Details

Time bar (total: 10.2s)

sample37.0ms

Algorithm
intervals
Results
16.0ms361×body80valid

simplify1.0s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize23.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.5b
(- (* x y) (* (* z 9.0) t))
7.1b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
pow1
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
prod-exp cbrt-unprod
times-frac associate-*r* pow-prod-down associate-/l*
cbrt-undiv flip3-- div-exp flip-- associate-/l/
sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
35.0ms
(* (* z 9.0) t)
16.0ms
(- (* x y) (* (* z 9.0) t))
46.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series212.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* (* z 9.0) t)
79.0ms
(- (* x y) (* (* z 9.0) t))
114.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify629.0ms

Counts
63 → 63

prune187.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
4.9b
(/ (* t z) a)
6.3b
(/ (* x y) a)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
times-frac
associate-*r*
pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
associate-*r/
associate-*l* div-inv
frac-2neg clear-num associate-/l*
sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
18.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
20.0ms
(* 4.5 (/ (* t z) a))
23.0ms
(/ (* t z) a)
20.0ms
(/ (* x y) a)

series236.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
32.0ms
(* 4.5 (/ (* t z) a))
34.0ms
(/ (* t z) a)
23.0ms
(/ (* x y) a)

simplify848.0ms

Counts
95 → 95

prune326.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (/ (* 4.5 (* t z)) a))
0.2b
(* 4.5 (* t z))
4.9b
(/ (* 4.5 (* t z)) a)
6.3b
(/ (* x y) a)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
prod-exp cbrt-unprod
times-frac associate-/r* add-log-exp
cbrt-undiv div-exp
associate-*l* pow-prod-down
frac-2neg associate-*r/ clear-num div-inv associate-/l*
sub-neg flip3-- diff-log associate-*r* *-commutative frac-sub flip-- sub-div
Counts
4 → 76
Calls
4 calls:
36.0ms
(- (* 0.5 (/ (* x y) a)) (/ (* 4.5 (* t z)) a))
30.0ms
(* 4.5 (* t z))
31.0ms
(/ (* 4.5 (* t z)) a)
10.0ms
(/ (* x y) a)

series268.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(- (* 0.5 (/ (* x y) a)) (/ (* 4.5 (* t z)) a))
37.0ms
(* 4.5 (* t z))
46.0ms
(/ (* 4.5 (* t z)) a)
34.0ms
(/ (* x y) a)

simplify659.0ms

Counts
88 → 88

prune303.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (* (* t z) (/ 1 a))))
0.2b
(* 4.5 (* (* t z) (/ 1 a)))
5.0b
(* (* t z) (/ 1 a))
6.3b
(/ (* x y) a)

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
63×add-exp-log
39×add-cbrt-cube
34×prod-exp
18×pow1 cbrt-unprod
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ associate-*r*
12×times-frac
10×div-exp
pow-prod-down
cbrt-undiv add-log-exp
rec-exp 1-exp associate-*l* un-div-inv
associate-/r*
*-commutative frac-sub div-inv sub-div
sub-neg flip3-- frac-2neg diff-log clear-num flip-- associate-/l*
Counts
4 → 106
Calls
4 calls:
33.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (* (* t z) (/ 1 a))))
65.0ms
(* 4.5 (* (* t z) (/ 1 a)))
26.0ms
(* (* t z) (/ 1 a))
16.0ms
(/ (* x y) a)

series191.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (* (* t z) (/ 1 a))))
32.0ms
(* 4.5 (* (* t z) (/ 1 a)))
21.0ms
(* (* t z) (/ 1 a))
22.0ms
(/ (* x y) a)

simplify1.2s

Counts
118 → 118

prune270.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.7b

regimes789.0ms

Accuracy

-10.9% (7.7b remaining)

Error of 8.0b against oracle of 0.3b and baseline of 7.3b

bsearch1.0ms

simplify573.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s11133×body80valid