Details

Time bar (total: 45.2s)

sample616.0ms

Algorithm
intervals
Results
97.0ms45×body1280valid
48.0ms50×body640valid
31.0ms134×body80valid
15.0ms256×pre80true
12.0ms17×body320valid
5.0ms10×body160valid

simplify83.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
83.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ e (fma (cos v) e 1)) (sin v))
0.0b
(/ e (fma (cos v) e 1))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×*-un-lft-identity add-cube-cbrt
13×associate-*l*
9×add-cbrt-cube add-exp-log
4×pow1
3×associate-/r* associate-*r* associate-/l*
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
Counts
2 → 65
Calls
2 calls:
Slowest
42.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
8.0ms
(/ e (fma (cos v) e 1))

series259.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
179.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
80.0ms
(/ e (fma (cos v) e 1))

simplify3.2s

Counts
55 → 71
Calls
55 calls:
Slowest
343.0ms
(* (* (* (/ e (fma (cos v) e 1)) (/ e (fma (cos v) e 1))) (/ e (fma (cos v) e 1))) (* (* (sin v) (sin v)) (sin v)))
228.0ms
(/ (* (* e e) e) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)))
223.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
200.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
193.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))

prune762.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.2b
(* e (* (/ 1 (fma (cos v) e 1)) (sin v)))
0.0b
(/ 1 (fma (cos v) e 1))
0.0b
(* (/ 1 (fma (cos v) e 1)) (sin v))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
19×add-cbrt-cube
16×associate-*l*
13×prod-exp
11×pow1
7×cbrt-unprod
6×div-exp
4×associate-*r* pow-prod-down
3×expm1-log1p-u cbrt-undiv rec-exp associate-/r* 1-exp insert-posit16 log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×associate-*l/ *-commutative div-inv
1×clear-num frac-2neg associate-*r/ pow-flip inv-pow
Counts
3 → 98
Calls
3 calls:
Slowest
31.0ms
(* e (* (/ 1 (fma (cos v) e 1)) (sin v)))
18.0ms
(* (/ 1 (fma (cos v) e 1)) (sin v))
4.0ms
(/ 1 (fma (cos v) e 1))

series249.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
124.0ms
(* e (* (/ 1 (fma (cos v) e 1)) (sin v)))
85.0ms
(* (/ 1 (fma (cos v) e 1)) (sin v))
40.0ms
(/ 1 (fma (cos v) e 1))

simplify8.0s

Counts
78 → 107
Calls
78 calls:
Slowest
709.0ms
(* (* (* e e) e) (* (* (* (/ 1 (fma (cos v) e 1)) (/ 1 (fma (cos v) e 1))) (/ 1 (fma (cos v) e 1))) (* (* (sin v) (sin v)) (sin v))))
688.0ms
(* (/ (* (* 1 1) 1) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1))) (* (* (sin v) (sin v)) (sin v)))
487.0ms
(* e (* (/ 1 (fma (cos v) e 1)) (sin v)))
477.0ms
(/ (* (* 1 1) 1) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)))
447.0ms
(- v (+ (* 1/6 (pow v 3)) (* e v)))

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b
(log1p (* (/ 1 (fma (cos v) e 1)) (sin v)))
0.2b
(* e (expm1 (log1p (* (/ 1 (fma (cos v) e 1)) (sin v)))))
0.2b
(expm1 (log1p (* (/ 1 (fma (cos v) e 1)) (sin v))))
0.0b
(/ 1 (fma (cos v) e 1))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
10×add-exp-log
9×times-frac
8×add-cbrt-cube
7×pow1
5×expm1-log1p-u
4×insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-*r* associate-*l* associate-/l*
2×div-exp
1×cbrt-undiv rec-exp log1p-udef expm1-log1p clear-num frac-2neg 1-exp pow-prod-down prod-exp log1p-expm1 *-commutative cbrt-unprod div-inv pow-flip inv-pow expm1-udef unswap-sqr
Counts
4 → 79
Calls
4 calls:
Slowest
12.0ms
(* e (expm1 (log1p (* (/ 1 (fma (cos v) e 1)) (sin v)))))
8.0ms
(/ 1 (fma (cos v) e 1))
1.0ms
(log1p (* (/ 1 (fma (cos v) e 1)) (sin v)))
0.0ms
(expm1 (log1p (* (/ 1 (fma (cos v) e 1)) (sin v))))

