Details

Time bar (total: 17.9s)

sample67.0ms

Algorithm
intervals
Results
28.0ms351×body80valid

simplify4.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12713
29013
328813
475113
5129613
6155613
7158013
done158013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.5b
(* (* z 9.0) t)
0.8b
(- (* x y) (* (* z 9.0) t))
8.4b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite94.0ms

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:
42.0ms
(* (* z 9.0) t)
17.0ms
(- (* x y) (* (* z 9.0) t))
32.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series275.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* (* z 9.0) t)
105.0ms
(- (* x y) (* (* z 9.0) t))
130.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.8s

Counts
71 → 71
Iterations

Useful iterations: 2 (348.0ms)

IterNodesCost
0127944
1344906
21424787
done5000787

prune388.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.6b

localize25.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* t z) 9.0)
0.8b
(- (* x y) (pow (* (* t z) 9.0) 1))
8.4b
(/ (- (* x y) (pow (* (* t z) 9.0) 1)) (* a 2.0))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×prod-diff 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 unpow-prod-down frac-2neg fma-neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv sqr-pow
Counts
3 → 66
Calls
3 calls:
28.0ms
(* (* t z) 9.0)
22.0ms
(- (* x y) (pow (* (* t z) 9.0) 1))
44.0ms
(/ (- (* x y) (pow (* (* t z) 9.0) 1)) (* a 2.0))

series218.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* (* t z) 9.0)
93.0ms
(- (* x y) (pow (* (* t z) 9.0) 1))
84.0ms
(/ (- (* x y) (pow (* (* t z) 9.0) 1)) (* a 2.0))

simplify1.9s

Counts
75 → 75
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01561309
1393993
21596852
done5000850

prune352.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 8.6b

localize15.0ms

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))
6.3b
(/ (* t z) a)
7.2b
(/ (* x y) a)

rewrite101.0ms

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:
20.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
32.0ms
(* 4.5 (/ (* t z) a))
20.0ms
(/ (* t z) a)
26.0ms
(/ (* x y) a)

series260.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
51.0ms
(* 4.5 (/ (* t z) a))
27.0ms
(/ (* t z) a)
37.0ms
(/ (* x y) a)

simplify1.4s

Counts
105 → 105
Iterations

Useful iterations: 2 (244.0ms)

IterNodesCost
01571165
13991114
21477975
done5000975

prune330.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
0.2b
(* 4.5 (/ t (/ a z)))
4.6b
(/ t (/ a z))
7.2b
(/ (* x y) a)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
93×add-sqr-sqrt
84×add-cube-cbrt *-un-lft-identity
44×associate-*r*
23×add-exp-log add-cbrt-cube
16×associate-/r*
10×div-inv
8×cbrt-undiv div-exp
6×pow1 add-log-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u associate-/l*
3×associate-*r/ associate-*l* unswap-sqr
2×frac-2neg clear-num associate-/r/
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip--
Counts
4 → 180
Calls
4 calls:
35.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
37.0ms
(* 4.5 (/ t (/ a z)))
10.0ms
(/ t (/ a z))
10.0ms
(/ (* x y) a)

series339.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
49.0ms
(* 4.5 (/ t (/ a z)))
33.0ms
(/ t (/ a z))
47.0ms
(/ (* x y) a)

simplify1.8s

Counts
192 → 192
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03012310
17152133
224241990
done50011984

prune953.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes702.0ms

Accuracy

44.5% (4.1b remaining)

Error of 4.2b against oracle of 0.0b and baseline of 7.5b

bsearch205.0ms

Steps
ItersRangePoint
9
3.237101006038418e+27
1.5468469115032484e+34
6.410488479949775e+28
7
-1.538788718343189e-99
-4.494716191071896e-101
-1.228510223266635e-99

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03358
14158
done4158

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.3s11105×body80valid