Details

Time bar (total: 10.9s)

sample24.0ms

Algorithm
intervals
Results
11.0ms280×body80valid

simplify113.0ms

Counts
1 → 1
Iterations
IterNodes
done138
9138
8137
7128
6115
590
467
346
227
114
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.3b
(/ (* x (- y z)) (- t z))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac associate-*r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 57
Calls
2 calls:
22.0ms
(* x (- y z))
34.0ms
(/ (* x (- y z)) (- t z))

series131.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* x (- y z))
80.0ms
(/ (* x (- y z)) (- t z))

simplify1.7s

Counts
63 → 63
Iterations
IterNodes
done5002
33446
2808
1275
0107

prune205.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
3.3b
(* x (/ (- y z) (- t z)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative
Counts
2 → 104
Calls
2 calls:
31.0ms
(/ (- y z) (- t z))
56.0ms
(* x (/ (- y z) (- t z)))

series160.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ (- y z) (- t z))
91.0ms
(* x (/ (- y z) (- t z)))

simplify2.2s

Counts
110 → 110
Iterations
IterNodes
done5013
34675
21154
1369
0140

prune310.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y (- t z)) (/ z (- t z)))
0.0b
(/ z (- t z))
0.0b
(/ y (- t z))
3.3b
(* x (- (/ y (- t z)) (/ z (- t z))))

rewrite331.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*r*
12×associate-/r/
10×associate-/r* add-cbrt-cube add-exp-log
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*r/ insert-posit16
3×sub-neg associate-*l*
2×distribute-rgt-in cbrt-undiv clear-num frac-2neg distribute-lft-in div-exp frac-sub sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 148
Calls
4 calls:
89.0ms
(- (/ y (- t z)) (/ z (- t z)))
11.0ms
(/ z (- t z))
10.0ms
(/ y (- t z))
216.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

series283.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (/ y (- t z)) (/ z (- t z)))
59.0ms
(/ z (- t z))
36.0ms
(/ y (- t z))
99.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

simplify1.3s

Counts
160 → 160
Iterations
IterNodes
done5001
21416
1469
0200

prune550.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
3.4b
(/ x (/ (- t z) (- y z)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
1×div-sub
Counts
2 → 196
Calls
2 calls:
37.0ms
(/ (- t z) (- y z))
32.0ms
(/ x (/ (- t z) (- y z)))

series241.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (- t z) (- y z))
181.0ms
(/ x (/ (- t z) (- y z)))

simplify1.6s

Counts
202 → 202
Iterations
IterNodes
done5000
22511
1718
0272

prune583.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes278.0ms

Accuracy

34% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done20
120
016

end0.0ms

sample717.0ms

Algorithm
intervals
Results
473.0ms8724×body80valid