Details

Time bar (total: 24.6s)

sample48.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 7 (1.9s)

IterNodesCost
01229
12029
23729
38429
423229
554729
6115329
7243725
8494025
done500225

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite728.0ms

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:
189.0ms
(/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))) 2.0))
415.0ms
(* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))))
50.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
65.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))) 2.0))
79.0ms
(* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))))
64.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
49.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

simplify3.4s

Counts
119 → 119
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01723148
14092906
213322658
349702260
done50002251

prune348.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize50.0ms

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))))

rewrite275.0ms

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:
88.0ms
(* (/ 2.0 (+ (* t 1.0) 1.0)) (/ 2.0 (+ (* t 1.0) 1.0)))
18.0ms
(pow (/ 2.0 (+ (* t 1.0) 1.0)) 3)
126.0ms
(- (pow 2.0 3) (pow (/ 2.0 (+ (* t 1.0) 1.0)) 3))
29.0ms
(- (* 2.0 2.0) (* (/ 2.0 (+ (* t 1.0) 1.0)) (/ 2.0 (+ (* t 1.0) 1.0))))

series330.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (/ 2.0 (+ (* t 1.0) 1.0)) (/ 2.0 (+ (* t 1.0) 1.0)))
91.0ms
(pow (/ 2.0 (+ (* t 1.0) 1.0)) 3)
82.0ms
(- (pow 2.0 3) (pow (/ 2.0 (+ (* t 1.0) 1.0)) 3))
83.0ms
(- (* 2.0 2.0) (* (/ 2.0 (+ (* t 1.0) 1.0)) (/ 2.0 (+ (* t 1.0) 1.0))))

simplify3.5s

Counts
220 → 220
Iterations

Useful iterations: done (3.5s)

IterNodesCost
03344814
110464255
246323732
done50003708

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ 2.0 (+ (* t 1.0) 1.0)) 3)
0.2b
(pow (/ 2.0 (+ (* t 1.0) 1.0)) 6)
1.6b
(- (pow 2.0 6) (pow (/ 2.0 (+ (* t 1.0) 1.0)) 6))
1.6b
(- (* 2.0 2.0) (* (/ 2.0 (+ (* t 1.0) 1.0)) (/ 2.0 (+ (* t 1.0) 1.0))))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
54×unpow-prod-down
53×add-sqr-sqrt
48×times-frac
46×*-un-lft-identity
33×add-cube-cbrt
21×cube-prod
13×difference-of-squares
10×add-exp-log
9×distribute-rgt-out distribute-lft1-in sqr-pow
8×add-log-exp
7×add-cbrt-cube
6×pow1 pow-unpow associate-/r/
4×pow-exp
3×flip3-+ flip-+ div-inv
2×pow-to-exp sub-neg flip3-- pow-pow diff-log div-exp flip-- distribute-lft-out-- rem-cube-cbrt
1×cbrt-undiv cube-div cube-mult unpow3
Counts
4 → 137
Calls
4 calls:
39.0ms
(pow (/ 2.0 (+ (* t 1.0) 1.0)) 3)
24.0ms
(pow (/ 2.0 (+ (* t 1.0) 1.0)) 6)
108.0ms
(- (pow 2.0 6) (pow (/ 2.0 (+ (* t 1.0) 1.0)) 6))
8.0ms
(- (* 2.0 2.0) (* (/ 2.0 (+ (* t 1.0) 1.0)) (/ 2.0 (+ (* t 1.0) 1.0))))

series359.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(pow (/ 2.0 (+ (* t 1.0) 1.0)) 3)
85.0ms
(pow (/ 2.0 (+ (* t 1.0) 1.0)) 6)
109.0ms
(- (pow 2.0 6) (pow (/ 2.0 (+ (* t 1.0) 1.0)) 6))
87.0ms
(- (* 2.0 2.0) (* (/ 2.0 (+ (* t 1.0) 1.0)) (/ 2.0 (+ (* t 1.0) 1.0))))

simplify2.3s

Counts
149 → 149
Iterations

Useful iterations: 2 (810.0ms)

IterNodesCost
03052969
18742655
233782383
done50012383

prune912.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize50.0ms

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)))

rewrite240.0ms

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:
107.0ms
(pow (sqrt (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))) 4)
53.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
46.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
30.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

series390.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(pow (sqrt (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))) 4)
48.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
66.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
53.0ms
(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

simplify1.8s

Counts
83 → 83
Iterations

Useful iterations: 3 (586.0ms)

IterNodesCost
01221446
12851358
26911202
322051164
done50021164

prune480.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02785
13685
done3685

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.4s8000×body80valid