Details

Time bar (total: 8.1s)

sample433.0ms

Algorithm
intervals
Results
157.0ms54×body2560valid
47.0ms73×body1280valid
17.0ms64×body640valid
6.0ms35×body320valid
2.0ms17×body160valid
1.0ms13×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1175
2195
3195

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.5b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x (sin x)) (- x (tan x)))
1.5b
(- 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))

series40.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (- x (sin x)) (- x (tan x)))
13.0ms
(- x (tan x))
13.0ms
(- x (sin x))

simplify155.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0363718
11148684
24781684
35001684

prune93.0ms

Filtered
89 candidates to 63 candidates (29.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New86389
Fresh000
Picked101
Done000
Total87390

Merged error: 0b

Counts
90 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sin x) (- x (tan x)))
1.4b
(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
1.5b
(- x (tan x))
1.5b
(- x (tan x))

rewrite45.0ms

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)))
29.0ms
(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
3.0ms
(- x (tan x))
3.0ms
(- x (tan x))

series66.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ (sin x) (- x (tan x)))
34.0ms
(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
10.0ms
(- x (tan x))
10.0ms
(- x (tan x))

simplify39.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0376909
11205870
25001870

prune90.0ms

Filtered
106 candidates to 80 candidates (24.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1060106
Fresh022
Picked011
Done000
Total1063109

Merged error: 0b

Counts
109 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 9/40 (pow x 2))
0.2b
(* 27/2800 (pow x 4))
13.8b
(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

rewrite21.0ms

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
(* 9/40 (pow x 2))
5.0ms
(* 27/2800 (pow x 4))
9.0ms
(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

series12.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* 9/40 (pow x 2))
4.0ms
(* 27/2800 (pow x 4))
5.0ms
(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

simplify40.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0273349
11123316
25002313

prune100.0ms

Filtered
75 candidates to 46 candidates (38.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh011
Picked011
Done011
Total75378

Merged error: 0b

Counts
78 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- x (sin x)) (sqrt (- x (tan x))))
1.5b
(- x (tan x))
1.5b
(- x (tan x))
1.6b
(- x (sin x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt *-un-lft-identity
40×times-frac
30×sqrt-prod
25×add-cube-cbrt
18×distribute-lft-out-- difference-of-squares
10×add-log-exp
8×associate-/r*
6×add-exp-log add-cbrt-cube
5×flip3-- flip-- associate-/l*
4×pow1
3×sub-neg diff-log
2×sqrt-div associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
4 → 112
Calls
4 calls:
9.0ms
(/ (- x (sin x)) (sqrt (- x (tan x))))
3.0ms
(- x (tan x))
3.0ms
(- x (tan x))
4.0ms
(- x (sin x))

series53.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (- x (sin x)) (sqrt (- x (tan x))))
10.0ms
(- x (tan x))
10.0ms
(- x (tan x))
5.0ms
(- x (sin x))

simplify51.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05291182
118751127
250021098

prune97.0ms

Filtered
124 candidates to 82 candidates (33.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done022
Total1243127

Merged error: 0b

Counts
127 → 3

regimes41.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.4b

bsearch41.0ms

Steps
ItersRangePoint
9
0.00021166572504141735
1495.4209016812965
0.028340216393681443
10
-249197998.3190651
-3.6532051617239265e-06
-0.03044522579206205

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03014
13014

end0.0ms

sample6.6s

Algorithm
intervals
Results
4.1s1610×body2560valid
1.6s2796×body1280valid
486.0ms1903×body640valid
142.0ms858×body320valid
56.0ms469×body160valid
26.0ms364×body80valid

Profiling

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