Details

Time bar (total: 27.7s)

sample193.0ms

Algorithm
intervals
Results
85.0ms82×body1280valid
31.0ms71×body640valid
24.0ms247×body80valid
16.0ms43×body320valid
4.0ms22×body160valid

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5000
73179
61004
5361
4183
380
241
123
014

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
6.1b
(- (exp l) (exp (- l)))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
8×associate-*r* add-log-exp
7×add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×+-commutative sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 71
Calls
4 calls:
60.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
45.0ms
(* J (- (exp l) (exp (- l))))
65.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
15.0ms
(- (exp l) (exp (- l)))

series619.0ms

Counts
4 → 12
Calls
4 calls:
327.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
92.0ms
(* J (- (exp l) (exp (- l))))
138.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
61.0ms
(- (exp l) (exp (- l)))

simplify1.6s

Counts
83 → 83
Iterations
IterNodes
done5000
21124
1371
0143

prune626.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow l 5) 1/60)
0.1b
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2)))) (cos (/ K 2.0)))
0.1b
(* (* 1/3 l) l)
0.3b
(* 1/3 l)

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
18×add-sqr-sqrt add-cbrt-cube
16×pow1
12×associate-*r* associate-*l*
11×*-un-lft-identity add-cube-cbrt
10×prod-exp
8×cbrt-unprod
7×pow-prod-down
4×unpow-prod-down *-commutative add-log-exp unswap-sqr
2×associate-*l/ associate-*r/ sqr-pow
1×pow-to-exp flip3-+ pow-exp flip-+
Counts
4 → 81
Calls
4 calls:
9.0ms
(* (pow l 5) 1/60)
65.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2)))) (cos (/ K 2.0)))
26.0ms
(* (* 1/3 l) l)
9.0ms
(* 1/3 l)

series406.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (pow l 5) 1/60)
235.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2)))) (cos (/ K 2.0)))
48.0ms
(* (* 1/3 l) l)
23.0ms
(* 1/3 l)

simplify2.3s

Counts
93 → 93
Iterations
IterNodes
done5001
21653
1429
0155

prune754.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.1b
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0))))
0.1b
(* (* 1/3 l) l)
0.1b
(* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0)))
0.3b
(* 1/3 l)

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
14×add-sqr-sqrt
10×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
8×pow-prod-down prod-exp cbrt-unprod
4×associate-*l/ *-commutative add-log-exp
2×flip3-+ associate-*r/ flip-+ unswap-sqr
Counts
4 → 76
Calls
4 calls:
62.0ms
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0))))
13.0ms
(* (* 1/3 l) l)
48.0ms
(* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0)))
11.0ms
(* 1/3 l)

series470.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0))))
51.0ms
(* (* 1/3 l) l)
134.0ms
(* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0)))
34.0ms
(* 1/3 l)

simplify2.0s

Counts
88 → 88
Iterations
IterNodes
done5005
21418
1400
0144

prune809.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize530.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0))))) (cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0))))))
15.0b
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0)))))
15.0b
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0)))))
15.0b
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0)))))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/ associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
152.0ms
(* (cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0))))) (cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0))))))
45.0ms
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0)))))
47.0ms
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0)))))
45.0ms
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0)))))

series1.8s

Counts
4 → 12
Calls
4 calls:
475.0ms
(* (cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0))))) (cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0))))))
430.0ms
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0)))))
447.0ms
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0)))))
447.0ms
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* (* 1/3 l) l) 2))) (cos (/ K 2.0)))))

simplify2.1s

Counts
84 → 84
Iterations
IterNodes
done5000
21306
1439
0174

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes744.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done30
130
021

end0.0ms

sample7.1s

Algorithm
intervals
Results
2.8s2670×body1280valid
1.9s2656×body640valid
1.0s8314×body80valid
529.0ms1414×body320valid
193.0ms756×body160valid