Details

Time bar (total: 3.0s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14

sample20.0ms

Algorithm
intervals
Results
6.0ms59×body640valid
4.0ms138×body80valid
3.0ms36×body320valid
1.0ms23×body160valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
065016
165016

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
2.9b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
55×times-frac
50×add-sqr-sqrt
30×add-cube-cbrt
25×distribute-lft-out--
10×distribute-lft-out
9×associate-/r*
8×difference-of-squares
7×add-exp-log add-cbrt-cube
6×associate-/r/ associate-/l*
5×add-log-exp
4×div-inv
3×pow1 flip--
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-+
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 101
Calls
3 calls:
5.0ms
(/ 1.0 (+ x 1.0))
6.0ms
(/ 1.0 (- x 1.0))
33.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series12.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1.0 (+ x 1.0))
2.0ms
(/ 1.0 (- x 1.0))
7.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify103.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
048971872
148971872

prune215.0ms

Filtered
80 candidates to 110 candidates (-37.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh000
Picked011
Done000
Total1092111

Merged error: 0.2b

Counts
111 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ 1.0 x) (- x 1.0))
0.2b
(/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
10×prod-exp cbrt-unprod
8×add-sqr-sqrt frac-times *-un-lft-identity associate-/r/
6×cbrt-undiv flip3-- flip3-+ div-exp flip-- flip-+
5×associate-*r*
4×pow1 add-cube-cbrt associate-*r/ associate-*l* associate-*l/
2×sub-neg add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 64
Calls
2 calls:
9.0ms
(* (+ 1.0 x) (- x 1.0))
13.0ms
(/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* (+ 1.0 x) (- x 1.0))
6.0ms
(/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
053671359

prune130.0ms

Filtered
47 candidates to 70 candidates (-48.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New67370
Fresh000
Picked011
Done011
Total67572

Merged error: 0b

Counts
72 → 5

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ 1.0 x))
0.1b
(/ (* (* 1.0 -2) (/ 1.0 (+ 1.0 x))) (- x 1.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
22×add-exp-log add-cbrt-cube
17×add-sqr-sqrt times-frac
13×add-cube-cbrt
9×associate-/r*
8×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×associate-/r/ distribute-lft-out associate-/l*
2×pow1 frac-2neg clear-num div-inv distribute-lft-out-- add-log-exp difference-of-squares
1×flip3-- flip3-+ associate-*r/ flip-- flip-+ associate-/l/
Counts
2 → 67
Calls
2 calls:
9.0ms
(/ 1.0 (+ 1.0 x))
20.0ms
(/ (* (* 1.0 -2) (/ 1.0 (+ 1.0 x))) (- x 1.0))

series11.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ 1.0 (+ 1.0 x))
8.0ms
(/ (* (* 1.0 -2) (/ 1.0 (+ 1.0 x))) (- x 1.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049851283
149851283

prune115.0ms

Filtered
50 candidates to 73 candidates (-46.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh022
Picked011
Done022
Total73578

Merged error: 0b

Counts
78 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0)))) (cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0)))))
16.0b
(cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0))))
16.0b
(cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0))))
16.0b
(cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
95×cbrt-prod
56×associate-/r/
29×frac-times
23×add-sqr-sqrt
21×flip3-- flip3-+ flip-- flip-+
16×swap-sqr associate-*r* associate-*l*
15×add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l/
11×pow1
9×pow1/3
7×cbrt-div times-frac div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 139
Calls
4 calls:
26.0ms
(* (cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0)))) (cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0)))))
16.0ms
(cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0))))
16.0ms
(cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0))))
10.0ms
(cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0))))

series146.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0)))) (cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0)))))
38.0ms
(cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0))))
33.0ms
(cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0))))
34.0ms
(cbrt (/ (* 1.0 (* 1.0 -2)) (* (+ 1.0 x) (- x 1.0))))

simplify113.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050466371

prune859.0ms

Filtered
134 candidates to 151 candidates (-12.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1510151
Fresh011
Picked011
Done033
Total1515156

Merged error: 0b

Counts
156 → 5

regimes76.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02319
12319

end0.0ms

sample746.0ms

Algorithm
intervals
Results
278.0ms1960×body640valid
165.0ms4213×body80valid
137.0ms1214×body320valid
43.0ms613×body160valid

Profiling

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