Details

Time bar (total: 10.0s)

sample27.0ms

Algorithm
intervals
Results
9.0ms272×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
3217
done217

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize6.0ms

Local error

Found 1 expressions with local error:

2.9b
(/ x (- y (* z t)))

rewrite10.0ms

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 expm1-log1p-u flip3-- frac-2neg div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
9.0ms
(/ x (- y (* z t)))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ x (- y (* z t)))

simplify2.3s

Counts
34 → 34
Iterations

Useful iterations: 4 (803.0ms)

IterNodesCost
065394
1136385
2339357
3867356
42335355
done5001355

prune90.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- y (* z t)))
2.7b
(* x (/ 1 (- y (* z t))))

rewrite42.0ms

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 expm1-log1p-u rec-exp flip3-- 1-exp flip-- cbrt-unprod log1p-expm1-u 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 → 75
Calls
2 calls:
10.0ms
(/ 1 (- y (* z t)))
28.0ms
(* x (/ 1 (- y (* z t))))

series100.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ 1 (- y (* z t)))
43.0ms
(* x (/ 1 (- y (* z t))))

simplify2.1s

Counts
81 → 81
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
0103919
1238775
2500689
31159687
43147686
done5000686

prune142.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ (- y (* z t)) x))
2.9b
(/ (- y (* z t)) x)

rewrite31.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub associate-/r/ flip-- inv-pow
Counts
2 → 110
Calls
2 calls:
13.0ms
(/ 1 (/ (- y (* z t)) x))
14.0ms
(/ (- y (* z t)) x)

series157.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(/ 1 (/ (- y (* z t)) x))
49.0ms
(/ (- y (* z t)) x)

simplify1.5s

Counts
116 → 116
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01671806
13661581
27931400
321211382
done50001380

prune202.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (* (- y (* z t)) (/ 1 x)))
3.0b
(* (- y (* z t)) (/ 1 x))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
19×add-sqr-sqrt
18×div-exp
16×prod-exp add-cbrt-cube
14×times-frac
13×*-un-lft-identity associate-*r*
12×add-cube-cbrt
9×rec-exp 1-exp
7×pow1
6×associate-/r/
5×cbrt-undiv
4×frac-times flip3-- associate-*l/ flip-- cbrt-unprod
3×associate-*l* associate-/l* unswap-sqr
2×expm1-log1p-u pow-flip associate-*r/ pow-prod-down un-div-inv log1p-expm1-u div-inv add-log-exp
1×frac-2neg clear-num associate-/r* *-commutative inv-pow
Counts
2 → 88
Calls
2 calls:
28.0ms
(/ 1 (* (- y (* z t)) (/ 1 x)))
25.0ms
(* (- y (* z t)) (/ 1 x))

series160.0ms

Counts
2 → 6
Calls
2 calls:
113.0ms
(/ 1 (* (- y (* z t)) (/ 1 x)))
46.0ms
(* (- y (* z t)) (/ 1 x))

simplify2.1s

Counts
94 → 94
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01431233
1339971
2940783
33382783
done5002782

prune165.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

75.6% (0.6b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.7b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01941
12631
done2631

end0.0ms

sample473.0ms

Algorithm
intervals
Results
177.0ms8397×body80valid