Details

Time bar (total: 19.3s)

sample83.0ms

Algorithm
intervals
Results
30.0ms269×body80valid
21.0ms297×body80nan

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
26414
318814
445414
590614
6207814
done500114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

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))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
31×add-sqr-sqrt
25×add-cube-cbrt
24×prod-diff
16×add-exp-log add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
12×associate-*r*
11×pow1
8×distribute-lft-out
6×add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*l* pow-prod-down sqrt-prod log1p-expm1-u
3×fma-def times-frac associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ *-commutative 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 → 119
Calls
4 calls:
12.0ms
(+ y (/ 1.0 (* x 9.0)))
176.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (sqrt x))

series172.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ y (/ 1.0 (* x 9.0)))
81.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
22.0ms
(/ 1.0 (* x 9.0))
39.0ms
(* 3.0 (sqrt x))

simplify2.0s

Counts
131 → 131
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02302240
16581945
239051672
done50001669

prune312.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite518.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
75×distribute-rgt-in distribute-lft-in
72×prod-diff
59×add-sqr-sqrt
53×add-cube-cbrt
20×distribute-lft-out
16×add-exp-log add-cbrt-cube
11×pow1
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u
3×fma-def times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log flip-+ div-inv difference-of-squares
Counts
4 → 181
Calls
4 calls:
12.0ms
(+ y (/ 1.0 (* x 9.0)))
224.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms
(/ 1.0 (* x 9.0))
261.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ y (/ 1.0 (* x 9.0)))
67.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms
(/ 1.0 (* x 9.0))
79.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.9s

Counts
193 → 193
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02774666
17323973
237103341
done50003335

prune410.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
255×distribute-rgt-in distribute-lft-in
198×*-un-lft-identity
168×prod-diff
115×add-sqr-sqrt
109×add-cube-cbrt
43×distribute-lft-out
37×add-exp-log
32×pow1
25×add-cbrt-cube
20×prod-exp cbrt-unprod
19×pow-prod-down
14×sub-neg associate--l+
13×associate-*l*
12×associate-*r/
8×associate-*r*
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×cbrt-prod flip3-- times-frac *-commutative flip-- associate-/l*
2×cbrt-undiv div-exp distribute-lft-out-- unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 319
Calls
4 calls:
702.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
282.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
10.0ms
(/ 1.0 (* x 9.0))
296.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series402.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
78.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
25.0ms
(/ 1.0 (* x 9.0))
159.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify902.0ms

Counts
331 → 331
Iterations

Useful iterations: done (884.0ms)

IterNodesCost
044011946
1144110424
done50017983

prune536.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.7s

Algorithm
rewrite-expression-head
Rules
255×distribute-rgt-in distribute-lft-in
238×*-un-lft-identity
168×prod-diff
155×add-sqr-sqrt
149×add-cube-cbrt
75×times-frac
43×distribute-lft-out
37×add-exp-log
32×pow1
25×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
14×sub-neg associate--l+
13×associate-*l* associate-/l*
12×associate-*r/
8×associate-*r*
5×div-inv
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×cbrt-undiv cbrt-prod flip3-- div-exp associate-/r* *-commutative flip--
2×distribute-lft-out-- unswap-sqr
1×frac-2neg clear-num associate-/l/ difference-of-squares
Counts
4 → 368
Calls
4 calls:
1.5s
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))))
556.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
12.0ms
(/ (/ 1.0 x) 9.0)
558.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series654.0ms

Counts
4 → 12
Calls
4 calls:
378.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))))
84.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
24.0ms
(/ (/ 1.0 x) 9.0)
168.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify978.0ms

Counts
380 → 380
Iterations

Useful iterations: done (949.0ms)

IterNodesCost
054112623
1169911393
done50018606

prune720.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01726
12226
done2226

end0.0ms

sample1.7s

Algorithm
intervals
Results
629.0ms8544×body80valid
530.0ms8659×body80nan