Details

Time bar (total: 40.4s)

sample361.0ms

Algorithm
intervals
Results
72.0ms54×body1280valid
42.0ms42×body640valid
26.0ms115×body80valid
22.0ms31×body320valid
16.0ms256×pre80true
7.0ms14×body160valid

simplify85.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
85.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 3 expressions with local error:

0.2b
(* e (cos v))
0.1b
(* e (sin v))
0.0b
(/ (* e (sin v)) (+ 1 (* e (cos v))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
7×pow1
6×associate-*r* associate-*l*
3×expm1-log1p-u associate-/r* times-frac prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp pow-prod-down associate-/r/ *-commutative unswap-sqr
1×clear-num frac-2neg flip3-+ flip-+ div-inv associate-/l*
Counts
3 → 68
Calls
3 calls:
Slowest
27.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
17.0ms
(* e (cos v))
17.0ms
(* e (sin v))

series270.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
114.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
88.0ms
(* e (cos v))
69.0ms
(* e (sin v))

simplify5.2s

Counts
81 → 77
Calls
81 calls:
Slowest
727.0ms
(/ (* e (sin v)) (+ (pow 1 3) (pow (* e (cos v)) 3)))
381.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
365.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
353.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
299.0ms
(* (* (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v))))) (/ (* e (sin v)) (+ 1 (* e (cos v)))))

prune763.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cos v) e)
0.2b
(* (cos v) e)
0.2b
(* (cos v) e)
0.2b
(* e (cos v))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
12×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
4×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
4 → 84
Calls
4 calls:
Slowest
16.0ms
(* (cos v) e)
16.0ms
(* (cos v) e)
15.0ms
(* (cos v) e)
15.0ms
(* e (cos v))

series222.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
67.0ms
(* (cos v) e)
57.0ms
(* (cos v) e)
50.0ms
(* (cos v) e)
48.0ms
(* e (cos v))

simplify3.8s

Counts
96 → 96
Calls
96 calls:
Slowest
380.0ms
(* (* (* (cos v) (cos v)) (cos v)) (* (* e e) e))
370.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
368.0ms
(* (* (* (cos v) (cos v)) (cos v)) (* (* e e) e))
338.0ms
(* (* (* (cos v) (cos v)) (cos v)) (* (* e e) e))
271.0ms
(- e (* 1/2 (* e (pow v 2))))

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 103
Calls
2 calls:
Slowest
16.0ms
(/ (fma e (cos v) 1) (sin v))
15.0ms
(/ e (/ (fma e (cos v) 1) (sin v)))

series253.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
133.0ms
(/ e (/ (fma e (cos v) 1) (sin v)))
120.0ms
(/ (fma e (cos v) 1) (sin v))

simplify9.5s

Counts
159 → 109
Calls
159 calls:
Slowest
649.0ms
(/ (* (* e e) e) (* (* (/ (fma e (cos v) 1) (sin v)) (/ (fma e (cos v) 1) (sin v))) (/ (fma e (cos v) 1) (sin v))))
344.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (fma e (cos v) 1)) (cbrt (fma e (cos v) 1))) (* (cbrt (sin v)) (cbrt (sin v)))))
334.0ms
(/ (* (cbrt e) (cbrt e)) (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))))
286.0ms
(* (* (/ e (/ (fma e (cos v) 1) (sin v))) (/ e (/ (fma e (cos v) 1) (sin v)))) (/ e (/ (fma e (cos v) 1) (sin v))))
255.0ms
(/ (* (* (fma e (cos v) 1) (fma e (cos v) 1)) (fma e (cos v) 1)) (* (* (sin v) (sin v)) (sin v)))

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt e) (* (sqrt e) (sin v)))
0.3b
(* (sqrt e) (sin v))
0.2b
(* e (cos v))
0.0b
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
22×add-cbrt-cube add-exp-log
19×add-sqr-sqrt
15×associate-*l*
13×pow1 *-un-lft-identity add-cube-cbrt
8×prod-exp cbrt-unprod
7×associate-*r* sqrt-prod
5×pow-prod-down
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/r* times-frac div-exp *-commutative unswap-sqr
2×associate-/r/
1×clear-num frac-2neg flip3-+ flip-+ div-inv associate-/l*
Counts
4 → 98
Calls
4 calls:
Slowest
32.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
32.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
21.0ms
(* e (cos v))
21.0ms
(* (sqrt e) (sin v))

series442.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
157.0ms
(* (sqrt e) (sin v))
147.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
71.0ms
(* e (cos v))
67.0ms
(* (sqrt e) (* (sqrt e) (sin v)))

simplify9.2s

Counts
114 → 110
Calls
114 calls:
Slowest
819.0ms
(* (* (/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v)))) (/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))) (/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v)))))
569.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sin v) (sin v)) (sin v))))
565.0ms
(/ (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v)))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
534.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v))))
515.0ms
(* (* (* (sqrt e) (* (sqrt e) (sin v))) (* (sqrt e) (* (sqrt e) (sin v)))) (* (sqrt e) (* (sqrt e) (sin v))))

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (0.1b remaining)

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

bsearch6.0ms

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.3s1498×body1280valid
1.3s4377×body80valid
1.2s1202×body640valid
439.0ms585×body320valid
330.0ms8000×pre80true
168.0ms338×body160valid