Details

Time bar (total: 3.7s)

sample292.0ms

Algorithm
intervals
Results
19.0ms46×body1280valid
11.0ms40×body640valid
7.0ms135×body80valid
4.0ms23×body320valid
4.0ms256×pre80true
2.0ms12×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0146
1205
2235
3245
4245

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

rewrite49.0ms

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:
25.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
9.0ms
(* e (cos v))
12.0ms
(* e (sin v))

series156.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms
(* e (cos v))
43.0ms
(* e (sin v))

simplify43.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0303422
11415368
25001362

prune184.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* (sin v) 1) (fma (cos v) e 1.0))
0.1b
(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
16×add-cbrt-cube
9×add-sqr-sqrt
8×prod-exp
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac div-exp
5×cbrt-unprod
4×pow1 cbrt-undiv
3×associate-*l* associate-/r*
2×expm1-log1p-u 1-exp log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
2 → 54
Calls
2 calls:
12.0ms
(/ (* (sin v) 1) (fma (cos v) e 1.0))
17.0ms
(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (* (sin v) 1) (fma (cos v) e 1.0))
78.0ms
(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0332505
11444424
25001420

prune152.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

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))

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))

series122.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (fma (cos v) e 1.0) e)
72.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify53.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04361039
11847982
25001979

prune297.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
5.0ms
(/ e (fma (cos v) e 1.0))
18.0ms
(* (sin v) (/ e (fma (cos v) e 1.0)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ e (fma (cos v) e 1.0))
68.0ms
(* (sin v) (/ e (fma (cos v) e 1.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0303518
11399467
25002463

prune169.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes53.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095
195

end0.0ms

sample1.7s

Algorithm
intervals
Results
630.0ms1506×body1280valid
313.0ms1239×body640valid
233.0ms4289×body80valid
122.0ms625×body320valid
92.0ms8000×pre80true
41.0ms341×body160valid