Details

Time bar (total: 13.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5000
71291
6944
5670
4325
3123
244
120
010

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
0.0b
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
78×add-cbrt-cube add-exp-log
56×*-un-lft-identity
49×times-frac
32×add-sqr-sqrt
30×prod-exp cbrt-unprod
28×add-cube-cbrt
25×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l*
18×pow1 associate-/r/
12×distribute-lft-out
11×flip3-+ flip-+
div-inv
add-log-exp
associate-/r* associate-/l*
pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up unswap-sqr associate-/l/
+-commutative clear-num sum-log frac-2neg
Counts
4 → 176
Calls
4 calls:
5.0ms
(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
50.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
71.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
74.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series432.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
209.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
72.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
62.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify2.3s

Counts
188 → 188
Iterations
IterNodes
done5000
24160
1668
0212

prune770.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 2.0 (/ (+ t 1.0) t))
0.1b
(/ 2.0 (/ (+ t 1.0) t))
0.6b
(pow (sqrt (/ 2.0 (/ (+ t 1.0) t))) (+ 3 1))
0.6b
(pow (sqrt (/ 2.0 (/ (+ t 1.0) t))) (+ 3 1))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
276×*-un-lft-identity
188×add-sqr-sqrt add-cube-cbrt
112×unpow-prod-down
106×sqrt-prod
44×distribute-lft-out
32×associate-/r*
18×div-inv
16×add-exp-log
14×add-cbrt-cube
pow1 pow-unpow
cbrt-undiv pow-pow div-exp associate-/l*
associate-/r/ add-log-exp
pow-to-exp unpow-prod-up clear-num frac-2neg sqrt-pow1 pow1/2 pow-exp sqrt-pow2 sqr-pow
Counts
4 → 314
Calls
4 calls:
23.0ms
(/ 2.0 (/ (+ t 1.0) t))
25.0ms
(/ 2.0 (/ (+ t 1.0) t))
46.0ms
(pow (sqrt (/ 2.0 (/ (+ t 1.0) t))) (+ 3 1))
26.0ms
(pow (sqrt (/ 2.0 (/ (+ t 1.0) t))) (+ 3 1))

series595.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(/ 2.0 (/ (+ t 1.0) t))
57.0ms
(/ 2.0 (/ (+ t 1.0) t))
249.0ms
(pow (sqrt (/ 2.0 (/ (+ t 1.0) t))) (+ 3 1))
226.0ms
(pow (sqrt (/ 2.0 (/ (+ t 1.0) t))) (+ 3 1))

simplify619.0ms

Counts
326 → 326
Iterations
IterNodes
done5001
11205
0387

prune2.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 2.0 (/ (+ t 1.0) t))
0.6b
(pow (sqrt (/ (* 2.0 t) (+ t 1.0))) 4)
0.6b
(pow (sqrt (/ 2.0 (/ (+ t 1.0) t))) (+ 3 1))
1.1b
(log (exp (pow (sqrt (/ (* 2.0 t) (+ t 1.0))) 4)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
188×times-frac
153×*-un-lft-identity
105×add-sqr-sqrt add-cube-cbrt
82×unpow-prod-down
73×sqrt-prod
24×distribute-lft-out
18×log-pow
17×exp-prod
16×associate-/r*
11×add-exp-log div-inv
pow1 add-cbrt-cube
pow-unpow
pow-pow associate-/r/
add-log-exp
cbrt-undiv log-prod div-exp associate-/l* sqr-pow
pow-to-exp sqrt-pow1 flip3-+ pow1/2 pow-exp flip-+ sqrt-pow2
unpow-prod-up clear-num frac-2neg rem-log-exp
Counts
4 → 216
Calls
4 calls:
13.0ms
(/ 2.0 (/ (+ t 1.0) t))
22.0ms
(pow (sqrt (/ (* 2.0 t) (+ t 1.0))) 4)
35.0ms
(pow (sqrt (/ 2.0 (/ (+ t 1.0) t))) (+ 3 1))
61.0ms
(log (exp (pow (sqrt (/ (* 2.0 t) (+ t 1.0))) 4)))

series856.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ 2.0 (/ (+ t 1.0) t))
265.0ms
(pow (sqrt (/ (* 2.0 t) (+ t 1.0))) 4)
282.0ms
(pow (sqrt (/ 2.0 (/ (+ t 1.0) t))) (+ 3 1))
243.0ms
(log (exp (pow (sqrt (/ (* 2.0 t) (+ t 1.0))) 4)))

simplify760.0ms

Counts
228 → 228
Iterations
IterNodes
done5000
11491
0507

prune2.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes204.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample803.0ms

Algorithm
intervals
Results
606.0ms8000×body80valid