Details

Time bar (total: 4.4s)

sample305.0ms

Algorithm
intervals
Results
22.0ms50×body1280valid
10.0ms40×body640valid
8.0ms131×body80valid
4.0ms256×pre80true
4.0ms22×body320valid
2.0ms13×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0146
1205
2235
3245
4245

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))

rewrite29.0ms

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))))
3.0ms
(* e (cos v))
6.0ms
(* e (sin v))

series176.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms
(* e (cos v))
48.0ms
(* e (sin v))

simplify45.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0303422
11415368
25001362

prune190.0ms

Filtered
74 candidates to 54 candidates (73.0%)
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
(pow (* e (cos v)) 3)
0.1b
(* (* e (cos v)) (* e (cos v)))
0.2b
(* e (sin v))

rewrite23.0ms

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:
3.0ms
(* e (cos v))
3.0ms
(pow (* e (cos v)) 3)
11.0ms
(* (* e (cos v)) (* e (cos v)))
4.0ms
(* e (sin v))

series201.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* e (cos v))
65.0ms
(pow (* e (cos v)) 3)
55.0ms
(* (* e (cos v)) (* e (cos v)))
42.0ms
(* e (sin v))

simplify50.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0257356
11291333
25001331

prune313.0ms

Filtered
112 candidates to 64 candidates (57.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

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)))

rewrite25.0ms

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:
3.0ms
(* e (cos v))
10.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* e (cos v))
66.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
87.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify67.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05301326
123771222
250011212

prune376.0ms

Filtered
132 candidates to 109 candidates (82.6%)
Pruning

10 alts after pruning (8 fresh and 2 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))

rewrite12.0ms

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:
2.0ms
(/ (fma (cos v) e 1.0) e)
6.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

series137.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (fma (cos v) e 1.0) e)
82.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify56.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04361039
11847982
25001979

prune301.0ms

Filtered
107 candidates to 89 candidates (83.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes84.0ms

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
02420
12420

end0.0ms

sample1.7s

Algorithm
intervals
Results
672.0ms1534×body1280valid
344.0ms1284×body640valid
241.0ms4236×body80valid
116.0ms623×body320valid
107.0ms8000×pre80true
41.0ms323×body160valid