Details

Time bar (total: 3.2s)

sample20.0ms

Algorithm
intervals
Results
7.0ms71×body640valid
3.0ms113×body80valid
3.0ms40×body320valid
2.0ms32×body160valid

simplify9.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.4b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
6.4b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite54.0ms

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))
24.0ms
(- (/ 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))

simplify111.0ms

Algorithm
egg-herbie
Counts
320 → 320
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
08736795
126454746
250013686

prune196.0ms

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: 0.8b

Counts
321 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.1b
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
5.6b
(- x (+ x 1.0))

rewrite32.0ms

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)
17.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

series88.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* (+ x 1.0) x)
34.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0402611
12289439
25001426

prune119.0ms

Filtered
93 candidates to 59 candidates (63.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New88593
Fresh303
Picked101
Done000
Total92597

Merged error: 0.0b

Counts
97 → 5

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)

rewrite79.0ms

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)))
24.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series66.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
42.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify94.0ms

Algorithm
egg-herbie
Counts
484 → 484
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015965690
150025510

prune755.0ms

Filtered
484 candidates to 321 candidates (66.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4813484
Fresh134
Picked011
Done000
Total4827489

Merged error: 0b

Counts
489 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
10.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))

series385.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
91.0ms
(cbrt (+ x 1.0))
90.0ms
(cbrt (+ x 1.0))
91.0ms
(cbrt (+ x 1.0))

simplify156.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (146.0ms)

IterNodesCost
0321818
11064769
24750694
35001688

prune247.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh055
Picked011
Done011
Total1157122

Merged error: 0b

Counts
122 → 7

regimes25.0ms

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

sample514.0ms

Algorithm
intervals
Results
190.0ms1952×body640valid
106.0ms4183×body80valid
91.0ms1267×body320valid
29.0ms598×body160valid

Profiling

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