Details

Time bar (total: 25.6s)

sample69.0ms

Algorithm
intervals
Results
25.0ms259×body80nan
18.0ms281×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
24714
37314
49614
513014
619314
744514
8111814
9448514
done500114

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite460.0ms

Algorithm
rewrite-expression-head
Rules
321×times-frac
299×add-sqr-sqrt
242×*-un-lft-identity
221×add-cube-cbrt
178×prod-diff
131×associate--l+
25×div-inv difference-of-squares
16×add-exp-log add-cbrt-cube associate-/l*
11×distribute-lft-out--
9×add-log-exp
7×fma-neg
6×pow1 associate-*r*
5×cbrt-undiv div-exp
4×expm1-log1p-u associate-/r* sqrt-prod log1p-expm1-u
3×diff-log associate-*l*
2×sub-neg flip3-- frac-2neg prod-exp clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/
Counts
4 → 327
Calls
4 calls:
383.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
19.0ms
(/ y (* 3.0 (sqrt x)))
12.0ms
(* 3.0 (sqrt x))
17.0ms
(/ (/ 1.0 x) 9.0)

series264.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
74.0ms
(/ y (* 3.0 (sqrt x)))
68.0ms
(* 3.0 (sqrt x))
32.0ms
(/ (/ 1.0 x) 9.0)

simplify951.0ms

Counts
339 → 339
Iterations

Useful iterations: done (931.0ms)

IterNodesCost
056610014
116239015
done50007392

prune1.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
69×times-frac
45×add-sqr-sqrt
41×add-cube-cbrt *-un-lft-identity
28×sqrt-prod
25×add-exp-log add-cbrt-cube
13×associate-/l*
10×div-inv
9×cbrt-undiv div-exp
8×associate-/r*
6×pow1 associate-*r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num
2×unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
4 → 144
Calls
4 calls:
18.0ms
(/ y (* 3.0 (sqrt x)))
20.0ms
(/ 1.0 (* (sqrt 9.0) x))
47.0ms
(/ (/ 1.0 (* (sqrt 9.0) x)) (sqrt 9.0))
21.0ms
(* 3.0 (sqrt x))

series326.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(/ y (* 3.0 (sqrt x)))
60.0ms
(/ 1.0 (* (sqrt 9.0) x))
141.0ms
(/ (/ 1.0 (* (sqrt 9.0) x)) (sqrt 9.0))
46.0ms
(* 3.0 (sqrt x))

simplify1.9s

Counts
156 → 156
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02721952
16541714
229631616
done50001612

prune587.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite632.0ms

Algorithm
rewrite-expression-head
Rules
1794×times-frac
1758×add-sqr-sqrt
1159×*-un-lft-identity
986×add-cube-cbrt
832×prod-diff
317×sqrt-prod
257×difference-of-squares
131×associate--l+
87×distribute-lft-out--
86×div-inv
26×associate-/l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
10×fma-neg
9×associate-/r*
6×cbrt-undiv div-exp
4×pow1 expm1-log1p-u diff-log log1p-expm1-u
3×sub-neg flip3-- flip--
2×frac-2neg clear-num frac-sub associate-/l/
1×associate--l-
Counts
4 → 1073
Calls
4 calls:
50.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
419.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
12.0ms
(/ (/ 1.0 x) 9.0)
14.0ms
(/ (/ y 3.0) (sqrt x))

series209.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
61.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
20.0ms
(/ (/ 1.0 x) 9.0)
78.0ms
(/ (/ y 3.0) (sqrt x))

simplify2.0s

Counts
1085 → 1085
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0145459763
1384354906
done500051393

prune4.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(/ (/ (cbrt 1.0) x) (sqrt (cbrt 9.0)))
0.5b
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (fabs (cbrt 9.0))) (/ (/ (cbrt 1.0) x) (sqrt (cbrt 9.0))))

rewrite463.0ms

Algorithm
rewrite-expression-head
Rules
899×times-frac
586×add-sqr-sqrt
412×add-cube-cbrt *-un-lft-identity
330×cbrt-prod
317×sqrt-prod
208×associate-*r*
70×add-exp-log
59×add-cbrt-cube
42×unswap-sqr
37×associate-*l*
32×cbrt-undiv div-exp
26×div-inv
25×associate-/l*
17×prod-exp cbrt-unprod
10×associate-/r*
8×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg pow-prod-down clear-num *-commutative
1×frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 607
Calls
4 calls:
19.0ms
(/ y (* 3.0 (sqrt x)))
25.0ms
(* 3.0 (sqrt x))
40.0ms
(/ (/ (cbrt 1.0) x) (sqrt (cbrt 9.0)))
308.0ms
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (fabs (cbrt 9.0))) (/ (/ (cbrt 1.0) x) (sqrt (cbrt 9.0))))

series864.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ y (* 3.0 (sqrt x)))
71.0ms
(* 3.0 (sqrt x))
266.0ms
(/ (/ (cbrt 1.0) x) (sqrt (cbrt 9.0)))
448.0ms
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (fabs (cbrt 9.0))) (/ (/ (cbrt 1.0) x) (sqrt (cbrt 9.0))))

simplify1.9s

Counts
619 → 619
Iterations

Useful iterations: done (1.9s)

IterNodesCost
081114556
1279113506
done500113038

prune3.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02332
12832
done2832

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s8457×body80nan
754.0ms8574×body80valid