Details

Time bar (total: 23.6s)

sample58.0ms

Algorithm
intervals
Results
23.0ms314×body80valid
2.0ms8×body640valid
2.0ms5×body1280valid
1.0ms6×body320valid

simplify7.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01213
12113
25112
317212
447712
5115212
6270812
done500012

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.1b
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
118×*-un-lft-identity
117×prod-diff
114×add-cube-cbrt
92×times-frac
41×distribute-rgt-in distribute-lft-in
13×fma-neg
10×div-inv
6×associate-*r*
5×pow1 add-exp-log add-cbrt-cube add-log-exp
4×difference-of-squares
3×expm1-log1p-u sub-neg associate-*l* log1p-expm1-u
2×flip3-- associate-*r/ flip-- distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 186
Calls
3 calls:
24.0ms
(- (/ 2.0 3.0) z)
74.0ms
(* 6.0 (- (/ 2.0 3.0) z))
1.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series149.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- (/ 2.0 3.0) z)
47.0ms
(* 6.0 (- (/ 2.0 3.0) z))
72.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify2.4s

Counts
195 → 195
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02574364
14553245
29302739
330282292
done50001959

prune341.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))) x)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.1b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite490.0ms

Algorithm
rewrite-expression-head
Rules
429×prod-diff
402×add-sqr-sqrt
394×*-un-lft-identity
388×add-cube-cbrt
369×distribute-rgt-in distribute-lft-in
308×times-frac
164×associate-+l+
34×div-inv
13×fma-neg
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×associate-*r/
8×flip3-- associate-*l* flip-- add-log-exp
7×associate-*r*
5×difference-of-squares
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-out--
2×associate-*l/ *-commutative
1×+-commutative fma-def flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 548
Calls
4 calls:
29.0ms
(- (/ 2.0 3.0) z)
133.0ms
(+ (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))) x)
95.0ms
(* 6.0 (- (/ 2.0 3.0) z))
157.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series247.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (/ 2.0 3.0) z)
92.0ms
(+ (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))) x)
62.0ms
(* 6.0 (- (/ 2.0 3.0) z))
60.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify1.6s

Counts
560 → 560
Iterations

Useful iterations: done (1.6s)

IterNodesCost
050914686
1105410985
226069532
done50008938

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- y x) (+ (* (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) 6.0) (* (+ (- z) z) 6.0))) x)
0.0b
(* (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) 6.0)
0.1b
(* (- y x) (+ (* (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) 6.0) (* (+ (- z) z) 6.0)))
1.0b
(/ 2.0 (cbrt 3.0))

rewrite924.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
28×associate-*l/
27×*-un-lft-identity
23×add-cube-cbrt times-frac
14×flip3-- flip--
13×cbrt-prod associate-*l*
12×frac-times frac-add
10×add-exp-log flip3-+ flip-+
9×add-cbrt-cube
8×pow1
7×associate-*r*
6×associate-*r/ associate-/r* add-log-exp
5×difference-of-squares
4×expm1-log1p-u log1p-expm1-u
3×associate-/l*
2×distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
1×cbrt-undiv +-commutative distribute-rgt-out fma-def frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 129
Calls
4 calls:
237.0ms
(+ (* (- y x) (+ (* (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) 6.0) (* (+ (- z) z) 6.0))) x)
237.0ms
(* (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) 6.0)
431.0ms
(* (- y x) (+ (* (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) 6.0) (* (+ (- z) z) 6.0)))
9.0ms
(/ 2.0 (cbrt 3.0))

series600.0ms

Counts
4 → 10
Calls
4 calls:
250.0ms
(+ (* (- y x) (+ (* (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) 6.0) (* (+ (- z) z) 6.0))) x)
194.0ms
(* (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) 6.0)
156.0ms
(* (- y x) (+ (* (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) 6.0) (* (+ (- z) z) 6.0)))
0.0ms
(/ 2.0 (cbrt 3.0))

simplify2.1s

Counts
139 → 139
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02864103
18543731
240603488
done50003479

prune724.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (- y x) (* (* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z))) (* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z)))) x)
0.1b
(* (* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z))) (* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z))))
0.7b
(* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z)))
0.7b
(* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z)))

rewrite372.0ms

Algorithm
rewrite-expression-head
Rules
67×pow1
41×pow-prod-down
38×add-sqr-sqrt
26×sqrt-prod
20×add-exp-log sqrt-pow1 pow1/2 add-cbrt-cube
19×associate-*r*
18×associate-*r/
16×*-un-lft-identity sqrt-div
13×associate-*l*
12×add-cube-cbrt
10×prod-exp cbrt-unprod
8×flip3-- pow-prod-up flip-- unswap-sqr
7×sqrt-unprod
6×pow-sqr
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp difference-of-squares
3×*-commutative
2×times-frac pow-plus associate-*l/ distribute-lft-out--
1×pow2 swap-sqr rem-square-sqrt fma-udef
Counts
4 → 138
Calls
4 calls:
0.0ms
(fma (- y x) (* (* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z))) (* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z)))) x)
191.0ms
(* (* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z))) (* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z))))
86.0ms
(* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z)))
84.0ms
(* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z)))

series588.0ms

Counts
4 → 12
Calls
4 calls:
298.0ms
(fma (- y x) (* (* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z))) (* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z)))) x)
106.0ms
(* (* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z))) (* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z))))
86.0ms
(* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z)))
99.0ms
(* (sqrt 6.0) (sqrt (- (/ 2.0 3.0) z)))

simplify1.7s

Counts
150 → 150
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01742609
14181851
213391624
done50001594

prune488.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes257.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01927
12527
done2527

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s9394×body80valid
56.0ms262×body640valid
34.0ms134×body1280valid
32.0ms197×body320valid
12.0ms109×body160valid