Details

Time bar (total: 18.5s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01035
12035
24435
312435
432635
566735
693635
7125135
done500035

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
86×add-exp-log add-cbrt-cube
60×*-un-lft-identity
48×times-frac
32×prod-exp cbrt-unprod
28×cbrt-undiv add-sqr-sqrt div-exp
24×add-cube-cbrt swap-sqr
20×associate-*r* associate-*l* associate-/r/
18×pow1
16×distribute-lft-out
10×flip3-+ flip-+ div-inv
8×associate-/r*
4×add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up associate-/l* unswap-sqr
Counts
4 → 184
Calls
4 calls:
18.0ms
(/ (* 2.0 t) (+ 1.0 t))
25.0ms
(/ (* 2.0 t) (+ 1.0 t))
73.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
82.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ (* 2.0 t) (+ 1.0 t))
51.0ms
(/ (* 2.0 t) (+ 1.0 t))
66.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
76.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify2.8s

Counts
196 → 196
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01463676
15163264
237062588
done50002474

prune597.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.6b
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
1.4b
(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
41×add-exp-log
40×add-cbrt-cube
39×unpow-prod-down
36×exp-prod
32×times-frac
30×sqrt-prod
27×add-sqr-sqrt
25×add-cube-cbrt
19×log-pow
15×prod-exp cbrt-unprod
14×pow1 associate-/r/
12×cbrt-undiv swap-sqr div-exp
10×associate-*r* associate-*l* distribute-lft-out
7×flip3-+ flip-+ div-inv
5×add-log-exp
4×pow-unpow
3×unpow-prod-up log-prod pow-pow sqr-pow
1×pow2 frac-times pow-to-exp sqrt-pow1 pow-plus pow1/2 associate-*r/ rem-log-exp pow-prod-down associate-*l/ pow-exp pow-sqr *-commutative pow-prod-up sqrt-pow2 rem-exp-log unswap-sqr
Counts
4 → 155
Calls
4 calls:
69.0ms
(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)))
81.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
29.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
60.0ms
(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))

series982.0ms

Counts
4 → 12
Calls
4 calls:
364.0ms
(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)))
54.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
305.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))
259.0ms
(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))

simplify634.0ms

Counts
167 → 167
Iterations

Useful iterations: done (620.0ms)

IterNodesCost
03033354
19382776
done50012367

prune856.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t))))) 4)
0.2b
(pow (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (+ 3 1))
1.0b
(pow (exp (pow (* (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t))))) 4)) (pow (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (+ 3 1)))
1.4b
(log (pow (exp (pow (* (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t))))) 4)) (pow (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (+ 3 1))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
40×unpow-prod-down
28×pow-unpow
26×cbrt-prod
25×*-un-lft-identity
20×sqrt-prod
19×add-sqr-sqrt add-cube-cbrt
17×pow-pow
14×pow1
9×add-exp-log
8×times-frac
7×log-prod pow1/3
6×sqr-pow
5×exp-prod pow-exp
4×pow-to-exp associate-/r/ add-cbrt-cube add-log-exp
3×rem-log-exp distribute-lft-out
2×unpow-prod-up flip3-+ pow-prod-down pow-sqr pow-prod-up flip-+ div-inv
1×pow2 pow-plus prod-exp log-pow
Counts
4 → 115
Calls
4 calls:
25.0ms
(pow (* (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t))))) 4)
18.0ms
(pow (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (+ 3 1))
50.0ms
(pow (exp (pow (* (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t))))) 4)) (pow (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (+ 3 1)))
12.0ms
(log (pow (exp (pow (* (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t))))) 4)) (pow (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (+ 3 1))))

series5.2s

Counts
4 → 12
Calls
4 calls:
655.0ms
(pow (* (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t))))) 4)
575.0ms
(pow (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (+ 3 1))
1.9s
(pow (exp (pow (* (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t))))) 4)) (pow (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (+ 3 1)))
2.1s
(log (pow (exp (pow (* (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t))))) 4)) (pow (cbrt (sqrt (/ (* 2.0 t) (+ 1.0 t)))) (+ 3 1))))

simplify3.0s

Counts
127 → 127
Iterations

Useful iterations: 2 (1.4s)

IterNodesCost
03814827
111484276
249672866
done50012866

prune906.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01035
11435
done1435

end0.0ms

sample1.1s

Algorithm
intervals
Results
928.0ms8000×body80valid