Details

Time bar (total: 5.8s)

sample42.0ms

Algorithm
intervals
Results
16.0ms329×body80valid

simplify149.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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:
10.0ms
(+ x (/ (* y (- z x)) t))
29.0ms
(* y (- z x))
17.0ms
(/ (* y (- z x)) t)

series136.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ x (/ (* y (- z x)) t))
42.0ms
(* y (- z x))
52.0ms
(/ (* y (- z x)) t)

simplify28.0ms

Counts
70 → 70

prune143.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ t (* y (- z x)))))
0.0b
(* y (- z x))
0.5b
(/ 1 (/ t (* y (- z x))))
5.0b
(/ t (* y (- z x)))

rewrite104.0ms

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:
30.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
24.0ms
(* y (- z x))
30.0ms
(/ 1 (/ t (* y (- z x))))
13.0ms
(/ t (* y (- z x)))

series272.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
61.0ms
(* y (- z x))
81.0ms
(/ 1 (/ t (* y (- z x))))
72.0ms
(/ t (* y (- z x)))

simplify61.0ms

Counts
138 → 138

prune516.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t y) (- z x))))
0.5b
(/ 1 (/ (/ t y) (- z x)))
6.9b
(/ (/ t y) (- z x))

rewrite263.0ms

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:
124.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
58.0ms
(/ 1 (/ (/ t y) (- z x)))
35.0ms
(/ (/ t y) (- z x))

series162.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
66.0ms
(/ 1 (/ (/ t y) (- z x)))
49.0ms
(/ (/ t y) (- z x))

simplify92.0ms

Counts
434 → 434

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- z x) (/ t y)))
6.9b
(/ (- z x) (/ t y))

rewrite77.0ms

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:
44.0ms
(+ x (/ (- z x) (/ t y)))
27.0ms
(/ (- z x) (/ t y))

series112.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ x (/ (- z x) (/ t y)))
62.0ms
(/ (- z x) (/ t y))

simplify58.0ms

Counts
120 → 120

prune408.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes202.0ms

Accuracy

-209.3% (6.0b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 1.9b

bsearch2.0ms

simplify35.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
543.0ms10718×body80valid