Details

Time bar (total: 11.6s)

sample63.0ms

Algorithm
intervals
Results
37.0ms345×body80valid

simplify900.0ms

Counts
1 → 1
Iterations
IterNodes
done2003
91857
81548
7962
6412
5205
4128
363
230
116
09

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ (* y (- z t)) a))
8.5b
(/ (* y (- z t)) a)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×associate-/r* sub-neg times-frac flip3-- associate-*l* insert-posit16 flip--
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares associate-/l/
1×clear-num frac-2neg diff-log pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 66
Calls
3 calls:
16.0ms
(* y (- z t))
11.0ms
(- x (/ (* y (- z t)) a))
27.0ms
(/ (* y (- z t)) a)

series229.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* y (- z t))
90.0ms
(- x (/ (* y (- z t)) a))
87.0ms
(/ (* y (- z t)) a)

simplify745.0ms

Counts
75 → 75
Iterations
IterNodes
done2002
2855
1312
0123

prune386.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
5.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×insert-posit16 add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 108
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
41.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series1.0s

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt a)
310.0ms
(cbrt a)
333.0ms
(cbrt a)
118.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify420.0ms

Counts
120 → 120
Iterations
IterNodes
done2000
1508
0163

prune689.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize90.0ms

Local error

Found 4 expressions with local error:

5.6b
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
5.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
5.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
5.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
145×add-sqr-sqrt
120×times-frac
102×associate-*r*
97×*-un-lft-identity
67×add-exp-log
61×add-cube-cbrt
52×cbrt-prod
46×add-cbrt-cube
24×prod-exp cbrt-unprod
21×cbrt-undiv div-exp associate-*l*
18×distribute-lft-out-- difference-of-squares unswap-sqr
10×pow1
6×div-inv
4×frac-times associate-*l/ associate-*r/ insert-posit16 add-log-exp
3×cbrt-div pow-prod-down *-commutative
1×pow1/3
Counts
4 → 229
Calls
4 calls:
23.0ms
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
36.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
72.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
36.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series569.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
127.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
134.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
132.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify541.0ms

Counts
241 → 241
Iterations
IterNodes
done2000
1550
0193

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
6.7b
(/ y (/ a (- z t)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-cbrt-cube add-exp-log
6×flip3-- div-inv flip-- associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 insert-posit16
2×clear-num frac-2neg
1×sub-neg diff-log
Counts
3 → 158
Calls
3 calls:
24.0ms
(- x (/ y (/ a (- z t))))
8.0ms
(/ a (- z t))
15.0ms
(/ y (/ a (- z t)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- x (/ y (/ a (- z t))))
45.0ms
(/ a (- z t))
81.0ms
(/ y (/ a (- z t)))

simplify484.0ms

Counts
167 → 167
Iterations
IterNodes
done2000
1626
0256

prune762.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes999.0ms

Accuracy

71.5% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.3b

bsearch129.0ms

Steps
ItersRangePoint
10
1.3604530968859465e-33
1.297667465286412e-23
1.3603908647454576e-28
9
-2.1664976836902173e-51
-1.533400212308845e-56
-2.0994806737492123e-51

simplify6.0ms

Iterations
IterNodes
done35
335
234
130
021

end0.0ms

sample1.4s

Algorithm
intervals
Results
958.0ms10688×body80valid