Details

Time bar (total: 15.1s)

sample38.0ms

Algorithm
intervals
Results
16.0ms348×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
102661
9873
8449
7284
6206
5148
489
346
226
115
09

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (/ y a) (- t z)))
7.3b
(* (/ y a) (- t z))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×sub-neg associate-*r*
4×distribute-rgt-in pow1 distribute-lft-in associate--r+ add-log-exp
3×flip3-- flip--
2×frac-times prod-exp associate-*r/ cbrt-unprod unswap-sqr
1×cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 58
Calls
2 calls:
9.0ms
(- x (* (/ y a) (- t z)))
46.0ms
(* (/ y a) (- t z))

series192.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(- x (* (/ y a) (- t z)))
93.0ms
(* (/ y a) (- t z))

simplify710.0ms

Counts
64 → 64
Iterations
IterNodes
done5001
21424
1323
0124

prune376.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.9b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt a) (cbrt a))) (/ (* (- t z) (cbrt y)) (cbrt a)))
1.4b
(/ (* (- t z) (cbrt y)) (cbrt a))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log
36×add-cbrt-cube
33×prod-exp cbrt-unprod
24×cbrt-undiv div-exp
17×add-sqr-sqrt
15×cbrt-prod
14×*-un-lft-identity times-frac add-cube-cbrt
10×associate-*r*
6×pow1 associate-/r*
5×associate-*l*
4×add-log-exp
3×associate-*l/ div-inv
2×pow1/3 unswap-sqr associate-/l/
1×frac-times clear-num frac-2neg flip3-- pow-prod-down associate-*r/ *-commutative flip-- associate-/l*
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
71.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt a) (cbrt a))) (/ (* (- t z) (cbrt y)) (cbrt a)))
29.0ms
(/ (* (- t z) (cbrt y)) (cbrt a))

series756.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt y)
269.0ms
(cbrt y)
70.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt a) (cbrt a))) (/ (* (- t z) (cbrt y)) (cbrt a)))
153.0ms
(/ (* (- t z) (cbrt y)) (cbrt a))

simplify1.6s

Counts
122 → 122
Iterations
IterNodes
done5000
23546
1660
0201

prune793.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (+ (* (/ y a) t) (/ y (/ a (- z)))))
0.0b
(+ (* (/ y a) t) (/ y (/ a (- z))))
5.1b
(* (/ y a) t)
6.4b
(/ y (/ a (- z)))

rewrite312.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
134×add-sqr-sqrt
129×*-un-lft-identity
127×add-cube-cbrt
36×distribute-lft-neg-in distribute-rgt-neg-in
34×associate-/r*
14×add-cbrt-cube add-exp-log
13×associate-*l*
12×neg-mul-1
11×add-log-exp
6×pow1 div-inv
4×cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×sum-log diff-log associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×+-commutative clear-num sub-neg frac-2neg flip3-+ flip3-- pow-prod-down frac-add *-commutative flip-+ flip-- distribute-lft-out associate--r+ distribute-lft-out-- difference-of-squares
Counts
4 → 215
Calls
4 calls:
182.0ms
(- x (+ (* (/ y a) t) (/ y (/ a (- z)))))
78.0ms
(+ (* (/ y a) t) (/ y (/ a (- z))))
13.0ms
(* (/ y a) t)
19.0ms
(/ y (/ a (- z)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- x (+ (* (/ y a) t) (/ y (/ a (- z)))))
109.0ms
(+ (* (/ y a) t) (/ y (/ a (- z))))
45.0ms
(* (/ y a) t)
59.0ms
(/ y (/ a (- z)))

simplify629.0ms

Counts
227 → 227
Iterations
IterNodes
done5000
11095
0408

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ x (/ z (/ a y))) (/ t (/ a y)))
5.4b
(/ z (/ a y))
5.6b
(/ t (/ a y))

rewrite351.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
96×add-sqr-sqrt
92×*-un-lft-identity
87×add-cube-cbrt
26×associate-/r*
13×add-cbrt-cube add-exp-log
10×div-inv
8×add-log-exp
6×cbrt-undiv div-exp associate-/l*
3×pow1 difference-of-squares
2×clear-num frac-2neg diff-log associate-/r/ frac-sub distribute-lft-out--
1×sum-log sub-neg flip3-+ flip3-- associate--l+ flip-+ flip-- distribute-lft-out
Counts
3 → 161
Calls
3 calls:
309.0ms
(- (+ x (/ z (/ a y))) (/ t (/ a y)))
15.0ms
(/ z (/ a y))
15.0ms
(/ t (/ a y))

series170.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(- (+ x (/ z (/ a y))) (/ t (/ a y)))
25.0ms
(/ z (/ a y))
48.0ms
(/ t (/ a y))

simplify1.4s

Counts
170 → 170
Iterations
IterNodes
done5001
23527
1792
0298

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes516.0ms

Accuracy

68.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.6b

bsearch113.0ms

Steps
ItersRangePoint
9
488997712.5877659
1.833581519272531e+16
5122316469.390034
6
-1.0169193133396269e+61
-2.5276751166480626e+60
-3.5061690732504346e+60

simplify5.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample1.7s

Algorithm
intervals
Results
640.0ms10689×body80valid