Details

Time bar (total: 12.3s)

sample55.0ms

Algorithm
intervals
Results
16.0ms270×body80valid
14.0ms242×body80nan

simplify1.6s

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

localize11.0ms

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))

rewrite227.0ms

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:
15.0ms
(+ y (/ 1.0 (* x 9.0)))
186.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
15.0ms
(* 3.0 (sqrt x))
9.0ms
(/ 1.0 (* x 9.0))

series190.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ y (/ 1.0 (* x 9.0)))
91.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
39.0ms
(* 3.0 (sqrt x))
21.0ms
(/ 1.0 (* x 9.0))

simplify1.2s

Counts
96 → 96
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01781134
14831048
22610942
done5001934

prune327.0ms

Pruning

13 alts after pruning (13 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)))
0.3b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.3b
(/ 1.0 (* x 9.0))

rewrite436.0ms

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:
16.0ms
(+ y (/ 1.0 (* x 9.0)))
213.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
187.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
15.0ms
(/ 1.0 (* x 9.0))

series231.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ y (/ 1.0 (* x 9.0)))
82.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
85.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
27.0ms
(/ 1.0 (* x 9.0))

simplify1.1s

Counts
110 → 110
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01771564
14591496
221111356
done50001350

prune269.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y (/ 1.0 (* x 9.0))) 3.0)
0.3b
(* 3.0 (* (sqrt x) (- 1.0)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* (* (+ y (/ 1.0 (* x 9.0))) 3.0) (sqrt x))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt *-un-lft-identity
11×add-cube-cbrt
10×associate-*r*
8×associate-*l* prod-exp cbrt-unprod
7×pow-prod-down
6×associate-*l/
4×add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×cbrt-undiv flip3-+ div-exp distribute-rgt-neg-out flip-+
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out unswap-sqr
Counts
4 → 84
Calls
4 calls:
58.0ms
(* (+ y (/ 1.0 (* x 9.0))) 3.0)
40.0ms
(* 3.0 (* (sqrt x) (- 1.0)))
12.0ms
(/ 1.0 (* x 9.0))
73.0ms
(* (* (+ y (/ 1.0 (* x 9.0))) 3.0) (sqrt x))

series231.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (+ y (/ 1.0 (* x 9.0))) 3.0)
62.0ms
(* 3.0 (* (sqrt x) (- 1.0)))
24.0ms
(/ 1.0 (* x 9.0))
95.0ms
(* (* (+ y (/ 1.0 (* x 9.0))) 3.0) (sqrt x))

simplify1.3s

Counts
96 → 96
Iterations

Useful iterations: 2 (447.0ms)

IterNodesCost
01811154
14831080
22637934
done5002934

prune350.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
37×sqrt-prod
34×add-sqr-sqrt
24×pow1
22×add-cube-cbrt *-un-lft-identity
21×add-exp-log add-cbrt-cube
18×times-frac
16×associate-*r*
12×swap-sqr
11×associate-*l*
8×sqrt-pow1 pow1/2
6×pow-prod-down prod-exp cbrt-unprod div-inv associate-/l*
5×associate-*l/ pow-prod-up
4×cbrt-undiv sqrt-div div-exp 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-*r/ rem-square-sqrt flip-+
Counts
4 → 129
Calls
4 calls:
13.0ms
(/ 1.0 (* x 9.0))
14.0ms
(/ 1.0 (* x 9.0))
56.0ms
(* (* (+ y (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))) 3.0) (sqrt x))
72.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

series280.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 1.0 (* x 9.0))
18.0ms
(/ 1.0 (* x 9.0))
150.0ms
(* (* (+ y (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))) 3.0) (sqrt x))
86.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

simplify1.8s

Counts
141 → 141
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02132100
15331372
229761213
done50001193

prune515.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01728
12628
23428
33828
done3828

end0.0ms

sample1.7s

Algorithm
intervals
Results
595.0ms8389×body80nan
513.0ms8513×body80valid