Details

Time bar (total: 14.6s)

sample25.0ms

Algorithm
intervals
Results
9.0ms266×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3659
41569
54079
613729
done50009

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.6b
(/ x (* (- y z) (- t z)))

rewrite84.0ms

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:
59.0ms
(* (- y z) (- t z))
21.0ms
(/ x (* (- y z) (- t z)))

series256.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (- y z) (- t z))
201.0ms
(/ x (* (- y z) (- t z)))

simplify1.4s

Counts
69 → 69
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0124860
1312844
21647762
done5000756

prune365.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

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:
11.0ms
(/ x (- t z))
12.0ms
(/ 1 (- y z))
83.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series404.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ x (- t z))
38.0ms
(/ 1 (- y z))
330.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify2.1s

Counts
159 → 159
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01981884
15651738
232381488
done50001478

prune681.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite91.0ms

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 (- t z))
58.0ms
(/ (/ x (- t z)) (- y z))

series203.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ x (- t z))
170.0ms
(/ (/ x (- t z)) (- y z))

simplify1.6s

Counts
191 → 191
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02643352
16523172
225043104
done50003100

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

1.6b
(/ (* (* (cbrt (/ x (- t z))) (cbrt (/ x (- t z)))) (cbrt (/ x (- t z)))) (- y z))
14.6b
(cbrt (/ x (- t z)))
14.6b
(cbrt (/ x (- t z)))
14.6b
(cbrt (/ x (- t z)))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
55×add-sqr-sqrt *-un-lft-identity
50×times-frac
33×add-cube-cbrt
15×cbrt-div
13×add-exp-log
11×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube
8×associate-/r/
7×associate-/l/
5×frac-times associate-*l/ associate-/r*
4×pow1 flip3-- flip-- div-inv add-log-exp
3×cbrt-undiv pow1/3 associate-*r/ div-exp prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l*
Counts
4 → 126
Calls
4 calls:
151.0ms
(/ (* (* (cbrt (/ x (- t z))) (cbrt (/ x (- t z)))) (cbrt (/ x (- t z)))) (- y z))
21.0ms
(cbrt (/ x (- t z)))
12.0ms
(cbrt (/ x (- t z)))
12.0ms
(cbrt (/ x (- t z)))

series948.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(/ (* (* (cbrt (/ x (- t z))) (cbrt (/ x (- t z)))) (cbrt (/ x (- t z)))) (- y z))
208.0ms
(cbrt (/ x (- t z)))
266.0ms
(cbrt (/ x (- t z)))
264.0ms
(cbrt (/ x (- t z)))

simplify966.0ms

Counts
138 → 138
Iterations

Useful iterations: done (957.0ms)

IterNodesCost
01822304
13822221
214041792
done50001688

prune881.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes357.0ms

Accuracy

22.2% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 3.1b

bsearch108.0ms

Steps
ItersRangePoint
7
1.3406612832756122e+135
9.141955624894537e+136
1.803066795734152e+136
7
-2.7975977839466e+206
-2.2460650716233667e+204
-2.4924552858041998e+206

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02047
12629
22729
done2729

end0.0ms

sample999.0ms

Algorithm
intervals
Results
440.0ms8424×body80valid