Details

Time bar (total: 1.3s)

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

sample18.0ms

Algorithm
intervals
Results
6.0ms66×body640valid
3.0ms138×body80valid
2.0ms33×body320valid
1.0ms19×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: 12.5b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.7b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite23.0ms

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:
5.0ms
(/ 1.0 (+ x 1.0))
16.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1.0 (+ x 1.0))
4.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify42.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05088709

prune83.0ms

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: 0.2b

Counts
64 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×associate-*r/ associate-/r/
1×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity flip3-+ times-frac distribute-frac-neg clear-num associate-/r* distribute-rgt-neg-out flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
8.0ms
(/ (* 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)))

simplify20.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
05451311

prune37.0ms

Filtered
18 candidates to 27 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh000
Picked011
Done101
Total25429

Merged error: 0.0b

Counts
29 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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×prod-exp associate-/r/ cbrt-unprod distribute-lft-out
1×pow1 frac-2neg flip3-+ distribute-frac-neg associate-*l/ clear-num distribute-rgt-neg-out flip-+ div-inv associate-/l/ associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
9.0ms
(/ (* (/ 1.0 x) (neg 1.0)) (+ 1.0 x))

series3.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04969366
14969366

prune39.0ms

Filtered
22 candidates to 32 candidates (-45.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New32032
Fresh022
Picked011
Done011
Total32436

Merged error: 0.0b

Counts
36 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x)))) (cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x)))))
15.4b
(cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x))))
15.4b
(cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x))))
15.4b
(cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*r/ associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 82
Calls
4 calls:
8.0ms
(* (cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x)))) (cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x)))))
8.0ms
(cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x))))
8.0ms
(cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x))))
8.0ms
(cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x))))

series56.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x)))) (cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x)))))
12.0ms
(cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x))))
12.0ms
(cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x))))
15.0ms
(cbrt (* (/ 1.0 x) (/ (neg 1.0) (+ 1.0 x))))

simplify44.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050511568

prune222.0ms

Filtered
74 candidates to 94 candidates (-27.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New92294
Fresh011
Picked101
Done022
Total93598

Merged error: 0.0b

Counts
98 → 5

regimes38.0ms

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

sample497.0ms

Algorithm
intervals
Results
177.0ms1892×body640valid
105.0ms4265×body80valid
87.0ms1232×body320valid
33.0ms611×body160valid
0.0ms1×body80invalid

Profiling

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