Details

Time bar (total: 9.2s)

sample121.0ms

Algorithm
intervals
Results
49.0ms784×body80nan
17.0ms256×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune6.0ms

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: 1.5b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite39.0ms

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:
6.0ms
(* 3.0 (/ x (* y 27.0)))
5.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
12.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series40.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (/ x (* y 27.0)))
12.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
19.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
07621370
144411058
250011056

prune662.0ms

Filtered
142 candidates to 80 candidates (43.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1384142
Fresh000
Picked101
Done000
Total1394143

Merged error: 0.0b

Counts
143 → 4

localize18.0ms

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))
2.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite41.0ms

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))
15.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series42.0ms

Counts
4 → 10
Calls
4 calls:
16.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
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
162 → 162
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07771633
142501344
250021342

prune992.0ms

Filtered
162 candidates to 107 candidates (34.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1602162
Fresh213
Picked101
Done000
Total1633166

Merged error: 0b

Counts
166 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
2.9b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
4.6b
(/ x (* z y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log
28×add-cbrt-cube
23×associate-*l*
22×cbrt-prod
11×pow1 prod-exp cbrt-unprod
9×associate-*r*
7×associate-/r*
6×cbrt-undiv div-exp associate-/l*
4×pow-prod-down add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 128
Calls
4 calls:
7.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
9.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
4.0ms
(/ x (* z y))

series43.0ms

Counts
4 → 10
Calls
4 calls:
16.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
21.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.0ms
(/ x (* z y))

simplify68.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05641061
12630948
25001946

prune1.0s

Filtered
138 candidates to 106 candidates (23.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1380138
Fresh022
Picked011
Done000
Total1383141

Merged error: 0b

Counts
141 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b
(pow (* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))) 3)
1.0b
(/ 1.0 (cbrt 3.0))
2.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
86×add-exp-log
84×add-cbrt-cube
35×prod-exp cbrt-unprod
27×add-sqr-sqrt
26×cbrt-undiv div-exp
23×add-cube-cbrt *-un-lft-identity
20×times-frac
12×cbrt-prod
9×pow1
7×associate-/r*
6×associate-*r*
5×associate-*l*
4×sqrt-prod associate-/l* add-log-exp
3×pow-unpow pow-exp div-inv rem-cube-cbrt
2×pow-pow frac-2neg pow-prod-down associate-*l/ clear-num unswap-sqr
1×cube-div cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod associate-*r/ *-commutative associate-/l/ sqr-pow
Counts
4 → 135
Calls
4 calls:
6.0ms
(pow (* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))) 3)
4.0ms
(/ 1.0 (cbrt 3.0))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series57.0ms

Counts
4 → 10
Calls
4 calls:
32.0ms
(pow (* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))) 3)
0.0ms
(/ 1.0 (cbrt 3.0))
19.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify111.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07591323
144721051
250011051

prune1.3s

Filtered
145 candidates to 88 candidates (39.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1450145
Fresh011
Picked011
Done011
Total1453148

Merged error: 0b

Counts
148 → 3

regimes1.1s

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
02714
12714

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.4s23663×body80nan
504.0ms8000×body80valid

Profiling

Loading profile data...