Details

Time bar (total: 6.0s)

sample48.0ms

Algorithm
intervals
Results
18.0ms347×body80valid

simplify43.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

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:
15.0ms
(+ x (/ (* y (- z t)) a))
35.0ms
(* y (- z t))
28.0ms
(/ (* y (- z t)) a)

series238.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ x (/ (* y (- z t)) a))
61.0ms
(* y (- z t))
87.0ms
(/ (* y (- z t)) a)

simplify26.0ms

Counts
70 → 70

prune229.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ a (* y (- z t)))))
0.0b
(* y (- z t))
0.6b
(/ 1 (/ a (* y (- z t))))
5.4b
(/ 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:
25.0ms
(+ x (/ 1 (/ a (* y (- z t)))))
28.0ms
(* y (- z t))
42.0ms
(/ 1 (/ a (* y (- z t))))
23.0ms
(/ a (* y (- z t)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ x (/ 1 (/ a (* y (- z t)))))
49.0ms
(* y (- z t))
57.0ms
(/ 1 (/ a (* y (- z t))))
64.0ms
(/ a (* y (- z t)))

simplify62.0ms

Counts
138 → 138

prune379.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ a y) (- z t))))
0.6b
(/ 1 (/ (/ a y) (- z t)))
9.0b
(/ (/ a y) (- z t))

rewrite182.0ms

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:
94.0ms
(+ x (/ 1 (/ (/ a y) (- z t))))
32.0ms
(/ 1 (/ (/ a y) (- z t)))
24.0ms
(/ (/ a y) (- z t))

series197.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ x (/ 1 (/ (/ a y) (- z t))))
81.0ms
(/ 1 (/ (/ a y) (- z t)))
59.0ms
(/ (/ a y) (- z t))

simplify74.0ms

Counts
434 → 434

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- z t) (/ a y)))
9.2b
(/ (- z t) (/ a y))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
66.0ms
(+ x (/ (- z t) (/ a y)))
50.0ms
(/ (- z t) (/ a y))

series112.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ x (/ (- z t) (/ a y)))
56.0ms
(/ (- z t) (/ a y))

simplify66.0ms

Counts
120 → 120

prune446.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes263.0ms

Accuracy

-0.6% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 2.7b

bsearch136.0ms

Steps
ItersRangePoint
9
2.5838434571231147e-129
2.272544549189477e-120
1.5612962250566523e-121
9
-14186765141.86066
-119.54622503529531
-255.05455303688356

simplify52.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
483.0ms10703×body80valid