Details

Time bar (total: 8.9s)

sample46.0ms

Algorithm
intervals
Results
19.0ms282×body80valid

simplify166.0ms

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.6b
(/ x (/ (* z (- y t)) 2.0))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
24×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ prod-exp cbrt-unprod add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 74
Calls
2 calls:
31.0ms
(* z (- y t))
13.0ms
(/ x (/ (* z (- y t)) 2.0))

series116.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* z (- y t))
65.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify632.0ms

Counts
80 → 80

prune216.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.4b
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
4.4b
(/ (/ (* z (- y t)) 2.0) x)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
228×times-frac
107×add-sqr-sqrt
105×*-un-lft-identity
103×add-cube-cbrt
48×add-exp-log
28×div-exp associate-/r* add-cbrt-cube
22×div-inv
14×cbrt-undiv
10×associate-/l*
6×pow1
5×associate-*r* prod-exp
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in associate-*r/ clear-num
1×flip3-- pow-flip pow-prod-down associate-/r/ *-commutative flip-- associate-/l/ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 206
Calls
3 calls:
21.0ms
(* z (- y t))
33.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
17.0ms
(/ (/ (* z (- y t)) 2.0) x)

series251.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* z (- y t))
113.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
100.0ms
(/ (/ (* z (- y t)) 2.0) x)

simplify1.5s

Counts
215 → 215

prune408.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.8b
(/ 1 (* z (- y t)))
4.7b
(* (/ 1 (* z (- y t))) (* x 2.0))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
13×pow1 add-sqr-sqrt cbrt-unprod
12×div-exp associate-*l*
11×*-un-lft-identity
9×add-cube-cbrt
6×cbrt-undiv rec-exp times-frac 1-exp associate-*r/ associate-*r*
5×pow-prod-down
4×associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in *-commutative div-inv
1×frac-2neg associate-*l/ clear-num associate-/r* distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
34.0ms
(* z (- y t))
30.0ms
(/ 1 (* z (- y t)))
76.0ms
(* (/ 1 (* z (- y t))) (* x 2.0))

series202.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* z (- y t))
41.0ms
(/ 1 (* z (- y t)))
118.0ms
(* (/ 1 (* z (- y t))) (* x 2.0))

simplify786.0ms

Counts
106 → 106

prune194.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

4.9b
(/ (/ x z) (/ (- y t) 2.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
637×times-frac
351×add-sqr-sqrt *-un-lft-identity
267×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
35×div-inv
19×associate-/r*
13×add-exp-log add-cbrt-cube associate-/l*
8×cbrt-undiv div-exp
1×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
Counts
1 → 299
Calls
1 calls:
31.0ms
(/ (/ x z) (/ (- y t) 2.0))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify673.0ms

Counts
302 → 302

prune716.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes262.0ms

Accuracy

58.6% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 5.8b

bsearch1.0ms

simplify1.1s

end0.0ms

sample1.2s

Algorithm
intervals
Results
726.0ms8752×body80valid