Details

Time bar (total: 4.3s)

sample42.0ms

Algorithm
intervals
Results
11.0ms33×body1280valid
9.0ms184×body80valid
9.0ms41×body640valid
2.0ms15×body320valid
1.0ms7×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.8b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.7b
(/ (* x (/ (sin y) y)) z)

rewrite20.0ms

Algorithm
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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series151.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
70.0ms
(/ (* x (/ (sin y) y)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25002420

prune170.0ms

Filtered
92 candidates to 66 candidates (71.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New85792
Fresh000
Picked011
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.8b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite25.0ms

Algorithm
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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
10.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series153.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
71.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify65.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0480667
12656552
25001539

prune179.0ms

Filtered
114 candidates to 71 candidates (62.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh066
Picked011
Done101
Total1148122

Merged error: 0b

Counts
122 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
2.4b
(/ (* x (/ (sin y) y)) (* (cbrt z) (cbrt z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
19×add-cbrt-cube
9×cbrt-prod
8×cbrt-undiv div-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
4×pow1 add-log-exp
3×pow1/3
1×frac-2neg times-frac associate-*r/ clear-num associate-/r* div-inv associate-/l/ associate-/l*
Counts
4 → 59
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
10.0ms
(/ (* x (/ (sin y) y)) (* (cbrt z) (cbrt z)))

series700.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt z)
178.0ms
(cbrt z)
177.0ms
(cbrt z)
161.0ms
(/ (* x (/ (sin y) y)) (* (cbrt z) (cbrt z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0296422
11530325
25001302

prune159.0ms

Filtered
71 candidates to 53 candidates (74.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New71071
Fresh066
Picked011
Done011
Total71879

Merged error: 0b

Counts
79 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))
2.4b
(* (* x (/ (sin y) y)) (* (cbrt (/ 1 z)) (cbrt (/ 1 z))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×add-cbrt-cube
16×pow1
13×prod-exp cbrt-unprod
11×cbrt-div
9×associate-*r/
8×pow-prod-down
5×frac-times
4×add-log-exp
3×pow1/3 associate-*l/ div-inv
2×cbrt-undiv div-exp
1×associate-*r* associate-*l* *-commutative
Counts
4 → 99
Calls
4 calls:
2.0ms
(cbrt (/ 1 z))
2.0ms
(cbrt (/ 1 z))
2.0ms
(cbrt (/ 1 z))
19.0ms
(* (* x (/ (sin y) y)) (* (cbrt (/ 1 z)) (cbrt (/ 1 z))))

series688.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt (/ 1 z))
174.0ms
(cbrt (/ 1 z))
182.0ms
(cbrt (/ 1 z))
156.0ms
(* (* x (/ (sin y) y)) (* (cbrt (/ 1 z)) (cbrt (/ 1 z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0357816
11536679
25002630

prune228.0ms

Filtered
111 candidates to 73 candidates (65.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh055
Picked011
Done022
Total1118119

Merged error: 0b

Counts
119 → 8

regimes207.0ms

Accuracy

84.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.9b

bsearch91.0ms

Steps
ItersRangePoint
10
6.878229491124131e+96
1.0854124154328397e+107
8.079243139798149e+96
6
-3.2278156572022705e+63
-5.035509386954546e+62
-1.714544534282715e+63

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

sample1.2s

Algorithm
intervals
Results
346.0ms1056×body1280valid
298.0ms5857×body80valid
224.0ms1001×body640valid
89.0ms555×body320valid
30.0ms279×body160valid

Profiling

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