Details

Time bar (total: 8.4s)

sample24.0ms

Algorithm
intervals
Results
10.0ms347×body80valid

simplify45.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
9.3b
(/ (- (* x y) (* z t)) a)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
7.0ms
(/ (- (* x y) (* z t)) a)

series98.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* x y) (* z t))
55.0ms
(/ (- (* x y) (* z t)) a)

simplify1.0s

Counts
54 → 54
Iterations

Useful iterations: done (1.0s)

IterNodesCost
088706
1216679
2680628
32460628
done5000626

prune180.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x y (- (* t z)))
9.3b
(/ (fma x y (- (* t z))) a)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma x y (- (* t z)))
2.0ms
(/ (fma x y (- (* t z))) a)

series106.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(fma x y (- (* t z)))
60.0ms
(/ (fma x y (- (* t z))) a)

simplify2.4s

Counts
45 → 45
Iterations

Useful iterations: 4 (935.0ms)

IterNodesCost
066574
1110565
2272513
31006513
44429512
done5001512

prune151.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (/ y a)) (/ (* z t) a))
5.8b
(* x (/ y a))
8.1b
(/ (* z t) a)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* add-cbrt-cube
7×prod-diff
5×pow1 add-log-exp
3×cbrt-undiv expm1-log1p-u associate-*r/ div-exp associate-*l* prod-exp associate-/r* cbrt-unprod log1p-expm1-u div-inv
2×unswap-sqr
1×sub-neg flip3-- frac-2neg fma-neg diff-log pow-prod-down clear-num *-commutative frac-sub flip-- associate-/l* sub-div
Counts
3 → 81
Calls
3 calls:
7.0ms
(- (* x (/ y a)) (/ (* z t) a))
7.0ms
(* x (/ y a))
3.0ms
(/ (* z t) a)

series110.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(- (* x (/ y a)) (/ (* z t) a))
20.0ms
(* x (/ y a))
19.0ms
(/ (* z t) a)

simplify625.0ms

Counts
90 → 90
Iterations

Useful iterations: 2 (158.0ms)

IterNodesCost
01751074
1437946
21622837
done5000837

prune240.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (/ y a)) (/ z (/ a t)))
3.8b
(/ z (/ a t))
5.8b
(* x (/ y a))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
151×times-frac
93×add-sqr-sqrt
88×add-cube-cbrt *-un-lft-identity
44×prod-diff
13×add-exp-log associate-*r* associate-/r* add-cbrt-cube
10×div-inv
5×pow1 add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l*
2×associate-*r/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×sub-neg flip3-- frac-2neg fma-neg diff-log pow-prod-down clear-num *-commutative frac-sub flip--
Counts
3 → 166
Calls
3 calls:
17.0ms
(- (* x (/ y a)) (/ z (/ a t)))
5.0ms
(/ z (/ a t))
10.0ms
(* x (/ y a))

series111.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- (* x (/ y a)) (/ z (/ a t)))
20.0ms
(/ z (/ a t))
20.0ms
(* x (/ y a))

simplify1.7s

Counts
175 → 175
Iterations

Useful iterations: 2 (768.0ms)

IterNodesCost
04553936
112083592
245792908
done50002908

prune465.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes459.0ms

Accuracy

82.4% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 5.2b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: done (7.0ms)

IterNodesCost
03391
14481
24973
35273
done5272

end0.0ms

sample659.0ms

Algorithm
intervals
Results
319.0ms11156×body80valid