Details

Time bar (total: 2.8s)

sample43.0ms

Algorithm
intervals
Results
11.0ms36×body1280valid
10.0ms190×body80valid
6.0ms27×body640valid
1.0ms10×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

localize8.0ms

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)

rewrite27.0ms

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:
7.0ms
(* x (/ (sin y) y))
9.0ms
(/ (sin y) y)
7.0ms
(/ (* x (/ (sin y) y)) z)

series32.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(* x (/ (sin y) y))
5.0ms
(/ (sin y) y)
16.0ms
(/ (* x (/ (sin y) y)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05459739

prune100.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New87592
Fresh101
Picked011
Done000
Total88694

Merged error: 0b

Counts
94 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(* (cbrt z) (cbrt z))
2.3b
(* (/ (sin y) y) (/ x (* (cbrt z) (cbrt z))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
27×add-exp-log
23×add-cube-cbrt *-un-lft-identity
22×cbrt-prod
21×add-cbrt-cube
19×associate-*l*
16×times-frac
13×pow1 associate-*r*
9×prod-exp cbrt-unprod
8×pow1/3 unswap-sqr
7×cbrt-undiv div-exp
6×swap-sqr
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*r/ associate-*l/
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
6.0ms
(* (cbrt z) (cbrt z))
13.0ms
(* (/ (sin y) y) (/ x (* (cbrt z) (cbrt z))))

series124.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt z)
24.0ms
(cbrt z)
31.0ms
(* (cbrt z) (cbrt z))
44.0ms
(* (/ (sin y) y) (/ x (* (cbrt z) (cbrt z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05013934

prune130.0ms

Filtered
84 candidates to 122 candidates (-45.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh044
Picked011
Done011
Total1226128

Merged error: 0b

Counts
128 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
2.9b
(/ (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (/ y (cbrt (sin y))))) z)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
23×add-cbrt-cube
12×cbrt-undiv div-exp
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
4×pow1 add-log-exp
3×times-frac pow1/3 associate-/r*
1×frac-2neg associate-*r/ clear-num div-inv associate-/l/ associate-/l*
Counts
4 → 63
Calls
4 calls:
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
16.0ms
(/ (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (/ y (cbrt (sin y))))) z)

series78.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt (sin y))
20.0ms
(cbrt (sin y))
21.0ms
(cbrt (sin y))
16.0ms
(/ (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (/ y (cbrt (sin y))))) z)

simplify32.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05075546

prune70.0ms

Filtered
49 candidates to 75 candidates (-53.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh033
Picked011
Done022
Total75681

Merged error: 0b

Counts
81 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (sin y))
4.0b
(/ x (* y (/ z (sin y))))
7.9b
(* 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:
4.0ms
(/ z (sin y))
7.0ms
(/ x (* y (/ z (sin y))))
8.0ms
(* y (/ z (sin y)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ z (sin y))
16.0ms
(/ x (* y (/ z (sin y))))
13.0ms
(* y (/ z (sin y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05126737

prune72.0ms

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

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh022
Picked011
Done033
Total92698

Merged error: 0b

Counts
98 → 6

regimes397.0ms

Accuracy

90.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.6b

bsearch56.0ms

Steps
ItersRangePoint
8
4.227347176163769e-19
4.761529482205169e-16
2.143665421353751e-17
10
-1.7205894411264096e+45
-8.534522168063439e+34
-1.9270894963482445e+36

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02125
12125

end0.0ms

sample1.3s

Algorithm
intervals
Results
305.0ms5896×body80valid
303.0ms988×body1280valid
225.0ms1019×body640valid
85.0ms541×body320valid
29.0ms276×body160valid

Profiling

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