Details

Time bar (total: 4.2s)

sample307.0ms

Algorithm
intervals
Results
18.0ms40×body1280valid
10.0ms157×body80valid
9.0ms33×body640valid
4.0ms256×pre80true
3.0ms18×body320valid
1.0ms8×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

localize14.0ms

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))

rewrite20.0ms

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

series189.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms
(* e (cos v))
63.0ms
(* e (sin v))

simplify46.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0303422
11415368
25001362

prune158.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New68674
Fresh011
Picked101
Done000
Total69776

Merged error: 0.0b

Counts
76 → 7

localize9.0ms

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))

rewrite14.0ms

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)
7.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

series140.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (fma (cos v) e 1.0) e)
82.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify57.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04361039
11847982
25001979

prune261.0ms

Filtered
107 candidates to 88 candidates (82.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1061107
Fresh066
Picked011
Done000
Total1068114

Merged error: 0b

Counts
114 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
57×add-sqr-sqrt
55×add-cube-cbrt *-un-lft-identity
16×associate-/r*
12×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv div-exp
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/l/
1×flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 123
Calls
3 calls:
4.0ms
(* e (cos v))
5.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series190.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* e (cos v))
68.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
87.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify74.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05301326
123771222
250011212

prune291.0ms

Filtered
132 candidates to 109 candidates (82.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1311132
Fresh246
Picked011
Done011
Total1337140

Merged error: 0b

Counts
140 → 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) (sin v))
0.3b
(* (sqrt e) (* (sqrt e) (sin v)))

rewrite28.0ms

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))
5.0ms
(* (sqrt e) (sin v))
7.0ms
(* (sqrt e) (* (sqrt e) (sin v)))

series252.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
35.0ms
(* e (cos v))
74.0ms
(* (sqrt e) (sin v))
47.0ms
(* (sqrt e) (* (sqrt e) (sin v)))

simplify73.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0531775
12666629
25001607

prune207.0ms

Filtered
106 candidates to 76 candidates (71.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1060106
Fresh044
Picked011
Done022
Total1067113

Merged error: 0b

Counts
113 → 7

regimes89.0ms

Accuracy

0% (0.2b 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
085

end0.0ms

sample1.7s

Algorithm
intervals
Results
664.0ms1485×body1280valid
344.0ms1296×body640valid
238.0ms4296×body80valid
123.0ms619×body320valid
110.0ms8000×pre80true
39.0ms304×body160valid

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