Details

Time bar (total: 11.4s)

sample319.0ms

Algorithm
intervals
Results
252.0ms111×body2560valid
40.0ms70×body1280valid
8.0ms41×body640valid
5.0ms256×pre80true
3.0ms22×body320valid
1.0ms10×body160valid
0.0ms2×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
1114
2114

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.7b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (tan x))
2.6b
(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
19×times-frac
12×add-cube-cbrt
5×distribute-lft-out--
4×add-exp-log add-cbrt-cube add-log-exp difference-of-squares
3×associate-/r* div-inv associate-/l*
2×pow1
1×tan-quot cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num associate-/r/ frac-sub flip--
Counts
2 → 50
Calls
2 calls:
4.0ms
(/ 1.0 (tan x))
13.0ms
(- (/ 1.0 x) (/ 1.0 (tan x)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ 1.0 (tan x))
101.0ms
(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0232342
1610327
21880327
35002326

prune105.0ms

Filtered
56 candidates to 46 candidates (82.1%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New55156
Fresh000
Picked101
Done000
Total56157

Merged error: 0.3b

Counts
57 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))
0.0b
(+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
0.0b
(* 0.0021164021164021165 (pow x 5))
0.1b
(* 0.022222222222222223 (pow x 3))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
11×add-cube-cbrt *-un-lft-identity add-log-exp
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 cube-prod sum-log sqr-pow
2×+-commutative pow-to-exp flip3-+ pow-exp *-commutative cbrt-unprod flip-+
1×cube-mult associate-+r+ unpow3
Counts
4 → 80
Calls
4 calls:
4.0ms
(+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))
7.0ms
(+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
5.0ms
(* 0.0021164021164021165 (pow x 5))
6.0ms
(* 0.022222222222222223 (pow x 3))

series276.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))
61.0ms
(+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
51.0ms
(* 0.0021164021164021165 (pow x 5))
35.0ms
(* 0.022222222222222223 (pow x 3))

simplify60.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0355465
11532436
25001436

prune172.0ms

Filtered
92 candidates to 59 candidates (64.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New88492
Fresh000
Picked011
Done000
Total88593

Merged error: 0.2b

Counts
93 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))) (cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))))
0.7b
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
0.7b
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
0.7b
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
22.0ms
(* (cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))) (cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))))
7.0ms
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
7.0ms
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
7.0ms
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))

series1.1s

Counts
4 → 12
Calls
4 calls:
294.0ms
(* (cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))) (cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))))
272.0ms
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
270.0ms
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
274.0ms
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))

simplify69.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04962207
119322080
250011862

prune371.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New91899
Fresh033
Picked011
Done011
Total9113104

Merged error: 0.2b

Counts
104 → 13

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
0.7b
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
0.7b
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
0.7b
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
7.0ms
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
7.0ms
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
7.0ms
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
7.0ms
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))

series1.1s

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
266.0ms
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
279.0ms
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
279.0ms
(cbrt (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))

simplify41.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
02751312
110201244
250011104

prune308.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New60464
Fresh01010
Picked011
Done022
Total601777

Merged error: 0.1b

Counts
77 → 17

regimes101.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1187

end0.0ms

sample7.0s

Algorithm
intervals
Results
5.1s3208×body2560valid
1.3s2444×body1280valid
254.0ms1341×body640valid
132.0ms8000×pre80true
76.0ms654×body320valid
24.0ms301×body160valid
2.0ms52×body80valid

Profiling

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