Details

Time bar (total: 4.9s)

sample305.0ms

Algorithm
intervals
Results
22.0ms52×body1280valid
10.0ms40×body640valid
8.0ms136×body80valid
4.0ms24×body320valid
4.0ms256×pre80true
0.0ms4×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0146
1205
2235
3245
4245

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.1b
(* e (sin v))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×add-exp-log add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×pow1
6×associate-*r* associate-*l*
3×expm1-log1p-u times-frac prod-exp associate-/r* cbrt-unprod log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp pow-prod-down associate-/r/ *-commutative unswap-sqr
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
3 → 65
Calls
3 calls:
6.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
6.0ms
(* e (sin v))

series177.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms
(* e (cos v))
49.0ms
(* e (sin v))

simplify45.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0303422
11415368
25001362

prune165.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New67774
Fresh011
Picked101
Done000
Total68876

Merged error: 0.0b

Counts
76 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
66×times-frac
49×add-cube-cbrt *-un-lft-identity
36×sqrt-prod
30×associate-*r* associate-*l*
22×add-exp-log add-cbrt-cube
11×unswap-sqr
10×pow1
6×sqrt-div prod-exp associate-/r* associate-/r/ cbrt-unprod
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-+ pow-prod-down *-commutative flip-+ div-inv associate-/l*
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num
Counts
4 → 162
Calls
4 calls:
6.0ms
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
4.0ms
(* e (cos v))
4.0ms
(* e (cos v))
21.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
36.0ms
(* e (cos v))
36.0ms
(* e (cos v))
89.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

simplify86.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06502002
129391830
250011738

prune402.0ms

Filtered
174 candidates to 120 candidates (69.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1713174
Fresh167
Picked011
Done000
Total17210182

Merged error: 0b

Counts
182 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(log1p (expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))))
0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (log1p (expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
30×associate-*l*
22×add-cube-cbrt *-un-lft-identity
20×times-frac
13×add-exp-log add-cbrt-cube
10×pow1 sqrt-prod
9×associate-*r*
5×unswap-sqr
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-prod-down *-commutative
2×sqrt-div associate-/r/
1×cbrt-undiv log1p-udef flip3-+ log1p-expm1 div-exp associate-*l/ flip-+ div-inv
Counts
4 → 97
Calls
4 calls:
1.0ms
(log1p (expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))))
4.0ms
(* e (cos v))
4.0ms
(* e (cos v))
9.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (log1p (expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))))

series719.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(log1p (expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))))
36.0ms
(* e (cos v))
36.0ms
(* e (cos v))
504.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (log1p (expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04821204
120371077
250021066

prune317.0ms

Filtered
109 candidates to 82 candidates (75.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh088
Picked011
Done011
Total10910119

Merged error: 0b

Counts
119 → 10

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fma (cos v) e 1.0) e)
0.2b
(/ (sin v) (/ (fma (cos v) e 1.0) e))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 101
Calls
2 calls:
3.0ms
(/ (fma (cos v) e 1.0) e)
6.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

series137.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (fma (cos v) e 1.0) e)
82.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify58.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04361039
11847982
25001979

prune248.0ms

Filtered
107 candidates to 89 candidates (83.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh347
Picked011
Done112
Total1098117

Merged error: 0b

Counts
117 → 8

regimes70.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095
195

end0.0ms

sample1.6s

Algorithm
intervals
Results
615.0ms1471×body1280valid
325.0ms1274×body640valid
234.0ms4286×body80valid
128.0ms645×body320valid
108.0ms8000×pre80true
44.0ms324×body160valid