Details

Time bar (total: 18.4s)

sample166.0ms

Algorithm
intervals
Results
67.0ms385×body80nan
46.0ms375×body80valid

simplify2.6s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
0.1b
(* (- x 0.5) (log x))
0.2b
(- (* (- x 0.5) (log x)) x)
5.9b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

rewrite140.0ms

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:
66.0ms
(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
18.0ms
(* (- x 0.5) (log x))
17.0ms
(- (* (- x 0.5) (log x)) x)
35.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series1.3s

Counts
4 → 12
Calls
4 calls:
46.0ms
(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
389.0ms
(* (- x 0.5) (log x))
725.0ms
(- (* (- x 0.5) (log x)) x)
115.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify823.0ms

Counts
112 → 112
Iterations
IterNodes
done5000
22098
1523
0221

prune878.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.3b

localize80.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
5.9b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×cbrt-prod times-frac
6×add-cbrt-cube add-exp-log
4×pow1 add-log-exp
3×associate-/r* pow1/3 associate-/l*
2×associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv
Counts
4 → 62
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(cbrt x)
35.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series907.0ms

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt x)
246.0ms
(cbrt x)
272.0ms
(cbrt x)
126.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify401.0ms

Counts
74 → 74
Iterations
IterNodes
done5001
2898
1224
097

prune833.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
5.1b
(pow x 1/3)
5.9b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
7×add-exp-log
6×cbrt-prod add-cbrt-cube
5×pow1
4×add-log-exp
3×pow-unpow associate-/r* unpow-prod-down associate-/l*
2×pow1/3 associate-/l/
1×pow-to-exp cbrt-undiv clear-num pow-pow frac-2neg flip3-+ unpow1/3 div-exp pow-exp flip-+ div-inv sqr-pow
Counts
4 → 69
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(pow x 1/3)
17.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series1.0s

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt x)
284.0ms
(cbrt x)
296.0ms
(pow x 1/3)
138.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify651.0ms

Counts
81 → 81
Iterations
IterNodes
done5001
21209
1315
0124

prune732.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize84.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
5.9b
(exp (+ 0 (log x)))
5.9b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt
9×times-frac
6×cbrt-prod add-cbrt-cube add-exp-log add-log-exp
5×pow1 exp-prod
3×associate-/r* associate-/l*
2×pow1/3 distribute-lft-out rem-exp-log associate-/l/
1×cbrt-undiv clear-num sum-log frac-2neg flip3-+ div-exp exp-sum log-pow flip-+ div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
14.0ms
(exp (+ 0 (log x)))
17.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series745.0ms

Counts
4 → 12
Calls
4 calls:
301.0ms
(cbrt x)
291.0ms
(cbrt x)
16.0ms
(exp (+ 0 (log x)))
137.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify597.0ms

Counts
78 → 78
Iterations
IterNodes
done5000
21050
1253
0115

prune854.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

regimes554.0ms

Accuracy

96.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 5.9b

bsearch156.0ms

Steps
ItersRangePoint
9
96074.22959574031
1643461432666.1616
29348759.76926812

simplify7.0ms

Iterations
IterNodes
done52
152
039

end0.0ms

sample4.8s

Algorithm
intervals
Results
2.1s11435×body80nan
1.5s11661×body80valid