Details

Time bar (total: 11.0s)

analyze1.4s

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%100%0%4
0%100%0%5
0%100%0%6
0%100%0%7
0%100%0%8
0%100%0%9
0%100%0%10
0%100%0%11
0%100%0%12
0%100%0%13
0.1%99.9%0%14

sample269.0ms

Algorithm
intervals
Results
164.0ms51×body2560valid
68.0ms93×body1280valid
18.0ms62×body640valid
6.0ms32×body320valid
1.0ms9×body160valid
1.0ms9×body80valid

simplify376.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1175
2195
3195

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x (sin x)) (- x (tan x)))
1.6b
(- x (tan x))
1.6b
(- x (sin x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt *-un-lft-identity
25×times-frac
15×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
7×add-log-exp
5×add-exp-log associate-/r* add-cbrt-cube associate-/l*
4×flip3-- flip--
3×pow1
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 80
Calls
3 calls:
8.0ms
(/ (- x (sin x)) (- x (tan x)))
3.0ms
(- x (tan x))
6.0ms
(- x (sin x))

series56.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (- x (sin x)) (- x (tan x)))
12.0ms
(- x (tan x))
13.0ms
(- x (sin x))

simplify147.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0363718
11148684
24781684
35001684

prune97.0ms

Filtered
63 candidates to 89 candidates (-41.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New83689
Fresh000
Picked101
Done000
Total84690

Merged error: 0.0b

Counts
90 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 27/2800 (pow x 4))
0.2b
(* 9/40 (pow x 2))
16.1b
(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
9×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down add-log-exp
7×add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
4×sqr-pow
3×pow1
2×pow-to-exp diff-log pow-exp *-commutative cbrt-unprod unpow2
1×sub-neg flip3-- sum-log flip-- associate--r+
Counts
3 → 66
Calls
3 calls:
5.0ms
(* 27/2800 (pow x 4))
5.0ms
(* 9/40 (pow x 2))
6.0ms
(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

series12.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* 27/2800 (pow x 4))
3.0ms
(* 9/40 (pow x 2))
6.0ms
(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

simplify41.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0273349
11123316
25001313

prune110.0ms

Filtered
46 candidates to 75 candidates (-63.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New75075
Fresh055
Picked011
Done000
Total75681

Merged error: 0.0b

Counts
81 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sin x) (- x (tan x)))
1.3b
(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
1.6b
(- x (tan x))
1.6b
(- x (tan x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
44×add-sqr-sqrt
33×times-frac
18×distribute-lft-out--
16×add-cube-cbrt
12×difference-of-squares
10×add-log-exp
6×add-exp-log flip3-- associate-/r/ add-cbrt-cube flip--
5×associate-/r*
4×pow1
3×sub-neg distribute-rgt-out-- diff-log div-inv associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
Counts
4 → 94
Calls
4 calls:
6.0ms
(/ (sin x) (- x (tan x)))
26.0ms
(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
3.0ms
(- x (tan x))
3.0ms
(- x (tan x))

series61.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (sin x) (- x (tan x)))
30.0ms
(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
10.0ms
(- x (tan x))
10.0ms
(- x (tan x))

simplify40.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0376909
11205870
25001870

prune93.0ms

Filtered
80 candidates to 106 candidates (-32.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1051106
Fresh224
Picked011
Done011
Total1075112

Merged error: 0.0b

Counts
112 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

1.6b
(- x (tan x))
1.6b
(- x (tan x))
1.6b
(- x (tan x))
1.6b
(- x (tan x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-log-exp
4×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
3.0ms
(- x (tan x))
3.0ms
(- x (tan x))
3.0ms
(- x (tan x))
3.0ms
(- x (tan x))

series41.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- x (tan x))
10.0ms
(- x (tan x))
12.0ms
(- x (tan x))
10.0ms
(- x (tan x))

simplify148.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
091324
1200300
2471300
31247300
44646300
55001300

prune65.0ms

Filtered
52 candidates to 68 candidates (-30.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh022
Picked011
Done022
Total68573

Merged error: 0.0b

Counts
73 → 5

regimes48.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.9b

bsearch62.0ms

Steps
ItersRangePoint
9
1.078165649953497e-07
0.09313558452719496
0.02540354285034092
10
-139.58390347091998
-6.259421649930253e-16
-0.02697282583902562

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03014
13014

end0.0ms

analyze1.1s

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%100%0%4
0%100%0%5
0%100%0%6
0%100%0%7
0%100%0%8
0%100%0%9
0%100%0%10
0%100%0%11
0%100%0%12
0%100%0%13
0.1%99.9%0%14

sample6.6s

Algorithm
intervals
Results
4.0s1577×body2560valid
1.7s2809×body1280valid
494.0ms1827×body640valid
176.0ms972×body320valid
58.0ms464×body160valid
32.0ms351×body80valid

Profiling

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