Details

Time bar (total: 3.6s)

sample21.0ms

Algorithm
intervals
Results
7.0ms286×body80valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2564
3864
41184
51454
61564
71664
81674
91714
101754
112864
123244
133504
144484
155174
165994
177054
187994
198084
208084
done8084

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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:
26.0ms
(* x (- y z))
28.0ms
(/ (* x (- y z)) (- t z))

series119.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* x (- y z))
75.0ms
(/ (* x (- y z)) (- t z))

simplify58.0ms

Counts
83 → 83
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0346543
11624380
25001380
done5001380

prune154.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

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:
23.0ms
(/ (- t z) (- y z))
25.0ms
(/ x (/ (- t z) (- y z)))

series225.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (- t z) (- y z))
167.0ms
(/ x (/ (- t z) (- y z)))

simplify83.0ms

Counts
204 → 204
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06421801
128871748
250011745
done50011745

prune470.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

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))))

rewrite88.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u 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 → 128
Calls
3 calls:
12.0ms
(/ 1 (- y z))
47.0ms
(* (- t z) (/ 1 (- y z)))
24.0ms
(/ x (* (- t z) (/ 1 (- y z))))

series256.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- y z))
56.0ms
(* (- t z) (/ 1 (- y z)))
163.0ms
(/ x (* (- t z) (/ 1 (- y z))))

simplify56.0ms

Counts
137 → 137
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0416735
11904622
25003574
done5003574

prune270.0ms

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

rewrite63.0ms

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))
24.0ms
(/ x (/ (- t z) (- y z)))

series225.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- t z) (- y z))
171.0ms
(/ x (/ (- t z) (- y z)))

simplify83.0ms

Counts
204 → 204
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06421801
128871748
250011745
done50011745

prune446.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes138.0ms

Accuracy

1.3% (2.3b remaining)

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

bsearch68.0ms

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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249
done249

end0.0ms

sample518.0ms

Algorithm
intervals
Results
214.0ms8715×body80valid