Details

Time bar (total: 5.2s)

sample113.0ms

Algorithm
intervals
Results
47.0ms700×body80nan
17.0ms256×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize13.0ms

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))))
2.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite40.0ms

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)))
5.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
14.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series37.0ms

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))))
20.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify101.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07621370
144411058
250011056

prune175.0ms

Filtered
80 candidates to 142 candidates (-77.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1402142
Fresh000
Picked101
Done000
Total1412143

Merged error: 0b

Counts
143 → 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))
2.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite39.0ms

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))

series46.0ms

Counts
4 → 10
Calls
4 calls:
17.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
23.0ms
(* (/ (* 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 (85.0ms)

IterNodesCost
07771633
142501344
250021342

prune350.0ms

Filtered
107 candidates to 162 candidates (-51.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1620162
Fresh011
Picked011
Done000
Total1622164

Merged error: 0b

Counts
164 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (* y 27.0))
0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (* 3.0 (/ x (* y 27.0))) (/ (sqrt t) (* z 2.0)))))
6.0b
(* (* 3.0 (/ x (* y 27.0))) (/ (sqrt t) (* z 2.0)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log add-cbrt-cube
35×prod-exp cbrt-unprod
27×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt *-un-lft-identity associate-*r*
19×cbrt-undiv div-exp
17×associate-*l*
13×pow1
5×pow-prod-down
4×associate-*r/ div-inv add-log-exp
3×sqrt-prod *-commutative associate-/l* unswap-sqr
2×associate-*l/
1×frac-times frac-2neg clear-num associate-/r*
Counts
4 → 128
Calls
4 calls:
4.0ms
(/ x (* y 27.0))
6.0ms
(* 3.0 (/ x (* y 27.0)))
5.0ms
(* (/ 1.0 3.0) (acos (* (* 3.0 (/ x (* y 27.0))) (/ (sqrt t) (* z 2.0)))))
12.0ms
(* (* 3.0 (/ x (* y 27.0))) (/ (sqrt t) (* z 2.0)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ x (* y 27.0))
3.0ms
(* 3.0 (/ x (* y 27.0)))
8.0ms
(* (/ 1.0 3.0) (acos (* (* 3.0 (/ x (* y 27.0))) (/ (sqrt t) (* z 2.0)))))
24.0ms
(* (* 3.0 (/ x (* y 27.0))) (/ (sqrt t) (* z 2.0)))

simplify99.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07791261
14248982
25003980

prune152.0ms

Filtered
84 candidates to 140 candidates (-66.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1400140
Fresh000
Picked011
Done011
Total1402142

Merged error: 0b

Counts
142 → 2

regimes607.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03116
13116

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.5s23205×body80nan
549.0ms8000×body80valid

Profiling

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