Details

Time bar (total: 1.5s)

analyze3.0ms

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

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
07817
17817

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
8.0ms
(/ (+ x 1.0) (- 1.0 x))

series3.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05434556

prune67.0ms

Filtered
32 candidates to 48 candidates (-50.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New44448
Fresh000
Picked011
Done000
Total44549

Merged error: 0b

Counts
49 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))
0.0b
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
0.0b
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1 associate-/l*
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 185
Calls
3 calls:
8.0ms
(/ (+ x 1.0) (- 1.0 x))
11.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
10.0ms
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series9.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (+ x 1.0) (- 1.0 x))
3.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
4.0ms
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify45.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
050472579

prune165.0ms

Filtered
84 candidates to 194 candidates (-131.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh033
Picked011
Done011
Total1945199

Merged error: 0b

Counts
199 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.3b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite22.0ms

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
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
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 → 95
Calls
4 calls:
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))
10.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series25.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt (+ x 1.0))
7.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
052221033

prune170.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh022
Picked011
Done022
Total1075112

Merged error: 0b

Counts
112 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (+ x 1.0)) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))))
0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
78×*-un-lft-identity
64×times-frac
62×associate-*r*
57×cbrt-prod
40×add-cube-cbrt
39×sqrt-prod
12×distribute-lft-out
10×cbrt-div unswap-sqr
9×add-exp-log
7×associate-*l* distribute-lft-out-- difference-of-squares
6×pow1 add-cbrt-cube
5×flip3-+ flip-+
4×add-log-exp
3×pow1/3
2×frac-times sqrt-div associate-*l/ prod-exp associate-/r/ cbrt-unprod
1×cbrt-undiv flip3-- associate-*r/ div-exp pow-prod-down *-commutative flip-- div-inv
Counts
4 → 139
Calls
4 calls:
27.0ms
(* (cbrt (+ x 1.0)) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))

series38.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (cbrt (+ x 1.0)) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))))
6.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt (+ x 1.0))

simplify110.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
053632173

prune312.0ms

Filtered
93 candidates to 151 candidates (-62.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1510151
Fresh011
Picked011
Done033
Total1515156

Merged error: 0b

Counts
156 → 5

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0167
1167

end0.0ms

sample240.0ms

Algorithm
intervals
Results
152.0ms8000×body80valid

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