Details

Time bar (total: 18.7s)

sample121.0ms

Algorithm
intervals
Results
52.0ms375×body80valid
30.0ms385×body80nan

simplify2.1s

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize62.0ms

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)

rewrite135.0ms

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:
47.0ms
(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
26.0ms
(* (- x 0.5) (log x))
26.0ms
(- (* (- x 0.5) (log x)) x)
35.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series1.4s

Counts
4 → 12
Calls
4 calls:
65.0ms
(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
430.0ms
(* (- x 0.5) (log x))
723.0ms
(- (* (- x 0.5) (log x)) x)
134.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify1.2s

Counts
112 → 112
Iterations
IterNodes
done5000
22098
1523
0221

prune952.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.3b

localize74.0ms

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)

rewrite33.0ms

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)
29.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series913.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt x)
273.0ms
(cbrt x)
260.0ms
(cbrt x)
116.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify518.0ms

Counts
74 → 74
Iterations
IterNodes
done5001
2898
1224
097

prune657.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize67.0ms

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)

rewrite56.0ms

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)
4.0ms
(pow x 1/3)
46.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series938.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt x)
281.0ms
(cbrt x)
270.0ms
(pow x 1/3)
105.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify1.0s

Counts
81 → 81
Iterations
IterNodes
done5001
21209
1315
0124

prune794.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize64.0ms

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)

rewrite64.0ms

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)
36.0ms
(exp (+ 0 (log x)))
22.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

series713.0ms

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt x)
271.0ms
(cbrt x)
15.0ms
(exp (+ 0 (log x)))
128.0ms
(/ (+ 0.083333333333333 (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))) x)

simplify577.0ms

Counts
78 → 78
Iterations
IterNodes
done5000
21050
1253
0115

prune996.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

regimes372.0ms

Accuracy

96.3% (0.2b remaining)

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

bsearch148.0ms

Steps
ItersRangePoint
9
96074.22959574031
1643461432666.1616
29348759.76926812

simplify15.0ms

Iterations
IterNodes
done60
260
158
041

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.9s11435×body80nan
1.8s11661×body80valid