Details

Time bar (total: 12.0s)

sample16.0ms

Algorithm
intervals
Results
6.0ms271×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1107
2177
3217
done217

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize9.0ms

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

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ x (- y (* z t)))

simplify2.3s

Counts
34 → 34
Iterations

Useful iterations: 4 (808.0ms)

IterNodesCost
065394
1136385
2339357
3886356
42370355
done5000355

prune94.0ms

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))))

rewrite23.0ms

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:
4.0ms
(/ 1 (- y (* z t)))
16.0ms
(* x (/ 1 (- y (* z t))))

series86.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ 1 (- y (* z t)))
34.0ms
(* x (/ 1 (- y (* z t))))

simplify2.8s

Counts
81 → 81
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
0103919
1245803
2540689
31171687
43401686
done5000686

prune175.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.7b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:
10.0ms
(/ 1 (/ (- y (* z t)) x))
7.0ms
(/ (- y (* z t)) x)

series153.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(/ 1 (/ (- y (* z t)) x))
45.0ms
(/ (- y (* z t)) x)

simplify2.0s

Counts
116 → 116
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01671806
13801625
29201400
323471382
done50001380

prune215.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (* (- y (* z t)) (/ 1 x)))
2.8b
(* (- y (* z t)) (/ 1 x))

rewrite29.0ms

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:
12.0ms
(/ 1 (* (- y (* z t)) (/ 1 x)))
13.0ms
(* (- y (* z t)) (/ 1 x))

series153.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(/ 1 (* (- y (* z t)) (/ 1 x)))
43.0ms
(* (- y (* z t)) (/ 1 x))

simplify3.0s

Counts
94 → 94
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01431233
13691001
21077783
33437783
done5000782

prune159.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

regimes240.0ms

Accuracy

21.6% (2.2b remaining)

Error of 2.3b against oracle of 0.1b and baseline of 2.9b

bsearch25.0ms

Steps
ItersRangePoint
6
6.0332767417736225e+41
4.765004306563473e+42
8.178080079500126e+41

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01724
12224
done2224

end0.0ms

sample406.0ms

Algorithm
intervals
Results
200.0ms8383×body80valid