Details

Time bar (total: 6.2s)

sample95.0ms

Algorithm
intervals
Results
46.0ms736×body80nan
16.0ms256×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.7b

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))))
2.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.6b
(/ (* 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:
10.0ms
(* 3.0 (/ x (* y 27.0)))
6.0ms
(* (/ 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))

series154.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 3.0 (/ x (* y 27.0)))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify108.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
07401370
142811055
250021053

prune269.0ms

Filtered
142 candidates to 79 candidates (55.6%)
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))
2.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite40.0ms

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

series191.0ms

Counts
4 → 10
Calls
4 calls:
75.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
89.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07551633
140891341
250011339

prune428.0ms

Filtered
162 candidates to 106 candidates (65.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1611162
Fresh123
Picked011
Done000
Total1624166

Merged error: 0b

Counts
166 → 4

localize19.0ms

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))
2.6b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.2b
(/ 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))

series188.0ms

Counts
4 → 10
Calls
4 calls:
75.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
93.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
20.0ms
(/ x (* z y))

simplify67.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05411061
12471945
25002936

prune408.0ms

Filtered
138 candidates to 105 candidates (76.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1371138
Fresh112
Picked101
Done011
Total1393142

Merged error: 0b

Counts
142 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 0.05555555555555555 x) (sqrt t))
1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (/ (* (* 0.05555555555555555 x) (sqrt t)) (* z y))))
1.0b
(/ 1.0 (cbrt 3.0))
8.1b
(/ (* (* 0.05555555555555555 x) (sqrt t)) (* z y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×times-frac
37×add-exp-log
35×add-cube-cbrt *-un-lft-identity add-cbrt-cube
23×associate-*l*
22×cbrt-prod
14×prod-exp cbrt-unprod
11×pow1
9×associate-*r*
8×cbrt-undiv div-exp
7×associate-/r*
4×pow-prod-down associate-/l* add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×frac-2neg clear-num *-commutative
1×associate-*l/
Counts
4 → 127
Calls
4 calls:
6.0ms
(* (* 0.05555555555555555 x) (sqrt t))
7.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (/ (* (* 0.05555555555555555 x) (sqrt t)) (* z y))))
4.0ms
(/ 1.0 (cbrt 3.0))
8.0ms
(/ (* (* 0.05555555555555555 x) (sqrt t)) (* z y))

series218.0ms

Counts
4 → 10
Calls
4 calls:
58.0ms
(* (* 0.05555555555555555 x) (sqrt t))
76.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (/ (* (* 0.05555555555555555 x) (sqrt t)) (* z y))))
0.0ms
(/ 1.0 (cbrt 3.0))
84.0ms
(/ (* (* 0.05555555555555555 x) (sqrt t)) (* z y))

simplify84.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06571131
13348986
25001984

prune373.0ms

Filtered
137 candidates to 101 candidates (73.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh011
Picked011
Done011
Total1373140

Merged error: 0b

Counts
140 → 3

regimes393.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.5s24710×body80nan
506.0ms8000×body80valid

Profiling

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