Details

Time bar (total: 23.1s)

sample37.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01035
12035
24435
312435
432635
566735
693635
7125135
done500035

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log add-cbrt-cube
55×*-un-lft-identity
49×times-frac
31×add-sqr-sqrt
30×prod-exp cbrt-unprod
27×add-cube-cbrt
25×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l*
18×associate-/r/
17×pow1
12×distribute-lft-out
10×flip3-+ flip-+
9×div-inv
3×associate-/r* associate-/l* add-log-exp
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up associate-/l/ unswap-sqr
1×frac-2neg clear-num
Counts
3 → 165
Calls
3 calls:
66.0ms
(/ (+ 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)))))
107.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
111.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series360.0ms

Counts
3 → 9
Calls
3 calls:
192.0ms
(/ (+ 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)))))
84.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
84.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify3.7s

Counts
174 → 174
Iterations

Useful iterations: done (3.7s)

IterNodesCost
02024774
16464283
239393523
done50013210

prune821.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (exp (/ (+ (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)) 1.0) (+ 2.0 (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))))
0.0b
(/ (+ (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)) 1.0) (+ 2.0 (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))
0.6b
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
0.6b
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
40×times-frac
32×add-sqr-sqrt add-cube-cbrt
26×unpow-prod-down
23×log-pow
22×exp-prod distribute-lft-out
20×sqrt-prod
9×pow1
8×add-exp-log pow-unpow associate-/r/
6×pow-pow add-cbrt-cube
5×flip3-+ flip-+
4×associate-/r* div-inv associate-/l* add-log-exp
3×log-prod
2×unpow-prod-up pow-to-exp sqrt-pow1 pow1/2 pow-exp sqrt-pow2 associate-/l/ sqr-pow
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num
Counts
4 → 138
Calls
4 calls:
686.0ms
(log (exp (/ (+ (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)) 1.0) (+ 2.0 (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))))
467.0ms
(/ (+ (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)) 1.0) (+ 2.0 (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))
41.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
31.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))

series2.7s

Counts
4 → 12
Calls
4 calls:
1.0s
(log (exp (/ (+ (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)) 1.0) (+ 2.0 (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))))
1.0s
(/ (+ (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)) 1.0) (+ 2.0 (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))
306.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
319.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))

simplify3.5s

Counts
150 → 150
Iterations

Useful iterations: done (3.5s)

IterNodesCost
03275301
19004470
243904076
done50004022

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 0.25 (* t t)) 2.0)
0.0b
(* (* 2.0 2.0) (* 0.5 (pow t 3)))
0.0b
(* (* (* 0.25 (* t t)) 2.0) 2.0)
7.0b
(- (* (* (* 0.25 (* t t)) 2.0) 2.0) (* (* 2.0 2.0) (* 0.5 (pow t 3))))

rewrite858.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
39×add-cbrt-cube
34×prod-exp
32×pow1
24×cbrt-unprod
19×pow-prod-down
7×associate-*r*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×associate-*l* *-commutative
2×pow-to-exp pow-exp
1×sub-neg flip3-- diff-log flip--
Counts
4 → 81
Calls
4 calls:
99.0ms
(* (* 0.25 (* t t)) 2.0)
67.0ms
(* (* 2.0 2.0) (* 0.5 (pow t 3)))
323.0ms
(* (* (* 0.25 (* t t)) 2.0) 2.0)
362.0ms
(- (* (* (* 0.25 (* t t)) 2.0) 2.0) (* (* 2.0 2.0) (* 0.5 (pow t 3))))

series866.0ms

Counts
4 → 12
Calls
4 calls:
532.0ms
(* (* 0.25 (* t t)) 2.0)
74.0ms
(* (* 2.0 2.0) (* 0.5 (pow t 3)))
48.0ms
(* (* (* 0.25 (* t t)) 2.0) 2.0)
211.0ms
(- (* (* (* 0.25 (* t t)) 2.0) 2.0) (* (* 2.0 2.0) (* 0.5 (pow t 3))))

simplify3.8s

Counts
93 → 93
Iterations

Useful iterations: 2 (743.0ms)

IterNodesCost
01331371
14111242
22849986
done5000986

prune428.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes219.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01035
11435
done1435

end0.0ms

sample1.0s

Algorithm
intervals
Results
772.0ms8000×body80valid