Details

Time bar (total: 1.4s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
62.5%37.5%0%4
81.2%18.7%0%5
90.6%9.4%0%6
95.3%4.7%0%7
97.6%2.3%0%8
98.8%1.2%0%9
99.4%0.6%0%10
99.7%0.3%0%11
99.8%0.1%0%12
99.9%0.1%0%13
99.9%0%0%14

sample17.0ms

Algorithm
intervals
Results
5.0ms56×body640valid
3.0ms52×body320valid
3.0ms133×body80valid
1.0ms15×body160valid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04979
14979

prune4.0ms

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: 12.3b

Counts
2 → 1

localize6.0ms

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))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
8×distribute-lft-out--
7×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×div-inv associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 57
Calls
2 calls:
9.0ms
(/ 1.0 (+ x 1.0))
17.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series6.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ 1.0 (+ x 1.0))
4.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify43.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05088709

prune82.0ms

Filtered
49 candidates to 63 candidates (-28.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New62163
Fresh000
Picked011
Done000
Total62264

Merged error: 0.1b

Counts
64 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ 1.0 x))
0.1b
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*r*
3×associate-*l*
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×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:
6.0ms
(* x (+ 1.0 x))
8.0ms
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ 1.0 x))
3.0ms
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

simplify22.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
05052474

prune54.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New51253
Fresh000
Picked011
Done011
Total51455

Merged error: 0.0b

Counts
55 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×*-un-lft-identity
4×cbrt-undiv times-frac div-exp associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×distribute-frac-neg prod-exp associate-/r/ cbrt-unprod distribute-lft-out
1×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:
10.0ms
(/ (* 1.0 (/ (neg 1.0) x)) (+ 1.0 x))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(/ (* 1.0 (/ (neg 1.0) x)) (+ 1.0 x))

simplify35.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05427368

prune37.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New31132
Fresh011
Picked011
Done112
Total32436

Merged error: 0.0b

Counts
36 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
79×add-sqr-sqrt *-un-lft-identity
59×add-cube-cbrt
42×sqrt-prod
36×add-exp-log add-cbrt-cube
34×associate-*r*
27×associate-*l*
14×cbrt-undiv div-exp associate-/r*
10×distribute-lft-out
9×distribute-lft-neg-in distribute-rgt-neg-in
8×sqrt-div prod-exp cbrt-unprod
7×pow1
6×associate-/r/ unswap-sqr
4×flip3-+ flip-+ div-inv associate-/l* add-log-exp
3×neg-mul-1 distribute-frac-neg associate-/l/
2×frac-times frac-2neg associate-*r/ associate-*l/ clear-num distribute-rgt-neg-out
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down *-commutative
Counts
4 → 190
Calls
4 calls:
3.0ms
(sqrt (+ 1.0 x))
15.0ms
(/ (* (/ 1.0 (sqrt (+ 1.0 x))) (/ (neg 1.0) x)) (sqrt (+ 1.0 x)))
25.0ms
(* (/ 1.0 (sqrt (+ 1.0 x))) (/ (neg 1.0) x))
6.0ms
(/ 1.0 (sqrt (+ 1.0 x)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ 1.0 x))
3.0ms
(/ (* (/ 1.0 (sqrt (+ 1.0 x))) (/ (neg 1.0) x)) (sqrt (+ 1.0 x)))
10.0ms
(* (/ 1.0 (sqrt (+ 1.0 x))) (/ (neg 1.0) x))
9.0ms
(/ 1.0 (sqrt (+ 1.0 x)))

simplify61.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050022657

prune320.0ms

Filtered
135 candidates to 202 candidates (-49.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2011202
Fresh011
Picked011
Done022
Total2015206

Merged error: 0b

Counts
206 → 5

regimes31.0ms

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 (1.0ms)

IterNodesCost
04010
14010

end0.0ms

sample480.0ms

Algorithm
intervals
Results
171.0ms1857×body640valid
101.0ms4240×body80valid
89.0ms1287×body320valid
31.0ms616×body160valid
0.0ms2×body80invalid

Profiling

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