Details

Time bar (total: 14.1s)

sample36.0ms

Algorithm
intervals
Results
13.0ms345×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2269
3469
4899
51489
61899
72589
84079
97619
1023289
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
4.9b
(/ (* y (- z t)) a)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
32.0ms
(* y (- z t))
11.0ms
(+ x (/ (* y (- z t)) a))
29.0ms
(/ (* y (- z t)) a)

series220.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(* y (- z t))
86.0ms
(+ x (/ (* y (- z t)) a))
74.0ms
(/ (* y (- z t)) a)

simplify831.0ms

Counts
70 → 70
Iterations

Useful iterations: done (829.0ms)

IterNodesCost
0116722
1316679
21189613
done5001589

prune219.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (* (* y (- z t)) (/ 1 a)))
5.0b
(* (* y (- z t)) (/ 1 a))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative
1×+-commutative flip3-+ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 79
Calls
3 calls:
23.0ms
(* y (- z t))
8.0ms
(+ x (* (* y (- z t)) (/ 1 a)))
50.0ms
(* (* y (- z t)) (/ 1 a))

series160.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* y (- z t))
57.0ms
(+ x (* (* y (- z t)) (/ 1 a)))
57.0ms
(* (* y (- z t)) (/ 1 a))

simplify3.0s

Counts
88 → 88
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01541062
1446948
22548775
done5002741

prune250.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ 1 (/ a (* y (- z t)))))
0.4b
(/ 1 (/ a (* y (- z t))))
4.9b
(/ a (* y (- z t)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
31×*-un-lft-identity
30×add-sqr-sqrt
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv div-inv
6×flip3-- flip-- associate-/l* add-log-exp
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 126
Calls
4 calls:
36.0ms
(* y (- z t))
32.0ms
(+ x (/ 1 (/ a (* y (- z t)))))
35.0ms
(/ 1 (/ a (* y (- z t))))
14.0ms
(/ a (* y (- z t)))

series612.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* y (- z t))
64.0ms
(+ x (/ 1 (/ a (* y (- z t)))))
70.0ms
(/ 1 (/ a (* y (- z t))))
417.0ms
(/ a (* y (- z t)))

simplify1.3s

Counts
138 → 138
Iterations

Useful iterations: 2 (366.0ms)

IterNodesCost
01981749
14941558
222021430
done50011430

prune371.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ a y) (- z t))))
0.4b
(/ 1 (/ (/ a y) (- z t)))
5.4b
(/ (/ a y) (- z t))

rewrite292.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
163.0ms
(+ x (/ 1 (/ (/ a y) (- z t))))
48.0ms
(/ 1 (/ (/ a y) (- z t)))
40.0ms
(/ (/ a y) (- z t))

series210.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ x (/ 1 (/ (/ a y) (- z t))))
73.0ms
(/ 1 (/ (/ a y) (- z t)))
61.0ms
(/ (/ a y) (- z t))

simplify1.3s

Counts
434 → 434
Iterations

Useful iterations: done (1.3s)

IterNodesCost
05788555
116697415
done50017093

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes380.0ms

Accuracy

74.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.2b

bsearch86.0ms

Steps
ItersRangePoint
4
1.8347140769091727e-07
2.7639450530747565e-07
2.1350755608706798e-07
8
-1.6875200930468736e+17
-27093468711029.152
-139497726155533.08

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02139
12831
done2831

end0.0ms

sample1.5s

Algorithm
intervals
Results
659.0ms10760×body80valid