Details

Time bar (total: 4.0m)

sample473.0ms

Algorithm
intervals
Results
165.0ms72×body1280valid
149.0ms206×body80valid
93.0ms50×body640valid
30.0ms25×body320valid
11.0ms14×body160valid

simplify2.7s

Counts
1 → 1

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.1b

localize41.0ms

Local error

Found 4 expressions with local error:

15.0b
(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t))))
3.2b
(/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t)))
3.2b
(/ (* (/ l t) (/ l t)) (* (sin k) t))
0.2b
(* (/ l t) (/ l t))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
837×times-frac
345×add-sqr-sqrt
333×*-un-lft-identity add-cube-cbrt
254×add-cbrt-cube add-exp-log
145×cbrt-undiv div-exp
96×div-inv
60×associate-/r/
56×prod-exp cbrt-unprod
26×associate-/r*
21×flip3-+ flip-+
19×associate-/l*
13×swap-sqr associate-*r* associate-*l*
11×pow1
5×associate-/l/
4×insert-posit16 add-log-exp unswap-sqr
3×clear-num frac-2neg
2×frac-times associate-*l/ associate-*r/
1×pow2 pow-plus pow-prod-down tan-quot pow-sqr *-commutative pow-prod-up
Counts
4 → 559
Calls
4 calls:
Slowest
65.0ms
(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t))))
36.0ms
(/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t)))
19.0ms
(/ (* (/ l t) (/ l t)) (* (sin k) t))
12.0ms
(* (/ l t) (/ l t))

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
894.0ms
(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t))))
328.0ms
(/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t)))
128.0ms
(/ (* (/ l t) (/ l t)) (* (sin k) t))
32.0ms
(* (/ l t) (/ l t))

simplify2.2s

Counts
571 → 571

prune9.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 11.5b

localize66.0ms

Local error

Found 4 expressions with local error:

10.7b
(/ (sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2))) (/ (tan k) (/ (/ l t) t)))
10.5b
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))
10.5b
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))
6.4b
(/ (sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2))) (/ 1 (/ (/ l t) (sin k))))

rewrite578.0ms

Algorithm
rewrite-expression-head
Rules
19700×times-frac
7846×add-sqr-sqrt
7840×*-un-lft-identity add-cube-cbrt
4080×sqrt-prod
768×div-inv
584×associate-/r/
272×flip3-+ flip-+
268×associate-/r*
50×add-exp-log
36×associate-/l*
35×div-exp
32×add-cbrt-cube
20×cbrt-undiv
6×pow1
4×rem-sqrt-square sqrt-div insert-posit16 add-log-exp
3×rec-exp 1-exp
2×clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 5232
Calls
4 calls:
Slowest
74.0ms
(/ (sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2))) (/ (tan k) (/ (/ l t) t)))
52.0ms
(/ (sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2))) (/ 1 (/ (/ l t) (sin k))))
28.0ms
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))
14.0ms
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
508.0ms
(/ (sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2))) (/ (tan k) (/ (/ l t) t)))
303.0ms
(/ (sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2))) (/ 1 (/ (/ l t) (sin k))))
140.0ms
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))
136.0ms
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))

simplify24.7s

Counts
5244 → 5244

prune1.9m

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.3b

localize69.0ms

Local error

Found 4 expressions with local error:

10.5b
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))
10.5b
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))
10.5b
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))
8.9b
(sqrt (sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
80×sqrt-prod
46×add-sqr-sqrt
40×times-frac
33×*-un-lft-identity add-cube-cbrt
9×pow1 rem-sqrt-square
8×associate-/r/
7×sqrt-pow1
5×pow1/2 sqrt-div
4×flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 div-inv add-log-exp
Counts
4 → 118
Calls
4 calls:
Slowest
20.0ms
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))
15.0ms
(sqrt (sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2))))
15.0ms
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))
14.0ms
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))

series709.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
319.0ms
(sqrt (sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2))))
141.0ms
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))
129.0ms
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))
121.0ms
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))

simplify1.7s

Counts
130 → 130

prune2.8s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.3b

localize95.0ms

Local error

Found 4 expressions with local error:

10.9b
(sqrt (/ (sqrt 2) (+ (* (/ k t) (/ k t)) 2)))
10.5b
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))
9.0b
(/ (sqrt (/ (sqrt 2) (+ (* (/ k t) (/ k t)) 2))) t)
6.4b
(/ (sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2))) (/ 1 (/ (/ l t) (sin k))))

rewrite764.0ms

Algorithm
rewrite-expression-head
Rules
10023×times-frac
4027×add-sqr-sqrt
4019×*-un-lft-identity add-cube-cbrt
2206×sqrt-prod
390×div-inv
302×associate-/r/
141×flip3-+ flip-+
137×associate-/r*
45×associate-/l*
38×add-exp-log
26×div-exp
20×add-cbrt-cube
11×cbrt-undiv
6×pow1
5×rem-sqrt-square
4×sqrt-div insert-posit16 add-log-exp
3×rec-exp 1-exp
2×clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 2782
Calls
4 calls:
Slowest
63.0ms
(/ (sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2))) (/ 1 (/ (/ l t) (sin k))))
29.0ms
(/ (sqrt (/ (sqrt 2) (+ (* (/ k t) (/ k t)) 2))) t)
26.0ms
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))
15.0ms
(sqrt (/ (sqrt 2) (+ (* (/ k t) (/ k t)) 2)))

series768.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
289.0ms
(/ (sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2))) (/ 1 (/ (/ l t) (sin k))))
195.0ms
(/ (sqrt (/ (sqrt 2) (+ (* (/ k t) (/ k t)) 2))) t)
176.0ms
(sqrt (/ (sqrt 2) (+ (* (/ k t) (/ k t)) 2)))
109.0ms
(sqrt (/ 2 (+ (* (/ k t) (/ k t)) 2)))

simplify11.2s

Counts
2794 → 2794

prune54.8s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 10.3b

regimes247.0ms

Accuracy

0% (0.3b remaining)

Error of 10.8b against oracle of 10.5b and baseline of 10.8b

bsearch4.0ms

end0.0ms

sample9.9s

Algorithm
intervals
Results
4.7s2082×body1280valid
2.2s1724×body640valid
1.5s5851×body80valid
1.1s880×body320valid
229.0ms385×body160valid