Details

Time bar (total: 5.2s)

analyze1.4s (26.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
9.4%90.4%0.2%11
9.4%90.4%0.2%12
10.1%89.6%0.2%13
20.8%78.9%0.2%14

sample30.0ms (0.6%)

Algorithm
1×intervals
Results
11.0ms256×body80valid
3.0ms73×body80invalid

simplify377.0ms (7.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (375.0ms)

IterNodesCost
0488813
1488813

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.1b

Counts
2 → 1

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
8.6b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite20.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 53
Calls

3 calls:

8.0ms
(- (* x y) (* (* z 9.0) t))
6.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))
4.0ms
(* (* z 9.0) t)

series34.0ms (0.7%)

Counts
3 → 9
Calls

3 calls:

19.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))
12.0ms
(- (* x y) (* (* z 9.0) t))
3.0ms
(* (* z 9.0) t)

simplify33.0ms (0.6%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05095704

prune141.0ms (2.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New521062
Fresh000
Picked101
Done000
Total531063

Merged error: 8.8b

Counts
63 → 10

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* z t) a)))
0.2b
(* 4.5 (/ (* z t) a))
6.3b
(/ (* z t) a)
6.3b
(/ (* x y) a)

rewrite23.0ms (0.4%)

Algorithm
1×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
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 82
Calls

4 calls:

6.0ms
(* 4.5 (/ (* z t) a))
6.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* z t) a)))
5.0ms
(/ (* x y) a)
4.0ms
(/ (* z t) a)

series39.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

23.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* z t) a)))
6.0ms
(* 4.5 (/ (* z t) a))
5.0ms
(/ (* x y) a)
5.0ms
(/ (* z t) a)

simplify68.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04965866
14965866

prune177.0ms (3.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New87794
Fresh459
Picked101
Done000
Total9212104

Merged error: 0.3b

Counts
104 → 12

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (* z (/ t a))))
0.2b
(* 4.5 (* z (/ t a)))
5.0b
(* z (/ t a))
6.3b
(/ (* x y) a)

rewrite26.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×associate-*r*
13×times-frac
11×pow1
9×associate-*r/
8×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
4×cbrt-undiv div-exp pow-prod-down
3×associate-/r*
2×*-commutative div-inv unswap-sqr
1×sub-neg flip3-- frac-2neg diff-log clear-num frac-sub flip-- associate-/l* sub-div
Counts
4 → 87
Calls

4 calls:

7.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (* z (/ t a))))
7.0ms
(* z (/ t a))
6.0ms
(* 4.5 (* z (/ t a)))
4.0ms
(/ (* x y) a)

series41.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

26.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (* z (/ t a))))
6.0ms
(* 4.5 (* z (/ t a)))
5.0ms
(/ (* x y) a)
5.0ms
(* z (/ t a))

simplify52.0ms (1%)

Algorithm
1×egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04961892
14961892

prune167.0ms (3.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New97299
Fresh2911
Picked101
Done000
Total10011111

Merged error: 0b

Counts
111 → 11

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (* x (/ y a))) (* 4.5 (* z (/ t a))))
0.2b
(* 4.5 (* z (/ t a)))
5.0b
(* z (/ t a))
6.1b
(* x (/ y a))

rewrite30.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
31×add-sqr-sqrt
27×associate-*r*
23×add-exp-log add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
20×times-frac
13×pow1
12×associate-*r/
9×associate-*l* prod-exp cbrt-unprod
6×add-log-exp
5×pow-prod-down
4×unswap-sqr
3×cbrt-undiv div-exp *-commutative
2×div-inv
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
4 → 98
Calls

4 calls:

8.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (* z (/ t a))))
7.0ms
(* x (/ y a))
6.0ms
(* z (/ t a))
6.0ms
(* 4.5 (* z (/ t a)))

series39.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

23.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (* z (/ t a))))
6.0ms
(* 4.5 (* z (/ t a)))
5.0ms
(* x (/ y a))
5.0ms
(* z (/ t a))

simplify53.0ms (1%)

Algorithm
1×egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04966973
14966973

prune133.0ms (2.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh01010
Picked011
Done000
Total11011121

Merged error: 0b

Counts
121 → 11

regimes1.4s (27.2%)

Accuracy

Total 0.8b remaining (95.1%)

Threshold costs 0.8b (95.1%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011855
111855

end0.0ms (0%)

sample862.0ms (16.7%)

Algorithm
1×intervals
Results
347.0ms8000×body80valid
143.0ms3127×body80invalid

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