Details

Time bar (total: 12.2s)

sample18.0ms

Algorithm
intervals
Results
6.0ms271×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3659
41569
52579
64009
76029
87339
98279
108349
done8349

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.7b
(/ x (* (- y z) (- t z)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
35.0ms
(* (- y z) (- t z))
19.0ms
(/ x (* (- y z) (- t z)))

series165.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- y z) (- t z))
132.0ms
(/ x (* (- y z) (- t z)))

simplify789.0ms

Counts
69 → 69
Iterations

Useful iterations: done (787.0ms)

IterNodesCost
0124860
1299844
21207756
done5000752

prune154.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.7b
(/ (/ x (- y z)) (- t z))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
11.0ms
(/ x (- y z))
32.0ms
(/ (/ x (- y z)) (- t z))

series164.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (- y z))
132.0ms
(/ (/ x (- y z)) (- t z))

simplify2.0s

Counts
191 → 191
Iterations

Useful iterations: 2 (227.0ms)

IterNodesCost
02643352
16343172
216443096
349603096
done50003096

prune408.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.0b
(/ x (- y z))
1.7b
(* (/ x (- y z)) (/ 1 (- t z)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 151
Calls
3 calls:
13.0ms
(/ 1 (- t z))
11.0ms
(/ x (- y z))
60.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

series201.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (- t z))
30.0ms
(/ x (- y z))
135.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

simplify1.8s

Counts
160 → 160
Iterations

Useful iterations: 2 (207.0ms)

IterNodesCost
01981884
15031639
212341451
333351451
done50001451

prune266.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.4b
(/ (/ 1 1) (/ (- t z) (/ x (- y z))))
1.6b
(/ (- t z) (/ x (- y z)))

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
5159×times-frac
2900×add-sqr-sqrt *-un-lft-identity
1804×add-cube-cbrt
548×distribute-lft-out-- difference-of-squares
204×div-inv
170×associate-/r/
136×associate-/r*
78×flip3-- flip--
70×add-exp-log
58×div-exp
31×add-cbrt-cube
21×associate-/l*
19×cbrt-undiv
15×1-exp
6×rec-exp
3×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
3 → 1778
Calls
3 calls:
11.0ms
(/ x (- y z))
76.0ms
(/ (/ 1 1) (/ (- t z) (/ x (- y z))))
27.0ms
(/ (- t z) (/ x (- y z)))

series338.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ x (- y z))
220.0ms
(/ (/ 1 1) (/ (- t z) (/ x (- y z))))
85.0ms
(/ (- t z) (/ x (- y z)))

simplify987.0ms

Counts
1787 → 1787
Iterations

Useful iterations: done (918.0ms)

IterNodesCost
0205955833
done500046482

prune2.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (2.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11311
done1311

end0.0ms

sample470.0ms

Algorithm
intervals
Results
195.0ms8453×body80valid