Details

Time bar (total: 19.5s)

sample110.0ms

Algorithm
intervals
Results
37.0ms381×body80nan
35.0ms382×body80valid

simplify2.3s

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize50.0ms

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))
6.0b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

rewrite138.0ms

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))
25.0ms
(- (* (- x 0.5) (log x)) x)
46.0ms
(* (- x 0.5) (log x))
18.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series1.4s

Counts
4 → 12
Calls
4 calls:
62.0ms
(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
735.0ms
(- (* (- x 0.5) (log x)) x)
429.0ms
(* (- x 0.5) (log x))
143.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify1.0s

Counts
112 → 112
Iterations
IterNodes
done5000
22095
1523
0221

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
6.0b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

rewrite51.0ms

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)
1.0ms
(cbrt x)
45.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series1.1s

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt x)
338.0ms
(cbrt x)
307.0ms
(cbrt x)
146.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify454.0ms

Counts
74 → 74
Iterations
IterNodes
done5001
2898
1224
097

prune660.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize129.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (pow x 2/3))
6.0b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)
6.0b
(pow x 2/3)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×cbrt-prod
9×times-frac
7×add-exp-log
6×unpow-prod-down add-cbrt-cube
5×pow1
4×add-log-exp
3×pow-unpow associate-/r* associate-/l*
2×pow1/3 sqr-pow associate-/l/
1×pow-to-exp cbrt-undiv clear-num pow-pow frac-2neg flip3-+ div-exp pow-exp flip-+ div-inv
Counts
4 → 72
Calls
4 calls:
1.0ms
(cbrt x)
3.0ms
(cbrt (pow x 2/3))
22.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)
2.0ms
(pow x 2/3)

series923.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt x)
285.0ms
(cbrt (pow x 2/3))
100.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)
270.0ms
(pow x 2/3)

simplify629.0ms

Counts
84 → 84
Iterations
IterNodes
done5000
21457
1349
0146

prune831.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

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)
6.0b
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

rewrite80.0ms

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:
43.0ms
(+ (* (* 2 (log (cbrt x))) (- x 0.5)) (* (- x 0.5) (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
32.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series1.7s

Counts
4 → 12
Calls
4 calls:
1.1s
(+ (* (* 2 (log (cbrt x))) (- x 0.5)) (* (- x 0.5) (log (cbrt x))))
282.0ms
(cbrt x)
249.0ms
(cbrt x)
99.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify1.4s

Counts
94 → 94
Iterations
IterNodes
done5000
22588
1566
0204

prune824.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes517.0ms

Accuracy

93.5% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 6.3b

bsearch118.0ms

Steps
ItersRangePoint
7
3.320593221623759e+22
4.50898369950121e+24
4.856018666852463e+22

simplify8.0ms

Iterations
IterNodes
done56
256
155
042

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.7s11827×body80valid
1.5s11707×body80nan