Details

Time bar (total: 2.3s)

sample49.0ms

Algorithm
intervals
Results
15.0ms37×body1280valid
10.0ms196×body80valid
6.0ms28×body640valid
2.0ms16×body320valid
1.0ms8×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0678
1678

prune10.0ms

Filtered
1 candidates to 1 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 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
2.2b
(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

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

series31.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (sin y) y)
13.0ms
(* x (/ (sin y) y))
14.0ms
(/ (* x (/ (sin y) y)) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05459739

prune86.0ms

Filtered
66 candidates to 92 candidates (-39.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New88492
Fresh101
Picked011
Done000
Total89594

Merged error: 0.0b

Counts
94 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (sin y))
2.3b
(/ x (* y (/ z (sin y))))
7.0b
(* y (/ z (sin y)))

rewrite21.0ms

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-/l*
5×pow1
4×prod-exp associate-/r* cbrt-unprod
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down associate-/r/ *-commutative
Counts
3 → 83
Calls
3 calls:
6.0ms
(/ z (sin y))
6.0ms
(/ x (* y (/ z (sin y))))
7.0ms
(* y (/ z (sin y)))

series36.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ z (sin y))
14.0ms
(/ x (* y (/ z (sin y))))
11.0ms
(* y (/ z (sin y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05126737

prune73.0ms

Filtered
65 candidates to 92 candidates (-41.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh213
Picked011
Done011
Total93497

Merged error: 0b

Counts
97 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (sin y) (/ x z))
7.8b
(* (/ 1 y) (* (sin y) (/ x z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
16×associate-*l*
14×associate-*r*
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv
4×associate-*r/ pow-prod-down
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
1×frac-times associate-*l/
Counts
2 → 77
Calls
2 calls:
7.0ms
(* (sin y) (/ x z))
12.0ms
(* (/ 1 y) (* (sin y) (/ x z)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* (sin y) (/ x z))
14.0ms
(* (/ 1 y) (* (sin y) (/ x z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04965711
14965711

prune62.0ms

Filtered
50 candidates to 83 candidates (-66.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done022
Total83487

Merged error: 0b

Counts
87 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ x (* y z))
6.5b
(* (sin y) (/ x (* y z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 48
Calls
2 calls:
4.0ms
(/ x (* y z))
7.0ms
(* (sin y) (/ x (* y z)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ x (* y z))
14.0ms
(* (sin y) (/ x (* y z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05014422

prune35.0ms

Filtered
35 candidates to 54 candidates (-54.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New54054
Fresh000
Picked011
Done033
Total54458

Merged error: 0b

Counts
58 → 4

regimes331.0ms

Accuracy

87.7% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02235
12235

end0.0ms

sample1.3s

Algorithm
intervals
Results
320.0ms1015×body1280valid
295.0ms5871×body80valid
210.0ms998×body640valid
82.0ms568×body320valid
29.0ms291×body160valid

Profiling

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