series470.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
167.0ms
(* e (expm1 (log1p (* (/ 1 (fma (cos v) e 1)) (sin v)))))
140.0ms
(log1p (* (/ 1 (fma (cos v) e 1)) (sin v)))
106.0ms
(expm1 (log1p (* (/ 1 (fma (cos v) e 1)) (sin v))))
57.0ms
(/ 1 (fma (cos v) e 1))

simplify6.7s

Counts
51 → 91
Calls
51 calls:
Slowest
895.0ms
(- (+ (* 1/3 (/ (pow (sin v) 3) (* (pow e 3) (pow (cos v) 3)))) (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (+ (/ (pow (sin v) 2) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))))) (+ (* 1/2 (/ (pow (sin v) 2) (* (pow e 2) (pow (cos v) 2)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2)))))
817.0ms
(- (+ (* 1/3 (/ (pow (sin v) 3) (* (pow e 3) (pow (cos v) 3)))) (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (+ (/ (pow (sin v) 2) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))))) (+ (* 1/2 (/ (pow (sin v) 2) (* (pow e 2) (pow (cos v) 2)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2)))))
725.0ms
(* (* (* e e) e) (* (* (expm1 (log1p (* (/ 1 (fma (cos v) e 1)) (sin v)))) (expm1 (log1p (* (/ 1 (fma (cos v) e 1)) (sin v))))) (expm1 (log1p (* (/ 1 (fma (cos v) e 1)) (sin v))))))
477.0ms
(/ (* (* 1 1) 1) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)))
410.0ms
(- (+ (/ 1 (* e (cos v))) (/ 1 (* (pow e 3) (pow (cos v) 3)))) (/ 1 (* (pow e 2) (pow (cos v) 2))))

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ (fma (cos v) e 1) e))
0.2b
(* (/ 1 (/ (fma (cos v) e 1) e)) (sin v))
0.0b
(/ (fma (cos v) e 1) e)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*l*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×expm1-log1p-u associate-*r* cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/r/
1×pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
3 → 184
Calls
3 calls:
Slowest
37.0ms
(* (/ 1 (/ (fma (cos v) e 1) e)) (sin v))
13.0ms
(/ 1 (/ (fma (cos v) e 1) e))
8.0ms
(/ (fma (cos v) e 1) e)

series299.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
102.0ms
(/ 1 (/ (fma (cos v) e 1) e))
101.0ms
(* (/ 1 (/ (fma (cos v) e 1) e)) (sin v))
96.0ms
(/ (fma (cos v) e 1) e)

simplify13.5s

Counts
200 → 193
Calls
200 calls:
Slowest
601.0ms
(* (* (* (/ 1 (/ (fma (cos v) e 1) e)) (/ 1 (/ (fma (cos v) e 1) e))) (/ 1 (/ (fma (cos v) e 1) e))) (* (* (sin v) (sin v)) (sin v)))
423.0ms
(/ (* (* 1 1) 1) (/ (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)) (* (* e e) e)))
374.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1))) (* (cbrt e) (cbrt e))))
316.0ms
(/ (sqrt 1) (/ (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1))) (* (cbrt e) (cbrt e))))
313.0ms
(/ (sqrt 1) (/ (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1))) (* (cbrt e) (cbrt e))))

prune2.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes153.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.4s1508×body1280valid
1.6s1266×body640valid
900.0ms4281×body80valid
374.0ms623×body320valid
364.0ms8000×pre80true
116.0ms322×body160valid