Details

Time bar (total: 2.6s)

analyze10.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
50%50%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14

sample32.0ms

Algorithm
intervals
Results
25.0ms256×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
0500735

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log add-cbrt-cube
48×*-un-lft-identity
40×times-frac
30×prod-exp cbrt-unprod
24×cbrt-undiv add-sqr-sqrt swap-sqr div-exp
20×add-cube-cbrt associate-*r* associate-*l*
18×pow1
16×associate-/r/
12×distribute-lft-out
10×flip3-+ flip-+
8×div-inv add-log-exp
2×+-commutative pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ sum-log pow-sqr *-commutative pow-prod-up unswap-sqr
Counts
4 → 156
Calls
4 calls:
4.0ms
(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
4.0ms
(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
15.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
15.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series14.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
4.0ms
(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
3.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
3.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify40.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
051292144

prune265.0ms

Filtered
102 candidates to 168 candidates (-64.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1662168
Fresh000
Picked011
Done000
Total1663169

Merged error: 0.0b

Counts
169 → 3

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 2.0 (+ t 1.0)) t)
0.1b
(* (/ 2.0 (+ t 1.0)) t)
0.1b
(* (/ 2.0 (+ t 1.0)) t)
0.6b
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
54×associate-*l*
51×*-un-lft-identity
48×add-sqr-sqrt
39×times-frac
33×add-cube-cbrt
20×add-exp-log
19×add-cbrt-cube
14×pow1
9×associate-*r* distribute-lft-out
6×prod-exp associate-/r/ cbrt-unprod unswap-sqr
4×unpow-prod-down pow-pow pow-prod-down add-log-exp
3×cbrt-undiv pow-unpow flip3-+ div-exp associate-*l/ *-commutative flip-+ div-inv
2×sqrt-pow1
1×pow-to-exp pow1/2 pow-exp sqrt-prod sqrt-pow2 sqr-pow
Counts
4 → 133
Calls
4 calls:
8.0ms
(* (/ 2.0 (+ t 1.0)) t)
9.0ms
(* (/ 2.0 (+ t 1.0)) t)
9.0ms
(* (/ 2.0 (+ t 1.0)) t)
8.0ms
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)

series24.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (/ 2.0 (+ t 1.0)) t)
3.0ms
(* (/ 2.0 (+ t 1.0)) t)
3.0ms
(* (/ 2.0 (+ t 1.0)) t)
15.0ms
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)

simplify57.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049981333
149981333

prune554.0ms

Filtered
110 candidates to 145 candidates (-31.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1450145
Fresh011
Picked011
Done011
Total1453148

Merged error: 0.0b

Counts
148 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 2.0 (sqrt (+ t 1.0)))
0.1b
(* (/ 2.0 (+ t 1.0)) t)
0.1b
(* (* (* (/ 2.0 (+ t 1.0)) t) (/ 2.0 (sqrt (+ t 1.0)))) (/ t (sqrt (+ 1.0 t))))
0.1b
(/ t (sqrt (+ 1.0 t)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
87×*-un-lft-identity
78×add-exp-log add-cbrt-cube
76×times-frac
64×add-sqr-sqrt
59×add-cube-cbrt
44×sqrt-prod
36×prod-exp cbrt-unprod
30×associate-*r*
20×cbrt-undiv div-exp
19×associate-*l*
15×pow1
14×associate-/r* distribute-lft-out
10×associate-*l/
8×associate-/r/
7×pow-prod-down
6×sqrt-div associate-/l*
5×frac-times
4×flip3-+ flip-+ div-inv add-log-exp
3×associate-*r/
2×frac-2neg clear-num *-commutative unswap-sqr
Counts
4 → 201
Calls
4 calls:
6.0ms
(/ 2.0 (sqrt (+ t 1.0)))
8.0ms
(* (/ 2.0 (+ t 1.0)) t)
24.0ms
(* (* (* (/ 2.0 (+ t 1.0)) t) (/ 2.0 (sqrt (+ t 1.0)))) (/ t (sqrt (+ 1.0 t))))
6.0ms
(/ t (sqrt (+ 1.0 t)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ 2.0 (sqrt (+ t 1.0)))
3.0ms
(* (/ 2.0 (+ t 1.0)) t)
4.0ms
(* (* (* (/ 2.0 (+ t 1.0)) t) (/ 2.0 (sqrt (+ t 1.0)))) (/ t (sqrt (+ 1.0 t))))
12.0ms
(/ t (sqrt (+ 1.0 t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050702723

prune448.0ms

Filtered
129 candidates to 213 candidates (-65.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2130213
Fresh000
Picked011
Done022
Total2133216

Merged error: 0.0b

Counts
216 → 3

regimes131.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
11435

end0.0ms

sample703.0ms

Algorithm
intervals
Results
613.0ms8000×body80valid

Profiling

Loading profile data...