Details

Time bar (total: 15.3s)

sample48.0ms

Algorithm
intervals
Results
17.0ms334×body80valid

simplify804.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2329
3699
41629
53759
613749
done50019

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize19.0ms

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)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-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×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
13.0ms
(- x (/ (* y (- z t)) a))
34.0ms
(* y (- z t))
26.0ms
(/ (* y (- z t)) a)

series195.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- x (/ (* y (- z t)) a))
53.0ms
(* y (- z t))
74.0ms
(/ (* y (- z t)) a)

simplify777.0ms

Counts
72 → 72
Iterations

Useful iterations: done (775.0ms)

IterNodesCost
0120760
1311717
21161651
done5000633

prune302.0ms

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))

rewrite94.0ms

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×flip3-- div-exp associate-*l* pow-prod-down flip--
3×sub-neg
2×cbrt-undiv distribute-rgt-in frac-times rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative
1×diff-log un-div-inv div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 80
Calls
3 calls:
5.0ms
(- x (* (* y (- z t)) (/ 1 a)))
22.0ms
(* y (- z t))
64.0ms
(* (* y (- z t)) (/ 1 a))

series203.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(- x (* (* y (- z t)) (/ 1 a)))
45.0ms
(* y (- z t))
78.0ms
(* (* y (- z t)) (/ 1 a))

simplify2.8s

Counts
89 → 89
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01551082
1437968
22540791
done5000781

prune388.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
41.0ms
(- x (/ y (/ a (- z t))))
12.0ms
(/ a (- z t))
17.0ms
(/ y (/ a (- z t)))

series151.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- x (/ y (/ a (- z t))))
37.0ms
(/ a (- z t))
59.0ms
(/ y (/ a (- z t)))

simplify958.0ms

Counts
164 → 164
Iterations

Useful iterations: 2 (305.0ms)

IterNodesCost
02532379
16342246
229002144
done50002144

prune790.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.7b
(/ y (/ (cbrt a) (- z t)))
4.1b
(* (/ 1 (* (cbrt a) (cbrt a))) (/ y (/ (cbrt a) (- z t))))

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
452×times-frac
320×add-sqr-sqrt
289×*-un-lft-identity
201×add-cube-cbrt
114×cbrt-prod
113×associate-*r*
87×add-exp-log
42×distribute-lft-out-- difference-of-squares
36×div-exp associate-/r*
35×add-cbrt-cube
30×prod-exp
18×cbrt-undiv
16×associate-/r/
12×cbrt-unprod unswap-sqr
10×div-inv
7×flip3-- associate-*l* flip--
6×pow1 rec-exp 1-exp
4×add-log-exp
3×associate-/l*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 358
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
36.0ms
(/ y (/ (cbrt a) (- z t)))
165.0ms
(* (/ 1 (* (cbrt a) (cbrt a))) (/ y (/ (cbrt a) (- z t))))

series927.0ms

Counts
4 → 12
Calls
4 calls:
294.0ms
(cbrt a)
248.0ms
(cbrt a)
248.0ms
(/ y (/ (cbrt a) (- z t)))
136.0ms
(* (/ 1 (* (cbrt a) (cbrt a))) (/ y (/ (cbrt a) (- z t))))

simplify1.2s

Counts
370 → 370
Iterations

Useful iterations: done (1.2s)

IterNodesCost
04936961
117196484
done50005836

prune2.3s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes955.0ms

Accuracy

90.1% (0.6b remaining)

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

bsearch3.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02047
12735
done2735

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s10599×body80valid