Details

Time bar (total: 18.0s)

sample35.0ms

Algorithm
intervals
Results
18.0ms274×body80valid

simplify42.0ms

Counts
1 → 1
Iterations
IterNodes
done47
547
445
341
235
126
015

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
3.1b
(/ (* y b) t)
4.9b
(/ (* y z) t)
10.5b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
26×times-frac
22×distribute-lft-out
19×add-sqr-sqrt add-cube-cbrt
16×add-cbrt-cube add-exp-log
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
3×clear-num frac-2neg div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 105
Calls
4 calls:
11.0ms
(+ x (/ (* y z) t))
10.0ms
(/ (* y b) t)
10.0ms
(/ (* y z) t)
86.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ x (/ (* y z) t))
30.0ms
(/ (* y b) t)
29.0ms
(/ (* y z) t)
105.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.4s

Counts
117 → 117
Iterations
IterNodes
done5002
21740
1480
0183

prune732.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
3.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.9b
(/ (* y z) t)
10.5b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
43×times-frac
39×*-un-lft-identity
32×add-exp-log
31×add-cube-cbrt
25×add-cbrt-cube
22×associate-*r*
14×cbrt-prod
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-/r/
7×associate-*l*
6×pow1 associate-/r* frac-add unswap-sqr
5×flip3-+ flip-+ associate-/l*
4×insert-posit16 div-inv distribute-lft-out add-log-exp
3×frac-times associate-*l/ associate-*r/
2×clear-num frac-2neg associate-/l/
1×pow1/3 pow-prod-down *-commutative
Counts
4 → 136
Calls
4 calls:
1.0ms
(cbrt t)
45.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
17.0ms
(/ (* y z) t)
87.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series460.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(cbrt t)
64.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
27.0ms
(/ (* y z) t)
159.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify1.9s

Counts
148 → 148
Iterations
IterNodes
done5079
23436
1853
0287

prune864.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.9b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
3.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
10.5b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
65×times-frac
48×add-exp-log
44×associate-*r*
43×*-un-lft-identity add-cube-cbrt
34×add-cbrt-cube
25×cbrt-prod
16×prod-exp cbrt-unprod
15×cbrt-undiv div-exp
14×associate-*l*
12×unswap-sqr
8×pow1 associate-/r/
6×frac-add
5×flip3-+ flip-+ div-inv
4×frac-times associate-*l/ associate-*r/ insert-posit16 add-log-exp
3×associate-/r* associate-/l*
2×pow-prod-down *-commutative associate-/l/
1×clear-num frac-2neg pow1/3
Counts
4 → 170
Calls
4 calls:
1.0ms
(cbrt t)
56.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
56.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
56.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series792.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(cbrt t)
62.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
73.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
431.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify2.3s

Counts
182 → 182
Iterations
IterNodes
done5003
24234
1992
0325

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.9b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.4b
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ z (cbrt t))))
3.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
10.5b
(/ (+ x (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ z (cbrt t))))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
96×add-exp-log
51×add-cbrt-cube
47×add-sqr-sqrt
43×times-frac
40×prod-exp cbrt-unprod
31×*-un-lft-identity add-cube-cbrt
30×cbrt-undiv div-exp
23×associate-*r*
17×cbrt-prod associate-*l*
11×pow1
8×frac-times associate-*r/ associate-/r/
6×associate-*l/ frac-add unswap-sqr
5×flip3-+ flip-+
4×pow-prod-down insert-posit16 div-inv add-log-exp
3×associate-/r* associate-/l*
2×*-commutative associate-/l/
1×clear-num frac-2neg pow1/3
Counts
4 → 169
Calls
4 calls:
1.0ms
(cbrt y)
65.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ z (cbrt t))))
43.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
75.0ms
(/ (+ x (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ z (cbrt t))))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series672.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt y)
36.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ z (cbrt t))))
62.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
317.0ms
(/ (+ x (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ z (cbrt t))))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify2.6s

Counts
181 → 181
Iterations
IterNodes
done5007
24276
11071
0358

prune930.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 8.9b

regimes1.2s

Accuracy

34.5% (2.4b remaining)

Error of 12.6b against oracle of 10.3b and baseline of 13.9b

bsearch230.0ms

Steps
ItersRangePoint
10
3.265953934110677e-17
0.00018705152818348546
0.00018452693517560944
8
-3.591311124353581e+18
-11403404315933134.0
-9.025020228721649e+17

simplify14.0ms

Iterations
IterNodes
done56
156
042

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s8280×body80valid