Details

Time bar (total: 7.8s)

sample418.0ms

Algorithm
intervals
Results
151.0ms56×body2560valid
49.0ms82×body1280valid
13.0ms52×body640valid
6.0ms33×body320valid
3.0ms13×body80valid
3.0ms20×body160valid

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: 31.2b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x (sin x)) (- x (tan x)))
1.3b
(- x (sin x))
1.3b
(- x (tan 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 (sin x))
6.0ms
(- x (tan x))

series40.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (- x (sin x)) (- x (tan x)))
5.0ms
(- x (sin x))
20.0ms
(- x (tan x))

simplify156.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0363718
11148684
24781684
35001684

prune92.0ms

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)))
1.0b
(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
1.3b
(- x (tan x))
1.3b
(- x (tan x))

rewrite44.0ms

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))

series68.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ (sin x) (- x (tan x)))
35.0ms
(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
10.0ms
(- x (tan x))
11.0ms
(- x (tan x))

simplify38.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (8.0ms)

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

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b
(- x (sin x))
1.3b
(- x (sin x))
1.3b
(- x (sin x))
1.3b
(- x (tan x))

rewrite17.0ms

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 (sin x))
3.0ms
(- x (sin x))
5.0ms
(- x (sin x))
3.0ms
(- x (tan x))

series25.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- x (sin x))
5.0ms
(- x (sin x))
5.0ms
(- x (sin x))
11.0ms
(- x (tan x))

simplify66.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0150309
1342288
2774288
32023288
45001288

prune86.0ms

Filtered
68 candidates to 49 candidates (27.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh011
Picked011
Done011
Total68371

Merged error: 0b

Counts
71 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 27/2800 (pow x 4))
0.4b
(* 9/40 (pow x 2))
13.3b
(- (* 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))

series13.0ms

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))

simplify43.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0273349
11123316
25001313

prune98.0ms

Filtered
75 candidates to 46 candidates (38.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh000
Picked011
Done022
Total75378

Merged error: 0b

Counts
78 → 3

regimes41.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.7b

bsearch41.0ms

Steps
ItersRangePoint
10
1.8861453929162526e-07
127140.91663662092
0.027844290097912085
10
-81569296.22560106
-6.097158829196934e-11
-0.03263941126818677

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03014
13014

end0.0ms

sample6.4s

Algorithm
intervals
Results
3.8s1590×body2560valid
1.6s2806×body1280valid
472.0ms1861×body640valid
156.0ms898×body320valid
59.0ms492×body160valid
25.0ms353×body80valid

Profiling

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