Details

Time bar (total: 15.2s)

sample43.0ms

Algorithm
intervals
Results
21.0ms332×body80valid

simplify59.0ms

Counts
1 → 1
Iterations
IterNodes
done54
754
651
548
442
335
229
116
010

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.2b
(* (/ x y) z)

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-/r* associate-*r* associate-*l/
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 79
Calls
3 calls:
21.0ms
(/ (+ x 4.0) y)
58.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
12.0ms
(* (/ x y) z)

series129.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (+ x 4.0) y)
54.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
33.0ms
(* (/ x y) z)

simplify1.4s

Counts
88 → 88
Iterations
IterNodes
done5000
21132
1351
0142

prune598.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (/ (cbrt x) y) z)
2.8b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite98.0ms

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×*-un-lft-identity add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-exp
4×associate-*r* pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
31.0ms
(* (/ (cbrt x) y) z)
56.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series907.0ms

Counts
4 → 12
Calls
4 calls:
316.0ms
(cbrt x)
319.0ms
(cbrt x)
181.0ms
(* (/ (cbrt x) y) z)
90.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify1.9s

Counts
121 → 121
Iterations
IterNodes
done5001
21322
1453
0166

prune748.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

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

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
597×add-exp-log
374×prod-exp
183×div-exp
119×add-cbrt-cube
94×cbrt-unprod
74×1-exp
47×cbrt-undiv
30×rec-exp
13×pow1
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*l* associate-*l/
6×pow-prod-down
5×frac-times associate-*r/
4×add-log-exp
3×times-frac pow1/3
1×associate-*r* *-commutative div-inv
Counts
4 → 199
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
265.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))

series930.0ms

Counts
4 → 12
Calls
4 calls:
286.0ms
(cbrt x)
281.0ms
(cbrt x)
322.0ms
(cbrt x)
40.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z)))

simplify2.4s

Counts
211 → 211
Iterations
IterNodes
done5026
22906
1819
0295

prune589.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(/ (* (cbrt x) z) y)
2.8b
(* (/ (* (cbrt x) (cbrt x)) 1) (/ (* (cbrt x) z) y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
27×prod-exp
24×div-exp
17×add-sqr-sqrt
16×cbrt-unprod
14×cbrt-undiv
13×*-un-lft-identity
12×add-cube-cbrt
11×times-frac
7×associate-*r* associate-*l*
6×cbrt-prod pow1 1-exp
4×add-log-exp
3×associate-/r* div-inv unswap-sqr
2×pow1/3
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l*
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
9.0ms
(/ (* (cbrt x) z) y)
36.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (/ (* (cbrt x) z) y))

series742.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt x)
260.0ms
(cbrt x)
170.0ms
(/ (* (cbrt x) z) y)
64.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (/ (* (cbrt x) z) y))

simplify1.9s

Counts
108 → 108
Iterations
IterNodes
done5001
21438
1440
0149

prune551.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes247.0ms

Accuracy

63.9% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.2b

bsearch91.0ms

Steps
ItersRangePoint
8
4.8449879754493305e+83
2.4695855038465726e+86
5.600885815035954e+83
8
-9.123768475329525e+162
-1.8254437613711665e+160
-6.123189090912366e+161

simplify6.0ms

Iterations
IterNodes
done30
130
022

end0.0ms

sample1.3s

Algorithm
intervals
Results
968.0ms10220×body80valid