Details

Time bar (total: 8.7s)

sample24.0ms

Algorithm
intervals
Results
8.0ms328×body80valid

simplify483.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2269
3469
4859
51149
61299
71429
81759
92329
102619
112989
123299
133399
done3399

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
22.0ms
(* y (- z t))
15.0ms
(/ (* y (- z t)) a)

series87.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* y (- z t))
49.0ms
(/ (* y (- z t)) a)

simplify1.6s

Counts
55 → 55
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
094493
1231473
2711399
33396399
done5001399

prune120.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
6.6b
(/ y (/ a (- z t)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
11.0ms
(/ a (- z t))
17.0ms
(/ y (/ a (- z t)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ a (- z t))
60.0ms
(/ y (/ a (- z t)))

simplify967.0ms

Counts
145 → 145
Iterations

Useful iterations: done (962.0ms)

IterNodesCost
02232062
14681930
216151854
done50001836

prune351.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

5.5b
(* (/ y a) (- z t))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
31.0ms
(* (/ y a) (- z t))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* (/ y a) (- z t))

simplify1.5s

Counts
45 → 45
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
099475
1253466
2802410
32730410
done5002410

prune95.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- z t))
5.6b
(/ (/ y a) (/ 1 (- z t)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
384×add-sqr-sqrt *-un-lft-identity
292×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
28×add-exp-log
26×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-- flip--
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 372
Calls
2 calls:
11.0ms
(/ 1 (- z t))
29.0ms
(/ (/ y a) (/ 1 (- z t)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ 1 (- z t))
63.0ms
(/ (/ y a) (/ 1 (- z t)))

simplify1.4s

Counts
378 → 378
Iterations

Useful iterations: 2 (757.0ms)

IterNodesCost
05718043
115686395
237855901
done50015901

prune497.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes310.0ms

Accuracy

45.2% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.4b

bsearch84.0ms

Steps
ItersRangePoint
10
8.628895881187182e+77
5.063891143071969e+88
8.709696976931574e+77
10
-9.254859069709286e-131
-4.6783736610912825e-142
-9.089319465526927e-131

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02135
12635
done2635

end0.0ms

sample699.0ms

Algorithm
intervals
Results
277.0ms10537×body80valid