Details

Time bar (total: 8.0s)

sample62.0ms

Algorithm
intervals
Results
21.0ms369×body80valid
14.0ms322×body80nan

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03712
18412
224512
358112
4128012
5246212
6500112
done500112

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* (- x 0.5) (log x)) x)
0.2b
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b
(* (- x 0.5) (log x))
5.2b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×log-prod
12×associate--l+
11×add-log-exp
9×distribute-rgt-in distribute-lft-in times-frac
8×add-exp-log associate-+l+ add-cbrt-cube
7×pow1
5×associate-*l*
4×associate-*r*
3×associate-/r* associate-/l*
2×sub-neg flip3-- flip3-+ diff-log associate-*l/ sum-log flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative associate-+l- frac-2neg div-exp pow-prod-down prod-exp clear-num log-pow *-commutative cbrt-unprod div-inv distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
18.0ms
(- (* (- x 0.5) (log x)) x)
59.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
23.0ms
(* (- x 0.5) (log x))
54.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
420.0ms
(- (* (- x 0.5) (log x)) x)
412.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
249.0ms
(* (- x 0.5) (log x))
87.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify47.0ms

Counts
110 → 110
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0501839
11642776
25001763
done5001763

prune401.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
5.2b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 62
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
54.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series618.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
172.0ms
(cbrt x)
177.0ms
(cbrt x)
87.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify99.0ms

Counts
74 → 74
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0212462
1697420
23321413
35001410
done5001410

prune387.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
5.1b
(pow x 1/3)
5.2b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-exp-log
6×cbrt-prod add-cbrt-cube
5×pow1
4×add-log-exp
3×unpow-prod-down pow-unpow associate-/r* associate-/l*
2×pow1/3 associate-/l/
1×cbrt-undiv pow-to-exp pow-pow frac-2neg flip3-+ unpow1/3 div-exp pow-exp clear-num flip-+ div-inv sqr-pow
Counts
4 → 69
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(pow x 1/3)
54.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series611.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt x)
180.0ms
(cbrt x)
171.0ms
(pow x 1/3)
89.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify34.0ms

Counts
81 → 81
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0268467
11047415
25001409
done5001409

prune426.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.3b

localize37.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt 1/3) (cbrt 1/3))
4.1b
(pow x (* (cbrt 1/3) (cbrt 1/3)))
5.2b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.3b
(pow (pow x (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
19×cbrt-prod
13×unpow-prod-down
12×pow1
11×add-exp-log
9×times-frac
7×pow-unpow
6×pow1/3 swap-sqr associate-*r* associate-*l* add-cbrt-cube
5×pow-exp
4×add-log-exp unswap-sqr
3×pow-to-exp associate-/r* associate-/l* sqr-pow
2×pow-pow pow-prod-down pow-sqr pow-prod-up associate-/l/
1×cbrt-undiv pow2 frac-2neg flip3-+ pow-plus div-exp prod-exp clear-num *-commutative cbrt-unprod flip-+ div-inv
Counts
4 → 110
Calls
4 calls:
13.0ms
(* (cbrt 1/3) (cbrt 1/3))
3.0ms
(pow x (* (cbrt 1/3) (cbrt 1/3)))
54.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
7.0ms
(pow (pow x (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

series783.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(* (cbrt 1/3) (cbrt 1/3))
242.0ms
(pow x (* (cbrt 1/3) (cbrt 1/3)))
91.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
450.0ms
(pow (pow x (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

simplify51.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0413871
11685798
25001753
done5001753

prune578.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.3b

regimes362.0ms

Accuracy

73.3% (0.3b remaining)

Error of 5.0b against oracle of 4.7b and baseline of 5.9b

bsearch69.0ms

Steps
ItersRangePoint
6
3.451047137081975e+135
2.1548807829336826e+136
7.263854719572083e+135

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06447
16447
done6447

end0.0ms

sample1.8s

Algorithm
intervals
Results
585.0ms11480×body80valid
511.0ms11432×body80nan