Details

Time bar (total: 4.3s)

sample28.0ms

Algorithm
intervals
Results
14.0ms284×body80valid

simplify10.0ms

Counts
1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.7b
(/ x (/ (* z (- y t)) 2.0))

rewrite36.0ms

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:
20.0ms
(* z (- y t))
13.0ms
(/ x (/ (* z (- y t)) 2.0))

series93.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* z (- y t))
56.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify42.0ms

Counts
80 → 80

prune173.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/r*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×associate-/r/ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 208
Calls
2 calls:
15.0ms
(/ x (/ (- y t) 2.0))
62.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x (/ (- y t) 2.0))
55.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify94.0ms

Counts
214 → 214

prune489.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.3b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
711×times-frac
405×add-sqr-sqrt *-un-lft-identity
309×add-cube-cbrt
65×associate-/l*
48×distribute-lft-out-- difference-of-squares
22×associate-/r* div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 362
Calls
2 calls:
16.0ms
(/ x (/ (- y t) 2.0))
39.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series126.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ x (/ (- y t) 2.0))
87.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify63.0ms

Counts
368 → 368

prune932.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

4.8b
(/ (/ 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:
25.0ms
(/ (/ x z) (/ (- y t) 2.0))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify66.0ms

Counts
302 → 302

prune740.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

57.1% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 5.3b

bsearch82.0ms

Steps
ItersRangePoint
9
0.021902447110590684
15813.063300825055
3167.128584297215
9
-7.852755480555329e-96
-5.4681645431414027e-104
-6.694063912547288e-98

simplify1.0ms

end0.0ms

sample769.0ms

Algorithm
intervals
Results
394.0ms8717×body80valid