Details

Time bar (total: 30.5s)

sample396.0ms

Algorithm
intervals
Results
193.0ms1846×body80nan
36.0ms258×body80valid

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done5000
51502
4434
3150
259
127
015

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (log z))
0.1b
(* (- a 0.5) (log t))
0.1b
(- (log (+ y x)) (- (- t (log z)) (* (- a 0.5) (log t))))
0.2b
(- (- t (log z)) (* (- a 0.5) (log t)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-sqr-sqrt
19×log-prod
14×add-log-exp
13×associate--r+
12×add-cube-cbrt
10×diff-log
9×pow1
8×flip3-- associate--l+ flip--
6×distribute-rgt-in sub-neg distribute-lft-in add-cbrt-cube associate-*l/ add-exp-log
5×associate-*l* distribute-lft-out--
4×associate-*r* frac-sub
3×associate--l- log-pow difference-of-squares
2×log-div
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out associate--r- unswap-sqr
Counts
4 → 101
Calls
4 calls:
5.0ms
(- t (log z))
26.0ms
(* (- a 0.5) (log t))
55.0ms
(- (log (+ y x)) (- (- t (log z)) (* (- a 0.5) (log t))))
44.0ms
(- (- t (log z)) (* (- a 0.5) (log t)))

series484.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- t (log z))
89.0ms
(* (- a 0.5) (log t))
260.0ms
(- (log (+ y x)) (- (- t (log z)) (* (- a 0.5) (log t))))
92.0ms
(- (- t (log z)) (* (- a 0.5) (log t)))

simplify1.1s

Counts
113 → 113
Iterations
IterNodes
done5000
22597
1647
0246

prune782.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log (+ y x)) t)
0.1b
(* (- a 0.5) (log t))
0.1b
(- (- (log (+ y x)) t) (- (- (log z)) (* (- a 0.5) (log t))))
0.3b
(- (- (log z)) (* (- a 0.5) (log t)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
26×log-prod
22×add-sqr-sqrt add-log-exp
20×associate--l+
16×diff-log
14×add-cube-cbrt
11×associate--r+
9×pow1
8×flip3-- flip-- distribute-lft-out--
6×distribute-rgt-in distribute-neg-in distribute-lft-in add-cbrt-cube add-exp-log
5×sub-neg associate-*l*
4×associate--l- associate-*r* frac-sub
3×neg-log log-pow difference-of-squares
2×log-div associate-*l/ distribute-lft-out
1×neg-sub0 flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ associate--r- unswap-sqr
Counts
4 → 111
Calls
4 calls:
9.0ms
(- (log (+ y x)) t)
20.0ms
(* (- a 0.5) (log t))
89.0ms
(- (- (log (+ y x)) t) (- (- (log z)) (* (- a 0.5) (log t))))
27.0ms
(- (- (log z)) (* (- a 0.5) (log t)))

series598.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(- (log (+ y x)) t)
104.0ms
(* (- a 0.5) (log t))
233.0ms
(- (- (log (+ y x)) t) (- (- (log z)) (* (- a 0.5) (log t))))
143.0ms
(- (- (log z)) (* (- a 0.5) (log t)))

simplify1.1s

Counts
123 → 123
Iterations
IterNodes
done5001
22714
1672
0255

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t)))))
0.3b
(- (- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (cbrt t)) (- a 0.5)))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
30×log-prod
28×associate--r+
26×distribute-rgt-in distribute-lft-in
18×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
14×add-log-exp
11×associate--l+
7×diff-log
6×distribute-neg-in flip3-- flip--
5×sub-neg
4×pow1 add-cbrt-cube associate-*r/ add-exp-log frac-sub
2×associate--l- pow1/3 neg-log
1×neg-sub0
Counts
4 → 91
Calls
4 calls:
27.0ms
(- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t)))))
78.0ms
(- (- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (cbrt t)) (- a 0.5)))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.3s

Counts
4 → 12
Calls
4 calls:
382.0ms
(- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t)))))
323.0ms
(- (- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (cbrt t)) (- a 0.5)))
305.0ms
(cbrt t)
261.0ms
(cbrt t)

simplify1.1s

Counts
103 → 103
Iterations
IterNodes
done5000
22610
1646
0230

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t)))))
0.3b
(- (- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (pow (/ 1 t) -1/3)) (- a 0.5)))
0.6b
(cbrt t)
5.0b
(pow (/ 1 t) -1/3)

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
30×log-prod
28×associate--r+
26×distribute-rgt-in distribute-lft-in
23×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×cbrt-prod
14×add-log-exp
13×unpow-prod-down
11×associate--l+
9×times-frac add-exp-log
7×diff-log
6×pow1 distribute-neg-in flip3-- flip--
5×sub-neg
4×add-cbrt-cube pow-exp associate-*r/ frac-sub
3×pow-unpow pow-pow
2×associate--l- div-exp neg-log
1×neg-sub0 pow-to-exp rec-exp pow1/3 1-exp div-inv pow-flip inv-pow sqr-pow
Counts
4 → 112
Calls
4 calls:
40.0ms
(- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t)))))
109.0ms
(- (- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (pow (/ 1 t) -1/3)) (- a 0.5)))
1.0ms
(cbrt t)
6.0ms
(pow (/ 1 t) -1/3)

series1.6s

Counts
4 → 12
Calls
4 calls:
442.0ms
(- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t)))))
622.0ms
(- (- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (pow (/ 1 t) -1/3)) (- a 0.5)))
277.0ms
(cbrt t)
272.0ms
(pow (/ 1 t) -1/3)

simplify1.4s

Counts
124 → 124
Iterations
IterNodes
done5000
23358
1894
0310

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done18
118
016

end0.0ms

sample14.3s

Algorithm
intervals
Results
8.4s55612×body80nan
1.0s8043×body80valid