Details

Time bar (total: 22.2s)

sample49.0ms

Algorithm
intervals
Results
20.0ms354×body80valid

simplify6.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12713
29013
328913
477713
5168213
6227913
7244013
8245213
done245213

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.5b
(- (* x y) (* (* z 9.0) t))
9.5b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite78.0ms

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:
40.0ms
(* (* z 9.0) t)
10.0ms
(- (* x y) (* (* z 9.0) t))
26.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series251.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* (* z 9.0) t)
89.0ms
(- (* x y) (* (* z 9.0) t))
123.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.6s

Counts
71 → 71
Iterations

Useful iterations: 2 (310.0ms)

IterNodesCost
0127944
1352906
21799787
done5000787

prune267.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.3b
(* 4.5 (/ (* t z) a))
5.4b
(/ (* t z) a)
8.1b
(/ (* x y) a)

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*r*
12×times-frac
10×prod-exp cbrt-unprod
pow1 cbrt-undiv div-exp
associate-*l* associate-/r*
expm1-log1p-u log1p-expm1-u div-inv add-log-exp
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
4 → 104
Calls
4 calls:
55.0ms
(* 0.5 (/ (* x y) a))
41.0ms
(* 4.5 (/ (* t z) a))
18.0ms
(/ (* t z) a)
11.0ms
(/ (* x y) a)

series180.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 0.5 (/ (* x y) a))
44.0ms
(* 4.5 (/ (* t z) a))
45.0ms
(/ (* t z) a)
51.0ms
(/ (* x y) a)

simplify1.3s

Counts
116 → 116
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01541036
14161002
22237858
done5000830

prune553.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
4.3b
(* (* 0.5 (/ x (* (cbrt a) (cbrt a)))) (/ y (cbrt a)))
5.4b
(/ (* t z) a)

rewrite163.0ms

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)
145.0ms
(* (* 0.5 (/ x (* (cbrt a) (cbrt a)))) (/ y (cbrt a)))
11.0ms
(/ (* t z) a)

series825.0ms

Counts
4 → 12
Calls
4 calls:
322.0ms
(cbrt a)
327.0ms
(cbrt a)
130.0ms
(* (* 0.5 (/ x (* (cbrt a) (cbrt a)))) (/ y (cbrt a)))
45.0ms
(/ (* t z) a)

simplify3.1s

Counts
115 → 115
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01891423
15821361
238281027
done5002994

prune551.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (* 0.5 x) (/ y a)) (* 4.5 (/ (* t z) a)))
0.3b
(* 4.5 (/ (* t z) a))
4.7b
(* (* 0.5 x) (/ y a))
5.4b
(/ (* t z) a)

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
20×associate-*r*
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
15×times-frac
11×pow1 prod-exp cbrt-unprod
cbrt-undiv associate-*r/ div-exp add-log-exp
expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u
associate-/r* div-inv
*-commutative
sub-neg flip3-- frac-2neg fma-neg diff-log prod-diff clear-num frac-sub flip-- associate-/l* sub-div unswap-sqr
Counts
4 → 105
Calls
4 calls:
52.0ms
(- (* (* 0.5 x) (/ y a)) (* 4.5 (/ (* t z) a)))
19.0ms
(* 4.5 (/ (* t z) a))
47.0ms
(* (* 0.5 x) (/ y a))
19.0ms
(/ (* t z) a)

series321.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(- (* (* 0.5 x) (/ y a)) (* 4.5 (/ (* t z) a)))
49.0ms
(* 4.5 (/ (* t z) a))
53.0ms
(* (* 0.5 x) (/ y a))
34.0ms
(/ (* t z) a)

simplify2.5s

Counts
117 → 117
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01871364
15381288
234151133
done50021123

prune370.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes941.0ms

Accuracy

92.8% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 8.4b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
041119
152119
done52119

end0.0ms

sample1.8s

Algorithm
intervals
Results
884.0ms11085×body80valid