Details

Time bar (total: 12.6s)

sample24.0ms

Algorithm
intervals
Results
9.0ms273×body80valid

simplify219.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3569
4859
51119
61369
71489
81579
done1579

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.6b
(/ (* x (- y z)) (- t z))

rewrite96.0ms

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:
38.0ms
(* x (- y z))
52.0ms
(/ (* x (- y z)) (- t z))

series161.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* x (- y z))
98.0ms
(/ (* x (- y z)) (- t z))

simplify1.4s

Counts
83 → 83
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01571123
1347936
21005772
done5000748

prune236.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.7b
(* x (/ (- y z) (- t z)))

rewrite144.0ms

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:
52.0ms
(/ (- y z) (- t z))
81.0ms
(* x (/ (- y z) (- t z)))

series212.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(/ (- y z) (- t z))
127.0ms
(* x (/ (- y z) (- t z)))

simplify2.3s

Counts
112 → 112
Iterations

Useful iterations: 2 (252.0ms)

IterNodesCost
01421355
13521282
29701200
329051200
done50001200

prune450.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.7b
(/ 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-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:
40.0ms
(/ (- t z) (- y z))
28.0ms
(/ x (/ (- t z) (- y z)))

series333.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(/ (- t z) (- y z))
240.0ms
(/ x (/ (- t z) (- y z)))

simplify1.7s

Counts
204 → 204
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02743524
16253300
222493198
done50003192

prune684.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
9.8b
(* (/ x (- t z)) (- y z))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
50×*-un-lft-identity
34×add-cube-cbrt
31×times-frac
21×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 109
Calls
2 calls:
13.0ms
(/ x (- t z))
88.0ms
(* (/ x (- t z)) (- y z))

series282.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ x (- t z))
242.0ms
(* (/ x (- t z)) (- y z))

simplify1.7s

Counts
115 → 115
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01941693
14571501
212731335
done50001311

prune923.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes144.0ms

Accuracy

4.9% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.3b

bsearch122.0ms

Steps
ItersRangePoint
9
-2.18846814877946e-261
-3.2700529469739983e-270
-8.57064563000427e-270
7
-1.629756594137548e-33
-9.437501128818057e-35
-1.1536650006708072e-33

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01635
12127
done2127

end0.0ms

sample1.2s

Algorithm
intervals
Results
503.0ms8720×body80valid