Details

Time bar (total: 7.3s)

sample91.0ms

Algorithm
intervals
Results
35.0ms728×body80nan
13.0ms256×body80valid

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110
done500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 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))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite123.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 132
Calls
4 calls:
8.0ms
(/ x (* y 27.0))
15.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
72.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series198.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ x (* y 27.0))
21.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
114.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify111.0ms

Counts
144 → 144
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
07321374
139331073
250021068
done50021068

prune385.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
2.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
82×cbrt-prod
81×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l*
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 201
Calls
4 calls:
27.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
7.0ms
(/ (cbrt 1.0) (cbrt 3.0))
74.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series285.0ms

Counts
4 → 10
Calls
4 calls:
128.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
116.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
41.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify127.0ms

Counts
211 → 211
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
08102285
142521988
250021983
done50021983

prune941.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.6b
(* (sqrt t) (/ x (* z y)))
4.5b
(/ x (* z y))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
34×add-cbrt-cube
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×prod-exp cbrt-unprod
12×times-frac
11×pow1
9×associate-*l*
8×cbrt-undiv div-exp associate-*r*
7×associate-/r*
6×cbrt-prod
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u associate-/l* add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
Counts
4 → 110
Calls
4 calls:
12.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
46.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
29.0ms
(* (sqrt t) (/ x (* z y)))
8.0ms
(/ x (* z y))

series317.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
82.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
87.0ms
(* (sqrt t) (/ x (* z y)))
25.0ms
(/ x (* z y))

simplify82.0ms

Counts
122 → 122
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0514960
12312833
25001827
done5001827

prune486.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.6b
(* (sqrt t) (/ x (* z y)))
4.1b
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
4.5b
(/ x (* z y))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
13×prod-exp cbrt-unprod
12×pow1 add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r*
6×cbrt-undiv times-frac div-exp
5×add-log-exp
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u
3×log-prod associate-*r/ log-pow associate-/l*
2×*-commutative div-inv unswap-sqr
1×exp-prod exp-to-pow frac-2neg rem-log-exp clear-num associate-/r*
Counts
4 → 97
Calls
4 calls:
51.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
25.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
9.0ms
(/ x (* z y))

series292.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
87.0ms
(* (sqrt t) (/ x (* z y)))
89.0ms
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
25.0ms
(/ x (* z y))

simplify65.0ms

Counts
109 → 109
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0420723
11937607
25001589
done5001589

prune493.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes276.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02820
12820
done2820

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s23947×body80nan
387.0ms8000×body80valid