*
4×pow1 associate-*l* associate-*l/
3×associate-*r*
2×cbrt-undiv distribute-lft-neg-in expm1-log1p-u neg-mul-1 distribute-rgt-neg-in flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ log1p-expm1-u distribute-neg-frac add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 54
Calls
2 calls:
6.0ms
(* (+ x 1.0) x)
6.0ms
(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* (+ x 1.0) x)
39.0ms
(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0291326
11577286
25001285

prune78.0ms

Filtered
60 candidates to 45 candidates (75.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New59160
Fresh112
Picked011
Done011
Total60464

Merged error: 0b

Counts
64 → 4

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

sample469.0ms

Algorithm
intervals
Results
168.0ms1950×body640valid
102.0ms4190×body80valid
82.0ms1231×body320valid
28.0ms631×body160valid