Details

Time bar (total: 6.4s)

sample29.0ms

Algorithm
intervals
Results
11.0ms265×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
done177

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize17.0ms

Local error

Found 1 expressions with local error:

2.0b
(/ x (- y (* z t)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
14.0ms
(/ x (- y (* z t)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ x (- y (* z t)))

simplify764.0ms

Counts
32 → 32
Iterations

Useful iterations: 3 (246.0ms)

IterNodesCost
063378
1138369
2414343
31457341
done5001341

prune97.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- y (* z t)))
1.9b
(* x (/ 1 (- y (* z t))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 71
Calls
2 calls:
23.0ms
(/ 1 (- y (* z t)))
40.0ms
(* x (/ 1 (- y (* z t))))

series127.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ 1 (- y (* z t)))
58.0ms
(* x (/ 1 (- y (* z t))))

simplify659.0ms

Counts
77 → 77
Iterations

Useful iterations: 2 (168.0ms)

IterNodesCost
099883
1258786
21109663
done5000663

prune208.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ (- y (* t z)) x))
2.0b
(/ (- y (* t z)) x)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub associate-/r/ flip-- inv-pow
Counts
2 → 106
Calls
2 calls:
26.0ms
(/ 1 (/ (- y (* t z)) x))
16.0ms
(/ (- y (* t z)) x)

series181.0ms

Counts
2 → 6
Calls
2 calls:
125.0ms
(/ 1 (/ (- y (* t z)) x))
57.0ms
(/ (- y (* t z)) x)

simplify957.0ms

Counts
112 → 112
Iterations

Useful iterations: done (953.0ms)

IterNodesCost
01611770
14181546
222291476
done50011353

prune231.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- y (* t z)))
2.0b
(/ (/ 1 (- y (* t z))) (/ 1 x))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
220×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×add-exp-log
34×div-exp
32×div-inv
31×associate-/r/
18×associate-/l*
16×associate-/r* add-cbrt-cube
15×flip3-- flip--
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 288
Calls
2 calls:
10.0ms
(/ 1 (- y (* t z)))
32.0ms
(/ (/ 1 (- y (* t z))) (/ 1 x))

series176.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 1 (- y (* t z)))
121.0ms
(/ (/ 1 (- y (* t z))) (/ 1 x))

simplify840.0ms

Counts
294 → 294
Iterations

Useful iterations: done (825.0ms)

IterNodesCost
04487063
116095621
done50015205

prune444.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes343.0ms

Accuracy

10.3% (2.5b remaining)

Error of 2.6b against oracle of 0.1b and baseline of 2.9b

bsearch117.0ms

Steps
ItersRangePoint
9
3.96949067877948e+237
1.1094372424519175e+246
3.2531272347328103e+245
10
5.467748683075901e+139
1.8449387490349621e+151
3.5004140533225666e+149

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01933
12627
done2627

end0.0ms

sample892.0ms

Algorithm
intervals
Results
423.0ms8341×body80valid