Details

Time bar (total: 3.7s)

analyze2.1s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 6.140574%

Guaranteed chance to sample good point: 54.393821%

sample27.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
3.0ms65×body80invalid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1547
2927
31427
41927
52387
62557
72867
83307
94277
104557
115187
125957
138037
148077
158077

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.8b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(/ y (* z 3.0))
0.3b
(* (* z 3.0) y)
4.2b
(/ t (* (* z 3.0) y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×*-un-lft-identity
9×pow1 add-sqr-sqrt add-cube-cbrt add-log-exp
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down
2×associate-+l+ frac-2neg frac-add clear-num associate-/r* sum-log div-inv distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
10.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
4.0ms
(/ y (* z 3.0))
9.0ms
(* (* z 3.0) y)
6.0ms
(/ t (* (* z 3.0) y))

series30.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
3.0ms
(/ y (* z 3.0))
3.0ms
(* (* z 3.0) y)
6.0ms
(/ t (* (* z 3.0) y))

simplify54.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0405532
12039469
25001469

prune153.0ms

Filtered
62 candidates to 93 candidates (-50.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New821193
Fresh000
Picked101
Done000
Total831194

Merged error: 0.0b

Counts
94 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (* 0.3333333333333333 (/ t (* z y))))
0.2b
(* 0.3333333333333333 (/ t (* z y)))
0.2b
(/ y (* z 3.0))
4.2b
(/ t (* z y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac add-log-exp
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l*
3×associate-*r/ associate-*l* div-inv
2×associate-+l+ frac-2neg frac-add clear-num associate-/r* sum-log
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log pow-prod-down *-commutative flip-- flip-+ unswap-sqr
Counts
4 → 86
Calls
4 calls:
9.0ms
(+ (- x (/ y (* z 3.0))) (* 0.3333333333333333 (/ t (* z y))))
7.0ms
(* 0.3333333333333333 (/ t (* z y)))
4.0ms
(/ y (* z 3.0))
4.0ms
(/ t (* z y))

series31.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(+ (- x (/ y (* z 3.0))) (* 0.3333333333333333 (/ t (* z y))))
6.0ms
(* 0.3333333333333333 (/ t (* z y)))
3.0ms
(/ y (* z 3.0))
5.0ms
(/ t (* z y))

simplify49.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0427539
11797476
25001471

prune130.0ms

Filtered
66 candidates to 98 candidates (-48.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New97198
Fresh01010
Picked101
Done000
Total9811109

Merged error: 0b

Counts
109 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
0.2b
(/ (/ y z) 3.0)
0.3b
(* (* z 3.0) y)
4.2b
(/ t (* (* z 3.0) y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
54×*-un-lft-identity
49×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube
16×associate-/l*
9×pow1 add-log-exp
6×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
4×associate-/r*
3×associate-*r* pow-prod-down
2×associate-+l+ frac-2neg frac-add clear-num sum-log distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 130
Calls
4 calls:
20.0ms
(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
6.0ms
(/ (/ y z) 3.0)
5.0ms
(* (* z 3.0) y)
6.0ms
(/ t (* (* z 3.0) y))

series31.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
3.0ms
(/ (/ y z) 3.0)
3.0ms
(* (* z 3.0) y)
7.0ms
(/ t (* (* z 3.0) y))

simplify72.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0648897
12906831
25001831

prune187.0ms

Filtered
104 candidates to 142 candidates (-36.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1411142
Fresh2810
Picked101
Done000
Total1449153

Merged error: 0b

Counts
153 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z 3.0) y)
0.3b
(* (* z 3.0) y)
0.7b
(/ 1 (/ (* z 3.0) y))
4.2b
(/ t (* (* z 3.0) y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log
39×times-frac
32×add-cbrt-cube
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×div-exp
11×associate-/r*
10×pow1 cbrt-undiv prod-exp
8×cbrt-unprod
7×div-inv associate-/l*
4×add-log-exp
3×rec-exp frac-2neg 1-exp associate-*r* pow-prod-down clear-num
1×pow-flip associate-*l* associate-/r/ *-commutative inv-pow
Counts
4 → 118
Calls
4 calls:
4.0ms
(/ (* z 3.0) y)
5.0ms
(* (* z 3.0) y)
6.0ms
(/ 1 (/ (* z 3.0) y))
6.0ms
(/ t (* (* z 3.0) y))

series19.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (* z 3.0) y)
3.0ms
(* (* z 3.0) y)
3.0ms
(/ 1 (/ (* z 3.0) y))
6.0ms
(/ t (* (* z 3.0) y))

simplify60.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0440612
12682509
25002476

prune100.0ms

Filtered
70 candidates to 130 candidates (-85.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1300130
Fresh088
Picked011
Done000
Total1309139

Merged error: 0b

Counts
139 → 9

regimes436.0ms

bsearch1.0ms

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