Details

Time bar (total: 23.3s)

sample46.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 7 (1.5s)

IterNodesCost
01229
12029
23729
38429
423229
554729
6115329
7243725
8494025
done500225

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))) 2.0))
0.0b
(* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))))
1.6b
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
1.6b
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

rewrite629.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
34×*-un-lft-identity
16×add-cube-cbrt
15×times-frac
12×difference-of-squares
11×pow1
8×add-exp-log flip3-- swap-sqr add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
6×associate-*r* associate-*l*
4×frac-times sub-neg
3×associate-/r* associate-/l*
2×distribute-rgt-in distribute-lft-in diff-log associate-*r/ associate-*l/ associate-/r/
1×cbrt-undiv pow2 frac-2neg flip3-+ pow-plus div-exp pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 107
Calls
4 calls:
171.0ms
(/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))) 2.0))
360.0ms
(* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))))
29.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
65.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))) 2.0))
95.0ms
(* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))))
70.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
61.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

simplify3.8s

Counts
119 → 119
Iterations

Useful iterations: done (3.8s)

IterNodesCost
01723148
14092906
213322658
349702260
done50002251

prune403.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

1.6b
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
1.6b
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
1.6b
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
1.6b
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
12×*-un-lft-identity add-log-exp
8×difference-of-squares
4×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
4 → 60
Calls
4 calls:
29.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
27.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
44.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
31.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

series204.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
58.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
42.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
47.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

simplify2.2s

Counts
72 → 72
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
0521188
11231144
22991032
39111032
440271024
done50001024

prune401.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 2.0 (+ (* t 1.0) 1.0)) (/ 2.0 (+ (* t 1.0) 1.0)))
0.1b
(pow (/ 2.0 (+ (* t 1.0) 1.0)) 3)
1.6b
(- (pow 2.0 3) (pow (/ 2.0 (+ (* t 1.0) 1.0)) 3))
1.6b
(- (* 2.0 2.0) (* (/ 2.0 (+ (* t 1.0) 1.0)) (/ 2.0 (+ (* t 1.0) 1.0))))

rewrite316.0ms

Algorithm
rewrite-expression-head
Rules
117×add-sqr-sqrt
102×times-frac
87×*-un-lft-identity
59×add-cube-cbrt
39×unpow-prod-down cube-prod
25×difference-of-squares
21×swap-sqr associate-*r* associate-*l*
19×add-exp-log add-cbrt-cube
18×distribute-rgt-out distribute-lft1-in
12×pow1 associate-/r/
11×sqr-pow
8×add-log-exp
6×flip3-+ flip-+ div-inv
5×cbrt-undiv div-exp distribute-lft-out--
4×prod-exp cbrt-unprod unswap-sqr
3×pow-unpow
2×sub-neg flip3-- diff-log pow-exp flip-- rem-cube-cbrt
1×difference-cubes cube-div pow2 cube-mult frac-times pow-to-exp pow-pow pow-plus unpow3 associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
4 → 208
Calls
4 calls:
119.0ms
(* (/ 2.0 (+ (* t 1.0) 1.0)) (/ 2.0 (+ (* t 1.0) 1.0)))
30.0ms
(pow (/ 2.0 (+ (* t 1.0) 1.0)) 3)
140.0ms
(- (pow 2.0 3) (pow (/ 2.0 (+ (* t 1.0) 1.0)) 3))
13.0ms
(- (* 2.0 2.0) (* (/ 2.0 (+ (* t 1.0) 1.0)) (/ 2.0 (+ (* t 1.0) 1.0))))

series336.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (/ 2.0 (+ (* t 1.0) 1.0)) (/ 2.0 (+ (* t 1.0) 1.0)))
95.0ms
(pow (/ 2.0 (+ (* t 1.0) 1.0)) 3)
98.0ms
(- (pow 2.0 3) (pow (/ 2.0 (+ (* t 1.0) 1.0)) 3))
76.0ms
(- (* 2.0 2.0) (* (/ 2.0 (+ (* t 1.0) 1.0)) (/ 2.0 (+ (* t 1.0) 1.0))))

simplify2.9s

Counts
220 → 220
Iterations

Useful iterations: done (2.9s)

IterNodesCost
03344814
110464255
246323732
done50003708

prune960.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (sqrt (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))) 4)
1.6b
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
1.6b
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
1.6b
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
15×*-un-lft-identity
10×add-log-exp
9×unpow-prod-down
8×difference-of-squares
7×add-cube-cbrt
6×pow1 sqrt-prod
5×add-exp-log
4×times-frac add-cbrt-cube distribute-lft-out--
3×sub-neg pow-unpow flip3-- pow-pow diff-log flip--
1×pow-to-exp sqrt-pow1 pow1/2 pow-exp sqrt-pow2 sqr-pow
Counts
4 → 71
Calls
4 calls:
71.0ms
(pow (sqrt (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))) 4)
53.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
60.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
53.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

series357.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(pow (sqrt (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))) 4)
67.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
51.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
55.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

simplify1.6s

Counts
83 → 83
Iterations

Useful iterations: 3 (541.0ms)

IterNodesCost
01221446
12851358
26911202
322051164
done50021164

prune498.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02185
12785
done2785

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid