Details

Time bar (total: 15.5s)

sample145.0ms

Algorithm
intervals
Results
52.0ms761×body80nan
13.0ms176×body80valid
11.0ms31×body640valid
7.0ms10×body1280valid
5.0ms22×body320valid
3.0ms19×body160valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12617
24817
38717
419117
542017
697917
7206017
8281417
9308417
10328017
11344317
12363617
13383217
14399517
15418817
16438617
17454917
18474217
19494017
done500017

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.2b
(* (- x 1.0) (log y))
7.3b
(log (- 1.0 y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×log-prod
13×add-cube-cbrt
11×pow1
10×associate-*l*
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×flip3-- associate-*l/ flip--
3×log-pow
2×log-div diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 94
Calls
4 calls:
12.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
10.0ms
(* (- z 1.0) (log (- 1.0 y)))
8.0ms
(* (- x 1.0) (log y))
4.0ms
(log (- 1.0 y))

series64.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms
(* (- z 1.0) (log (- 1.0 y)))
10.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

simplify773.0ms

Counts
106 → 106
Iterations

Useful iterations: done (770.0ms)

IterNodesCost
02461547
15641481
217751298
done50021255

prune213.0ms

Filtered
73 candidates to 106 candidates (-45.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New988106
Fresh000
Picked101
Done000
Total998107

Merged error: 0.0b

Counts
107 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y)))))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y))))) t)
0.0b
(* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y))))
0.2b
(* (- x 1.0) (log y))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt flip3-- flip--
25×*-un-lft-identity
24×log-prod associate-*l/
16×distribute-rgt-in add-cube-cbrt distribute-lft-in frac-add
13×associate--l+
12×frac-times
11×add-log-exp
10×pow1 associate-+r+ associate-*r* associate-*l*
8×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*r/
5×sub-neg distribute-lft-out--
4×difference-of-squares
2×diff-log pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ flip-+
Counts
4 → 129
Calls
4 calls:
13.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y)))))
14.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y))))) t)
25.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y))))
8.0ms
(* (- x 1.0) (log y))

series131.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y)))))
66.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y))))) t)
14.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y))))
10.0ms
(* (- x 1.0) (log y))

simplify1.0s

Counts
141 → 141
Iterations

Useful iterations: done (1.0s)

IterNodesCost
03265191
19154762
241784554
done50004553

prune534.0ms

Filtered
106 candidates to 141 candidates (-33.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1392141
Fresh077
Picked011
Done000
Total13910149

Merged error: 0.0b

Counts
149 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y))))) (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y))))))
0.6b
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y)))))
0.6b
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y)))))
0.6b
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y)))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
168×cbrt-div
148×frac-times
126×flip3-- flip--
50×associate-*r/ associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 162
Calls
4 calls:
12.0ms
(* (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y))))) (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y))))))
21.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y)))))
17.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y)))))
17.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y)))))

series221.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y))))) (cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y))))))
43.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y)))))
48.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y)))))
43.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (/ (pow y 2) (pow 1.0 2))) (* 1.0 y)))))

simplify556.0ms

Counts
174 → 174
Iterations

Useful iterations: done (542.0ms)

IterNodesCost
033913389
163212118
2181311813
done500011810

prune1.5s

Filtered
126 candidates to 174 candidates (-38.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh088
Picked011
Done011
Total17410184

Merged error: 0.0b

Counts
184 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- x 1.0) (log y))
8.7b
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
11.2b
(log (- (sqrt 1.0) (sqrt y)))
11.5b
(log (+ (sqrt 1.0) (sqrt y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
34×log-prod *-un-lft-identity
32×add-sqr-sqrt
16×sqrt-prod
13×pow1
12×add-cube-cbrt
9×associate-+r+ difference-of-squares
8×add-exp-log log-div distribute-lft-out
7×log-pow
6×add-cbrt-cube
5×associate-+l+ associate-*l* distribute-lft-out--
4×associate-*r* add-log-exp
3×distribute-rgt-in flip3-- distribute-lft-in flip3-+ flip-- flip-+
2×associate-+l- associate-+r- rem-log-exp associate-*l/
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 98
Calls
4 calls:
8.0ms
(* (- x 1.0) (log y))
19.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
6.0ms
(log (- (sqrt 1.0) (sqrt y)))
6.0ms
(log (+ (sqrt 1.0) (sqrt y)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (- x 1.0) (log y))
20.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
8.0ms
(log (- (sqrt 1.0) (sqrt y)))
8.0ms
(log (+ (sqrt 1.0) (sqrt y)))

simplify519.0ms

Counts
110 → 110
Iterations

Useful iterations: done (516.0ms)

IterNodesCost
02471821
15851669
218751435
done50001405

prune246.0ms

Filtered
76 candidates to 110 candidates (-44.7%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh077
Picked011
Done022
Total11010120

Merged error: 0.0b

Counts
120 → 10

regimes622.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02229
12829
done2829

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.6s24910×body80nan
429.0ms5816×body80valid
304.0ms825×body640valid
172.0ms264×body1280valid
164.0ms697×body320valid
63.0ms427×body160valid

Profiling

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