Details

Time bar (total: 13.4s)

sample42.0ms

Algorithm
intervals
Results
12.0ms281×body80valid
11.0ms263×body80nan

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
26414
318014
438614
574814
6173814
done500114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (sqrt x))
0.3b
(/ 1.0 (* x 9.0))

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
12×associate-*r*
11×pow1
10×add-cube-cbrt
6×add-log-exp
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod
3×distribute-rgt-in distribute-lft-in times-frac associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ clear-num associate-/r* sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 84
Calls
4 calls:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
267.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
20.0ms
(* 3.0 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

series178.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ y (/ 1.0 (* x 9.0)))
65.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
57.0ms
(* 3.0 (sqrt x))
23.0ms
(/ 1.0 (* x 9.0))

simplify1.1s

Counts
96 → 96
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01781134
14831048
22610942
done5001934

prune262.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.2b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

rewrite829.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod
3×times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log flip-+ div-inv difference-of-squares
Counts
4 → 98
Calls
4 calls:
14.0ms
(+ y (/ 1.0 (* x 9.0)))
291.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
13.0ms
(/ 1.0 (* x 9.0))
507.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series212.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (/ 1.0 (* x 9.0)))
62.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms
(/ 1.0 (* x 9.0))
104.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify935.0ms

Counts
110 → 110
Iterations

Useful iterations: done (931.0ms)

IterNodesCost
01771564
14581496
220921356
done50001350

prune233.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ y (/ 1.0 (* x 9.0))) 3.0)
0.3b
(* (* (- 1.0) 3.0) (sqrt x))
0.3b
(/ 1.0 (* x 9.0))
0.4b
(* (* (+ y (/ 1.0 (* x 9.0))) 3.0) (sqrt x))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1
15×associate-*r*
14×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt
8×prod-exp cbrt-unprod
7×pow-prod-down
6×associate-*l* associate-*l/ sqrt-prod
4×add-log-exp
3×times-frac *-commutative associate-/l*
2×cbrt-undiv distribute-lft-neg-out flip3-+ div-exp flip-+
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out unswap-sqr
Counts
4 → 87
Calls
4 calls:
73.0ms
(* (+ y (/ 1.0 (* x 9.0))) 3.0)
43.0ms
(* (* (- 1.0) 3.0) (sqrt x))
9.0ms
(/ 1.0 (* x 9.0))
83.0ms
(* (* (+ y (/ 1.0 (* x 9.0))) 3.0) (sqrt x))

series179.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (+ y (/ 1.0 (* x 9.0))) 3.0)
45.0ms
(* (* (- 1.0) 3.0) (sqrt x))
25.0ms
(/ 1.0 (* x 9.0))
75.0ms
(* (* (+ y (/ 1.0 (* x 9.0))) 3.0) (sqrt x))

simplify1.4s

Counts
99 → 99
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01841183
14961103
22834957
done5000955

prune302.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ (/ 1.0 x) 9.0))
0.2b
(* (sqrt x) (- (* 1 (+ y (/ (/ 1.0 x) 9.0))) 1.0))
0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(* 3.0 (* (sqrt x) (- (* 1 (+ y (/ (/ 1.0 x) 9.0))) 1.0)))

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
54×add-sqr-sqrt
53×*-un-lft-identity
50×add-cube-cbrt
26×distribute-rgt-in distribute-lft-in
16×add-exp-log add-cbrt-cube
13×associate-/l*
12×associate--l+
11×pow1
9×associate-*l*
6×sub-neg associate-*r/ add-log-exp
5×associate-*r* div-inv
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×cbrt-undiv div-exp associate-/r*
2×flip3-- *-commutative flip-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ associate-/l/ distribute-lft-out distribute-lft-out--
Counts
4 → 151
Calls
4 calls:
24.0ms
(+ y (/ (/ 1.0 x) 9.0))
118.0ms
(* (sqrt x) (- (* 1 (+ y (/ (/ 1.0 x) 9.0))) 1.0))
11.0ms
(/ (/ 1.0 x) 9.0)
170.0ms
(* 3.0 (* (sqrt x) (- (* 1 (+ y (/ (/ 1.0 x) 9.0))) 1.0)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ y (/ (/ 1.0 x) 9.0))
67.0ms
(* (sqrt x) (- (* 1 (+ y (/ (/ 1.0 x) 9.0))) 1.0))
24.0ms
(/ (/ 1.0 x) 9.0)
65.0ms
(* 3.0 (* (sqrt x) (- (* 1 (+ y (/ (/ 1.0 x) 9.0))) 1.0)))

simplify2.3s

Counts
163 → 163
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02952509
18022213
243452069
done50012063

prune462.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01416
12014
22114
done2114

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.0s8370×body80nan
530.0ms8582×body80valid