Details

Time bar (total: 9.4s)

sample16.0ms

Algorithm
intervals
Results
6.0ms271×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1107
2177
done177

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize5.0ms

Local error

Found 1 expressions with local error:

2.7b
(/ x (- y (* z t)))

rewrite5.0ms

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:
4.0ms
(/ x (- y (* z t)))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ x (- y (* z t)))

simplify1.8s

Counts
32 → 32
Iterations

Useful iterations: 4 (680.0ms)

IterNodesCost
063378
1133369
2333341
3862341
42248340
done5000340

prune73.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- y (* z t)))
2.7b
(* x (/ 1 (- y (* z t))))

rewrite20.0ms

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:
5.0ms
(/ 1 (- y (* z t)))
13.0ms
(* x (/ 1 (- y (* z t))))

series76.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1 (- y (* z t)))
35.0ms
(* x (/ 1 (- y (* z t))))

simplify2.2s

Counts
77 → 77
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
099883
1240743
2487657
31061657
43184656
done5000656

prune134.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (/ (- y (* z t)) x))
2.7b
(/ (- y (* z t)) x)

rewrite17.0ms

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:
7.0ms
(/ 1 (/ (- y (* z t)) x))
6.0ms
(/ (- y (* z t)) x)

series147.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(/ 1 (/ (- y (* z t)) x))
46.0ms
(/ (- y (* z t)) x)

simplify1.4s

Counts
112 → 112
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01631770
13741546
27831371
319331353
done50011351

prune170.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ -1 (/ (- (* t z) y) x))
2.7b
(/ (- (* t z) y) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 100
Calls
2 calls:
8.0ms
(/ -1 (/ (- (* t z) y) x))
8.0ms
(/ (- (* t z) y) x)

series96.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ -1 (/ (- (* t z) y) x))
52.0ms
(/ (- (* t z) y) x)

simplify2.3s

Counts
106 → 106
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01721728
13951635
211911532
344191516
done50001514

prune242.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.6b

regimes213.0ms

Accuracy

0% (0.1b remaining)

Error of 2.8b against oracle of 2.7b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample417.0ms

Algorithm
intervals
Results
207.0ms8383×body80valid