Details

Time bar (total: 4.1s)

sample38.0ms

Algorithm
intervals
Results
10.0ms36×body1280valid
8.0ms183×body80valid
6.0ms31×body640valid
3.0ms19×body320valid
1.0ms11×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 2.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.9b
(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 89
Calls
3 calls:
6.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series151.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
70.0ms
(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0333511
11655443
25001443

prune188.0ms

Filtered
98 candidates to 72 candidates (73.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New90898
Fresh000
Picked101
Done000
Total91899

Merged error: 0.0b

Counts
99 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.6b
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
152×times-frac
110×add-sqr-sqrt
82×associate-*r*
78×add-cube-cbrt *-un-lft-identity
52×cbrt-prod
40×add-exp-log
28×add-cbrt-cube
15×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×unswap-sqr
8×div-inv
7×associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 170
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
33.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series666.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt z)
177.0ms
(cbrt z)
200.0ms
(cbrt z)
112.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010211830
150021529

prune473.0ms

Filtered
182 candidates to 155 candidates (85.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1820182
Fresh077
Picked011
Done000
Total1828190

Merged error: 0.0b

Counts
190 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
3.0b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite24.0ms

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×expm1-log1p-u rec-exp 1-exp associate-/r* log1p-expm1-u 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 → 111
Calls
3 calls:
4.0ms
(/ (sin y) y)
7.0ms
(* x (/ (sin y) y))
10.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series196.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (sin y) y)
87.0ms
(* x (/ (sin y) y))
70.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify98.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
0487693
12670577
25001564

prune193.0ms

Filtered
120 candidates to 77 candidates (64.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh066
Picked011
Done011
Total1199128

Merged error: 0.0b

Counts
128 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.2b
(* (/ (sin y) y) (/ 1 z))
2.7b
(* x (* (/ (sin y) y) (/ 1 z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
43×add-sqr-sqrt
35×add-cbrt-cube
34×times-frac
28×*-un-lft-identity
26×add-cube-cbrt
25×prod-exp
17×div-exp
16×associate-*l*
14×associate-*r*
13×cbrt-unprod
10×pow1
9×cbrt-undiv
6×associate-*r/ unswap-sqr
4×rec-exp 1-exp pow-prod-down
3×expm1-log1p-u associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
2×frac-times associate-*l/ un-div-inv *-commutative
1×frac-2neg clear-num
Counts
3 → 122
Calls
3 calls:
4.0ms
(/ (sin y) y)
14.0ms
(* (/ (sin y) y) (/ 1 z))
9.0ms
(* x (* (/ (sin y) y) (/ 1 z)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
39.0ms
(* (/ (sin y) y) (/ 1 z))
66.0ms
(* x (* (/ (sin y) y) (/ 1 z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0542796
12405660
25001636

prune204.0ms

Filtered
131 candidates to 86 candidates (65.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1301131
Fresh066
Picked101
Done022
Total1319140

Merged error: 0b

Counts
140 → 9

regimes240.0ms

Accuracy

75.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.2b

bsearch61.0ms

Steps
ItersRangePoint
6
8.369869763858694e+76
4.55507855301186e+77
1.0536617227184075e+77
6
-5.808196089078918e+81
-1.4060160083202383e+81
-5.626023844952637e+81

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample1.1s

Algorithm
intervals
Results
309.0ms1018×body1280valid
272.0ms5766×body80valid
206.0ms1030×body640valid
79.0ms566×body320valid
30.0ms310×body160valid

Profiling

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