Details

Time bar (total: 2.4s)

analyze11.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14

sample23.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify661.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
079411
179411

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
23×add-sqr-sqrt
20×times-frac
13×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×add-exp-log associate-/r* add-cbrt-cube
2×pow1 associate-/r/ associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv
Counts
2 → 53
Calls
2 calls:
9.0ms
(/ (- 1.0 x) (+ 1.0 x))
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (- 1.0 x) (+ 1.0 x))
8.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify33.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05555675

prune126.0ms

Filtered
40 candidates to 59 candidates (-47.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New56359
Fresh000
Picked101
Done000
Total57360

Merged error: 0b

Counts
60 → 3

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(atan (sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
0.0b
(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
51×associate-*l*
46×times-frac
41×add-sqr-sqrt
25×distribute-lft-out
20×unpow-prod-down cube-prod
18×add-cube-cbrt
9×distribute-lft-out-- difference-of-squares
7×add-exp-log add-cbrt-cube
5×sum-cubes
4×pow1
3×flip3-+ associate-*r* flip-+
2×frac-times associate-*r/ prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
1×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
2 → 83
Calls
2 calls:
1.0ms
(atan (sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
28.0ms
(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(atan (sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
7.0ms
(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify40.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
051332031

prune189.0ms

Filtered
55 candidates to 89 candidates (-61.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New89089
Fresh022
Picked011
Done000
Total89392

Merged error: 0b

Counts
92 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (+ 1.0 x))
0.0b
(cbrt (+ 1.0 x))
0.0b
(cbrt (+ 1.0 x))
0.0b
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

rewrite23.0ms

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 (+ 1.0 x))
3.0ms
(cbrt (+ 1.0 x))
3.0ms
(cbrt (+ 1.0 x))
11.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 x))
6.0ms
(cbrt (+ 1.0 x))
6.0ms
(cbrt (+ 1.0 x))
13.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

simplify61.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050191037

prune228.0ms

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done011
Total1073110

Merged error: 0b

Counts
110 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.0b
(cbrt (- 1.0 x))
0.0b
(cbrt (- 1.0 x))
0.0b
(cbrt (- 1.0 x))

rewrite24.0ms

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 (- 1.0 x)) (cbrt (- 1.0 x)))
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))

series28.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
6.0ms
(cbrt (- 1.0 x))
6.0ms
(cbrt (- 1.0 x))
9.0ms
(cbrt (- 1.0 x))

simplify68.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
048601140
148601140

prune232.0ms

Filtered
77 candidates to 113 candidates (-46.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done022
Total1133116

Merged error: 0b

Counts
116 → 3

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010227
110227

end0.0ms

sample502.0ms

Algorithm
intervals
Results
402.0ms8000×body80valid

Profiling

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