Details

Time bar (total: 4.7s)

sample106.0ms

Algorithm
intervals
Results
45.0ms31×body2560valid
24.0ms39×body1280valid
13.0ms36×body640valid
9.0ms125×body80valid
4.0ms17×body320valid
1.0ms8×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1137
2137

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.8b

localize10.0ms

Local error

Found 3 expressions with local error:

6.5b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.0b
(sin (/ x (* y 2.0)))
30.5b
(tan (/ x (* y 2.0)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l* add-log-exp
2×tan-quot
1×cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
3 → 43
Calls
3 calls:
4.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))

series85.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
37.0ms
(tan (/ x (* y 2.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0138457
1421413
21765413
35001413

prune170.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 27.7b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune29.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 27.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
6.5b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.0b
(sin (/ x (* y 2.0)))
30.5b
(tan (/ x (* y 2.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
13×unpow-prod-down cube-prod
9×add-exp-log add-cbrt-cube
5×pow1
4×add-log-exp
3×pow-unpow associate-/r* div-inv associate-/l*
2×tan-quot cbrt-undiv div-exp pow-exp rem-cube-cbrt
1×cube-div cube-mult pow-to-exp pow-pow frac-2neg unpow3 clear-num associate-/l/ sqr-pow
Counts
4 → 89
Calls
4 calls:
8.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
4.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))

series145.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
44.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
36.0ms
(tan (/ x (* y 2.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
03371072
11554977
25001968

prune282.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 27.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)) 3)
6.5b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.0b
(sin (/ x (* y 2.0)))
30.5b
(tan (/ x (* y 2.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
61×unpow-prod-down cube-prod
45×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log
6×add-cbrt-cube
5×pow1 div-inv
4×add-log-exp
3×cube-mult pow-unpow unpow3 associate-/r* associate-/l* sqr-pow
2×tan-quot cube-div pow-pow
1×cbrt-undiv pow-to-exp cbrt-div frac-2neg pow1/3 div-exp pow-exp clear-num associate-/l/ rem-cube-cbrt
Counts
4 → 132
Calls
4 calls:
14.0ms
(pow (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)) 3)
4.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))

series146.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(pow (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)) 3)
36.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
41.0ms
(tan (/ x (* y 2.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05671852
119601625
250021605

prune293.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 27.7b

regimes307.0ms

Accuracy

30.3% (1.7b remaining)

Error of 28.0b against oracle of 26.3b and baseline of 28.7b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02020
12020

end0.0ms

sample2.8s

Algorithm
intervals
Results
890.0ms673×body2560valid
887.0ms1434×body1280valid
334.0ms944×body640valid
300.0ms4070×body80valid
171.0ms574×body320valid
57.0ms305×body160valid