Details

Time bar (total: 15.1s)

sample55.0ms

Algorithm
intervals
Results
14.0ms289×body80nan
13.0ms275×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
26414
318014
438614
574814
6173814
done500114

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize25.0ms

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))

rewrite295.0ms

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:
22.0ms
(+ y (/ 1.0 (* x 9.0)))
232.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
22.0ms
(* 3.0 (sqrt x))
17.0ms
(/ 1.0 (* x 9.0))

series219.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ y (/ 1.0 (* x 9.0)))
98.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
68.0ms
(* 3.0 (sqrt x))
19.0ms
(/ 1.0 (* x 9.0))

simplify1.4s

Counts
96 → 96
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01781134
14831048
22610942
done5001934

prune340.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite560.0ms

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:
18.0ms
(+ y (/ 1.0 (* x 9.0)))
304.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms
(/ 1.0 (* x 9.0))
218.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ y (/ 1.0 (* x 9.0)))
82.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms
(/ 1.0 (* x 9.0))
78.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.1s

Counts
110 → 110
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01771564
14581496
220921356
done50001350

prune278.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
48×times-frac
36×*-un-lft-identity
34×add-cube-cbrt
33×associate-*r*
28×sqrt-prod
26×associate-*l*
23×add-exp-log add-cbrt-cube
13×pow1
11×unswap-sqr
8×prod-exp cbrt-unprod
6×add-log-exp
5×pow-prod-down
4×cbrt-undiv div-exp
3×distribute-rgt-in distribute-lft-in associate-*r/ *-commutative
2×sub-neg associate--l+ div-inv
1×+-commutative frac-times flip3-- flip3-+ associate-*l/ sum-log flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 134
Calls
4 calls:
7.0ms
(+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0)))
72.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))) 1.0))
11.0ms
(* 3.0 (sqrt x))
43.0ms
(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))

series514.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0)))
228.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))) 1.0))
42.0ms
(* 3.0 (sqrt x))
136.0ms
(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))

simplify2.8s

Counts
146 → 146
Iterations

Useful iterations: 2 (752.0ms)

IterNodesCost
02672211
18051729
249421595
done50021595

prune520.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))) 1.0)))
0.5b
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod
33×add-sqr-sqrt
24×pow1
21×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
18×times-frac
13×associate-*l*
12×distribute-rgt-in distribute-lft-in swap-sqr
11×associate-*r*
8×sqrt-pow1 pow1/2
6×pow-prod-down prod-exp cbrt-unprod div-inv associate-/l*
5×associate-*r/ pow-prod-up
4×cbrt-undiv sub-neg sqrt-div div-exp associate--l+ add-log-exp unswap-sqr
3×pow-sqr
2×frac-2neg clear-num associate-/r* *-commutative
1×pow2 frac-times flip3-- pow-plus sqrt-unprod associate-*l/ rem-square-sqrt flip--
Counts
4 → 138
Calls
4 calls:
9.0ms
(/ 1.0 (* x 9.0))
15.0ms
(/ 1.0 (* x 9.0))
107.0ms
(* 3.0 (* (sqrt x) (- (+ y (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))) 1.0)))
78.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

series318.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 1.0 (* x 9.0))
26.0ms
(/ 1.0 (* x 9.0))
200.0ms
(* 3.0 (* (sqrt x) (- (+ y (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))) 1.0)))
64.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

simplify1.4s

Counts
150 → 150
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02332408
15791636
229461443
done50011420

prune371.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes246.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01422
11822
done1822

end0.0ms

sample2.2s

Algorithm
intervals
Results
956.0ms8808×body80nan
601.0ms8557×body80valid