Details

Time bar (total: 13.4s)

sample23.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5004
61775
5497
4205
3109
250
125
013

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (/ t z) y) 2.0)
0.0b
(- x (/ y (- z (/ (* (/ t z) y) 2.0))))
4.3b
(* (/ t z) y)
7.0b
(/ y (- z (/ (* (/ t z) y) 2.0)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
34×*-un-lft-identity
29×times-frac
24×add-cube-cbrt
20×add-cbrt-cube add-exp-log
13×associate-*l*
8×associate-/r*
6×pow1 cbrt-undiv div-exp add-log-exp difference-of-squares
5×distribute-lft-out--
4×prod-exp cbrt-unprod insert-posit16 associate-/l*
3×associate-*r* div-inv
2×clear-num frac-2neg flip3-- associate-*l/ associate-/r/ flip-- unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative associate-/l/
Counts
4 → 112
Calls
4 calls:
17.0ms
(/ (* (/ t z) y) 2.0)
29.0ms
(- x (/ y (- z (/ (* (/ t z) y) 2.0))))
20.0ms
(* (/ t z) y)
20.0ms
(/ y (- z (/ (* (/ t z) y) 2.0)))

series378.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (* (/ t z) y) 2.0)
114.0ms
(- x (/ y (- z (/ (* (/ t z) y) 2.0))))
27.0ms
(* (/ t z) y)
199.0ms
(/ y (- z (/ (* (/ t z) y) 2.0)))

simplify1.2s

Counts
124 → 124
Iterations
IterNodes
done5000
21369
1452
0193

prune565.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (/ t z) y) 2.0)
1.1b
(/ 1 (/ (- z (/ (* (/ t z) y) 2.0)) y))
4.3b
(* (/ t z) y)
7.0b
(/ (- z (/ (* (/ t z) y) 2.0)) y)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac
117×add-sqr-sqrt
112×*-un-lft-identity
80×add-cube-cbrt
31×add-exp-log
25×associate-/r* add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
13×div-exp associate-*l*
9×cbrt-undiv associate-/l*
8×div-inv
7×pow1
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
3×clear-num frac-2neg associate-*r* associate-/l/
2×rec-exp 1-exp associate-*l/ unswap-sqr
1×flip3-- div-sub pow-prod-down associate-/r/ *-commutative pow-flip flip-- inv-pow
Counts
4 → 198
Calls
4 calls:
15.0ms
(/ (* (/ t z) y) 2.0)
20.0ms
(/ 1 (/ (- z (/ (* (/ t z) y) 2.0)) y))
14.0ms
(* (/ t z) y)
25.0ms
(/ (- z (/ (* (/ t z) y) 2.0)) y)

series144.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* (/ t z) y) 2.0)
38.0ms
(/ 1 (/ (- z (/ (* (/ t z) y) 2.0)) y))
25.0ms
(* (/ t z) y)
50.0ms
(/ (- z (/ (* (/ t z) y) 2.0)) y)

simplify1.9s

Counts
210 → 210
Iterations
IterNodes
done5001
22287
1741
0284

prune877.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 0.5 (/ t z))
0.0b
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
1.1b
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
21×times-frac
19×add-cube-cbrt
13×associate-*r*
12×add-exp-log
10×add-cbrt-cube
6×pow1
5×add-log-exp
3×associate-/r* div-exp associate-*l* associate-/r/ insert-posit16 div-inv associate-/l* difference-of-squares
2×cbrt-undiv flip3-- prod-exp associate-*r/ cbrt-unprod flip-- distribute-lft-out-- unswap-sqr
1×rec-exp clear-num sub-neg frac-2neg diff-log 1-exp pow-prod-down *-commutative frac-sub pow-flip inv-pow
Counts
3 → 86
Calls
3 calls:
24.0ms
(* 0.5 (/ t z))
73.0ms
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
42.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

series122.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* 0.5 (/ t z))
41.0ms
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
46.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

simplify1.8s

Counts
95 → 95
Iterations
IterNodes
done5034
33610
21083
1365
0157

prune312.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z)))))
0.2b
(* (* 0.5 t) (/ 1 z))
1.1b
(/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z))))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
25×add-sqr-sqrt
22×*-un-lft-identity
20×times-frac
18×add-cube-cbrt
17×add-cbrt-cube
13×associate-*r*
12×prod-exp
9×pow1
6×div-exp cbrt-unprod
5×add-log-exp
4×associate-/r/
3×cbrt-undiv rec-exp associate-/r* 1-exp pow-prod-down insert-posit16 div-inv associate-/l* difference-of-squares
2×flip3-- associate-*r/ un-div-inv frac-sub flip-- distribute-lft-out--
1×clear-num sub-neg frac-2neg diff-log associate-*l* *-commutative pow-flip inv-pow
Counts
3 → 93
Calls
3 calls:
72.0ms
(- x (/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z)))))
35.0ms
(* (* 0.5 t) (/ 1 z))
47.0ms
(/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z))))

series101.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- x (/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z)))))
27.0ms
(* (* 0.5 t) (/ 1 z))
29.0ms
(/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z))))

simplify2.1s

Counts
102 → 102
Iterations
IterNodes
done5008
33491
21200
1419
0167

prune429.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes265.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.2s

Algorithm
intervals
Results
969.0ms8000×body80valid