Details

Time bar (total: 4.5s)

sample309.0ms

Algorithm
intervals
Results
17.0ms38×body1280valid
15.0ms51×body640valid
10.0ms139×body80valid
5.0ms256×pre80true
4.0ms18×body320valid
1.0ms10×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

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
8×pow1
6×associate-*r* associate-*l* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×fma-def times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv flip3-+ div-exp pow-prod-down associate-/r/ *-commutative flip-+ unswap-sqr
1×+-commutative frac-2neg clear-num sum-log div-inv associate-/l*
Counts
4 → 81
Calls
4 calls:
3.0ms
(+ 1.0 (* e (cos v)))
6.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
18.0ms
(* e (cos v))
6.0ms
(* e (sin v))

series213.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ 1.0 (* e (cos v)))
88.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms
(* e (cos v))
48.0ms
(* e (sin v))

simplify48.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0329502
11506432
25002425

prune209.0ms

Filtered
93 candidates to 71 candidates (76.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New85893
Fresh101
Picked101
Done000
Total87895

Merged error: 0.0b

Counts
95 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (sin v))
0.1b
(pow (* e (cos v)) 3)
0.1b
(* (* e (cos v)) (* e (cos v)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
23×add-exp-log add-cbrt-cube
20×pow-prod-down
13×add-sqr-sqrt
11×prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
7×associate-*r* associate-*l*
4×expm1-log1p-u pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×pow-unpow *-commutative
2×pow-pow pow-plus pow-exp rem-cube-cbrt unswap-sqr
1×pow2 cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod swap-sqr sqr-pow
Counts
4 → 100
Calls
4 calls:
4.0ms
(* e (cos v))
4.0ms
(* e (sin v))
4.0ms
(pow (* e (cos v)) 3)
10.0ms
(* (* e (cos v)) (* e (cos v)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* e (cos v))
36.0ms
(* e (sin v))
66.0ms
(pow (* e (cos v)) 3)
55.0ms
(* (* e (cos v)) (* e (cos v)))

simplify53.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0257356
11291333
25001331

prune256.0ms

Filtered
112 candidates to 64 candidates (57.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1120112
Fresh077
Picked011
Done000
Total1128120

Merged error: 0.0b

Counts
120 → 8

localize12.0ms

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))))))

rewrite41.0ms

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))
20.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

series255.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
35.0ms
(* e (cos v))
38.0ms
(* e (cos v))
87.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

simplify87.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06502002
129391830
250011738

prune372.0ms

Filtered
174 candidates to 120 candidates (69.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh066
Picked011
Done011
Total1748182

Merged error: 0.0b

Counts
182 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

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

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) (sin v))
6.0ms
(/ e (/ (fma (cos v) e 1.0) (sin v)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (fma (cos v) e 1.0) (sin v))
90.0ms
(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify57.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04411081
118591022
250021019

prune248.0ms

Filtered
107 candidates to 89 candidates (83.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1043107
Fresh325
Picked011
Done112
Total1087115

Merged error: 0.0b

Counts
115 → 7

regimes57.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01412
11412

end0.0ms

sample1.8s

Algorithm
intervals
Results
670.0ms1470×body1280valid
380.0ms1330×body640valid
266.0ms4240×body80valid
146.0ms8000×pre80true
121.0ms623×body320valid
46.0ms337×body160valid