Details

Time bar (total: 10.0s)

sample18.0ms

Algorithm
intervals
Results
7.0ms279×body80valid

simplify100.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2299
3559
4839
51099
61349
71469
81559
done1559

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.1b
(/ (* x (- y z)) (- t z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
14.0ms
(* x (- y z))
13.0ms
(/ (* x (- y z)) (- t z))

series113.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (- y z))
71.0ms
(/ (* x (- y z)) (- t z))

simplify2.3s

Counts
83 → 83
Iterations

Useful iterations: 3 (891.0ms)

IterNodesCost
01571123
1343936
21017772
34817730
done5000730

prune167.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.9b
(/ x (/ (- t z) (- y z)))

rewrite40.0ms

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-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
11.0ms
(/ (- t z) (- y z))
17.0ms
(/ x (/ (- t z) (- y z)))

series236.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ (- t z) (- y z))
162.0ms
(/ x (/ (- t z) (- y z)))

simplify839.0ms

Counts
204 → 204
Iterations

Useful iterations: 2 (292.0ms)

IterNodesCost
02743524
16433300
222323198
done50013198

prune491.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- y z))
0.0b
(/ z (- y z))
1.9b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
174×*-un-lft-identity
156×times-frac
134×add-sqr-sqrt
56×distribute-lft-out--
54×add-cube-cbrt
32×difference-of-squares
28×associate-/r*
24×associate-/r/
12×distribute-rgt-out--
11×flip3-- flip-- div-inv
9×add-exp-log add-cbrt-cube associate-/l*
3×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u add-log-exp
1×frac-sub sub-div
Counts
3 → 171
Calls
3 calls:
5.0ms
(/ t (- y z))
6.0ms
(/ z (- y z))
73.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series199.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ t (- y z))
48.0ms
(/ z (- y z))
115.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify2.5s

Counts
180 → 180
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02702822
15042633
213152559
342902417
done50002415

prune479.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
11.0ms
(/ (- y z) (- t z))
27.0ms
(* x (/ (- y z) (- t z)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- y z) (- t z))
76.0ms
(* x (/ (- y z) (- t z)))

simplify1.3s

Counts
112 → 112
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01421355
13571282
29351200
328661200
done50001198

prune256.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes107.0ms

Accuracy

-15.9% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.0b

bsearch93.0ms

Steps
ItersRangePoint
10
-8.572863479431592e-261
-2.5998418277454444e-272
-1.7069294686818465e-261
8
-7.482789825668885e+35
-5.079470124687608e+32
-1.390173372602323e+33

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02045
12731
done2731

end0.0ms

sample460.0ms

Algorithm
intervals
Results
234.0ms8726×body80valid