Details

Time bar (total: 14.7s)

sample52.0ms

Algorithm
intervals
Results
9.0ms179×body80valid
6.0ms35×body640valid
5.0ms22×body1280valid
5.0ms144×body80nan
3.0ms15×body1280nan
2.0ms15×body320valid
2.0ms12×body640nan
1.0ms6×body320nan
0.0ms5×body160valid
0.0ms4×body160nan

simplify1.0s

Counts
1 → 1
Iterations
IterNodes
done5000
92335
8741
7343
6223
5123
475
341
229
119
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b
(/ (- x y) (- 1.0 y))
1.6b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.8b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
51×*-un-lft-identity
28×times-frac
19×difference-of-squares
18×add-cube-cbrt
17×distribute-lft-out--
12×log-prod
7×add-exp-log add-log-exp
6×pow1 flip3-- add-cbrt-cube flip-- associate--r+
5×associate-/r* associate-/l*
4×log-div
3×associate--r-
2×sub-neg diff-log div-sub associate-/r/ log-pow associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp rem-log-exp div-inv
Counts
4 → 108
Calls
4 calls:
62.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
29.0ms
(/ (- x y) (- 1.0 y))
33.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
39.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series419.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
58.0ms
(/ (- x y) (- 1.0 y))
77.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
139.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify834.0ms

Counts
120 → 120
Iterations
IterNodes
done5000
21712
1498
0204

prune657.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (- x y) (+ 1.0 y)) (- 1.0 y))
0.1b
(* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))
4.3b
(- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y)))
4.8b
(log (- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))))

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
483×times-frac
476×*-un-lft-identity
373×add-sqr-sqrt
170×add-cube-cbrt
136×associate-*l*
97×distribute-lft-out-- difference-of-squares
56×distribute-lft-out
26×associate-/r/ associate-/l*
19×add-exp-log
18×add-cbrt-cube
13×flip3-+ flip-+ div-inv
7×pow1
6×cbrt-undiv div-exp add-log-exp
5×associate-/r*
4×flip3-- associate-*r* flip--
3×log-prod prod-exp cbrt-unprod unswap-sqr
2×distribute-rgt-in frac-times log-div distribute-lft-in div-sub associate-*r/ associate--r+
1×clear-num sub-neg frac-2neg diff-log rem-log-exp pow-prod-down associate-*l/ log-pow *-commutative associate-/l/
Counts
4 → 372
Calls
4 calls:
39.0ms
(/ (/ (- x y) (+ 1.0 y)) (- 1.0 y))
142.0ms
(* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))
7.0ms
(- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y)))
6.0ms
(log (- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))))

series425.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(/ (/ (- x y) (+ 1.0 y)) (- 1.0 y))
67.0ms
(* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))
69.0ms
(- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y)))
124.0ms
(log (- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))))

simplify1.0s

Counts
384 → 384
Iterations
IterNodes
done5000
11688
0436

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

1.6b
(- 1.0 (/ (- x y) (- 1.0 y)))
1.6b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.9b
(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
4.9b
(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
18×log-prod
16×*-un-lft-identity
12×sqrt-prod
8×pow1 add-cube-cbrt add-log-exp difference-of-squares
6×add-exp-log log-pow
4×log-div times-frac flip3-- add-cbrt-cube sqrt-div flip-- distribute-lft-out--
2×sub-neg sqrt-pow1 pow1/2 diff-log div-sub rem-log-exp associate--r-
Counts
4 → 76
Calls
4 calls:
27.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
35.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
34.0ms
(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
62.0ms
(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series597.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
84.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
237.0ms
(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
193.0ms
(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify1.3s

Counts
88 → 88
Iterations
IterNodes
done5000
32790
2655
1229
0114

prune604.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

1.6b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.8b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.8b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.8b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
18×log-prod
15×*-un-lft-identity
8×difference-of-squares
7×pow1 add-exp-log add-cube-cbrt
6×log-div add-log-exp
4×times-frac flip3-- add-cbrt-cube flip-- distribute-lft-out--
3×rem-log-exp log-pow
1×sub-neg diff-log div-sub associate--r-
Counts
4 → 67
Calls
4 calls:
55.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
56.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
51.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
44.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series494.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
156.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
118.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
124.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.1s

Counts
79 → 79
Iterations
IterNodes
done5000
32635
2587
1198
091

prune507.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes458.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 17.9b

bsearch2.0ms

simplify4.0ms

Iterations
IterNodes
done25
125
023

end0.0ms

sample2.7s

Algorithm
intervals
Results
852.0ms5752×body80valid
452.0ms789×body1280valid
238.0ms3611×body80nan
201.0ms361×body1280nan
192.0ms762×body640valid
109.0ms441×body320valid
81.0ms371×body640nan
34.0ms217×body320nan
30.0ms256×body160valid
13.0ms123×body160nan