Details

Time bar (total: 3.5s)

sample33.0ms

Algorithm
intervals
Results
10.0ms40×body1280valid
6.0ms155×body80valid
5.0ms30×body640valid
3.0ms23×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: 0.2b

Counts
2 → 1

localize9.0ms

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 div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
7.0ms
(* 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)

simplify32.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25001289

prune123.0ms

Filtered
65 candidates to 48 candidates (73.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New551065
Fresh000
Picked101
Done000
Total561066

Merged error: 0b

Counts
66 → 10

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)))

rewrite32.0ms

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×associate-*l* cbrt-unprod 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 → 176
Calls
3 calls:
15.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series102.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* x (/ 1 (/ y (sin y))))
21.0ms
(/ y (sin y))
28.0ms
(/ 1 (/ y (sin y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05671202
128851044
25001923

prune298.0ms

Filtered
185 candidates to 111 candidates (60.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1841185
Fresh279
Picked011
Done000
Total1869195

Merged error: 0b

Counts
195 → 9

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)

rewrite10.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series704.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt x) (cbrt x))
169.0ms
(cbrt x)
167.0ms
(cbrt x)
165.0ms
(cbrt x)

simplify102.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune180.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh167
Picked101
Done011
Total86894

Merged error: 0b

Counts
94 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite13.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series405.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
96.0ms
(cbrt (sin y))
94.0ms
(cbrt (sin y))
96.0ms
(cbrt (sin y))

simplify93.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0154453
1551401
23082369
35002363

prune151.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh066
Picked011
Done011
Total85893

Merged error: 0b

Counts
93 → 8

regimes159.0ms

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
0104
1104

end0.0ms

sample860.0ms

Algorithm
intervals
Results
238.0ms957×body1280valid
206.0ms5167×body80valid
168.0ms979×body640valid
73.0ms626×body320valid
23.0ms271×body160valid

Profiling

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