Details

Time bar (total: 5.2s)

sample118.0ms

Algorithm
intervals
Results
49.0ms800×body80nan
17.0ms256×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.0b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×sqrt-prod div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 130
Calls
4 calls:
7.0ms
(* 3.0 (/ x (* y 27.0)))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
12.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series34.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (/ x (* y 27.0)))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
18.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify130.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
07621370
144411058
250011056

prune175.0ms

Filtered
142 candidates to 80 candidates (43.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1393142
Fresh000
Picked101
Done000
Total1403143

Merged error: 0.0b

Counts
143 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
1.9b
(* (sqrt t) (/ x (* z y)))
5.2b
(/ x (* z y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
13×prod-exp cbrt-unprod
10×pow1 add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r*
6×cbrt-undiv times-frac div-exp
4×pow-prod-down sqrt-prod
3×associate-*r/ associate-/l* add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r*
Counts
3 → 75
Calls
3 calls:
9.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
8.0ms
(* (sqrt t) (/ x (* z y)))
4.0ms
(/ x (* z y))

series47.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
18.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

simplify55.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0424529
12112447
25001447

prune82.0ms

Filtered
84 candidates to 51 candidates (39.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New83184
Fresh112
Picked101
Done000
Total85287

Merged error: 0.0b

Counts
87 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

5.2b
(/ x (* z y))
18.2b
(cbrt (/ x (* z y)))
18.2b
(cbrt (/ x (* z y)))
18.2b
(cbrt (/ x (* z y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
4×pow1 div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 69
Calls
4 calls:
4.0ms
(/ x (* z y))
3.0ms
(cbrt (/ x (* z y)))
3.0ms
(cbrt (/ x (* z y)))
3.0ms
(cbrt (/ x (* z y)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (* z y))
19.0ms
(cbrt (/ x (* z y)))
18.0ms
(cbrt (/ x (* z y)))
21.0ms
(cbrt (/ x (* z y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0191458
1587413
22493371
35001364

prune102.0ms

Filtered
81 candidates to 64 candidates (21.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New81081
Fresh011
Picked011
Done000
Total81283

Merged error: 0.0b

Counts
83 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
1.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×prod-exp cbrt-unprod
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×sqrt-prod div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 152
Calls
4 calls:
7.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
12.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series39.0ms

Counts
4 → 10
Calls
4 calls:
15.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
18.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify102.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07771633
142501344
250021342

prune338.0ms

Filtered
162 candidates to 107 candidates (34.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1611162
Fresh000
Picked101
Done011
Total1622164

Merged error: 0b

Counts
164 → 2

regimes251.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.5s24359×body80nan
534.0ms8000×body80valid

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