Details

Time bar (total: 4.6s)

sample85.0ms

Algorithm
intervals
Results
27.0ms46×body1280valid
19.0ms14×body2560valid
10.0ms30×body640valid
9.0ms129×body80valid
6.0ms25×body320valid
2.0ms12×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0117
1137
2137

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.0b

localize9.0ms

Local error

Found 3 expressions with local error:

7.9b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.6b
(sin (/ x (* y 2.0)))
29.2b
(tan (/ x (* y 2.0)))

rewrite20.0ms

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 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×tan-quot
1×cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
3 → 49
Calls
3 calls:
11.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))

series83.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
40.0ms
(tan (/ x (* y 2.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0146485
1433441
21789441
35001441

prune184.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 26.7b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify5.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune35.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 26.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
7.9b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.6b
(sin (/ x (* y 2.0)))
29.2b
(tan (/ x (* y 2.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
5×log1p-expm1-u
4×pow1 expm1-log1p-u add-log-exp
3×associate-/r* associate-/l*
2×tan-quot
1×cbrt-undiv expm1-log1p frac-2neg div-exp clear-num div-inv associate-/l/ expm1-udef
Counts
4 → 60
Calls
4 calls:
0.0ms
(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
13.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))

series145.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
33.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
7.0ms
(sin (/ x (* y 2.0)))
33.0ms
(tan (/ x (* y 2.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0178614
1530553
22057551
35001551

prune248.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 26.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b
(expm1 (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)))
7.9b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.6b
(sin (/ x (* y 2.0)))
29.2b
(tan (/ x (* y 2.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
5×log1p-expm1-u
4×pow1 expm1-log1p-u add-log-exp
3×associate-/r* associate-/l*
2×tan-quot
1×cbrt-undiv expm1-log1p frac-2neg div-exp clear-num div-inv associate-/l/ expm1-udef
Counts
4 → 60
Calls
4 calls:
0.0ms
(expm1 (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)))
11.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms
(sin (/ x (* y 2.0)))
6.0ms
(tan (/ x (* y 2.0)))

series147.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(expm1 (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)))
37.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
34.0ms
(tan (/ x (* y 2.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0187621
1549569
22141567
35001567

prune251.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 26.7b

regimes309.0ms

Accuracy

0% (2.4b remaining)

Error of 28.6b against oracle of 26.2b and baseline of 28.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample2.8s

Algorithm
intervals
Results
848.0ms656×body2560valid
839.0ms1415×body1280valid
372.0ms961×body640valid
296.0ms4094×body80valid
141.0ms582×body320valid
58.0ms292×body160valid