Details

Time bar (total: 5.2s)

sample114.0ms

Algorithm
intervals
Results
57.0ms728×body80nan
18.0ms256×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 1.2b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
15×times-frac
9×associate-*r*
8×pow1
4×sqrt-prod div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 124
Calls
4 calls:
5.0ms
(/ 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))

series164.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ x (* y 27.0))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
101.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
28.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify96.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07221318
139171017
250011015

prune363.0ms

Filtered
136 candidates to 77 candidates (56.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1342136
Fresh000
Picked101
Done000
Total1352137

Merged error: 0b

Counts
137 → 2

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))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.3b
(/ (* 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))))
6.0ms
(/ 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))

series217.0ms

Counts
4 → 10
Calls
4 calls:
81.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
98.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07551633
140891341
250011341

prune446.0ms

Filtered
162 candidates to 107 candidates (66.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1620162
Fresh011
Picked011
Done000
Total1622164

Merged error: 0b

Counts
164 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.1b
(* (sqrt t) (/ x (* z y)))
4.9b
(/ x (* z y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×pow1 add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×associate-*r*
6×cbrt-undiv times-frac div-exp
5×pow-prod-down
4×sqrt-prod add-log-exp
3×associate-*r/ *-commutative associate-/l* unswap-sqr
2×div-inv
1×frac-2neg clear-num associate-/r*
Counts
4 → 93
Calls
4 calls:
3.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
9.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
14.0ms
(* (sqrt t) (/ x (* z y)))
4.0ms
(/ x (* z y))

series182.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
75.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
72.0ms
(* (sqrt t) (/ x (* z y)))
20.0ms
(/ x (* z y))

simplify58.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0445733
12061610
25001598

prune195.0ms

Filtered
105 candidates to 67 candidates (63.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh000
Picked011
Done011
Total1052107

Merged error: 0b

Counts
107 → 2

regimes228.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03116
13116

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.4s23633×body80nan
519.0ms8000×body80valid

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