Details

Time bar (total: 9.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms273×body80valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2299
3539
4759
5989
61189
71289
81379
done1379

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
8.4b
(/ (* x (- y z)) (- t z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
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 distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
9.0ms
(* x (- y z))
10.0ms
(/ (* x (- y z)) (- t z))

series104.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* x (- y z))
68.0ms
(/ (* x (- y z)) (- t z))

simplify1.7s

Counts
61 → 61
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0105599
1264575
2847501
33535501
done5000499

prune120.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.7b
(* x (/ (- y z) (- t z)))

rewrite42.0ms

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 div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
11.0ms
(/ (- y z) (- t z))
26.0ms
(* x (/ (- y z) (- t z)))

series119.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y z) (- t z))
69.0ms
(* x (/ (- y z) (- t z)))

simplify1.5s

Counts
108 → 108
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01381319
13501247
29171165
327791165
done50001163

prune218.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.7b
(/ x (/ (- t z) (- y z)))

rewrite38.0ms

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 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
10.0ms
(/ (- t z) (- y z))
16.0ms
(/ x (/ (- t z) (- y z)))

series199.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- t z) (- y z))
151.0ms
(/ x (/ (- t z) (- y z)))

simplify805.0ms

Counts
200 → 200
Iterations

Useful iterations: 2 (259.0ms)

IterNodesCost
02703488
16343268
222083166
done50003166

prune412.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.8b
(/ 1 (/ (/ (- t z) (- y z)) x))
2.6b
(/ (/ (- t z) (- y z)) x)

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
793×add-sqr-sqrt *-un-lft-identity
449×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 611
Calls
3 calls:
11.0ms
(/ (- t z) (- y z))
29.0ms
(/ 1 (/ (/ (- t z) (- y z)) x))
22.0ms
(/ (/ (- t z) (- y z)) x)

series295.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- t z) (- y z))
157.0ms
(/ 1 (/ (/ (- t z) (- y z)) x))
86.0ms
(/ (/ (- t z) (- y z)) x)

simplify1.9s

Counts
620 → 620
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
070313927
1177612317
2390111075
done500011075

prune932.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes120.0ms

Accuracy

-3.3% (2.4b remaining)

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

bsearch58.0ms

Steps
ItersRangePoint
5
5.420416486519561e-189
2.1317855613051496e-188
1.3630667508234389e-188
8
-0.008135521330398372
-1.1893147564346013e-06
-1.2131459224267867e-06

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01939
12531
done2531

end0.0ms

sample483.0ms

Algorithm
intervals
Results
247.0ms8722×body80valid