Details

Time bar (total: 5.0s)

sample302.0ms

Algorithm
intervals
Results
20.0ms48×body1280valid
13.0ms47×body640valid
9.0ms135×body80valid
4.0ms256×pre80true
3.0ms16×body320valid
1.0ms10×body160valid

simplify14.0ms

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

localize12.0ms

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))

rewrite37.0ms

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:
23.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms
(* e (sin v))
7.0ms
(* e (cos v))

series172.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
39.0ms
(* e (sin v))
44.0ms
(* e (cos v))

simplify44.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0303422
11415368
25001362

prune153.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New68674
Fresh101
Picked011
Done000
Total69776

Merged error: 0.0b

Counts
76 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.2b
(* (sqrt e) (* (sqrt e) (sin v)))
0.3b
(* (sqrt e) (sin v))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
15×associate-*l*
13×pow1 add-cube-cbrt *-un-lft-identity
8×prod-exp cbrt-unprod
7×associate-*r* sqrt-prod
5×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac div-exp associate-/r* *-commutative unswap-sqr
2×associate-/r/
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
4 → 94
Calls
4 calls:
10.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
7.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
6.0ms
(* (sqrt e) (sin v))

series250.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
35.0ms
(* e (cos v))
44.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
75.0ms
(* (sqrt e) (sin v))

simplify73.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0531775
12668629
25001607

prune221.0ms

Filtered
106 candidates to 74 candidates (69.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1042106
Fresh235
Picked011
Done011
Total1067113

Merged error: 0.0b

Counts
113 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (sqrt e) (/ (sin v) (/ (fma (cos v) e 1.0) (sqrt e))))
0.3b
(/ (fma (cos v) e 1.0) (sqrt e))
0.3b
(/ (sin v) (/ (fma (cos v) e 1.0) (sqrt e)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
286×times-frac
183×add-sqr-sqrt
157×add-cube-cbrt *-un-lft-identity
84×sqrt-prod
71×associate-*r*
28×associate-/r*
19×add-exp-log add-cbrt-cube
10×div-inv
8×unswap-sqr
7×cbrt-undiv div-exp
6×associate-*l* associate-/l*
5×pow1
3×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/r/
1×associate-*r/ pow-prod-down *-commutative
Counts
3 → 252
Calls
3 calls:
27.0ms
(* (sqrt e) (/ (sin v) (/ (fma (cos v) e 1.0) (sqrt e))))
4.0ms
(/ (fma (cos v) e 1.0) (sqrt e))
9.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) (sqrt e)))

series293.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(* (sqrt e) (/ (sin v) (/ (fma (cos v) e 1.0) (sqrt e))))
77.0ms
(/ (fma (cos v) e 1.0) (sqrt e))
120.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) (sqrt e)))

simplify54.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09963189
150012980

prune577.0ms

Filtered
261 candidates to 178 candidates (68.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2601261
Fresh044
Picked011
Done022
Total2608268

Merged error: 0.0b

Counts
268 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (fma (cos v) e 1.0) e)
0.3b
(/ (/ (fma (cos v) e 1.0) e) (sin v))
0.4b
(/ 1 (/ (/ (fma (cos v) e 1.0) e) (sin v)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
477×times-frac
237×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
49×associate-/r*
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube associate-/l*
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
3 → 303
Calls
3 calls:
3.0ms
(/ (fma (cos v) e 1.0) e)
7.0ms
(/ (/ (fma (cos v) e 1.0) e) (sin v))
14.0ms
(/ 1 (/ (/ (fma (cos v) e 1.0) e) (sin v)))

series207.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ (fma (cos v) e 1.0) e)
72.0ms
(/ (/ (fma (cos v) e 1.0) e) (sin v))
77.0ms
(/ 1 (/ (/ (fma (cos v) e 1.0) e) (sin v)))

simplify69.0ms

Algorithm
egg-herbie
Counts
312 → 312
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011513959
150013598

prune634.0ms

Filtered
312 candidates to 220 candidates (70.5%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New3102312
Fresh224
Picked011
Done033
Total3128320

Merged error: 0.0b

Counts
320 → 8

regimes104.0ms

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
0126
1126

end0.0ms

sample1.7s

Algorithm
intervals
Results
622.0ms1477×body1280valid
346.0ms1293×body640valid
240.0ms4286×body80valid
114.0ms621×body320valid
110.0ms8000×pre80true
43.0ms323×body160valid