Details

Time bar (total: 2.7s)

sample42.0ms

Algorithm
intervals
Results
14.0ms72×body640valid
7.0ms126×body80valid
6.0ms38×body320valid
2.0ms20×body160valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04979
14979

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 13.2b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.0b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
distribute-lft-out--
distribute-lft-out
add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
div-inv associate-/l*
pow1 associate-/r/
cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 58
Calls
2 calls:
9.0ms
(/ 1.0 (+ x 1.0))
29.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 1.0 (+ x 1.0))
7.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify93.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
05088713

prune180.0ms

Filtered
49 candidates to 64 candidates (-30.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New62264
Fresh000
Picked101
Done000
Total63265

Merged error: 0.2b

Counts
65 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ 1.0 x))
0.2b
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
prod-exp cbrt-unprod
pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*r*
associate-*l*
flip3-+ associate-/r/ flip-+ add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in times-frac distribute-frac-neg pow-prod-down clear-num associate-/r* *-commutative distribute-rgt-neg-out div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 47
Calls
2 calls:
11.0ms
(* x (+ 1.0 x))
16.0ms
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* x (+ 1.0 x))
5.0ms
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05052474

prune119.0ms

Filtered
34 candidates to 53 candidates (-55.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New51253
Fresh011
Picked011
Done000
Total51455

Merged error: 0.0b

Counts
55 → 4

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (* 1.0 (/ (neg 1.0) x)) (+ 1.0 x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
*-un-lft-identity
cbrt-undiv times-frac div-exp associate-/r*
add-sqr-sqrt add-cube-cbrt
distribute-frac-neg prod-exp associate-/r/ cbrt-unprod distribute-lft-out
pow1 frac-2neg flip3-+ associate-*r/ clear-num distribute-rgt-neg-out flip-+ div-inv associate-/l/ associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
23.0ms
(/ (* 1.0 (/ (neg 1.0) x)) (+ 1.0 x))

series7.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/ (* 1.0 (/ (neg 1.0) x)) (+ 1.0 x))

simplify77.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05427368

prune81.0ms

Filtered
21 candidates to 32 candidates (-52.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New30232
Fresh112
Picked011
Done011
Total31536

Merged error: 0.0b

Counts
36 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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
flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
22.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
7.0ms
(cbrt (+ 1.0 x))
7.0ms
(cbrt (+ 1.0 x))
6.0ms
(cbrt (+ 1.0 x))

series46.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
10.0ms
(cbrt (+ 1.0 x))
11.0ms
(cbrt (+ 1.0 x))
12.0ms
(cbrt (+ 1.0 x))

simplify138.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (119.0ms)

IterNodesCost
052251033

prune408.0ms

Filtered
71 candidates to 107 candidates (-50.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1052107
Fresh022
Picked011
Done022
Total1057112

Merged error: 0.0b

Counts
112 → 7

regimes91.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04010
14010

end0.0ms

sample1.0s

Algorithm
intervals
Results
347.0ms1872×body640valid
214.0ms4293×body80valid
171.0ms1234×body320valid
56.0ms604×body160valid

Profiling

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