Details

Time bar (total: 14.2s)

sample32.0ms

Algorithm
intervals
Results
11.0ms334×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2269
3469
4899
51489
61899
72589
84079
97619
1023289
done50019

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.6b
(/ (* y (- z t)) a)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
13.0ms
(+ x (/ (* y (- z t)) a))
43.0ms
(* y (- z t))
31.0ms
(/ (* y (- z t)) a)

series195.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ x (/ (* y (- z t)) a))
45.0ms
(* y (- z t))
75.0ms
(/ (* y (- z t)) a)

simplify754.0ms

Counts
70 → 70
Iterations

Useful iterations: done (752.0ms)

IterNodesCost
0116722
1316679
21188613
done5000589

prune306.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* y (- z t)) (/ 1 a)))
0.0b
(* y (- z t))
6.6b
(* (* y (- z t)) (/ 1 a))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative
1×+-commutative flip3-+ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 79
Calls
3 calls:
15.0ms
(+ x (* (* y (- z t)) (/ 1 a)))
34.0ms
(* y (- z t))
43.0ms
(* (* y (- z t)) (/ 1 a))

series170.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ x (* (* y (- z t)) (/ 1 a)))
42.0ms
(* y (- z t))
61.0ms
(* (* y (- z t)) (/ 1 a))

simplify3.3s

Counts
88 → 88
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01541062
1446948
22542775
done5001765

prune460.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ a (- z t))
0.0b
(+ x (/ y (/ a (- z t))))
6.2b
(/ y (/ a (- z t)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
23.0ms
(/ a (- z t))
54.0ms
(+ x (/ y (/ a (- z t))))
34.0ms
(/ y (/ a (- z t)))

series222.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ a (- z t))
92.0ms
(+ x (/ y (/ a (- z t))))
75.0ms
(/ y (/ a (- z t)))

simplify1.3s

Counts
160 → 160
Iterations

Useful iterations: 2 (445.0ms)

IterNodesCost
02452291
16292158
229012056
done50002056

prune939.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) a)))
0.0b
(/ (- z t) a)
6.6b
(* y (/ (- z t) a))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
6.0ms
(+ x (* y (/ (- z t) a)))
15.0ms
(/ (- z t) a)
57.0ms
(* y (/ (- z t) a))

series177.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(+ x (* y (/ (- z t) a)))
31.0ms
(/ (- z t) a)
69.0ms
(* y (/ (- z t) a))

simplify892.0ms

Counts
96 → 96
Iterations

Useful iterations: 2 (231.0ms)

IterNodesCost
01391051
1365988
21504914
done5000914

prune469.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes920.0ms

Accuracy

90.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 5.7b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01843
12535
done2535

end0.0ms

sample1.6s

Algorithm
intervals
Results
670.0ms10599×body80valid