Details

Time bar (total: 15.5s)

sample180.0ms

Algorithm
intervals
Results
84.0ms753×body80nan
23.0ms256×body80valid

simplify687.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite179.0ms

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:
13.0ms
(/ x (* y 27.0))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
89.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
51.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series185.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ x (* y 27.0))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
99.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
45.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify460.0ms

Counts
136 → 136

prune389.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

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))
4.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite202.0ms

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×div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 193
Calls
4 calls:
28.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
9.0ms
(/ (sqrt 1.0) (cbrt 3.0))
118.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series305.0ms

Counts
4 → 10
Calls
4 calls:
148.0ms
(* (/ (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))
122.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
36.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify504.0ms

Counts
203 → 203

prune922.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

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))
3.0b
(/ (* 0.05555555555555555 x) (* z y))
4.1b
(* (/ (* 0.05555555555555555 x) (* z y)) (sqrt t))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l* sqrt-prod
41×add-exp-log cbrt-prod
39×add-cbrt-cube
15×prod-exp cbrt-unprod
10×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 176
Calls
4 calls:
45.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 0.05555555555555555 x) (* z y)) (sqrt t))))
12.0ms
(/ (sqrt 1.0) (cbrt 3.0))
14.0ms
(/ (* 0.05555555555555555 x) (* z y))
66.0ms
(* (/ (* 0.05555555555555555 x) (* z y)) (sqrt t))

series294.0ms

Counts
4 → 10
Calls
4 calls:
144.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 0.05555555555555555 x) (* z y)) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
31.0ms
(/ (* 0.05555555555555555 x) (* z y))
119.0ms
(* (/ (* 0.05555555555555555 x) (* z y)) (sqrt t))

simplify1.5s

Counts
186 → 186

prune779.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ x (* y 27.0))
1.0b
(* (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 3.0))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt 3.0)))) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
101×add-exp-log add-cbrt-cube
43×prod-exp cbrt-unprod
30×cbrt-undiv div-exp
14×add-sqr-sqrt
11×pow1
10×add-cube-cbrt *-un-lft-identity
9×associate-*r*
6×associate-*l*
5×times-frac associate-*l/
4×pow-prod-down sqrt-prod associate-/l* add-log-exp
3×div-inv
2×frac-2neg associate-*r/ clear-num associate-/r* *-commutative unswap-sqr
1×frac-times associate-/l/
Counts
4 → 119
Calls
4 calls:
9.0ms
(/ x (* y 27.0))
180.0ms
(* (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 3.0))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt 3.0)))) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
76.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
33.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series432.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ x (* y 27.0))
258.0ms
(* (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 3.0))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt 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))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify459.0ms

Counts
131 → 131

prune581.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes389.0ms

Accuracy

0.4% (0.4b remaining)

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

bsearch0.0ms

simplify817.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
3.0s23792×body80nan
885.0ms8000×body80valid