Details

Time bar (total: 10.0s)

sample71.0ms

Algorithm
intervals
Results
33.0ms370×body80valid

simplify496.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 associate-*r* add-log-exp
associate-*r/
sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
21.0ms
(* y (- z t))
8.0ms
(- x (/ (* y (- z t)) a))
16.0ms
(/ (* y (- z t)) a)

series146.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* y (- z t))
56.0ms
(- x (/ (* y (- z t)) a))
52.0ms
(/ (* y (- z t)) a)

simplify542.0ms

Counts
72 → 72

prune186.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite119.0ms

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
flip3-- flip-- div-inv associate-/l*
add-log-exp
cbrt-undiv div-exp
pow1
frac-2neg clear-num
sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
21.0ms
(/ a (- z t))
63.0ms
(- x (/ y (/ a (- z t))))
19.0ms
(/ y (/ a (- z t)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ a (- z t))
80.0ms
(- x (/ y (/ a (- z t))))
75.0ms
(/ y (/ a (- z t)))

simplify813.0ms

Counts
164 → 164

prune598.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (/ y a) (- z t)))
6.0b
(* (/ y a) (- z t))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
sub-neg associate-*r*
pow1 distribute-rgt-in distribute-lft-in associate--r+ add-log-exp
flip3-- flip--
frac-times associate-*r/ prod-exp cbrt-unprod unswap-sqr
cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 58
Calls
2 calls:
11.0ms
(- x (* (/ y a) (- z t)))
62.0ms
(* (/ y a) (- z t))

series160.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(- x (* (/ y a) (- z t)))
94.0ms
(* (/ y a) (- z t))

simplify570.0ms

Counts
64 → 64

prune192.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ a (- z t))
0.0b
(- x (/ 1 (/ (/ a (- z t)) y)))
0.3b
(/ 1 (/ (/ a (- z t)) y))
4.3b
(/ (/ a (- z t)) y)

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
783×times-frac
463×add-sqr-sqrt
446×*-un-lft-identity
336×add-cube-cbrt
75×associate-/r*
59×difference-of-squares
54×distribute-lft-out--
35×associate-/r/
32×add-exp-log
27×associate-/l*
24×div-inv
20×add-cbrt-cube
19×div-exp
18×flip3-- flip--
10×cbrt-undiv
add-log-exp
pow1
rec-exp frac-2neg 1-exp clear-num
sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
4 → 456
Calls
4 calls:
11.0ms
(/ a (- z t))
107.0ms
(- x (/ 1 (/ (/ a (- z t)) y)))
38.0ms
(/ 1 (/ (/ a (- z t)) y))
24.0ms
(/ (/ a (- z t)) y)

series282.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ a (- z t))
68.0ms
(- x (/ 1 (/ (/ a (- z t)) y)))
74.0ms
(/ 1 (/ (/ a (- z t)) y))
88.0ms
(/ (/ a (- z t)) y)

simplify803.0ms

Counts
468 → 468

prune1.9s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes507.0ms

Accuracy

-141.4% (5.9b remaining)

Error of 5.9b against oracle of 0.0b and baseline of 2.4b

bsearch57.0ms

Steps
ItersRangePoint
1
8.024365566270536e-40
8.693165852240087e-40
8.525965780747699e-40
8
-10776530070600512.0
-41002201274305.5
-193800797444951.66

simplify515.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
508.0ms10638×body80valid