Details

Time bar (total: 2.6s)

analyze410.0ms (15.6%)

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
25%74.9%0.2%7
25%74.9%0.2%8
34.3%65.5%0.2%9
39%60.8%0.2%10
48.3%51.5%0.2%11
53.7%46.1%0.2%12
63.1%36.7%0.2%13
64%35.6%0.4%14

sample20.0ms (0.7%)

Algorithm
1×intervals
Results
9.0ms256×body80valid
0.0ms6×body80invalid

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01257
11257

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.7b

Counts
2 → 1

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.7b
(/ x (- y (* z t)))

rewrite8.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 40
Calls

2 calls:

4.0ms
(/ x (- y (* z t)))
3.0ms
(- y (* z t))

series17.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

11.0ms
(/ x (- y (* z t)))
6.0ms
(- y (* z t))

simplify44.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04953449
14953449

prune86.0ms (3.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New38846
Fresh000
Picked011
Done000
Total38947

Merged error: 3.6b

Counts
47 → 9

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.4b
(/ 1 (- y (* z t)))
3.6b
(* x (/ 1 (- y (* z t))))

rewrite18.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 82
Calls

3 calls:

9.0ms
(* x (/ 1 (- y (* z t))))
5.0ms
(/ 1 (- y (* z t)))
3.0ms
(- y (* z t))

series28.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

11.0ms
(* x (/ 1 (- y (* z t))))
10.0ms
(/ 1 (- y (* z t)))
6.0ms
(- y (* z t))

simplify54.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04945801
14945801

prune125.0ms (4.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New89291
Fresh347
Picked011
Done011
Total928100

Merged error: 3.6b

Counts
100 → 8

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.7b
(/ 1 (/ (- y (* z t)) x))
3.6b
(/ (- y (* z t)) x)

rewrite18.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 117
Calls

3 calls:

6.0ms
(/ 1 (/ (- y (* z t)) x))
5.0ms
(/ (- y (* z t)) x)
3.0ms
(- y (* z t))

series43.0ms (1.6%)

Counts
3 → 9
Calls

3 calls:

25.0ms
(/ 1 (/ (- y (* z t)) x))
11.0ms
(/ (- y (* z t)) x)
7.0ms
(- y (* z t))

simplify60.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
057641562

prune152.0ms (5.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1251126
Fresh145
Picked011
Done022
Total1268134

Merged error: 0.1b

Counts
134 → 8

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
8.4b
(cbrt (- y (* z t)))
8.4b
(cbrt (- y (* z t)))
8.4b
(cbrt (- y (* z t)))

rewrite19.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
18×cbrt-div
15×add-exp-log
12×pow1
9×cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- pow-flip *-un-lft-identity pow1/3 flip--
8×associate-/r/
7×add-cbrt-cube
4×frac-times div-exp add-log-exp
3×times-frac prod-exp associate-/l*
2×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/r* cbrt-unprod div-inv inv-pow
Counts
4 → 82
Calls

4 calls:

10.0ms
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))

series139.0ms (5.3%)

Counts
4 → 12
Calls

4 calls:

46.0ms
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
32.0ms
(cbrt (- y (* z t)))
30.0ms
(cbrt (- y (* z t)))
30.0ms
(cbrt (- y (* z t)))

simplify45.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04906993
14906993

prune120.0ms (4.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New94094
Fresh044
Picked011
Done033
Total948102

Merged error: 0.1b

Counts
102 → 8

regimes724.0ms (27.6%)

Accuracy

Total 1.2b remaining (93.2%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06931
16931

end0.0ms (0%)

sample448.0ms (17.1%)

Algorithm
1×intervals
Results
231.0ms8000×body80valid
10.0ms355×body80invalid

Profiling

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