Details

Time bar (total: 4.3s)

sample378.0ms

Algorithm
intervals
Results
27.0ms63×body1280valid
11.0ms43×body640valid
7.0ms124×body80valid
4.0ms256×pre80true
2.0ms12×body320valid
2.0ms14×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0146
1205
2235
3245
4245

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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))
0.2b
(* e (sin v))

rewrite39.0ms

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:
16.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
9.0ms
(* e (cos v))
12.0ms
(* e (sin v))

series183.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms
(* e (cos v))
55.0ms
(* e (sin v))

simplify43.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0303422
11415368
25001362

prune180.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.2b
(pow (* e (cos v)) 3)
0.2b
(* e (sin v))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
9×associate-*r* associate-*l*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-unpow *-commutative unswap-sqr
2×pow-pow pow-exp rem-cube-cbrt
1×cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod sqr-pow
Counts
4 → 84
Calls
4 calls:
8.0ms
(* e (cos v))
8.0ms
(* e (cos v))
7.0ms
(pow (* e (cos v)) 3)
9.0ms
(* e (sin v))

series181.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* e (cos v))
39.0ms
(* e (cos v))
64.0ms
(pow (* e (cos v)) 3)
42.0ms
(* e (sin v))

simplify35.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0177310
1812292
25001291

prune302.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:
5.0ms
(/ (fma (cos v) e 1.0) e)
12.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

series143.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (fma (cos v) e 1.0) e)
84.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify53.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04361039
11847982
25001979

prune290.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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:
23.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
11.0ms
(* e (cos v))
13.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series196.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
36.0ms
(* e (cos v))
88.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify66.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05301326
123771222
250011212

prune335.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes56.0ms

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
095
195

end0.0ms

sample1.6s

Algorithm
intervals
Results
618.0ms1473×body1280valid
325.0ms1266×body640valid
227.0ms4317×body80valid
117.0ms658×body320valid
97.0ms8000×pre80true
34.0ms286×body160valid