Details

Time bar (total: 11.0s)

sample45.0ms

Algorithm
intervals
Results
15.0ms335×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5000
93982
81054
7411
6217
5160
499
358
225
114
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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)))
28.0ms
(* (/ z t) (- x y))

series152.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(- x (* (/ z t) (- x y)))
78.0ms
(* (/ z t) (- x y))

simplify791.0ms

Counts
64 → 64
Iterations
IterNodes
done5000
21405
1317
0121

prune392.0ms

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))

rewrite60.0ms

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:
4.0ms
(- x (* z (/ (- x y) t)))
12.0ms
(/ (- x y) t)
40.0ms
(* z (/ (- x y) t))

series216.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- x (* z (/ (- x y) t)))
54.0ms
(/ (- x y) t)
91.0ms
(* z (/ (- x y) t))

simplify760.0ms

Counts
97 → 97
Iterations
IterNodes
done5002
21513
1354
0138

prune534.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite126.0ms

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:
5.0ms
(- x (* z (- (/ x t) (/ y t))))
119.0ms
(* z (- (/ x t) (/ y t)))

series136.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(- x (* z (- (/ x t) (/ y t))))
82.0ms
(* z (- (/ x t) (/ y t)))

simplify664.0ms

Counts
57 → 57
Iterations
IterNodes
done5000
2985
1287
0109

prune245.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
97×add-sqr-sqrt
95×*-un-lft-identity
88×add-cube-cbrt
26×associate-/r*
14×add-cbrt-cube add-exp-log
11×add-log-exp
10×div-inv
6×cbrt-undiv div-exp associate-/l*
4×pow1
3×difference-of-squares
2×associate-+r+ clear-num sum-log sub-neg frac-2neg flip3-- diff-log frac-add associate-/r/ flip-- distribute-lft-out distribute-lft-out--
1×+-commutative associate-+r- flip3-+ flip-+
Counts
4 → 175
Calls
4 calls:
33.0ms
(- x (/ x (/ t z)))
114.0ms
(+ (/ z (/ t y)) (- x (/ x (/ t z))))
7.0ms
(/ x (/ t z))
7.0ms
(/ z (/ t y))

series193.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- x (/ x (/ t z)))
52.0ms
(+ (/ z (/ t y)) (- x (/ x (/ t z))))
44.0ms
(/ x (/ t z))
40.0ms
(/ z (/ t y))

simplify1.4s

Counts
187 → 187
Iterations
IterNodes
done5001
24496
1897
0334

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes352.0ms

Accuracy

7.7% (1.8b remaining)

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

bsearch49.0ms

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

simplify2.0ms

Iterations
IterNodes
done18
118
016

end0.0ms

sample1.3s

Algorithm
intervals
Results
560.0ms10707×body80valid