Details

Time bar (total: 4.7s)

sample312.0ms

Algorithm
intervals
Results
22.0ms45×body1280valid
9.0ms31×body640valid
9.0ms138×body80valid
6.0ms32×body320valid
6.0ms256×pre80true
2.0ms10×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0146
1205
2235
3245
4245

prune11.0ms

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

localize12.0ms

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:
20.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
6.0ms
(* e (sin v))

series171.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
35.0ms
(* e (cos v))
47.0ms
(* e (sin v))

simplify47.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0303422
11415368
25001362

prune164.0ms

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))))))

rewrite46.0ms

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))
7.0ms
(* e (cos v))
21.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

series253.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
38.0ms
(* e (cos v))
34.0ms
(* e (cos v))
87.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

simplify81.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06502002
129391830
250011738

prune387.0ms

Filtered
174 candidates to 120 candidates (69.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1731174
Fresh077
Picked011
Done000
Total1739182

Merged error: 0.0b

Counts
182 → 9

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))

series133.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (fma (cos v) e 1.0) e)
78.0ms
(/ (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

prune269.0ms

Filtered
107 candidates to 88 candidates (82.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh167
Picked011
Done011
Total1079116

Merged error: 0b

Counts
116 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ (fma (cos v) e 1.0) e))
0.1b
(sqrt (/ (fma (cos v) e 1.0) e))
0.2b
(/ (sin v) (* (sqrt (/ (fma (cos v) e 1.0) e)) (sqrt (/ (fma (cos v) e 1.0) e))))
0.5b
(* (sqrt (/ (fma (cos v) e 1.0) e)) (sqrt (/ (fma (cos v) e 1.0) e)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
92×sqrt-prod
86×add-sqr-sqrt
65×times-frac
52×add-cube-cbrt *-un-lft-identity
21×pow1
18×swap-sqr
16×associate-*r* associate-*l*
11×add-exp-log add-cbrt-cube
10×sqrt-pow1 pow1/2 sqrt-div
9×unswap-sqr
7×div-inv
5×pow-prod-up
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-prod-down associate-/r/ pow-sqr associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod
1×pow2 frac-2neg pow-plus sqrt-unprod clear-num associate-/r* rem-square-sqrt *-commutative
Counts
4 → 169
Calls
4 calls:
3.0ms
(sqrt (/ (fma (cos v) e 1.0) e))
3.0ms
(sqrt (/ (fma (cos v) e 1.0) e))
11.0ms
(/ (sin v) (* (sqrt (/ (fma (cos v) e 1.0) e)) (sqrt (/ (fma (cos v) e 1.0) e))))
14.0ms
(* (sqrt (/ (fma (cos v) e 1.0) e)) (sqrt (/ (fma (cos v) e 1.0) e)))

series321.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (/ (fma (cos v) e 1.0) e))
80.0ms
(sqrt (/ (fma (cos v) e 1.0) e))
90.0ms
(/ (sin v) (* (sqrt (/ (fma (cos v) e 1.0) e)) (sqrt (/ (fma (cos v) e 1.0) e))))
71.0ms
(* (sqrt (/ (fma (cos v) e 1.0) e)) (sqrt (/ (fma (cos v) e 1.0) e)))

simplify71.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04311638
121041443
250011382

prune384.0ms

Filtered
181 candidates to 126 candidates (69.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1801181
Fresh156
Picked011
Done022
Total1819190

Merged error: 0b

Counts
190 → 9

regimes70.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01412
11412

end0.0ms

sample1.8s

Algorithm
intervals
Results
689.0ms1518×body1280valid
367.0ms1211×body640valid
268.0ms4353×body80valid
148.0ms8000×pre80true
125.0ms598×body320valid
45.0ms320×body160valid

Profiling

Loading profile data...