Details

Time bar (total: 3.2s)

sample33.0ms

Algorithm
intervals
Results
8.0ms31×body1280valid
7.0ms171×body80valid
6.0ms35×body640valid
5.0ms16×body320valid
0.0ms3×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2163
3173
4173

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: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
6.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

series80.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)

simplify33.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0218334
1998302
25001302

prune126.0ms

Filtered
69 candidates to 52 candidates (75.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New63669
Fresh000
Picked011
Done000
Total63770

Merged error: 0b

Counts
70 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×expm1-log1p-u associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/r/
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 182
Calls
3 calls:
15.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* x (/ 1 (/ y (sin y))))
21.0ms
(/ y (sin y))
25.0ms
(/ 1 (/ y (sin y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05761226
129061067
25001946

prune248.0ms

Filtered
191 candidates to 118 candidates (61.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1901191
Fresh145
Picked101
Done011
Total1926198

Merged error: 0b

Counts
198 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
104×add-exp-log
44×prod-exp
36×div-exp
34×add-sqr-sqrt add-cbrt-cube
26×*-un-lft-identity times-frac
25×add-cube-cbrt
22×associate-*r*
18×rec-exp 1-exp
12×pow1
10×cbrt-undiv cbrt-unprod
6×associate-*l* associate-/l*
4×expm1-log1p-u associate-*r/ associate-/r* associate-/r/ un-div-inv log1p-expm1-u div-inv add-log-exp unswap-sqr
3×pow-flip pow-prod-down
2×frac-2neg clear-num *-commutative inv-pow
Counts
4 → 159
Calls
4 calls:
10.0ms
(* x (/ 1 (* y (/ 1 (sin y)))))
4.0ms
(/ 1 (sin y))
7.0ms
(/ 1 (* y (/ 1 (sin y))))
7.0ms
(* y (/ 1 (sin y)))

series113.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* x (/ 1 (* y (/ 1 (sin y)))))
12.0ms
(/ 1 (sin y))
25.0ms
(/ 1 (* y (/ 1 (sin y))))
22.0ms
(* y (/ 1 (sin y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0494852
12295672
25001623

prune178.0ms

Filtered
171 candidates to 88 candidates (51.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1710171
Fresh044
Picked011
Done011
Total1716177

Merged error: 0b

Counts
177 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b
(cbrt (/ (sin y) y))
0.3b
(cbrt (/ (sin y) y))
0.3b
(cbrt (/ (sin y) y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
12.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))

series586.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
125.0ms
(cbrt (/ (sin y) y))
128.0ms
(cbrt (/ (sin y) y))
167.0ms
(cbrt (/ (sin y) y))

simplify55.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03021455
110211402
250011328

prune409.0ms

Filtered
164 candidates to 134 candidates (81.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1640164
Fresh033
Picked011
Done022
Total1646170

Merged error: 0b

Counts
170 → 6

regimes89.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163

end0.0ms

sample864.0ms

Algorithm
intervals
Results
249.0ms946×body1280valid
195.0ms5182×body80valid
175.0ms1006×body640valid
65.0ms550×body320valid
26.0ms316×body160valid

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