Details

Time bar (total: 3.1s)

sample18.0ms

Algorithm
intervals
Results
6.0ms286×body80valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004
done7004

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.4b
(/ (* x (- y z)) (- t z))

rewrite46.0ms

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:
20.0ms
(* x (- y z))
24.0ms
(/ (* x (- y z)) (- t z))

series101.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (- y z))
67.0ms
(/ (* x (- y z)) (- t z))

simplify33.0ms

Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11209239
25001239
done5001239

prune111.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

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:
30.0ms
(/ (- t z) (- y z))
27.0ms
(/ x (/ (- t z) (- y z)))

series195.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- t z) (- y z))
148.0ms
(/ x (/ (- t z) (- y z)))

simplify72.0ms

Counts
200 → 200
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06331784
128631733
250011730
done50011730

prune380.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* (- t z) (/ 1 (- y z)))
2.6b
(/ x (* (- t z) (/ 1 (- y z))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r/
8×prod-exp distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv flip3-- associate-/r* flip-- associate-/l*
5×associate-*l*
4×frac-times associate-*l/ cbrt-unprod
3×rec-exp 1-exp div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 122
Calls
3 calls:
12.0ms
(/ 1 (- y z))
47.0ms
(* (- t z) (/ 1 (- y z)))
20.0ms
(/ x (* (- t z) (/ 1 (- y z))))

series223.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- y z))
47.0ms
(* (- t z) (/ 1 (- y z)))
142.0ms
(/ x (* (- t z) (/ 1 (- y z))))

simplify43.0ms

Counts
131 → 131
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0406708
11892595
25001547
done5001547

prune201.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
230×times-frac
202×add-sqr-sqrt *-un-lft-identity
124×unpow-prod-down
98×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
40×associate-/r*
12×add-exp-log
10×associate-/r/
8×associate-/l*
6×flip3-- div-exp add-cbrt-cube flip-- div-inv
4×sqr-pow
2×pow1 cbrt-undiv frac-2neg pow-exp clear-num associate-/l/ add-log-exp
1×pow-to-exp div-sub
Counts
2 → 210
Calls
2 calls:
22.0ms
(/ (- t z) (- y z))
48.0ms
(/ x (pow (/ (- t z) (- y z)) 1))

series192.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- t z) (- y z))
142.0ms
(/ x (pow (/ (- t z) (- y z)) 1))

simplify69.0ms

Counts
216 → 216
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06482175
127151886
250021875
done50021875

prune424.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes132.0ms

Accuracy

1.3% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.4b

bsearch59.0ms

Steps
ItersRangePoint
6
2.0329883604832714e-109
3.1855599579881154e-108
1.627532321675119e-108
10
1.7924569113841357e-300
4.23712163642327e-287
1.3697525266715117e-295

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02510
12510
done2510

end0.0ms

sample506.0ms

Algorithm
intervals
Results
207.0ms8715×body80valid