Details

Time bar (total: 22.3s)

sample48.0ms

Algorithm
intervals
Results
23.0ms331×body80valid

simplify126.0ms

Counts
1 → 1
Iterations
IterNodes
done58
758
655
552
446
339
229
116
010

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.4b
(* (/ x y) z)

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
36.0ms
(/ (+ x 4.0) y)
133.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
31.0ms
(* (/ x y) z)

series223.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(/ (+ x 4.0) y)
107.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
45.0ms
(* (/ x y) z)

simplify2.7s

Counts
126 → 126
Iterations
IterNodes
done5000
21425
1412
0165

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 1 expressions with local error:

1.3b
(fma (/ x y) (- 1 z) (/ 4.0 y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ x y) (- 1 z) (/ 4.0 y))

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(fma (/ x y) (- 1 z) (/ 4.0 y))

simplify3.1s

Counts
13 → 13
Iterations
IterNodes
done5000
41508
3370
2105
146
025

prune148.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (+ x 4.0) y))
0.6b
(cbrt (/ (+ x 4.0) y))
0.6b
(cbrt (/ (+ x 4.0) y))
2.4b
(* (/ x y) z)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
48×cbrt-prod
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
13×associate-*l*
9×add-exp-log add-cbrt-cube distribute-lft-out
6×pow1
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 115
Calls
4 calls:
13.0ms
(cbrt (/ (+ x 4.0) y))
14.0ms
(cbrt (/ (+ x 4.0) y))
13.0ms
(cbrt (/ (+ x 4.0) y))
35.0ms
(* (/ x y) z)

series665.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt (/ (+ x 4.0) y))
199.0ms
(cbrt (/ (+ x 4.0) y))
214.0ms
(cbrt (/ (+ x 4.0) y))
52.0ms
(* (/ x y) z)

simplify4.8s

Counts
127 → 127
Iterations
IterNodes
done5056
33390
2936
1341
0170

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (/ (cbrt x) y) z)
2.8b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-exp
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 117
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
57.0ms
(* (/ (cbrt x) y) z)
114.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series1.2s

Counts
4 → 12
Calls
4 calls:
396.0ms
(cbrt x)
422.0ms
(cbrt x)
311.0ms
(* (/ (cbrt x) y) z)
100.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify3.1s

Counts
129 → 129
Iterations
IterNodes
done5000
21295
1460
0172

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes365.0ms

Accuracy

50.9% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.5b

bsearch120.0ms

Steps
ItersRangePoint
10
-1.5101311291801297e+53
-1.6384174958723903e+39
-3.023121659968735e+43

simplify6.0ms

Iterations
IterNodes
done23
123
020

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s10117×body80valid