Details

Time bar (total: 10.0s)

sample25.0ms

Algorithm
intervals
Results
10.0ms322×body80valid

simplify810.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
51323
4372
3113
244
122
08

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

7.6b
(* (/ x z) (+ (- y z) 1.0))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-cube-cbrt
6×add-cbrt-cube add-exp-log
5×associate-*r*
3×pow1
2×frac-times flip3-+ prod-exp associate-*r/ cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp
Counts
1 → 40
Calls
1 calls:
127.0ms
(* (/ x z) (+ (- y z) 1.0))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* (/ x z) (+ (- y z) 1.0))

simplify808.0ms

Counts
43 → 43
Iterations
IterNodes
done5000
21581
1346
094

prune249.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.1b
(* (/ (cbrt x) z) (+ (- y z) 1.0))
2.8b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (+ (- y z) 1.0)))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
27×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×frac-times pow1 associate-*r/
10×cbrt-undiv
6×flip3-+ 1-exp associate-*r* flip-+
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv distribute-lft-out
1×distribute-lft-out--
Counts
4 → 129
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
77.0ms
(* (/ (cbrt x) z) (+ (- y z) 1.0))
156.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (+ (- y z) 1.0)))

series848.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt x)
280.0ms
(cbrt x)
175.0ms
(* (/ (cbrt x) z) (+ (- y z) 1.0))
110.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (+ (- y z) 1.0)))

simplify568.0ms

Counts
141 → 141
Iterations
IterNodes
done5000
1854
0223

prune807.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x (/ z y)) (- (* 1.0 (/ x z)) x))
6.0b
(/ x (/ z y))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
46×*-un-lft-identity
44×add-sqr-sqrt add-cube-cbrt
13×associate-/r*
7×add-cbrt-cube add-exp-log add-log-exp
5×div-inv
3×cbrt-undiv div-exp associate-/l*
2×pow1 associate-+r+ sum-log frac-add
1×+-commutative clear-num associate-+r- sub-neg frac-2neg flip3-+ flip3-- diff-log associate-/r/ flip-+ flip-- distribute-lft-out
Counts
2 → 88
Calls
2 calls:
87.0ms
(+ (/ x (/ z y)) (- (* 1.0 (/ x z)) x))
21.0ms
(/ x (/ z y))

series99.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(+ (/ x (/ z y)) (- (* 1.0 (/ x z)) x))
27.0ms
(/ x (/ z y))

simplify1.3s

Counts
94 → 94
Iterations
IterNodes
done5000
22516
1555
0197

prune541.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1 (/ z (* x y))) (- (* 1.0 (/ x z)) x))
0.6b
(/ 1 (/ z (* x y)))
6.6b
(/ z (* x y))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
29×add-exp-log
24×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
17×add-cbrt-cube
14×div-exp
8×associate-/r* add-log-exp
7×cbrt-undiv div-inv
6×associate-/l*
4×pow1 prod-exp
3×rec-exp 1-exp
2×associate-+r+ clear-num sum-log frac-2neg frac-add cbrt-unprod distribute-lft-out
1×+-commutative associate-+r- sub-neg flip3-+ flip3-- diff-log associate-/r/ flip-+ pow-flip flip-- inv-pow
Counts
3 → 96
Calls
3 calls:
62.0ms
(+ (/ 1 (/ z (* x y))) (- (* 1.0 (/ x z)) x))
24.0ms
(/ 1 (/ z (* x y)))
12.0ms
(/ z (* x y))

series114.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (/ 1 (/ z (* x y))) (- (* 1.0 (/ x z)) x))
36.0ms
(/ 1 (/ z (* x y)))
23.0ms
(/ z (* x y))

simplify1.4s

Counts
105 → 105
Iterations
IterNodes
done5001
23006
1480
0166

prune363.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes204.0ms

Accuracy

86.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.1b

bsearch86.0ms

Steps
ItersRangePoint
6
7.34498270994874e+96
6.83737015454337e+97
7.454484818730053e+96
7
-1.7812108373098737e-45
-7.98222952215849e-47
-1.2532726452699803e-46

simplify3.0ms

Iterations
IterNodes
done30
130
021

end0.0ms

sample1.0s

Algorithm
intervals
Results
486.0ms10107×body80valid