Details

Time bar (total: 10.0s)

sample40.0ms

Algorithm
intervals
Results
15.0ms273×body80valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
3217
done217

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.5b
(/ x (- y (* z t)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×fma-neg prod-diff associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
11.0ms
(- y (* z t))
16.0ms
(/ x (- y (* z t)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- y (* z t))
69.0ms
(/ x (- y (* z t)))

simplify1.7s

Counts
57 → 57
Iterations

Useful iterations: done (1.7s)

IterNodesCost
087595
1186580
2572529
32389525
done5001506

prune229.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.1b
(/ 1 (- y (* z t)))
2.7b
(* x (/ 1 (- y (* z t))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u flip3-- fma-neg associate-*l* prod-diff associate-/r* flip-- log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 95
Calls
3 calls:
6.0ms
(- y (* z t))
17.0ms
(/ 1 (- y (* z t)))
27.0ms
(* x (/ 1 (- y (* z t))))

series166.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- y (* z t))
82.0ms
(/ 1 (- y (* z t)))
48.0ms
(* x (/ 1 (- y (* z t))))

simplify972.0ms

Counts
104 → 104
Iterations

Useful iterations: done (968.0ms)

IterNodesCost
01251120
13091011
21260866
done5000862

prune415.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* t z))
0.9b
(/ 1 (/ (- y (* t z)) x))
2.4b
(/ (- y (* t z)) x)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-neg prod-diff log1p-expm1-u
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 130
Calls
3 calls:
7.0ms
(- y (* t z))
15.0ms
(/ 1 (/ (- y (* t z)) x))
16.0ms
(/ (- y (* t z)) x)

series326.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- y (* t z))
189.0ms
(/ 1 (/ (- y (* t z)) x))
87.0ms
(/ (- y (* t z)) x)

simplify1.7s

Counts
139 → 139
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01872007
14761776
224261682
done50001555

prune458.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* t z))
0.1b
(/ 1 (- y (* t z)))
2.7b
(/ (/ 1 (- y (* t z))) (/ 1 x))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
223×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×add-exp-log
34×div-exp
32×div-inv
31×associate-/r/
18×associate-/l*
17×add-cbrt-cube
16×flip3-- associate-/r* flip--
9×cbrt-undiv rec-exp 1-exp
5×add-log-exp
4×pow1
3×expm1-log1p-u fma-neg prod-diff log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 312
Calls
3 calls:
9.0ms
(- y (* t z))
16.0ms
(/ 1 (- y (* t z)))
45.0ms
(/ (/ 1 (- y (* t z))) (/ 1 x))

series304.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- y (* t z))
87.0ms
(/ 1 (- y (* t z)))
156.0ms
(/ (/ 1 (- y (* t z))) (/ 1 x))

simplify979.0ms

Counts
321 → 321
Iterations

Useful iterations: done (963.0ms)

IterNodesCost
04697304
115785933
done50015358

prune956.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes368.0ms

Accuracy

38.8% (1.7b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 2.9b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01624
11924
done1924

end0.0ms

sample938.0ms

Algorithm
intervals
Results
391.0ms8420×body80valid