Details

Time bar (total: 10.0s)

sample44.0ms

Algorithm
intervals
Results
15.0ms335×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5000
82495
7794
6297
5129
479
348
228
114
08

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (/ z t) (- x y)))
7.7b
(* (/ z t) (- x y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×sub-neg associate-*r*
4×distribute-rgt-in pow1 distribute-lft-in associate--r+ add-log-exp
3×flip3-- flip--
2×frac-times prod-exp associate-*r/ cbrt-unprod unswap-sqr
1×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:
5.0ms
(- x (* (/ z t) (- x y)))
24.0ms
(* (/ z t) (- x y))

series142.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(- x (* (/ z t) (- x y)))
85.0ms
(* (/ z t) (- x y))

simplify694.0ms

Counts
64 → 64
Iterations
IterNodes
done5000
21405
1317
0121

prune316.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* z (/ (- x y) t)))
0.0b
(/ (- x y) t)
5.2b
(* z (/ (- x y) t))

rewrite44.0ms

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-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-/r* associate-*l*
2×cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod div-inv flip-- unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*r/ *-commutative
Counts
3 → 88
Calls
3 calls:
5.0ms
(- x (* z (/ (- x y) t)))
12.0ms
(/ (- x y) t)
22.0ms
(* z (/ (- x y) t))

series170.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(- x (* z (/ (- x y) t)))
38.0ms
(/ (- x y) t)
69.0ms
(* z (/ (- x y) t))

simplify789.0ms

Counts
97 → 97
Iterations
IterNodes
done5002
21513
1354
0138

prune478.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* z (- (/ x t) (/ y t))))
5.2b
(* z (- (/ x t) (/ y t)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×*-un-lft-identity
12×associate-*r*
10×times-frac
6×add-cube-cbrt
5×sub-neg
4×distribute-rgt-in pow1 distribute-lft-in add-cbrt-cube associate-*r/ add-exp-log associate--r+ distribute-lft-out-- add-log-exp difference-of-squares
3×associate-*l*
2×flip3-- div-inv flip--
1×distribute-rgt-out-- diff-log pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
2 → 51
Calls
2 calls:
7.0ms
(- x (* z (- (/ x t) (/ y t))))
95.0ms
(* z (- (/ x t) (/ y t)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- x (* z (- (/ x t) (/ y t))))
56.0ms
(* z (- (/ x t) (/ y t)))

simplify759.0ms

Counts
57 → 57
Iterations
IterNodes
done5000
2985
1287
0109

prune262.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (/ t z)) (/ z (/ t y)))
0.0b
(- x (- (/ x (/ t z)) (/ z (/ t y))))
5.3b
(/ x (/ t z))
5.8b
(/ z (/ t y))

rewrite456.0ms

Algorithm
rewrite-expression-head
Rules
184×times-frac
128×add-sqr-sqrt
115×*-un-lft-identity
90×add-cube-cbrt
26×associate-/r*
14×add-cbrt-cube add-exp-log
12×div-inv
11×add-log-exp
10×difference-of-squares
9×distribute-lft-out--
6×cbrt-undiv div-exp associate-/l*
4×pow1 diff-log
3×sub-neg
2×clear-num frac-2neg flip3-- associate-/r/ flip-- associate--r+
1×frac-sub associate--r-
Counts
4 → 187
Calls
4 calls:
99.0ms
(- (/ x (/ t z)) (/ z (/ t y)))
323.0ms
(- x (- (/ x (/ t z)) (/ z (/ t y))))
11.0ms
(/ x (/ t z))
9.0ms
(/ z (/ t y))

series197.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (/ x (/ t z)) (/ z (/ t y)))
60.0ms
(- x (- (/ x (/ t z)) (/ z (/ t y))))
33.0ms
(/ x (/ t z))
33.0ms
(/ z (/ t y))

simplify1.3s

Counts
199 → 199
Iterations
IterNodes
done5000
24287
1889
0348

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes337.0ms

Accuracy

7.7% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.0b

bsearch51.0ms

Steps
ItersRangePoint
8
-1.5795895250795303e-73
-2.46247335010462e-77
-1.4743746062189412e-73

simplify2.0ms

Iterations
IterNodes
done18
118
016

end0.0ms

sample1.1s

Algorithm
intervals
Results
423.0ms10707×body80valid