Details

Time bar (total: 11.8s)

sample45.0ms

Algorithm
intervals
Results
19.0ms336×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
010244
125244
254204
3121204
4303204
5827204
62917204
done5001204

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* x (- (* x 3.0) 4.0)))
0.0b
(- (* x 3.0) 4.0)
0.1b
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
0.1b
(* x (- (* x 3.0) 4.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
6×associate-*r* associate-*l*
5×distribute-rgt-in sub-neg distribute-lft-in
4×associate-+r+ associate-*r/
2×flip3-+ flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ flip-- unswap-sqr
1×+-commutative sum-log diff-log
Counts
4 → 73
Calls
4 calls:
6.0ms
(+ 1.0 (* x (- (* x 3.0) 4.0)))
6.0ms
(- (* x 3.0) 4.0)
14.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
23.0ms
(* x (- (* x 3.0) 4.0))

series199.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ 1.0 (* x (- (* x 3.0) 4.0)))
50.0ms
(- (* x 3.0) 4.0)
45.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
70.0ms
(* x (- (* x 3.0) 4.0))

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: done (1.2s)

IterNodesCost
011920486
132917461
2133217301
done500116861

prune338.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 3.0 (* x (- (* x 9.0) 12.0)))
0.0b
(- (* x 9.0) 12.0)
0.1b
(* x (- (* x 9.0) 12.0))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 sub-neg *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×distribute-rgt-in associate-+r+ distribute-lft-in
3×associate-*r* associate-*l*
2×flip3-- associate-*r/ flip--
1×+-commutative sum-log flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 51
Calls
3 calls:
6.0ms
(+ 3.0 (* x (- (* x 9.0) 12.0)))
11.0ms
(- (* x 9.0) 12.0)
44.0ms
(* x (- (* x 9.0) 12.0))

series148.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ 3.0 (* x (- (* x 9.0) 12.0)))
55.0ms
(- (* x 9.0) 12.0)
68.0ms
(* x (- (* x 9.0) 12.0))

simplify1.0s

Counts
60 → 60
Iterations

Useful iterations: done (1.0s)

IterNodesCost
08613292
122511152
281911072
done500110832

prune294.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
0.1b
(* x (- (* x 3.0) 4.0))
0.1b
(* x (- (* x 3.0) 4.0))
0.1b
(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cbrt-cube add-exp-log
14×sqrt-div associate-*r/
13×*-un-lft-identity add-cube-cbrt
10×associate-*l*
7×flip3-+ sqrt-prod flip-+
6×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in frac-times sub-neg distribute-lft-in *-commutative add-log-exp unswap-sqr
2×flip3-- associate-*l/ flip--
Counts
4 → 101
Calls
4 calls:
16.0ms
(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
40.0ms
(* x (- (* x 3.0) 4.0))
42.0ms
(* x (- (* x 3.0) 4.0))
45.0ms
(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

series428.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
112.0ms
(* x (- (* x 3.0) 4.0))
113.0ms
(* x (- (* x 3.0) 4.0))
52.0ms
(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

simplify2.1s

Counts
113 → 113
Iterations

Useful iterations: done (2.1s)

IterNodesCost
016736832
145030245
2218929443
done500029323

prune474.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (* (* x x) 9.0) 3.0) (* 12.0 x))
0.1b
(* (* x x) 9.0)

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log add-log-exp
4×add-sqr-sqrt
3×*-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×diff-log
1×sum-log sub-neg flip3-- associate-*l* associate--l+ *-commutative flip-- unswap-sqr
Counts
2 → 33
Calls
2 calls:
123.0ms
(- (+ (* (* x x) 9.0) 3.0) (* 12.0 x))
27.0ms
(* (* x x) 9.0)

series72.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- (+ (* (* x x) 9.0) 3.0) (* 12.0 x))
36.0ms
(* (* x x) 9.0)

simplify1.1s

Counts
39 → 39
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0709072
11977314
211487234
done50006634

prune99.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09204
112204
done12204

end0.0ms

sample1.0s

Algorithm
intervals
Results
850.0ms10682×body80valid