Details

Time bar (total: 11.2s)

sample30.0ms

Algorithm
intervals
Results
11.0ms282×body80valid

simplify243.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3569
4899
51209
61459
71579
81689
91729
101789
111809
done1809

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

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:
29.0ms
(* x (- y z))
30.0ms
(/ (* x (- y z)) (- t z))

series122.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (- y z))
80.0ms
(/ (* x (- y z)) (- t z))

simplify904.0ms

Counts
83 → 83
Iterations

Useful iterations: done (901.0ms)

IterNodesCost
01571123
1398942
21623778
done5001748

prune208.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.5b
(/ x (/ (- t z) (- y z)))

rewrite82.0ms

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:
27.0ms
(/ (- t z) (- y z))
36.0ms
(/ x (/ (- t z) (- y z)))

series286.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(/ (- t z) (- y z))
186.0ms
(/ x (/ (- t z) (- y z)))

simplify1.7s

Counts
204 → 204
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02743524
17433340
238813202
done50013198

prune525.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t (- y z)) (/ z (- y z)))
0.0b
(/ z (- y z))
0.0b
(/ t (- y z))
2.5b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite487.0ms

Algorithm
rewrite-expression-head
Rules
848×*-un-lft-identity
819×times-frac
798×add-sqr-sqrt
444×add-cube-cbrt
441×prod-diff
197×distribute-lft-out--
167×difference-of-squares
114×associate-/r/
57×flip3-- flip--
56×div-inv
28×associate-/r*
21×fma-neg
15×distribute-rgt-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×cbrt-undiv frac-2neg div-exp clear-num
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 664
Calls
4 calls:
165.0ms
(- (/ t (- y z)) (/ z (- y z)))
17.0ms
(/ z (- y z))
13.0ms
(/ t (- y z))
188.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series417.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(- (/ t (- y z)) (/ z (- y z)))
79.0ms
(/ z (- y z))
42.0ms
(/ t (- y z))
181.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify963.0ms

Counts
676 → 676
Iterations

Useful iterations: done (908.0ms)

IterNodesCost
067430232
1147827287
done500022217

prune2.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.5b
(* x (/ (- y z) (- t z)))

rewrite86.0ms

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:
25.0ms
(/ (- y z) (- t z))
56.0ms
(* x (/ (- y z) (- t z)))

series212.0ms

Counts
2 → 6
Calls
2 calls:
103.0ms
(/ (- y z) (- t z))
108.0ms
(* x (/ (- y z) (- t z)))

simplify987.0ms

Counts
112 → 112
Iterations

Useful iterations: done (982.0ms)

IterNodesCost
01421355
13811294
215331208
done50001204

prune346.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes221.0ms

Accuracy

-3.6% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch99.0ms

Steps
ItersRangePoint
8
2.0501946885907767e-231
1.0002234109683664e-227
5.0531458872586347e-231
6
-1.4501730428386927e-126
-1.6017449741133015e-127
-8.726304656018532e-127

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02342
12942
23342
33442
done3442

end0.0ms

sample970.0ms

Algorithm
intervals
Results
444.0ms8642×body80valid