Details

Time bar (total: 5.0s)

analyze905.0ms

Algorithm
search

sample60.0ms

Algorithm
intervals
Results
20.0ms314×body80nan
17.0ms256×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.5b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.8b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×sqrt-prod div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 130
Calls
4 calls:
7.0ms
(* 3.0 (/ x (* y 27.0)))
6.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
12.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series35.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (/ x (* y 27.0)))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
18.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07621370
144411058
250011056

prune171.0ms

Filtered
80 candidates to 142 candidates (-77.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1402142
Fresh000
Picked101
Done000
Total1412143

Merged error: 0.0b

Counts
143 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.8b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×prod-exp cbrt-unprod
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×sqrt-prod div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 152
Calls
4 calls:
7.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series43.0ms

Counts
4 → 10
Calls
4 calls:
18.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
19.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07771633
142501344
250021342

prune351.0ms

Filtered
107 candidates to 162 candidates (-51.4%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1611162
Fresh101
Picked101
Done000
Total1631164

Merged error: 0b

Counts
164 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.5b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.0b
(/ x (* z y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log
28×add-cbrt-cube
23×associate-*l*
22×cbrt-prod
11×pow1 prod-exp cbrt-unprod
9×associate-*r*
7×associate-/r*
6×cbrt-undiv div-exp associate-/l*
4×pow-prod-down add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 128
Calls
4 calls:
8.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
9.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
4.0ms
(/ x (* z y))

series41.0ms

Counts
4 → 10
Calls
4 calls:
18.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
18.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.0ms
(/ x (* z y))

simplify71.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05641061
12630948
25001946

prune309.0ms

Filtered
106 candidates to 138 candidates (-30.2%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1380138
Fresh000
Picked011
Done000
Total1381139

Merged error: 0b

Counts
139 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02714
12714

end0.0ms

analyze906.0ms

Algorithm
search

sample1.7s

Algorithm
intervals
Results
690.0ms10347×body80nan
557.0ms8000×body80valid

Profiling

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