Details

Time bar (total: 7.9s)

sample88.0ms

Algorithm
intervals
Results
32.0ms728×body80nan
13.0ms256×body80valid

simplify64.0ms

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

localize20.0ms

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))

rewrite131.0ms

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:
10.0ms
(/ x (* y 27.0))
15.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
75.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
25.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series201.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ x (* y 27.0))
22.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
118.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify115.0ms

Counts
144 → 144
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
07321374
139331073
250021068
done50021068

prune378.0ms

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

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l* sqrt-prod
41×cbrt-prod
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 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:
28.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
10.0ms
(/ (sqrt 1.0) (cbrt 3.0))
75.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
24.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series308.0ms

Counts
4 → 10
Calls
4 calls:
147.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
123.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify129.0ms

Counts
211 → 211
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
08042288
141811987
250011976
done50011976

prune782.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
79×times-frac
76×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
44×sqrt-prod
41×cbrt-prod associate-*l*
30×add-exp-log
28×add-cbrt-cube
11×pow1 prod-exp cbrt-unprod
9×associate-*r* associate-/l*
7×associate-/r*
6×cbrt-undiv div-exp
5×unswap-sqr
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×div-inv
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 177
Calls
4 calls:
28.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
8.0ms
(/ (sqrt 1.0) (cbrt 3.0))
57.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
8.0ms
(/ x (* z y))

series289.0ms

Counts
4 → 10
Calls
4 calls:
137.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
121.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
31.0ms
(/ x (* z y))

simplify86.0ms

Counts
187 → 187
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05901657
125471532
250011521
done50011521

prune741.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
73×sqrt-prod
71×add-sqr-sqrt
66×times-frac
62×associate-*l*
49×add-cube-cbrt *-un-lft-identity
37×add-exp-log add-cbrt-cube
20×cbrt-prod
16×associate-*r*
15×prod-exp cbrt-unprod
13×pow1
8×unswap-sqr
7×cbrt-undiv div-exp
5×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative div-inv associate-/l*
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r*
Counts
4 → 164
Calls
4 calls:
22.0ms
(* 0.05555555555555555 (/ x (* z y)))
38.0ms
(* (/ (sqrt 1.0) (sqrt (cbrt 3.0))) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
58.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
8.0ms
(/ x (* z y))

series420.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 0.05555555555555555 (/ x (* z y)))
227.0ms
(* (/ (sqrt 1.0) (sqrt (cbrt 3.0))) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
122.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
27.0ms
(/ x (* z y))

simplify88.0ms

Counts
176 → 176
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
05871701
126521553
250021543
done50021543

prune670.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes334.0ms

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
02516
12516
done2516

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.1s23947×body80nan
416.0ms8000×body80valid