Details

Time bar (total: 12.5s)

sample21.0ms

Algorithm
intervals
Results
11.0ms279×body80valid

simplify146.0ms

Counts
1 → 1
Iterations
IterNodes
done241
8241
7230
6201
5169
4123
380
244
120
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:

0.5b
(/ 2.0 (/ z x))
4.7b
(/ (/ 2.0 (/ z x)) (- y t))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
691×times-frac
389×add-sqr-sqrt *-un-lft-identity
299×add-cube-cbrt
47×associate-/l*
45×distribute-lft-out-- difference-of-squares
30×div-inv
18×associate-/r*
16×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp associate-/r/
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 364
Calls
2 calls:
7.0ms
(/ 2.0 (/ z x))
21.0ms
(/ (/ 2.0 (/ z x)) (- y t))

series75.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ 2.0 (/ z x))
57.0ms
(/ (/ 2.0 (/ z x)) (- y t))

simplify1.9s

Counts
370 → 370
Iterations
IterNodes
done5005
24290
11502
0570

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 2.0 (* (- y t) (/ z x)))
4.2b
(* (- y t) (/ z x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
14×*-un-lft-identity
13×times-frac associate-*r*
12×add-cube-cbrt
5×cbrt-undiv div-exp associate-*l* associate-/r/
4×frac-times pow1 flip3-- associate-*l/ prod-exp cbrt-unprod flip--
3×associate-/l*
2×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 72
Calls
2 calls:
11.0ms
(/ 2.0 (* (- y t) (/ z x)))
24.0ms
(* (- y t) (/ z x))

series213.0ms

Counts
2 → 6
Calls
2 calls:
165.0ms
(/ 2.0 (* (- y t) (/ z x)))
47.0ms
(* (- y t) (/ z x))

simplify1.2s

Counts
78 → 78
Iterations
IterNodes
done5002
21219
1355
0142

prune354.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
384×add-sqr-sqrt *-un-lft-identity
292×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
24×associate-/l*
18×associate-/r*
16×add-cbrt-cube add-exp-log
15×flip3-- flip--
9×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 370
Calls
2 calls:
15.0ms
(/ 2.0 (- y t))
15.0ms
(/ (/ 2.0 (- y t)) (/ z x))

series194.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ 2.0 (- y t))
144.0ms
(/ (/ 2.0 (- y t)) (/ z x))

simplify1.5s

Counts
376 → 376
Iterations
IterNodes
done5000
11893
0600

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y t) z)
0.5b
(/ 2.0 (* (* (- y t) z) (/ 1 x)))
6.5b
(* (* (- y t) z) (/ 1 x))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
35×add-cbrt-cube
25×prod-exp
18×add-sqr-sqrt
17×div-exp
16×*-un-lft-identity associate-*r*
14×associate-*l/ add-cube-cbrt
13×cbrt-unprod
12×times-frac
10×pow1
9×cbrt-undiv
6×associate-*l* associate-/r/
5×flip3-- flip--
4×frac-times rec-exp 1-exp pow-prod-down
3×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×associate-*r/ un-div-inv *-commutative div-inv
1×clear-num associate-/r* frac-2neg distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 110
Calls
3 calls:
17.0ms
(* (- y t) z)
34.0ms
(/ 2.0 (* (* (- y t) z) (/ 1 x)))
36.0ms
(* (* (- y t) z) (/ 1 x))

series244.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* (- y t) z)
143.0ms
(/ 2.0 (* (* (- y t) z) (/ 1 x)))
52.0ms
(* (* (- y t) z) (/ 1 x))

simplify1.6s

Counts
119 → 119
Iterations
IterNodes
done5004
21643
1489
0184

prune380.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes465.0ms

Accuracy

94.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.3b

bsearch2.0ms

simplify10.0ms

Iterations
IterNodes
done38
138
031

end0.0ms

sample812.0ms

Algorithm
intervals
Results
582.0ms8769×body80valid