Details

Time bar (total: 20.8s)

sample124.0ms

Algorithm
intervals
Results
45.0ms374×body80nan
32.0ms368×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5000
54006
4855
3244
284
137
020

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
0.1b
(- (* (- x 0.5) (log x)) x)
0.2b
(* (- x 0.5) (log x))
6.2b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
12×log-prod
10×add-cbrt-cube add-exp-log
9×pow1 times-frac
8×distribute-rgt-in distribute-lft-in associate-*l*
7×associate-*r*
6×associate--l+ add-log-exp
3×associate-/r* sub-neg flip3-- flip-- associate-/l*
2×pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod unswap-sqr associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ diff-log div-exp log-pow flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 100
Calls
4 calls:
74.0ms
(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
15.0ms
(- (* (- x 0.5) (log x)) x)
19.0ms
(* (- x 0.5) (log x))
28.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
61.0ms
(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
684.0ms
(- (* (- x 0.5) (log x)) x)
368.0ms
(* (- x 0.5) (log x))
102.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify963.0ms

Counts
112 → 112
Iterations
IterNodes
done5000
22095
1523
0221

prune853.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (* 2 (log (cbrt x))) (- x 0.5)) (* (- x 0.5) (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)
6.2b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×cbrt-prod associate-+r+ log-prod
9×times-frac
8×distribute-rgt-in distribute-lft-in
6×add-cbrt-cube add-exp-log add-log-exp
4×pow1 associate-+l+ flip3-- associate-*l/ frac-add associate-*r/ flip--
3×associate-/r* associate-/l*
2×sub-neg flip3-+ pow1/3 flip-+ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
4 → 82
Calls
4 calls:
52.0ms
(+ (* (* 2 (log (cbrt x))) (- x 0.5)) (* (- x 0.5) (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
31.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series1.9s

Counts
4 → 12
Calls
4 calls:
1.2s
(+ (* (* 2 (log (cbrt x))) (- x 0.5)) (* (- x 0.5) (log (cbrt x))))
297.0ms
(cbrt x)
303.0ms
(cbrt x)
130.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify1.0s

Counts
94 → 94
Iterations
IterNodes
done5000
22588
1566
0204

prune929.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.4b
(* 2/3 (log x))
0.6b
(cbrt x)
0.6b
(cbrt x)
6.2b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-exp-log
7×pow1
6×cbrt-prod log-prod
4×associate-*r* add-log-exp
3×distribute-rgt-in associate-/r* distribute-lft-in associate-*l* associate-/l*
2×pow1/3 associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp pow-prod-down prod-exp log-pow *-commutative cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 76
Calls
4 calls:
14.0ms
(* 2/3 (log x))
1.0ms
(cbrt x)
2.0ms
(cbrt x)
35.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series899.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* 2/3 (log x))
313.0ms
(cbrt x)
248.0ms
(cbrt x)
130.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify704.0ms

Counts
88 → 88
Iterations
IterNodes
done5001
21128
1321
0145

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt 2/3) (* (log x) (sqrt 2/3)))
0.6b
(cbrt x)
0.6b
(cbrt x)
6.2b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
11×add-cbrt-cube add-exp-log
9×pow1 times-frac
6×cbrt-prod associate-*l*
4×add-log-exp
3×associate-/r* pow-prod-down prod-exp sqrt-prod cbrt-unprod associate-/l*
2×pow1/3 associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp associate-*r* *-commutative flip-+ div-inv
Counts
4 → 72
Calls
4 calls:
30.0ms
(* (sqrt 2/3) (* (log x) (sqrt 2/3)))
12.0ms
(cbrt x)
1.0ms
(cbrt x)
35.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series1.4s

Counts
4 → 12
Calls
4 calls:
320.0ms
(* (sqrt 2/3) (* (log x) (sqrt 2/3)))
323.0ms
(cbrt x)
678.0ms
(cbrt x)
115.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify730.0ms

Counts
84 → 84
Iterations
IterNodes
done5001
21379
1331
0141

prune910.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes417.0ms

Accuracy

93.7% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 6.4b

bsearch179.0ms

Steps
ItersRangePoint
8
192960.493624807
216324182.69957525
1000364.9721418674

simplify11.0ms

Iterations
IterNodes
done61
261
160
045

end0.0ms

sample4.6s

Algorithm
intervals
Results
2.1s11665×body80valid
1.3s11716×body80nan