Details

Time bar (total: 17.0s)

sample37.0ms

Algorithm
intervals
Results
14.0ms274×body80valid

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5000
91914
8811
7428
6259
5148
496
360
235
117
010

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- a z))
0.0b
(+ (* (- y z) (/ t (- a z))) x)
10.1b
(* (- y z) (/ t (- a z)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-cbrt-cube add-exp-log
distribute-lft-out-- difference-of-squares
pow1 associate-/r* associate-*l* add-log-exp
flip3-- associate-/r/ flip--
associate-/l*
frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down associate-*r/ *-commutative flip-+
Counts
3 → 94
Calls
3 calls:
9.0ms
(/ t (- a z))
15.0ms
(+ (* (- y z) (/ t (- a z))) x)
57.0ms
(* (- y z) (/ t (- a z)))

series235.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ t (- a z))
112.0ms
(+ (* (- y z) (/ t (- a z))) x)
90.0ms
(* (- y z) (/ t (- a z)))

simplify1.2s

Counts
103 → 103
Iterations
IterNodes
done5001
21918
1389
0154

prune632.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) t)
0.0b
(+ (pow (/ (- y z) (/ (- a z) t)) 1) x)
10.2b
(/ (- y z) (/ (- a z) t))

rewrite385.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
173×*-un-lft-identity
171×add-sqr-sqrt
87×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×add-cbrt-cube add-exp-log associate-/l*
div-inv
add-log-exp
cbrt-undiv div-exp associate-/l/
pow1
clear-num frac-2neg flip3-- div-sub flip--
+-commutative sum-log flip3-+ associate-/r/ flip-+ distribute-lft-out
Counts
3 → 187
Calls
3 calls:
12.0ms
(/ (- a z) t)
328.0ms
(+ (pow (/ (- y z) (/ (- a z) t)) 1) x)
33.0ms
(/ (- y z) (/ (- a z) t))

series323.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- a z) t)
138.0ms
(+ (pow (/ (- y z) (/ (- a z) t)) 1) x)
136.0ms
(/ (- y z) (/ (- a z) t))

simplify1.3s

Counts
196 → 196
Iterations
IterNodes
done5001
24199
1870
0275

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow (* (/ (- y z) (- a z)) t) 1) x)
0.0b
(/ (- y z) (- a z))
1.0b
(* (/ (- y z) (- a z)) t)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-cbrt-cube add-exp-log
pow1 associate-/r* associate-/l* add-log-exp
associate-/r/
flip3-- associate-*r* flip--
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
+-commutative clear-num sum-log frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ *-commutative flip-+ distribute-lft-out
Counts
3 → 114
Calls
3 calls:
7.0ms
(+ (pow (* (/ (- y z) (- a z)) t) 1) x)
24.0ms
(/ (- y z) (- a z))
67.0ms
(* (/ (- y z) (- a z)) t)

series375.0ms

Counts
3 → 9
Calls
3 calls:
155.0ms
(+ (pow (* (/ (- y z) (- a z)) t) 1) x)
77.0ms
(/ (- y z) (- a z))
144.0ms
(* (/ (- y z) (- a z)) t)

simplify1.0s

Counts
123 → 123
Iterations
IterNodes
done5000
21793
1454
0170

prune662.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ (- y z) (sqrt (- a z))) (/ t (sqrt (- a z)))) x)
0.1b
(/ t (sqrt (- a z)))
0.2b
(/ (- y z) (sqrt (- a z)))
3.3b
(* (/ (- y z) (sqrt (- a z))) (/ t (sqrt (- a z))))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
176×add-sqr-sqrt
146×*-un-lft-identity
140×times-frac
96×sqrt-prod
76×add-cube-cbrt
46×associate-*l*
35×distribute-lft-out-- difference-of-squares
30×associate-*r*
20×add-cbrt-cube add-exp-log
16×associate-/r*
unswap-sqr
sqrt-div associate-/r/ associate-/l*
pow1 cbrt-undiv div-exp add-log-exp
flip3-- flip--
prod-exp cbrt-unprod div-inv
clear-num frac-2neg associate-/l/
frac-times +-commutative sum-log flip3-+ div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
4 → 235
Calls
4 calls:
45.0ms
(+ (* (/ (- y z) (sqrt (- a z))) (/ t (sqrt (- a z)))) x)
19.0ms
(/ t (sqrt (- a z)))
36.0ms
(/ (- y z) (sqrt (- a z)))
103.0ms
(* (/ (- y z) (sqrt (- a z))) (/ t (sqrt (- a z))))

series558.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(+ (* (/ (- y z) (sqrt (- a z))) (/ t (sqrt (- a z)))) x)
115.0ms
(/ t (sqrt (- a z)))
124.0ms
(/ (- y z) (sqrt (- a z)))
144.0ms
(* (/ (- y z) (sqrt (- a z))) (/ t (sqrt (- a z))))

simplify1.9s

Counts
247 → 247
Iterations
IterNodes
done5000
23778
1881
0309

prune1.3s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes373.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample1.3s

Algorithm
intervals
Results
597.0ms8731×body80valid
0.0msbody320valid