Details

Time bar (total: 12.1s)

sample32.0ms

Algorithm
intervals
Results
12.0ms356×body80valid

simplify3.1s

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: 9.6b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u times-frac associate-*r* pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×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:
18.0ms
(* (* z 9.0) t)
9.0ms
(- (* x y) (* (* z 9.0) t))
28.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series158.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* (* z 9.0) t)
59.0ms
(- (* x y) (* (* z 9.0) t))
79.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.1s

Counts
71 → 71
Iterations

Useful iterations: 2 (198.0ms)

IterNodesCost
0127944
1344906
21424787
done5000787

prune216.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.2b

localize11.0ms

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))
5.7b
(/ (* x y) a)
9.1b
(/ (* t z) a)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×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)))
19.0ms
(* 4.5 (/ (* t z) a))
13.0ms
(/ (* x y) a)
10.0ms
(/ (* t z) a)

series205.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
32.0ms
(* 4.5 (/ (* t z) a))
26.0ms
(/ (* x y) a)
23.0ms
(/ (* t z) a)

simplify941.0ms

Counts
105 → 105
Iterations

Useful iterations: 2 (198.0ms)

IterNodesCost
01571165
13991114
21475975
done5000975

prune306.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
4.3b
(/ x (/ a y))
9.1b
(/ (* t z) a)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
53×add-sqr-sqrt
51×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
16×associate-/r*
7×cbrt-undiv div-exp associate-*r* div-inv
6×pow1 add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u associate-/l*
3×associate-*r/ associate-*l*
2×frac-2neg clear-num
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down associate-/r/ *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 141
Calls
4 calls:
18.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
20.0ms
(* 4.5 (/ (* t z) a))
10.0ms
(/ x (/ a y))
15.0ms
(/ (* t z) a)

series193.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
36.0ms
(* 4.5 (/ (* t z) a))
25.0ms
(/ x (/ a y))
28.0ms
(/ (* t z) a)

simplify1.1s

Counts
153 → 153
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02631836
16031725
220731578
done50011576

prune440.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ x (/ a y)))
0.0b
(- (* 0.5 (/ x (/ a y))) (* (* 4.5 t) (/ z a)))
4.3b
(/ x (/ a y))
5.5b
(* (* 4.5 t) (/ z a))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
57×associate-*r*
30×add-exp-log add-cbrt-cube
13×associate-/r*
11×pow1
10×div-inv
9×prod-exp cbrt-unprod
8×cbrt-undiv div-exp
6×add-log-exp
4×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down log1p-expm1-u
3×associate-/l* unswap-sqr
2×associate-/r/ *-commutative
1×sub-neg flip3-- frac-2neg fma-neg diff-log prod-diff clear-num frac-sub flip--
Counts
4 → 192
Calls
4 calls:
29.0ms
(* 0.5 (/ x (/ a y)))
22.0ms
(- (* 0.5 (/ x (/ a y))) (* (* 4.5 t) (/ z a)))
9.0ms
(/ x (/ a y))
26.0ms
(* (* 4.5 t) (/ z a))

series191.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* 0.5 (/ x (/ a y)))
99.0ms
(- (* 0.5 (/ x (/ a y))) (* (* 4.5 t) (/ z a)))
23.0ms
(/ x (/ a y))
32.0ms
(* (* 4.5 t) (/ z a))

simplify1.6s

Counts
204 → 204
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03292495
18072289
229562118
done50002115

prune578.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes716.0ms

Accuracy

89.5% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 8.1b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
043125
159111
done59111

end0.0ms

sample833.0ms

Algorithm
intervals
Results
368.0ms11050×body80valid