Details

Time bar (total: 7.5s)

sample36.0ms

Algorithm
intervals
Results
21.0ms297×body80valid

simplify42.0ms

Counts
1 → 1
Iterations
IterNodes
done55
455
353
230
113
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (* y 4.0) z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip--
Counts
1 → 13
Calls
1 calls:
7.0ms
(- x (* (* y 4.0) z))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(- x (* (* y 4.0) z))

simplify679.0ms

Counts
16 → 16
Iterations
IterNodes
done2001
31163
2272
185
033

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y 4.0) z))
0.3b
(* (* (* y 4.0) z) (* (* y 4.0) z))
3.7b
(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
30.5b
(/ (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ x (* (* y 4.0) z)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
118×pow1
66×pow-prod-down
42×add-cbrt-cube add-exp-log
27×prod-exp cbrt-unprod
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
9×pow-sqr pow-prod-up
8×add-log-exp
5×difference-of-squares
4×insert-posit16 associate-/l*
3×associate-/r* pow-plus
2×flip3-+ flip3-- associate-/r/ flip-+ flip-- associate-/l/
1×pow2 cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub swap-sqr div-exp associate-*r* associate-*l* *-commutative div-inv
Counts
4 → 124
Calls
4 calls:
5.0ms
(+ x (* (* y 4.0) z))
69.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
8.0ms
(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
36.0ms
(/ (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ x (* (* y 4.0) z)))

series290.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ x (* (* y 4.0) z))
40.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
100.0ms
(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
95.0ms
(/ (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ x (* (* y 4.0) z)))

simplify925.0ms

Counts
136 → 136
Iterations
IterNodes
done2001
21792
1482
0162

prune424.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
19×times-frac
15×associate-*r*
11×add-cbrt-cube add-exp-log
8×add-log-exp
6×pow1
5×flip3-+ flip-+
4×associate-/r/ insert-posit16
3×associate-/r* associate-*l* associate-/l*
2×frac-times cbrt-undiv flip3-- div-exp associate-*l/ prod-exp cbrt-unprod div-inv flip-- unswap-sqr associate-/l/
1×+-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*r/ *-commutative
Counts
4 → 97
Calls
4 calls:
9.0ms
(+ x (* (* y 4.0) z))
26.0ms
(/ (- x (* (* y 4.0) z)) (+ x (* (* y 4.0) z)))
7.0ms
(- x (* (* y 4.0) z))
42.0ms
(* (+ x (* (* y 4.0) z)) (/ (- x (* (* y 4.0) z)) (+ x (* (* y 4.0) z))))

series277.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ x (* (* y 4.0) z))
82.0ms
(/ (- x (* (* y 4.0) z)) (+ x (* (* y 4.0) z)))
66.0ms
(- x (* (* y 4.0) z))
72.0ms
(* (+ x (* (* y 4.0) z)) (/ (- x (* (* y 4.0) z)) (+ x (* (* y 4.0) z))))

simplify874.0ms

Counts
109 → 109
Iterations
IterNodes
done2005
21613
1364
0126

prune528.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x (* (* y 4.0) z)) (- (/ x (+ x (* (* y 4.0) z))) (/ (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))
0.0b
(- (/ x (+ x (* (* y 4.0) z))) (/ (* (* y 4.0) z) (+ x (* (* y 4.0) z))))
0.1b
(/ x (+ x (* (* y 4.0) z)))
3.8b
(/ (* (* y 4.0) z) (+ x (* (* y 4.0) z)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
20×*-un-lft-identity
17×add-cbrt-cube add-exp-log
16×add-cube-cbrt
14×times-frac
12×associate-/r/
11×flip3-+ flip-+
9×associate-*r*
8×frac-times
6×pow1 associate-/r* distribute-rgt-out-- div-inv add-log-exp
4×cbrt-undiv flip3-- div-exp prod-exp associate-*r/ frac-sub cbrt-unprod insert-posit16 flip-- associate-/l* sub-div difference-of-squares
3×sub-neg associate-*l*
2×distribute-rgt-in clear-num frac-2neg distribute-lft-in associate-*l/ distribute-lft-out--
1×diff-log pow-prod-down *-commutative unswap-sqr
Counts
4 → 120
Calls
4 calls:
109.0ms
(* (+ x (* (* y 4.0) z)) (- (/ x (+ x (* (* y 4.0) z))) (/ (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))
34.0ms
(- (/ x (+ x (* (* y 4.0) z))) (/ (* (* y 4.0) z) (+ x (* (* y 4.0) z))))
10.0ms
(/ x (+ x (* (* y 4.0) z)))
30.0ms
(/ (* (* y 4.0) z) (+ x (* (* y 4.0) z)))

series419.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (+ x (* (* y 4.0) z)) (- (/ x (+ x (* (* y 4.0) z))) (/ (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))
83.0ms
(- (/ x (+ x (* (* y 4.0) z))) (/ (* (* y 4.0) z) (+ x (* (* y 4.0) z))))
94.0ms
(/ x (+ x (* (* y 4.0) z)))
73.0ms
(/ (* (* y 4.0) z) (+ x (* (* y 4.0) z)))

simplify541.0ms

Counts
132 → 132
Iterations
IterNodes
done2001
1584
0198

prune534.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample1.1s

Algorithm
intervals
Results
567.0ms9159×body80valid