Details

Time bar (total: 15.5s)

sample37.0ms

Algorithm
intervals
Results
15.0ms273×body80valid

simplify230.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3569
4859
51119
61369
71489
81579
done1579

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
14.9b
(/ (* x (- y z)) (- t z))

rewrite77.0ms

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:
24.0ms
(* x (- y z))
50.0ms
(/ (* x (- y z)) (- t z))

series161.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* x (- y z))
102.0ms
(/ (* x (- y z)) (- t z))

simplify1.2s

Counts
83 → 83
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01571123
1347936
21005772
done5000748

prune231.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.1b
(/ x (/ (- t z) (- y z)))

rewrite112.0ms

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:
48.0ms
(/ (- t z) (- y z))
45.0ms
(/ x (/ (- t z) (- y z)))

series301.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (- t z) (- y z))
231.0ms
(/ x (/ (- t z) (- y z)))

simplify2.2s

Counts
204 → 204
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02743524
16253300
222493198
done50003192

prune730.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- y z))
0.0b
(/ z (- y z))
2.1b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite306.0ms

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:
27.0ms
(/ t (- y z))
23.0ms
(/ z (- y z))
235.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series375.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ t (- y z))
99.0ms
(/ z (- y z))
214.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify2.7s

Counts
180 → 180
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02702822
15022633
213222563
333222417
done50002407

prune784.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- y z))
0.0b
(/ 1 (- y z))
0.1b
(* z (/ 1 (- y z)))
2.1b
(/ x (- (/ t (- y z)) (* z (/ 1 (- y z)))))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
66×*-un-lft-identity
59×times-frac
43×add-cube-cbrt
21×add-exp-log associate-*r*
15×add-cbrt-cube
14×associate-/r*
12×associate-/r/
11×distribute-lft-out-- difference-of-squares
9×associate-/l*
8×div-inv
7×pow1
6×div-exp
4×cbrt-undiv expm1-log1p-u flip3-- distribute-rgt-out-- prod-exp flip-- log1p-expm1-u add-log-exp
3×frac-2neg associate-*r/ associate-*l* clear-num un-div-inv unswap-sqr
2×rec-exp 1-exp frac-sub cbrt-unprod sub-div
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 167
Calls
4 calls:
12.0ms
(/ t (- y z))
16.0ms
(/ 1 (- y z))
51.0ms
(* z (/ 1 (- y z)))
106.0ms
(/ x (- (/ t (- y z)) (* z (/ 1 (- y z)))))

series356.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ t (- y z))
69.0ms
(/ 1 (- y z))
69.0ms
(* z (/ 1 (- y z)))
166.0ms
(/ x (- (/ t (- y z)) (* z (/ 1 (- y z)))))

simplify3.5s

Counts
179 → 179
Iterations

Useful iterations: done (3.5s)

IterNodesCost
02312123
14751773
211021651
328971569
done50021567

prune603.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes178.0ms

Accuracy

-1.1% (2.2b remaining)

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

bsearch82.0ms

Steps
ItersRangePoint
9
-7.918529426048614e+40
-8.136008040048732e+33
-1.5118885371134949e+40

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01728
11928
done1928

end0.0ms

sample1.1s

Algorithm
intervals
Results
532.0ms8721×body80valid