Details

Time bar (total: 3.6s)

sample28.0ms

Algorithm
intervals
Results
9.0ms189×body80valid
5.0ms19×body1280valid
4.0ms24×body640valid
2.0ms16×body320valid
1.0ms8×body160valid

simplify7.0ms

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))
0.1b
(/ (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)

series82.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0218334
1998302
25001302

prune130.0ms

Filtered
69 candidates to 52 candidates (75.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New62769
Fresh000
Picked101
Done000
Total63770

Merged error: 0.0b

Counts
70 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×associate-*r*
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow1
7×cbrt-unprod
6×associate-*l*
4×associate-*r/ div-exp pow-prod-down
3×unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp un-div-inv *-commutative log1p-expm1-u add-log-exp
1×div-inv
Counts
2 → 64
Calls
2 calls:
8.0ms
(* x (* (sin y) (/ 1 y)))
8.0ms
(* (sin y) (/ 1 y))

series78.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* x (* (sin y) (/ 1 y)))
26.0ms
(* (sin y) (/ 1 y))

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0287355
11261286
25001269

prune98.0ms

Filtered
70 candidates to 46 candidates (65.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh066
Picked011
Done000
Total69877

Merged error: 0.0b

Counts
77 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
12.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))

series557.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (/ (sin y) y))
131.0ms
(cbrt (/ (sin y) y))
128.0ms
(cbrt (/ (sin y) y))
168.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03021455
110291402
250011328

prune385.0ms

Filtered
164 candidates to 134 candidates (81.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1640164
Fresh066
Picked011
Done011
Total1648172

Merged error: 0.0b

Counts
172 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series745.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt x) (cbrt x))
190.0ms
(cbrt x)
176.0ms
(cbrt x)
179.0ms
(cbrt x)

simplify96.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune176.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh055
Picked011
Done022
Total938101

Merged error: 0.0b

Counts
101 → 8

regimes125.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample822.0ms

Algorithm
intervals
Results
222.0ms906×body1280valid
200.0ms5191×body80valid
159.0ms985×body640valid
64.0ms583×body320valid
26.0ms335×body160valid

Profiling

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