Details

Time bar (total: 8.5s)

sample20.0ms

Algorithm
intervals
Results
10.0ms271×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.1b
(/ x (* (- y z) (- t z)))

rewrite34.0ms

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:
21.0ms
(* (- y z) (- t z))
10.0ms
(/ x (* (- y z) (- t z)))

series172.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- y z) (- t z))
138.0ms
(/ x (* (- y z) (- t z)))

simplify470.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
0124860
1302844
21304756
done5002756

prune177.0ms

Pruning

8 alts after pruning (8 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)))

rewrite57.0ms

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))
6.0ms
(/ x (- t z))
38.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series279.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- y z))
30.0ms
(/ x (- t z))
215.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify917.0ms

Counts
159 → 159
Iterations

Useful iterations: 2 (203.0ms)

IterNodesCost
01981884
15281680
219681470
done50001470

prune298.0ms

Pruning

8 alts after pruning (7 fresh and 1 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))

rewrite37.0ms

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))
20.0ms
(/ (/ x (- t z)) (- y z))

series151.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (- t z))
121.0ms
(/ (/ x (- t z)) (- y z))

simplify801.0ms

Counts
191 → 191
Iterations

Useful iterations: 2 (188.0ms)

IterNodesCost
02643352
16433172
223803096
done50003096

prune522.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.3b
(/ (/ x (- y z)) (- t z))

rewrite45.0ms

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:
7.0ms
(/ x (- y z))
20.0ms
(/ (/ x (- y z)) (- t z))

series161.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ x (- y z))
133.0ms
(/ (/ x (- y z)) (- t z))

simplify785.0ms

Counts
191 → 191
Iterations

Useful iterations: 2 (198.0ms)

IterNodesCost
02643352
16433172
223803096
done50003096

prune440.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes164.0ms

Accuracy

35.6% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02157
12742
done2742

end0.0ms

sample703.0ms

Algorithm
intervals
Results
484.0ms8437×body80valid