Details

Time bar (total: 16.2s)

sample45.0ms

Algorithm
intervals
Results
13.0ms295×body80nan
11.0ms274×body80valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5006
92920
81615
7959
6645
5435
4318
3176
262
124
012

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cbrt-cube add-exp-log
14×*-un-lft-identity
12×associate-*r*
10×pow1
9×add-cube-cbrt
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod
3×distribute-rgt-in distribute-lft-in times-frac associate-/l* add-log-exp
2×cbrt-undiv sub-neg div-exp associate--l+ associate-*r/ *-commutative distribute-lft-out-- unswap-sqr
1×clear-num associate-/r* frac-2neg flip3-- div-inv flip-- distribute-lft-out difference-of-squares
Counts
3 → 72
Calls
3 calls:
126.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms
(/ 1.0 (* x 9.0))
7.0ms
(* 3.0 (sqrt x))

series131.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms
(/ 1.0 (* x 9.0))
42.0ms
(* 3.0 (sqrt x))

simplify1.4s

Counts
81 → 81
Iterations
IterNodes
done5000
21512
1430
0160

prune500.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b
(* 3.0 (sqrt x))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*r*
11×*-un-lft-identity
9×pow1 add-cbrt-cube add-exp-log
6×add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×distribute-rgt-in distribute-lft-in
2×sub-neg associate--l+ associate-*r/ *-commutative distribute-lft-out-- add-log-exp unswap-sqr
1×flip3-- flip-- distribute-lft-out difference-of-squares
Counts
2 → 51
Calls
2 calls:
165.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
18.0ms
(* 3.0 (sqrt x))

series170.0ms

Counts
2 → 6
Calls
2 calls:
112.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
58.0ms
(* 3.0 (sqrt x))

simplify1.3s

Counts
57 → 57
Iterations
IterNodes
done5000
21104
1333
0120

prune347.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

rewrite796.0ms

Algorithm
rewrite-expression-head
Rules
15×distribute-rgt-in distribute-lft-in
12×add-sqr-sqrt
11×*-un-lft-identity
9×pow1 add-cbrt-cube associate-*l* add-exp-log
7×associate-*r*
6×sub-neg associate--l+ associate-*r/ add-cube-cbrt
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×flip3-- *-commutative flip-- distribute-lft-out-- add-log-exp unswap-sqr
1×distribute-lft-out difference-of-squares
Counts
2 → 65
Calls
2 calls:
221.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
571.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series179.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
108.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

simplify1.5s

Counts
71 → 71
Iterations
IterNodes
done5000
21052
1307
0118

prune341.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.3b
(* (sqrt (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b
(* 3.0 (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))))
0.3b
(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
51×distribute-rgt-in distribute-lft-in
31×sqrt-prod
24×add-sqr-sqrt
22×pow1
21×associate-*l*
20×add-cbrt-cube add-exp-log
19×*-un-lft-identity
14×sub-neg associate--l+ add-cube-cbrt
12×associate-*r/
10×pow-prod-down prod-exp cbrt-unprod
8×associate-*r*
4×sqrt-pow1 add-log-exp
3×flip3-- *-commutative flip-- unswap-sqr
2×rem-sqrt-square pow1/2 distribute-lft-out--
1×distribute-lft-out difference-of-squares
Counts
4 → 141
Calls
4 calls:
4.0ms
(sqrt (sqrt x))
232.0ms
(* (sqrt (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
572.0ms
(* 3.0 (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))))
196.0ms
(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series473.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(sqrt (sqrt x))
98.0ms
(* (sqrt (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
102.0ms
(* 3.0 (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))))
81.0ms
(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

simplify2.1s

Counts
153 → 153
Iterations
IterNodes
done5001
22040
1617
0224

prune590.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0b

regimes194.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample1.8s

Algorithm
intervals
Results
725.0ms8536×body80valid
627.0ms8543×body80nan