Details

Time bar (total: 3.1s)

analyze407.0ms (13%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14

sample39.0ms (1.2%)

Algorithm
1×intervals
Results
9.0ms30×body1280valid
8.0ms172×body80valid
7.0ms33×body640valid
2.0ms12×body320valid
1.0ms21×body80invalid
1.0ms9×body160valid
1.0ms3×body640invalid
0.0ms2×body320invalid

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0678
1678

prune9.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.3b

Counts
2 → 1

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.2b
(/ (* x (/ (sin y) y)) z)

rewrite33.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls

3 calls:

13.0ms
(* x (/ (sin y) y))
7.0ms
(/ (* x (/ (sin y) y)) z)
7.0ms
(/ (sin y) y)

series30.0ms (1%)

Counts
3 → 9
Calls

3 calls:

16.0ms
(/ (* x (/ (sin y) y)) z)
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

simplify57.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04952739
14952739

prune129.0ms (4.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New85792
Fresh000
Picked101
Done000
Total86793

Merged error: 0.0b

Counts
93 → 7

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.2b
(* (sin y) (/ 1 y))
1.2b
(/ (* x (* (sin y) (/ 1 y))) z)

rewrite27.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
22×prod-exp
21×add-sqr-sqrt
15×*-un-lft-identity
14×add-cube-cbrt times-frac associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv associate-*r/
6×associate-*l*
4×pow-prod-down
3×rec-exp 1-exp associate-/r* un-div-inv add-log-exp unswap-sqr
2×*-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/l*
Counts
3 → 89
Calls

3 calls:

9.0ms
(/ (* x (* (sin y) (/ 1 y))) z)
8.0ms
(* (sin y) (/ 1 y))
7.0ms
(* x (* (sin y) (/ 1 y)))

series29.0ms (0.9%)

Counts
3 → 9
Calls

3 calls:

15.0ms
(/ (* x (* (sin y) (/ 1 y))) z)
10.0ms
(* x (* (sin y) (/ 1 y)))
4.0ms
(* (sin y) (/ 1 y))

simplify59.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05154711

prune121.0ms (3.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New98098
Fresh066
Picked011
Done000
Total987105

Merged error: 0.0b

Counts
105 → 7

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.4b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite23.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity associate-*r*
22×prod-exp
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num un-div-inv
Counts
3 → 105
Calls

3 calls:

10.0ms
(* (* x (/ (sin y) y)) (/ 1 z))
6.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)

series29.0ms (0.9%)

Counts
3 → 9
Calls

3 calls:

15.0ms
(* (* x (/ (sin y) y)) (/ 1 z))
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

simplify47.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04979943
14979943

prune130.0ms (4.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh235
Picked011
Done011
Total1156121

Merged error: 0b

Counts
121 → 6

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
3.1b
(/ x (/ z (/ (sin y) y)))

rewrite38.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×associate-/r*
23×div-inv
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
9×associate-/l*
6×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
Counts
3 → 293
Calls

3 calls:

12.0ms
(/ x (/ z (/ (sin y) y)))
5.0ms
(/ z (/ (sin y) y))
4.0ms
(/ (sin y) y)

series39.0ms (1.2%)

Counts
3 → 9
Calls

3 calls:

18.0ms
(/ z (/ (sin y) y))
16.0ms
(/ x (/ z (/ (sin y) y)))
4.0ms
(/ (sin y) y)

simplify76.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
052534565

prune272.0ms (8.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3011302
Fresh213
Picked011
Done022
Total3035308

Merged error: 0b

Counts
308 → 5

regimes318.0ms (10.1%)

Accuracy

Total 0.3b remaining (92.7%)

Threshold costs 0.3b (92.7%)

bsearch50.0ms (1.6%)

Steps
ItersRangePoint
8
3.4568965976328e+47
2.2009666848875e+51
6.042680467160922e+47
8
-1.107798890216891e+34
-7.373448749666207e+29
-2.081333118342373e+32

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02427
12427

end0.0ms (0%)

sample1.1s (36.3%)

Algorithm
1×intervals
Results
299.0ms952×body1280valid
266.0ms5276×body80valid
200.0ms974×body640valid
75.0ms513×body320valid
33.0ms285×body160valid
32.0ms552×body80invalid
11.0ms57×body640invalid
6.0ms43×body320invalid
4.0ms36×body160invalid
2.0ms8×body1280invalid

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