Details

Time bar (total: 16.5s)

sample50.0ms

Algorithm
intervals
Results
18.0ms365×body80valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12713
29013
328813
475113
5129613
6155613
7158013
done158013

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.2b
(- (* x y) (* (* z 9.0) t))
7.9b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite104.0ms

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
expm1-log1p-u times-frac associate-*r* pow-prod-down log1p-expm1-u associate-/l*
cbrt-undiv flip3-- div-exp flip-- associate-/l/
sub-neg frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
38.0ms
(* (* z 9.0) t)
20.0ms
(- (* x y) (* (* z 9.0) t))
44.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series214.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (* z 9.0) t)
83.0ms
(- (* x y) (* (* z 9.0) t))
105.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.4s

Counts
71 → 71
Iterations

Useful iterations: 2 (262.0ms)

IterNodesCost
0127944
1344906
21424787
done5000787

prune279.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.8b

localize13.0ms

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))
5.0b
(/ (* x y) a)
6.6b
(/ (* t z) a)

rewrite72.0ms

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/
expm1-log1p-u log1p-expm1-u
associate-*l* div-inv
frac-2neg clear-num associate-/l*
sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 93
Calls
4 calls:
19.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
26.0ms
(* 4.5 (/ (* t z) a))
11.0ms
(/ (* x y) a)
13.0ms
(/ (* t z) a)

series286.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
35.0ms
(* 4.5 (/ (* t z) a))
23.0ms
(/ (* x y) a)
41.0ms
(/ (* t z) a)

simplify1.4s

Counts
105 → 105
Iterations

Useful iterations: 2 (272.0ms)

IterNodesCost
01571165
13991114
21475975
done5000975

prune383.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt a)
0.7b
(cbrt a)
4.4b
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
5.0b
(/ (* x y) a)

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
33×add-cbrt-cube
22×associate-*r*
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
17×prod-exp cbrt-unprod
15×cbrt-prod
10×cbrt-undiv div-exp
pow1
expm1-log1p-u log1p-expm1-u add-log-exp
associate-*r/ pow-prod-down associate-/r*
pow1/3 div-inv
frac-times frac-2neg associate-*l* associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 103
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
121.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
11.0ms
(/ (* x y) a)

series663.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt a)
260.0ms
(cbrt a)
86.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
28.0ms
(/ (* x y) a)

simplify1.8s

Counts
115 → 115
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01891423
15151355
223341009
done5000981

prune554.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* 0.5 (* x y)) (* 4.5 (* t z)))
0.2b
(* 4.5 (* t z))
7.7b
(/ (- (* 0.5 (* x y)) (* 4.5 (* t z))) a)

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
times-frac
pow1
add-log-exp
expm1-log1p-u associate-*l* pow-prod-down prod-exp associate-/r* cbrt-unprod log1p-expm1-u associate-/l*
flip3-- flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp associate-*r* prod-diff clear-num *-commutative div-inv
Counts
3 → 68
Calls
3 calls:
22.0ms
(- (* 0.5 (* x y)) (* 4.5 (* t z)))
38.0ms
(* 4.5 (* t z))
67.0ms
(/ (- (* 0.5 (* x y)) (* 4.5 (* t z))) a)

series287.0ms

Counts
3 → 9
Calls
3 calls:
130.0ms
(- (* 0.5 (* x y)) (* 4.5 (* t z)))
40.0ms
(* 4.5 (* t z))
118.0ms
(/ (- (* 0.5 (* x y)) (* 4.5 (* t z))) a)

simplify1.3s

Counts
77 → 77
Iterations

Useful iterations: 2 (248.0ms)

IterNodesCost
01241166
13071122
211381025
done50001025

prune282.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes836.0ms

Accuracy

89.6% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.5b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03381
14660
done4660

end0.0ms

sample1.4s

Algorithm
intervals
Results
597.0ms11248×body80valid