Details

Time bar (total: 7.8s)

sample47.0ms

Algorithm
intervals
Results
18.0ms339×body80valid

simplify441.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ (* y (- z t)) a))
7.6b
(/ (* y (- z t)) a)

rewrite59.0ms

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:
25.0ms
(* y (- z t))
11.0ms
(- x (/ (* y (- z t)) a))
20.0ms
(/ (* y (- z t)) a)

series177.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* y (- z t))
61.0ms
(- x (/ (* y (- z t)) a))
67.0ms
(/ (* y (- z t)) a)

simplify539.0ms

Counts
72 → 72

prune192.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (* (* y (- z t)) (/ 1 a)))
7.6b
(* (* y (- z t)) (/ 1 a))

rewrite96.0ms

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:
28.0ms
(* y (- z t))
7.0ms
(- x (* (* y (- z t)) (/ 1 a)))
57.0ms
(* (* y (- z t)) (/ 1 a))

series174.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* y (- z t))
64.0ms
(- x (* (* y (- z t)) (/ 1 a)))
66.0ms
(* (* y (- z t)) (/ 1 a))

simplify903.0ms

Counts
89 → 89

prune210.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ 1 (/ a (* y (- z t)))))
0.2b
(/ 1 (/ a (* y (- z t))))
7.6b
(/ a (* y (- z t)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
37×add-sqr-sqrt
32×add-exp-log *-un-lft-identity
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv flip3-- flip-- div-inv
6×associate-/l* add-log-exp
5×associate-*r* prod-exp
4×difference-of-squares
3×sub-neg rec-exp 1-exp associate-*l* cbrt-unprod distribute-lft-out--
2×distribute-rgt-in frac-2neg distribute-lft-in clear-num
1×pow-flip diff-log pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 130
Calls
4 calls:
20.0ms
(* y (- z t))
24.0ms
(- x (/ 1 (/ a (* y (- z t)))))
31.0ms
(/ 1 (/ a (* y (- z t))))
17.0ms
(/ a (* y (- z t)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* y (- z t))
57.0ms
(- x (/ 1 (/ a (* y (- z t)))))
61.0ms
(/ 1 (/ a (* y (- z t))))
58.0ms
(/ a (* y (- z t)))

simplify808.0ms

Counts
142 → 142

prune330.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- (/ y a)) (- z t)))
5.5b
(* (- (/ y a)) (- z t))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
30×associate-*l*
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt times-frac
13×distribute-lft-neg-in distribute-rgt-neg-in
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
3×distribute-lft-neg-out distribute-neg-frac
2×frac-times flip3-- associate-*r/ flip-- div-inv
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down associate-*l/ prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 74
Calls
2 calls:
15.0ms
(+ x (* (- (/ y a)) (- z t)))
55.0ms
(* (- (/ y a)) (- z t))

series161.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(+ x (* (- (/ y a)) (- z t)))
86.0ms
(* (- (/ y a)) (- z t))

simplify639.0ms

Counts
80 → 80

prune263.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes315.0ms

Accuracy

-173.2% (6.1b remaining)

Error of 6.1b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify702.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
592.0ms10736×body80valid