Details

Time bar (total: 4.1s)

sample310.0ms

Algorithm
intervals
Results
17.0ms40×body1280valid
12.0ms42×body640valid
8.0ms147×body80valid
4.0ms256×pre80true
3.0ms19×body320valid
1.0ms8×body160valid

simplify15.0ms

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 (sin v))
0.1b
(* e (cos v))

rewrite21.0ms

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 (sin v))
7.0ms
(* e (cos v))

series187.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms
(* e (sin v))
60.0ms
(* e (cos v))

simplify46.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0303422
11415368
25001362

prune156.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New70474
Fresh011
Picked101
Done000
Total71576

Merged error: 0.0b

Counts
76 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
0.0b
(/ 1 (+ 1.0 (* e (cos v))))
0.1b
(* e (sin v))
0.1b
(* e (cos v))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
27×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
22×add-cbrt-cube
21×associate-*r*
18×times-frac
14×pow1 prod-exp
8×cbrt-unprod
7×associate-*l*
6×div-exp
5×pow-prod-down
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp 1-exp associate-/r* *-commutative associate-/l*
2×flip3-+ flip-+ div-inv unswap-sqr
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 117
Calls
4 calls:
10.0ms
(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
5.0ms
(/ 1 (+ 1.0 (* e (cos v))))
4.0ms
(* e (sin v))
4.0ms
(* e (cos v))

series197.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
34.0ms
(/ 1 (+ 1.0 (* e (cos v))))
37.0ms
(* e (sin v))
39.0ms
(* e (cos v))

simplify70.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0485869
12552717
25001680

prune222.0ms

Filtered
129 candidates to 83 candidates (64.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1281129
Fresh134
Picked101
Done000
Total1304134

Merged error: 0.0b

Counts
134 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* e (sin v)) (expm1 (log1p (/ 1 (+ 1.0 (* e (cos v)))))))
0.0b
(/ 1 (+ 1.0 (* e (cos v))))
0.1b
(* e (sin v))
0.1b
(* e (cos v))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
17×add-exp-log add-cube-cbrt *-un-lft-identity
15×add-cbrt-cube
14×pow1
9×times-frac associate-*r*
7×associate-*l*
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* *-commutative associate-/l*
2×div-exp associate-/r/ unswap-sqr
1×cbrt-undiv rec-exp pow-flip frac-2neg flip3-+ 1-exp clear-num flip-+ div-inv inv-pow
Counts
4 → 95
Calls
4 calls:
5.0ms
(* (* e (sin v)) (expm1 (log1p (/ 1 (+ 1.0 (* e (cos v)))))))
5.0ms
(/ 1 (+ 1.0 (* e (cos v))))
4.0ms
(* e (sin v))
4.0ms
(* e (cos v))

series278.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (* e (sin v)) (expm1 (log1p (/ 1 (+ 1.0 (* e (cos v)))))))
35.0ms
(/ 1 (+ 1.0 (* e (cos v))))
40.0ms
(* e (sin v))
35.0ms
(* e (cos v))

simplify57.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0396715
11901587
25001559

prune231.0ms

Filtered
107 candidates to 72 candidates (67.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1070107
Fresh033
Picked011
Done000
Total1074111

Merged error: 0.0b

Counts
111 → 4

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))

series136.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (fma (cos v) e 1.0) e)
81.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify61.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04361039
11847982
25001979

prune248.0ms

Filtered
107 candidates to 89 candidates (83.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh112
Picked011
Done011
Total1065111

Merged error: 0.0b

Counts
111 → 5

regimes49.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

sample1.6s

Algorithm
intervals
Results
651.0ms1516×body1280valid
339.0ms1218×body640valid
231.0ms4331×body80valid
116.0ms657×body320valid
102.0ms8000×pre80true
34.0ms278×body160valid