Details

Time bar (total: 13.6s)

sample51.0ms

Algorithm
intervals
Results
19.0ms295×body80nan
12.0ms274×body80valid

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: 0.3b

localize21.0ms

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
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))

rewrite248.0ms

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:
16.0ms
(+ y (/ 1.0 (* x 9.0)))
205.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
11.0ms
(/ 1.0 (* x 9.0))
14.0ms
(* 3.0 (sqrt x))

series195.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ y (/ 1.0 (* x 9.0)))
86.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
24.0ms
(/ 1.0 (* x 9.0))
49.0ms
(* 3.0 (sqrt x))

simplify1.1s

Counts
96 → 96
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01781134
14831048
22605942
done5000940

prune286.0ms

Pruning

12 alts after pruning (12 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
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.3b
(/ 1.0 (* x 9.0))

rewrite448.0ms

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)))
197.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
226.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
8.0ms
(/ 1.0 (* x 9.0))

series220.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ y (/ 1.0 (* x 9.0)))
70.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
92.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
22.0ms
(/ 1.0 (* x 9.0))

simplify1.1s

Counts
110 → 110
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01771564
14591496
221111356
done50001350

prune289.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize15.0ms

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))
0.5b
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×sqrt-prod
23×add-cube-cbrt *-un-lft-identity
21×pow1
18×add-exp-log times-frac add-cbrt-cube
16×associate-*r*
13×associate-*l*
12×swap-sqr
8×sqrt-pow1 pow1/2
6×div-inv associate-/l* unswap-sqr
5×pow-prod-up
4×cbrt-undiv sqrt-div div-exp pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow-sqr
2×frac-2neg clear-num associate-/r* *-commutative
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ rem-square-sqrt
Counts
4 → 128
Calls
4 calls:
13.0ms
(/ 1.0 (* x 9.0))
12.0ms
(/ 1.0 (* x 9.0))
15.0ms
(* 3.0 (sqrt x))
70.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

series167.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ 1.0 (* x 9.0))
21.0ms
(/ 1.0 (* x 9.0))
55.0ms
(* 3.0 (sqrt x))
66.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

simplify990.0ms

Counts
140 → 140
Iterations

Useful iterations: done (985.0ms)

IterNodesCost
01861622
14231162
221111026
done50001007

prune492.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))
0.3b
(* (sqrt (sqrt (/ 1.0 (* x 9.0)))) (pow (sqrt (sqrt (/ 1.0 (* x 9.0)))) 3))
0.8b
(pow (sqrt (sqrt (/ 1.0 (* x 9.0)))) 3)

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
131×sqrt-prod
80×add-sqr-sqrt
38×associate-*r*
35×unpow-prod-down cube-prod
31×add-cube-cbrt *-un-lft-identity
26×unswap-sqr
18×times-frac
17×add-exp-log
16×associate-*l*
14×add-cbrt-cube
10×pow1 sqrt-div
6×div-inv
5×pow-pow prod-exp sqr-pow
4×sqrt-pow1 add-log-exp
3×cube-div pow-unpow cbrt-unprod associate-/l*
2×cbrt-undiv cube-mult pow-to-exp pow1/2 unpow3 div-exp pow-exp *-commutative
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* pow-prod-up sqrt-pow2 rem-cube-cbrt
Counts
4 → 177
Calls
4 calls:
8.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (sqrt x))
88.0ms
(* (sqrt (sqrt (/ 1.0 (* x 9.0)))) (pow (sqrt (sqrt (/ 1.0 (* x 9.0)))) 3))
24.0ms
(pow (sqrt (sqrt (/ 1.0 (* x 9.0)))) 3)

series457.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 1.0 (* x 9.0))
59.0ms
(* 3.0 (sqrt x))
71.0ms
(* (sqrt (sqrt (/ 1.0 (* x 9.0)))) (pow (sqrt (sqrt (/ 1.0 (* x 9.0)))) 3))
302.0ms
(pow (sqrt (sqrt (/ 1.0 (* x 9.0)))) 3)

simplify3.2s

Counts
189 → 189
Iterations

Useful iterations: done (3.2s)

IterNodesCost
02523260
17032911
237052360
done50002338

prune640.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11614
done1614

end0.0ms

sample1.8s

Algorithm
intervals
Results
634.0ms8543×body80valid
551.0ms8512×body80nan