Details

Time bar (total: 10.4s)

sample18.0ms

Algorithm
intervals
Results
7.0ms274×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2309
3639
41249
52049
63279
74909
87649
910129
1010289
done10289

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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:
17.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- y z) (- t z))
126.0ms
(/ x (* (- y z) (- t z)))

simplify583.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
0124860
1300844
21214756
done5000756

prune175.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×associate-/r/ add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 110
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
41.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series701.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x)
181.0ms
(cbrt x)
184.0ms
(cbrt x)
150.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify835.0ms

Counts
122 → 122
Iterations

Useful iterations: 2 (335.0ms)

IterNodesCost
01801821
15351741
221111345
done50001345

prune371.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

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:
5.0ms
(/ x (- t z))
5.0ms
(/ 1 (- y z))
36.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series287.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ x (- t z))
36.0ms
(/ 1 (- y z))
223.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify3.5s

Counts
159 → 159
Iterations

Useful iterations: 2 (216.0ms)

IterNodesCost
01981884
15191646
213301470
347421470
done50001470

prune498.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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))
15.0ms
(/ (/ x (- t z)) (- y z))

series154.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ x (- t z))
126.0ms
(/ (/ x (- t z)) (- y z))

simplify847.0ms

Counts
191 → 191
Iterations

Useful iterations: 2 (257.0ms)

IterNodesCost
02643352
16373172
218463096
done50003096

prune425.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes180.0ms

Accuracy

52.8% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02354
12752
done2752

end0.0ms

sample452.0ms

Algorithm
intervals
Results
226.0ms8428×body80valid