Details

Time bar (total: 15.9s)

sample34.0ms

Algorithm
intervals
Results
14.0ms334×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3459
4889
51459
62019
73869
89199
931169
done50019

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
6.9b
(/ (* y (- z x)) t)

rewrite99.0ms

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:
23.0ms
(+ x (/ (* y (- z x)) t))
41.0ms
(* y (- z x))
32.0ms
(/ (* y (- z x)) t)

series173.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ x (/ (* y (- z x)) t))
42.0ms
(* y (- z x))
86.0ms
(/ (* y (- z x)) t)

simplify790.0ms

Counts
70 → 70
Iterations

Useful iterations: done (788.0ms)

IterNodesCost
0113722
1309679
21171613
done5001589

prune308.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
5.8b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
67.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series933.0ms

Counts
4 → 12
Calls
4 calls:
277.0ms
(cbrt t)
255.0ms
(cbrt t)
265.0ms
(cbrt t)
136.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify2.4s

Counts
116 → 116
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01611577
15171511
234511161
done50001080

prune638.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* y (- z x)) (/ 1 t)))
0.0b
(* y (- z x))
7.0b
(* (* y (- z x)) (/ 1 t))

rewrite105.0ms

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:
14.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
42.0ms
(* y (- z x))
42.0ms
(* (* y (- z x)) (/ 1 t))

series210.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
73.0ms
(* y (- z x))
70.0ms
(* (* y (- z x)) (/ 1 t))

simplify3.4s

Counts
88 → 88
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01511062
1439948
22530775
done5001765

prune350.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ t (* y (- z x)))))
0.0b
(* y (- z x))
0.4b
(/ 1 (/ t (* y (- z x))))
6.9b
(/ t (* y (- z x)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
31×*-un-lft-identity
30×add-sqr-sqrt
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv div-inv
6×flip3-- flip-- associate-/l* add-log-exp
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 126
Calls
4 calls:
31.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
36.0ms
(* y (- z x))
35.0ms
(/ 1 (/ t (* y (- z x))))
21.0ms
(/ t (* y (- z x)))

series279.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
73.0ms
(* y (- z x))
102.0ms
(/ 1 (/ t (* y (- z x))))
56.0ms
(/ t (* y (- z x)))

simplify1.3s

Counts
138 → 138
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01951749
14871558
222371372
done50001360

prune505.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes378.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11311
done1311

end0.0ms

sample1.3s

Algorithm
intervals
Results
562.0ms10684×body80valid