Details

Time bar (total: 22.4s)

sample83.0ms

Algorithm
intervals
Results
34.0ms354×body80valid

simplify6.3s

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize22.0ms

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))

rewrite70.0ms

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:
22.0ms
(* (* z 9.0) t)
12.0ms
(- (* x y) (* (* z 9.0) t))
34.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series205.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* (* z 9.0) t)
86.0ms
(- (* x y) (* (* z 9.0) t))
81.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.1s

Counts
71 → 71
Iterations
IterNodes
done5001
21771
1352
0127

prune547.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ y a) (/ x 2.0)) (* (/ (* t 9.0) a) (/ z 2.0)))
0.2b
(/ (* t 9.0) a)
3.7b
(* (/ y a) (/ x 2.0))
5.0b
(* (/ (* t 9.0) a) (/ z 2.0))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
42×add-cbrt-cube add-exp-log
38×times-frac
29×*-un-lft-identity add-cube-cbrt
26×associate-*r*
20×associate-*l*
13×cbrt-undiv div-exp prod-exp cbrt-unprod
10×frac-times associate-*l/ associate-*r/
9×frac-sub
8×pow1
6×add-log-exp unswap-sqr
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×associate-/r* sub-div
2×pow-prod-down *-commutative
1×clear-num sub-neg frac-2neg flip3-- fma-neg diff-log prod-diff flip-- associate-/l*
Counts
4 → 151
Calls
4 calls:
24.0ms
(- (* (/ y a) (/ x 2.0)) (* (/ (* t 9.0) a) (/ z 2.0)))
16.0ms
(/ (* t 9.0) a)
30.0ms
(* (/ y a) (/ x 2.0))
28.0ms
(* (/ (* t 9.0) a) (/ z 2.0))

series253.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(- (* (/ y a) (/ x 2.0)) (* (/ (* t 9.0) a) (/ z 2.0)))
24.0ms
(/ (* t 9.0) a)
51.0ms
(* (/ y a) (/ x 2.0))
36.0ms
(* (/ (* t 9.0) a) (/ z 2.0))

simplify571.0ms

Counts
163 → 163
Iterations
IterNodes
done5000
1923
0294

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize102.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (/ y a) (/ x 2.0))
11.0b
(cbrt (/ (* t 9.0) a))
11.0b
(cbrt (/ (* t 9.0) a))
11.0b
(cbrt (/ t (/ a 9.0)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
94×times-frac
69×add-sqr-sqrt
58×cbrt-prod
57×*-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×associate-*r* associate-*l*
8×div-inv
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-div pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ associate-/r/ *-commutative
Counts
4 → 143
Calls
4 calls:
29.0ms
(* (/ y a) (/ x 2.0))
6.0ms
(cbrt (/ (* t 9.0) a))
6.0ms
(cbrt (/ (* t 9.0) a))
10.0ms
(cbrt (/ t (/ a 9.0)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (/ y a) (/ x 2.0))
154.0ms
(cbrt (/ (* t 9.0) a))
181.0ms
(cbrt (/ (* t 9.0) a))
133.0ms
(cbrt (/ t (/ a 9.0)))

simplify1.8s

Counts
155 → 155
Iterations
IterNodes
done5000
23183
1761
0355

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (* (cbrt (/ (* t 9.0) a)) (cbrt (/ (* t 9.0) a))) (* (* (cbrt t) (cbrt (/ 9.0 a))) (/ z 2.0)))
3.7b
(* (/ y a) (/ x 2.0))
11.0b
(cbrt (/ (* t 9.0) a))
11.0b
(cbrt (/ (* t 9.0) a))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
39×add-cbrt-cube
34×add-sqr-sqrt
31×prod-exp cbrt-unprod
28×times-frac
27×pow1
26×cbrt-div
22×*-un-lft-identity add-cube-cbrt
20×associate-*r/
18×frac-times
16×pow-prod-down
14×cbrt-prod associate-*r* associate-*l*
12×associate-*l/
8×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 141
Calls
4 calls:
130.0ms
(* (* (cbrt (/ (* t 9.0) a)) (cbrt (/ (* t 9.0) a))) (* (* (cbrt t) (cbrt (/ 9.0 a))) (/ z 2.0)))
40.0ms
(* (/ y a) (/ x 2.0))
3.0ms
(cbrt (/ (* t 9.0) a))
4.0ms
(cbrt (/ (* t 9.0) a))

series790.0ms

Counts
4 → 12
Calls
4 calls:
431.0ms
(* (* (cbrt (/ (* t 9.0) a)) (cbrt (/ (* t 9.0) a))) (* (* (cbrt t) (cbrt (/ 9.0 a))) (/ z 2.0)))
49.0ms
(* (/ y a) (/ x 2.0))
157.0ms
(cbrt (/ (* t 9.0) a))
153.0ms
(cbrt (/ (* t 9.0) a))

simplify1.9s

Counts
153 → 153
Iterations
IterNodes
done5002
24077
1816
0281

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes1.8s

Accuracy

88.9% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 8.8b

bsearch3.0ms

simplify13.0ms

Iterations
IterNodes
done47
347
245
142
030

end0.0ms

sample1.8s

Algorithm
intervals
Results
844.0ms11189×body80valid