Details

Time bar (total: 24.5s)

sample137.0ms

Algorithm
intervals
Results
41.0ms407×body80nan
40.0ms365×body80valid

simplify2.1s

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
0.1b
(* (- x 0.5) (log x))
0.1b
(- (* (- x 0.5) (log x)) x)
5.0b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

rewrite153.0ms

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:
43.0ms
(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
38.0ms
(* (- x 0.5) (log x))
26.0ms
(- (* (- x 0.5) (log x)) x)
40.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series1.3s

Counts
4 → 12
Calls
4 calls:
61.0ms
(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
434.0ms
(* (- x 0.5) (log x))
673.0ms
(- (* (- x 0.5) (log x)) x)
112.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify1.1s

Counts
112 → 112
Iterations
IterNodes
done5000
22098
1523
0221

prune934.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- x 0.5) (log x))
0.1b
(- (* (- x 0.5) (log x)) x)
5.0b
(/ (+ 0.083333333333333 (- (* (* z z) (+ 0.0007936500793651 y)) (* z 0.0027777777777778))) x)
5.5b
(* (* z z) (+ 0.0007936500793651 y))

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
25×add-sqr-sqrt
20×add-cube-cbrt
13×add-cbrt-cube add-exp-log
12×pow1 log-prod times-frac
8×associate-*r*
7×distribute-rgt-in distribute-lft-in
6×associate-*l* associate--l+ add-log-exp
5×distribute-lft-out
4×pow-prod-down prod-exp cbrt-unprod associate-/l*
3×associate-/r*
2×flip3-+ flip3-- associate-*l/ associate-*r/ *-commutative flip-+ flip-- unswap-sqr associate-/l/
1×cbrt-undiv clear-num associate-+r- sub-neg frac-2neg diff-log div-sub div-exp log-pow div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 105
Calls
4 calls:
19.0ms
(* (- x 0.5) (log x))
18.0ms
(- (* (- x 0.5) (log x)) x)
229.0ms
(/ (+ 0.083333333333333 (- (* (* z z) (+ 0.0007936500793651 y)) (* z 0.0027777777777778))) x)
51.0ms
(* (* z z) (+ 0.0007936500793651 y))

series1.4s

Counts
4 → 12
Calls
4 calls:
477.0ms
(* (- x 0.5) (log x))
758.0ms
(- (* (- x 0.5) (log x)) x)
143.0ms
(/ (+ 0.083333333333333 (- (* (* z z) (+ 0.0007936500793651 y)) (* z 0.0027777777777778))) x)
58.0ms
(* (* z z) (+ 0.0007936500793651 y))

simplify2.2s

Counts
117 → 117
Iterations
IterNodes
done5000
22935
1575
0226

prune706.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

localize83.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
0.1b
(* (- x 0.5) (log (sqrt x)))
0.2b
(- (* (log (sqrt x)) (- x 0.5)) x)
5.0b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×log-prod *-un-lft-identity
22×add-cube-cbrt
16×distribute-rgt-in distribute-lft-in
12×associate-+l+ sqrt-prod
11×add-log-exp
9×times-frac
8×pow1 add-cbrt-cube associate--l+ add-exp-log
6×associate-+r+ sub-neg flip3-- associate-*r* associate-*l/ flip--
5×associate-*l*
4×frac-add
3×associate-/r* log-pow associate-/l*
2×sum-log flip3-+ diff-log flip-+ associate-/l/
1×cbrt-undiv +-commutative clear-num associate-+r- frac-2neg sqrt-pow1 pow1/2 div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 117
Calls
4 calls:
54.0ms
(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
23.0ms
(* (- x 0.5) (log (sqrt x)))
12.0ms
(- (* (log (sqrt x)) (- x 0.5)) x)
36.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series766.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
139.0ms
(* (- x 0.5) (log (sqrt x)))
222.0ms
(- (* (log (sqrt x)) (- x 0.5)) x)
121.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify1.7s

Counts
129 → 129
Iterations
IterNodes
done5001
23431
1706
0262

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (- x 0.5) (* 2 (log (cbrt (sqrt x))))) (* (log (cbrt (sqrt x))) (- x 0.5)))
0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))
5.0b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
38×distribute-rgt-in distribute-lft-in
36×cbrt-prod associate-+l+ log-prod
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×sqrt-prod
9×times-frac
6×add-cbrt-cube add-exp-log add-log-exp
4×pow1 associate-+r+ 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 → 112
Calls
4 calls:
42.0ms
(+ (* (- x 0.5) (* 2 (log (cbrt (sqrt x))))) (* (log (cbrt (sqrt x))) (- x 0.5)))
1.0ms
(cbrt (sqrt x))
1.0ms
(cbrt (sqrt x))
25.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series1.6s

Counts
4 → 12
Calls
4 calls:
1.0s
(+ (* (- x 0.5) (* 2 (log (cbrt (sqrt x))))) (* (log (cbrt (sqrt x))) (- x 0.5)))
249.0ms
(cbrt (sqrt x))
237.0ms
(cbrt (sqrt x))
114.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify1.4s

Counts
124 → 124
Iterations
IterNodes
done5001
23073
1673
0245

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.5b

regimes533.0ms

Accuracy

88.5% (0.3b remaining)

Error of 4.4b against oracle of 4.2b and baseline of 6.4b

bsearch280.0ms

Steps
ItersRangePoint
10
4192335.6767465863
7.375035652744427e+24
2.1002139334339746e+20

simplify11.0ms

Iterations
IterNodes
done71
171
050

end0.0ms

sample4.9s

Algorithm
intervals
Results
2.0s11610×body80valid
1.8s11488×body80nan