Details

Time bar (total: 1.5m)

sample28.0ms

Algorithm
intervals
Results
11.0ms273×body80valid

simplify193.0ms

Counts
1 → 1

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.5b
(/ x (/ (* z (- y t)) 2.0))

rewrite73.0ms

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
associate-/r*
cbrt-undiv div-exp associate-*r* div-inv
pow1
associate-*l* associate-/l*
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ prod-exp cbrt-unprod add-log-exp
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:
34.0ms
(* z (- y t))
35.0ms
(/ x (/ (* z (- y t)) 2.0))

series123.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* z (- y t))
75.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify606.0ms

Counts
80 → 80

prune168.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
5.5b
(* x (/ (/ 2.0 (- y t)) z))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac
180×add-sqr-sqrt
171×*-un-lft-identity
121×add-cube-cbrt
67×associate-*r*
25×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
16×associate-/r/
10×div-inv
flip3-- associate-/r* flip--
cbrt-undiv div-exp
pow1
associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
frac-2neg clear-num
associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 228
Calls
3 calls:
15.0ms
(/ 2.0 (- y t))
45.0ms
(/ (/ 2.0 (- y t)) z)
78.0ms
(* x (/ (/ 2.0 (- y t)) z))

series219.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ 2.0 (- y t))
78.0ms
(/ (/ 2.0 (- y t)) z)
87.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify1.1s

Counts
237 → 237

prune657.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.3b
(/ (/ x z) (/ (- y t) 2.0))

rewrite52.0ms

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*
cbrt-undiv div-exp
pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
Counts
1 → 299
Calls
1 calls:
24.0ms
(/ (/ x z) (/ (- y t) 2.0))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify724.0ms

Counts
302 → 302

prune889.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
2.2b
(* (cbrt x) (/ (/ 2.0 (- y t)) z))
3.3b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (/ 2.0 (- y t)) z)))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
93×add-sqr-sqrt
75×*-un-lft-identity
68×associate-*r*
57×add-cube-cbrt
45×add-exp-log
28×add-cbrt-cube
21×prod-exp cbrt-unprod
18×pow1
12×cbrt-prod
cbrt-undiv div-exp pow-prod-down distribute-lft-out-- difference-of-squares
associate-*l*
associate-/r/ unswap-sqr
div-inv add-log-exp
flip3-- associate-*r/ flip--
pow1/3 *-commutative
Counts
4 → 148
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
69.0ms
(* (cbrt x) (/ (/ 2.0 (- y t)) z))
96.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (/ 2.0 (- y t)) z)))

series916.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(cbrt x)
248.0ms
(cbrt x)
296.0ms
(* (cbrt x) (/ (/ 2.0 (- y t)) z))
137.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (/ 2.0 (- y t)) z)))

simplify1.1s

Counts
160 → 160

prune424.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes195.0ms

Accuracy

1.5% (5.5b remaining)

Error of 5.6b against oracle of 0.0b and baseline of 5.7b

bsearch48.0ms

Steps
ItersRangePoint
7
3.1426780478599295e-118
2.5428149864788693e-116
1.3634763454561944e-116
2
-7.788267059150153e+96
-6.828632073403998e+96
-6.948586446622268e+96

simplify1.3m

end0.0ms

sample1.4s

Algorithm
intervals
Results
513.0ms8714×body80valid