Details

Time bar (total: 8.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms267×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2309
3649
41299
52139
63379
75789
88349
911259
1012119
done12119

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.7b
(/ x (* (- y z) (- t z)))

rewrite30.0ms

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:
20.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- y z) (- t z))
116.0ms
(/ x (* (- y z) (- t z)))

simplify409.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
0124860
1302844
21304756
done5002756

prune162.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
1.8b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite53.0ms

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/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
6.0ms
(/ 1 (- y z))
5.0ms
(/ x (- t z))
36.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series267.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1 (- y z))
28.0ms
(/ x (- t z))
206.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify807.0ms

Counts
159 → 159
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
01981884
15281680
219681470
done50001470

prune299.0ms

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
(/ x (- t z))
1.8b
(/ (/ x (- t z)) (- y z))

rewrite32.0ms

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:
5.0ms
(/ x (- t z))
16.0ms
(/ (/ x (- t z)) (- y z))

series148.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ x (- t z))
121.0ms
(/ (/ x (- t z)) (- y z))

simplify709.0ms

Counts
191 → 191
Iterations

Useful iterations: 2 (183.0ms)

IterNodesCost
02643352
16433172
223803096
done50003096

prune420.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) x)
0.7b
(/ 1 (/ (- t z) x))
1.8b
(/ (/ 1 (/ (- t z) x)) (- y z))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
1054×times-frac
680×add-sqr-sqrt *-un-lft-identity
414×add-cube-cbrt
133×distribute-lft-out-- difference-of-squares
70×associate-/l*
35×add-exp-log
31×div-inv
27×associate-/r*
22×div-exp
19×add-cbrt-cube
10×cbrt-undiv
9×associate-/r/
4×pow1 rec-exp 1-exp
3×frac-2neg clear-num associate-/l/ add-log-exp
2×flip3-- flip--
1×pow-flip div-sub inv-pow
Counts
3 → 538
Calls
3 calls:
7.0ms
(/ (- t z) x)
9.0ms
(/ 1 (/ (- t z) x))
31.0ms
(/ (/ 1 (/ (- t z) x)) (- y z))

series302.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- t z) x)
62.0ms
(/ 1 (/ (- t z) x))
214.0ms
(/ (/ 1 (/ (- t z) x)) (- y z))

simplify666.0ms

Counts
547 → 547
Iterations

Useful iterations: done (648.0ms)

IterNodesCost
066912152
1177910672
done50009442

prune664.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01011
1139
2159
done159

end0.0ms

sample437.0ms

Algorithm
intervals
Results
221.0ms8484×body80valid