Details

Time bar (total: 16.1s)

sample25.0ms

Algorithm
intervals
Results
13.0ms279×body80valid

simplify136.0ms

Counts
1 → 1
Iterations
IterNodes
done203
8203
7201
6182
5156
4117
374
242
119
010

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
4.8b
(* (/ 2.0 (- y t)) (/ x z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
28×add-cube-cbrt
21×associate-*l*
16×add-cbrt-cube add-exp-log
13×associate-*r*
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv associate-/r* div-exp
4×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×div-inv associate-/l*
2×flip3-- insert-posit16 flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 97
Calls
2 calls:
8.0ms
(/ 2.0 (- y t))
25.0ms
(* (/ 2.0 (- y t)) (/ x z))

series201.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 2.0 (- y t))
146.0ms
(* (/ 2.0 (- y t)) (/ x z))

simplify1.3s

Counts
103 → 103
Iterations
IterNodes
done5000
21447
1455
0161

prune382.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity add-cbrt-cube add-exp-log
15×times-frac
13×associate-*r*
12×add-cube-cbrt
5×cbrt-undiv associate-/r* div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l*
2×associate-*r/ associate-/r/ insert-posit16 div-inv distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
1×clear-num frac-2neg flip3-- pow-prod-down *-commutative flip-- associate-/l* associate-/l/
Counts
2 → 64
Calls
2 calls:
13.0ms
(* 2.0 (/ x z))
23.0ms
(/ (* 2.0 (/ x z)) (- y t))

series100.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* 2.0 (/ x z))
74.0ms
(/ (* 2.0 (/ x z)) (- y t))

simplify2.3s

Counts
70 → 70
Iterations
IterNodes
done5000
34521
21045
1322
0125

prune282.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ (sqrt 2.0) (/ (- y t) (sqrt 2.0)))
0.5b
(/ (- y t) (sqrt 2.0))
4.8b
(* (/ (sqrt 2.0) (/ (- y t) (sqrt 2.0))) (/ x z))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
864×times-frac
614×add-sqr-sqrt
559×*-un-lft-identity
430×sqrt-prod
389×add-cube-cbrt
209×associate-*l*
85×distribute-lft-out-- difference-of-squares
40×associate-/r*
31×add-cbrt-cube add-exp-log
17×div-inv
14×unswap-sqr
13×cbrt-undiv div-exp associate-*r*
11×associate-/l*
6×prod-exp cbrt-unprod
5×pow1
3×insert-posit16 add-log-exp
2×clear-num frac-2neg associate-/r/ associate-/l/
1×frac-times flip3-- div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
3 → 578
Calls
3 calls:
18.0ms
(/ (sqrt 2.0) (/ (- y t) (sqrt 2.0)))
21.0ms
(/ (- y t) (sqrt 2.0))
47.0ms
(* (/ (sqrt 2.0) (/ (- y t) (sqrt 2.0))) (/ x z))

series837.0ms

Counts
3 → 9
Calls
3 calls:
200.0ms
(/ (sqrt 2.0) (/ (- y t) (sqrt 2.0)))
138.0ms
(/ (- y t) (sqrt 2.0))
499.0ms
(* (/ (sqrt 2.0) (/ (- y t) (sqrt 2.0))) (/ x z))

simplify3.2s

Counts
587 → 587
Iterations
IterNodes
done5003
24819
11534
0479

prune2.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 2.0 (/ (- y t) (/ x z)))
4.6b
(/ (- y t) (/ x z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
769×times-frac
457×add-sqr-sqrt *-un-lft-identity
325×add-cube-cbrt
83×associate-/r*
66×distribute-lft-out-- difference-of-squares
32×div-inv
16×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
8×associate-/l*
6×associate-/r/
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 403
Calls
2 calls:
15.0ms
(/ 2.0 (/ (- y t) (/ x z)))
14.0ms
(/ (- y t) (/ x z))

series205.0ms

Counts
2 → 6
Calls
2 calls:
156.0ms
(/ 2.0 (/ (- y t) (/ x z)))
49.0ms
(/ (- y t) (/ x z))

simplify1.5s

Counts
409 → 409
Iterations
IterNodes
done5000
11783
0600

prune1.9s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes304.0ms

Accuracy

54.7% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 5.6b

bsearch30.0ms

Steps
ItersRangePoint
5
1.5066825889000847e-130
4.811890190137364e-130
2.662792445968159e-130
2
-7.344254372485954e+63
-6.369596787908093e+63
-6.4437892270302555e+63

simplify3.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample831.0ms

Algorithm
intervals
Results
587.0ms8769×body80valid