Details

Time bar (total: 1.7s)

analyze9.0ms

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

sample21.0ms

Algorithm
intervals
Results
7.0ms66×body640valid
5.0ms139×body80valid
2.0ms30×body320valid
1.0ms21×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0811
1811

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: 16.0b

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))
2.8b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite39.0ms

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))
5.0ms
(/ 1.0 (+ x 1.0))
24.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series14.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1.0 (- x 1.0))
2.0ms
(/ 1.0 (+ x 1.0))
10.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050471241

prune142.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1073110
Fresh000
Picked101
Done000
Total1083111

Merged error: 0.3b

Counts
111 → 3

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ difference-of-squares
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
13.0ms
(/ (* 1.0 (- (neg 1.0) 1.0)) (- (* x x) (* 1.0 1.0)))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/ (* 1.0 (- (neg 1.0) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify34.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05042447

prune56.0ms

Filtered
23 candidates to 30 candidates (-30.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New26430
Fresh202
Picked011
Done000
Total28533

Merged error: 0.0b

Counts
33 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
38×add-sqr-sqrt
30×times-frac
27×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×associate-*r*
12×associate-*l*
9×associate-/r*
7×distribute-lft-out
6×cbrt-undiv div-exp associate-/r/ distribute-lft-out--
5×pow1 flip3-- flip-- associate-/l/
4×frac-times distribute-rgt-out-- associate-*l/ prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in distribute-rgt-neg-in div-inv add-log-exp difference-of-squares
2×frac-2neg flip3-+ associate-*r/ clear-num flip-+ unswap-sqr
1×neg-mul-1 pow-prod-down *-commutative
Counts
3 → 117
Calls
3 calls:
16.0ms
(* (- (neg 1.0) 1.0) (/ 1.0 (+ 1.0 x)))
5.0ms
(/ 1.0 (+ 1.0 x))
15.0ms
(/ (* (- (neg 1.0) 1.0) (/ 1.0 (+ 1.0 x))) (- x 1.0))

series12.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* (- (neg 1.0) 1.0) (/ 1.0 (+ 1.0 x)))
2.0ms
(/ 1.0 (+ 1.0 x))
5.0ms
(/ (* (- (neg 1.0) 1.0) (/ 1.0 (+ 1.0 x))) (- x 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049511492
149511492

prune176.0ms

Filtered
90 candidates to 126 candidates (-40.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1233126
Fresh123
Picked011
Done011
Total1247131

Merged error: 0.0b

Counts
131 → 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))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube 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 → 101
Calls
4 calls:
11.0ms
(* (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))

series39.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
11.0ms
(cbrt (- x 1.0))
9.0ms
(cbrt (- x 1.0))
9.0ms
(cbrt (- x 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049491219
149491219

prune233.0ms

Filtered
86 candidates to 113 candidates (-31.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1121113
Fresh134
Picked011
Done112
Total1146120

Merged error: 0b

Counts
120 → 6

regimes42.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11014

end0.0ms

analyze3.0ms

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

sample578.0ms

Algorithm
intervals
Results
215.0ms1988×body640valid
125.0ms4155×body80valid
107.0ms1269×body320valid
32.0ms588×body160valid

Profiling

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