Details

Time bar (total: 30.4s)

sample145.0ms

Algorithm
intervals
Results
39.0ms254×body80valid
31.0ms27×body320valid
27.0ms28×body1280valid
26.0ms37×body640valid
3.0ms11×body160valid

simplify1.1s

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.2b

localize46.0ms

Local error

Found 4 expressions with local error:

35.2b
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))
4.0b
(cos (/ (+ phi1 phi2) 2))
4.0b
(cos (/ (+ phi1 phi2) 2))
0.2b
(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
142×associate-*l/
102×flip3-- flip--
68×frac-times
66×sqrt-div
64×frac-add
44×pow1
34×associate-*r/
17×pow-prod-down
16×add-cbrt-cube add-exp-log
8×prod-exp cbrt-unprod
6×add-sqr-sqrt
5×*-un-lft-identity add-cube-cbrt
4×pow-sqr pow-prod-up insert-posit16 add-log-exp
3×sqrt-prod
2×pow-plus
1×pow2 rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 swap-sqr associate-*r* associate-*l* *-commutative flip-+
Counts
4 → 139
Calls
4 calls:
Slowest
112.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))
85.0ms
(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
15.0ms
(cos (/ (+ phi1 phi2) 2))
14.0ms
(cos (/ (+ phi1 phi2) 2))

series760.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
574.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))
130.0ms
(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
33.0ms
(cos (/ (+ phi1 phi2) 2))
23.0ms
(cos (/ (+ phi1 phi2) 2))

simplify1.3s

Counts
151 → 151

prune2.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 24.1b

localize38.0ms

Local error

Found 4 expressions with local error:

35.2b
(sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- phi1 phi2) (- phi1 phi2))))
4.0b
(cos (/ (+ phi1 phi2) 2))
4.0b
(cos (/ (+ phi1 phi2) 2))
0.2b
(* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
146×associate-*l/
97×flip3-- flip--
66×sqrt-div
64×frac-times frac-add
32×associate-*r/
12×add-sqr-sqrt
9×*-un-lft-identity
7×pow1 add-cube-cbrt
6×add-cbrt-cube add-exp-log
5×associate-*l*
4×insert-posit16 add-log-exp
3×associate-*r* sqrt-prod
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 119
Calls
4 calls:
Slowest
234.0ms
(sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- phi1 phi2) (- phi1 phi2))))
33.0ms
(* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))
8.0ms
(cos (/ (+ phi1 phi2) 2))
7.0ms
(cos (/ (+ phi1 phi2) 2))

series758.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
579.0ms
(sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- phi1 phi2) (- phi1 phi2))))
107.0ms
(* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))
42.0ms
(cos (/ (+ phi1 phi2) 2))
30.0ms
(cos (/ (+ phi1 phi2) 2))

simplify843.0ms

Counts
131 → 131

prune2.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 23.9b

localize70.0ms

Local error

Found 4 expressions with local error:

35.2b
(sqrt (+ (exp (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))
28.9b
(log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
4.0b
(cos (/ (+ phi1 phi2) 2))
4.0b
(cos (/ (+ phi1 phi2) 2))

rewrite645.0ms

Algorithm
rewrite-expression-head
Rules
142×associate-*l/
102×flip3-- flip--
72×log-div
68×frac-times
66×sqrt-div
64×exp-diff frac-add
45×pow1
34×associate-*r/
17×pow-prod-down add-exp-log
16×log-pow
8×prod-exp
6×add-sqr-sqrt
5×*-un-lft-identity rem-log-exp add-cube-cbrt
4×add-cbrt-cube pow-sqr pow-prod-up insert-posit16 add-log-exp
3×sqrt-prod
2×pow-plus
1×pow2 rem-sqrt-square log-prod sqrt-pow1 flip3-+ pow1/2 flip-+
Counts
4 → 134
Calls
4 calls:
Slowest
541.0ms
(sqrt (+ (exp (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))
81.0ms
(log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
11.0ms
(cos (/ (+ phi1 phi2) 2))
7.0ms
(cos (/ (+ phi1 phi2) 2))

series866.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
602.0ms
(sqrt (+ (exp (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))
207.0ms
(log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
35.0ms
(cos (/ (+ phi1 phi2) 2))
22.0ms
(cos (/ (+ phi1 phi2) 2))

simplify782.0ms

Counts
146 → 146

prune2.8s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.0b

localize95.0ms

Local error

Found 4 expressions with local error:

35.2b
(sqrt (+ (exp (log (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))
28.9b
(log (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
27.2b
(posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))
4.0b
(cos (/ (+ phi1 phi2) 2))

rewrite584.0ms

Algorithm
rewrite-expression-head
Rules
142×associate-*l/
102×flip3-- flip--
72×log-div
68×frac-times
66×sqrt-div
64×exp-diff frac-add
34×associate-*r/
18×pow1
17×add-exp-log
8×pow-prod-down prod-exp
6×add-sqr-sqrt
5×*-un-lft-identity rem-log-exp log-pow add-cube-cbrt
4×add-cbrt-cube insert-posit16 add-log-exp
3×sqrt-prod
1×rem-sqrt-square log-prod sqrt-pow1 flip3-+ pow1/2 flip-+ remove-posit16
Counts
4 → 124
Calls
4 calls:
Slowest
513.0ms
(sqrt (+ (exp (log (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))
59.0ms
(log (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
7.0ms
(cos (/ (+ phi1 phi2) 2))
0.0ms
(posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))

series910.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
636.0ms
(sqrt (+ (exp (log (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))
202.0ms
(log (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
38.0ms
(posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))
35.0ms
(cos (/ (+ phi1 phi2) 2))

simplify987.0ms

Counts
136 → 136

prune3.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 23.0b

regimes1.0s

Accuracy

35.1% (8.8b remaining)

Error of 32.3b against oracle of 23.5b and baseline of 37.0b

bsearch154.0ms

end0.0ms

sample7.1s

Algorithm
intervals
Results
2.4s8403×body80valid
2.1s1280×body640valid
1.5s764×body1280valid
508.0ms754×body320valid
181.0ms350×body160valid