Details

Time bar (total: 12.6s)

sample30.0ms

Algorithm
intervals
Results
12.0ms285×body80valid

simplify135.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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 add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
17.0ms
(* x (- y z))
25.0ms
(/ (* x (- y z)) (- t z))

series110.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
72.0ms
(/ (* x (- y z)) (- t z))

simplify1.8s

Counts
61 → 61
Iterations
IterNodes
done5000
33455
2808
1273
0105

prune295.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.3b
(/ x (/ (- t z) (- y z)))

rewrite51.0ms

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 add-log-exp associate-/l/
1×div-sub
Counts
2 → 194
Calls
2 calls:
18.0ms
(/ (- t z) (- y z))
22.0ms
(/ x (/ (- t z) (- y z)))

series237.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ (- t z) (- y z))
163.0ms
(/ x (/ (- t z) (- y z)))

simplify1.8s

Counts
200 → 200
Iterations
IterNodes
done5002
22516
1716
0270

prune850.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- y z))
0.0b
(/ t (- y z))
0.0b
(- (/ t (- y z)) (/ z (- y z)))
2.3b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
174×times-frac
153×add-sqr-sqrt
68×distribute-lft-out--
57×add-cube-cbrt
38×difference-of-squares
28×associate-/r* associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
13×div-inv
10×add-cbrt-cube add-exp-log
9×associate-/l*
6×add-log-exp
4×pow1
3×cbrt-undiv clear-num frac-2neg div-exp
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 194
Calls
4 calls:
9.0ms
(/ z (- y z))
10.0ms
(/ t (- y z))
71.0ms
(- (/ t (- y z)) (/ z (- y z)))
132.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series332.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ z (- y z))
34.0ms
(/ t (- y z))
97.0ms
(- (/ t (- y z)) (/ z (- y z)))
144.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify1.5s

Counts
206 → 206
Iterations
IterNodes
done5000
21748
1550
0272

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- y z))
0.0b
(- (/ t (- y z)) (* z (/ 1 (- y z))))
0.2b
(* z (/ 1 (- y z)))
2.3b
(/ x (- (/ t (- y z)) (* z (/ 1 (- y z)))))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
48×*-un-lft-identity
44×times-frac
33×add-cube-cbrt
21×associate-*r*
17×add-exp-log
13×add-cbrt-cube
10×associate-/r/
9×associate-/r*
8×div-inv
7×distribute-lft-out-- difference-of-squares
6×pow1 associate-/l* add-log-exp
5×distribute-rgt-out-- associate-*r/ un-div-inv
4×flip3-- div-exp prod-exp frac-sub flip-- sub-div
3×cbrt-undiv associate-*l* unswap-sqr
2×clear-num frac-2neg cbrt-unprod
1×rec-exp sub-neg diff-log 1-exp pow-prod-down *-commutative
Counts
4 → 135
Calls
4 calls:
13.0ms
(/ t (- y z))
62.0ms
(- (/ t (- y z)) (* z (/ 1 (- y z))))
36.0ms
(* z (/ 1 (- y z)))
54.0ms
(/ x (- (/ t (- y z)) (* z (/ 1 (- y z)))))

series341.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ t (- y z))
96.0ms
(- (/ t (- y z)) (* z (/ 1 (- y z))))
59.0ms
(* z (/ 1 (- y z)))
142.0ms
(/ x (- (/ t (- y z)) (* z (/ 1 (- y z)))))

simplify1.6s

Counts
147 → 147
Iterations
IterNodes
done5000
21565
1498
0217

prune723.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes283.0ms

Accuracy

-4% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.4b

bsearch63.0ms

Steps
ItersRangePoint
6
3.801524268396419e-96
4.0552813786339506e-95
2.705228326476906e-95
9
-1.3523590922700464e-165
-9.23604570258494e-175
-5.038397466616709e-172

simplify3.0ms

Iterations
IterNodes
done27
127
022

end0.0ms

sample831.0ms

Algorithm
intervals
Results
426.0ms8736×body80valid