Details

Time bar (total: 11.7s)

sample33.0ms

Algorithm
intervals
Results
12.0ms282×body80valid

simplify263.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3549
4819
51099
61299
71399
81509
91549
101609
111629
done1629

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:
22.0ms
(* x (- y z))
25.0ms
(/ (* x (- y z)) (- t z))

series122.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* x (- y z))
77.0ms
(/ (* x (- y z)) (- t z))

simplify753.0ms

Counts
61 → 61
Iterations

Useful iterations: done (751.0ms)

IterNodesCost
0105599
1280575
21110509
done5001501

prune163.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite89.0ms

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:
37.0ms
(/ (- t z) (- y z))
35.0ms
(/ x (/ (- t z) (- y z)))

series281.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (- t z) (- y z))
222.0ms
(/ x (/ (- t z) (- y z)))

simplify1.4s

Counts
200 → 200
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02703488
17323308
238013172
done50003166

prune581.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
1586×times-frac
1203×add-sqr-sqrt *-un-lft-identity
710×distribute-lft-neg-in distribute-rgt-neg-in
635×add-cube-cbrt
284×distribute-lft-out-- difference-of-squares
216×associate-/r*
142×neg-mul-1
17×associate-/l*
12×distribute-neg-frac
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×neg-sub0 div-sub distribute-frac-neg
Counts
2 → 1068
Calls
2 calls:
48.0ms
(/ (- (- t z)) (- (- y z)))
75.0ms
(/ x (/ (- (- t z)) (- (- y z))))

series284.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(/ (- (- t z)) (- (- y z)))
206.0ms
(/ x (/ (- (- t z)) (- (- y z))))

simplify2.0s

Counts
1074 → 1074
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0113922747
1337921508
done500021232

prune3.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite101.0ms

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:
22.0ms
(/ (- y z) (- t z))
74.0ms
(* x (/ (- y z) (- t z)))

series172.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(/ (- y z) (- t z))
91.0ms
(* x (/ (- y z) (- t z)))

simplify784.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (284.0ms)

IterNodesCost
01381319
13741259
215211169
done50001169

prune238.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes186.0ms

Accuracy

-3.8% (2.0b remaining)

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

bsearch89.0ms

Steps
ItersRangePoint
8
2.0501946885907767e-231
1.0002234109683664e-227
1.347010727602844e-230
7
-1.6017449741133015e-127
-1.3200946987039816e-129
-8.765285027918579e-128

simplify11.0ms

Iterations

Useful iterations: 4 (9.0ms)

IterNodesCost
02241
13141
23941
34341
44640
done4640

end0.0ms

sample857.0ms

Algorithm
intervals
Results
366.0ms8642×body80valid