Details

Time bar (total: 21.1s)

sample79.0ms

Algorithm
intervals
Results
30.0ms354×body80valid

simplify6.4s

Counts
1 → 1
Iterations
IterNodes
done2434
82434
72422
62265
51670
4779
3289
290
127
013

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize34.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.4b
(- (* x y) (* (* z 9.0) t))
8.0b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
8×pow1
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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×clear-num associate-/r* sub-neg frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
14.0ms
(* (* z 9.0) t)
7.0ms
(- (* x y) (* (* z 9.0) t))
30.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series265.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* (* z 9.0) t)
89.0ms
(- (* x y) (* (* z 9.0) t))
129.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.5s

Counts
71 → 71
Iterations
IterNodes
done5001
21771
1352
0127

prune571.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.9b

localize25.0ms

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))
6.0b
(/ (* t z) a)
6.8b
(/ (* x y) a)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
13×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv associate-/r* div-exp prod-exp cbrt-unprod add-log-exp
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* div-inv
2×clear-num frac-2neg 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:
14.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
24.0ms
(* 4.5 (/ (* t z) a))
14.0ms
(/ (* t z) a)
9.0ms
(/ (* x y) a)

series303.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
41.0ms
(* 4.5 (/ (* t z) a))
42.0ms
(/ (* t z) a)
43.0ms
(/ (* x y) a)

simplify1.4s

Counts
105 → 105
Iterations
IterNodes
done5001
22270
1433
0157

prune706.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize35.0ms

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))
4.0b
(/ x (/ a y))
6.0b
(/ (* t z) a)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
53×add-sqr-sqrt
51×*-un-lft-identity add-cube-cbrt
23×add-cbrt-cube add-exp-log
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-*l* associate-*r/
2×clear-num frac-2neg
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:
13.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
19.0ms
(* 4.5 (/ (* t z) a))
7.0ms
(/ x (/ a y))
8.0ms
(/ (* t z) a)

series247.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
34.0ms
(* 4.5 (/ (* t z) a))
28.0ms
(/ x (/ a y))
44.0ms
(/ (* t z) a)

simplify1.6s

Counts
153 → 153
Iterations
IterNodes
done5000
23325
1693
0263

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
4.0b
(/ x (/ a y))
4.5b
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
93×times-frac
61×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
41×add-exp-log
33×add-cbrt-cube
22×associate-*r*
16×prod-exp cbrt-unprod
15×cbrt-prod
13×associate-/r*
11×cbrt-undiv div-exp
9×pow1
6×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down associate-*r/ associate-/l*
2×pow1/3
1×frac-times clear-num frac-2neg associate-*l* associate-*l/ associate-/r/ *-commutative
Counts
4 → 152
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
14.0ms
(/ x (/ a y))
95.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))

series667.0ms

Counts
4 → 12
Calls
4 calls:
292.0ms
(cbrt a)
248.0ms
(cbrt a)
29.0ms
(/ x (/ a y))
97.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))

simplify893.0ms

Counts
164 → 164
Iterations
IterNodes
done5000
1844
0290

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.4s

Accuracy

34.3% (5.1b remaining)

Error of 5.1b against oracle of 0.0b and baseline of 7.8b

bsearch2.0ms

simplify19.0ms

Iterations
IterNodes
done61
361
258
155
042

end0.0ms

sample2.2s

Algorithm
intervals
Results
795.0ms11189×body80valid