Details

Time bar (total: 19.2s)

sample26.0ms

Algorithm
intervals
Results
11.0ms287×body80valid
1.0ms7×body640valid
1.0ms4×body1280valid
1.0ms5×body320valid
0.0ms3×body160valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
012246
121246
251221
3172221
4582221
51977221
done5000221

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
199×add-sqr-sqrt
195×prod-diff
191×*-un-lft-identity
185×add-cube-cbrt
146×times-frac
82×distribute-rgt-in associate-+r+ distribute-lft-in
16×div-inv
13×fma-neg
11×pow1 add-cbrt-cube add-exp-log
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
6×associate-*l*
5×sub-neg difference-of-squares
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-def distribute-lft-out--
2×associate-*r/ *-commutative
1×+-commutative sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 304
Calls
4 calls:
35.0ms
(- (/ 2.0 3.0) z)
24.0ms
(* (- y x) 6.0)
26.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
95.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series245.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (/ 2.0 3.0) z)
47.0ms
(* (- y x) 6.0)
97.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
76.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.6s

Counts
316 → 316
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0400150140
11107129879
done5001105732

prune1.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite340.0ms

Algorithm
rewrite-expression-head
Rules
429×prod-diff
403×add-sqr-sqrt
395×*-un-lft-identity
389×add-cube-cbrt
369×distribute-rgt-in distribute-lft-in
308×times-frac
164×associate-+r+
34×div-inv
13×fma-neg
11×pow1 sub-neg add-cbrt-cube add-exp-log
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×fma-def distribute-lft-out--
2×associate-*l/ *-commutative
1×+-commutative sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 550
Calls
4 calls:
31.0ms
(- (/ 2.0 3.0) z)
73.0ms
(* 6.0 (- (/ 2.0 3.0) z))
67.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
110.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (/ 2.0 3.0) z)
53.0ms
(* 6.0 (- (/ 2.0 3.0) z))
77.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
69.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify1.9s

Counts
562 → 562
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0653301737
11643260805
done5000207906

prune2.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
60.4b
(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
0.0ms
(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

series1.5s

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt z)
267.0ms
(cbrt z)
258.0ms
(cbrt z)
673.0ms
(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

simplify1.0s

Counts
61 → 61
Iterations

Useful iterations: done (988.0ms)

IterNodesCost
04012147
17111121
22318789
39498429
done50007999

prune518.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) 6.0)
0.0b
(* (- y x) 6.0)
0.3b
(fma (* (- y x) 6.0) (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z)) x)
1.0b
(/ 2.0 (cbrt 3.0))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×*-un-lft-identity
23×add-cube-cbrt
18×times-frac
12×cbrt-prod
10×associate-*l* add-exp-log
9×add-cbrt-cube
8×pow1
6×associate-/r* associate-*r*
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×associate-/l*
2×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-- distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
4 → 99
Calls
4 calls:
27.0ms
(* (- y x) 6.0)
35.0ms
(* (- y x) 6.0)
0.0ms
(fma (* (- y x) 6.0) (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z)) x)
8.0ms
(/ 2.0 (cbrt 3.0))

series304.0ms

Counts
4 → 10
Calls
4 calls:
44.0ms
(* (- y x) 6.0)
45.0ms
(* (- y x) 6.0)
215.0ms
(fma (* (- y x) 6.0) (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z)) x)
0.0ms
(/ 2.0 (cbrt 3.0))

simplify918.0ms

Counts
109 → 109
Iterations

Useful iterations: done (905.0ms)

IterNodesCost
014626643
128124828
286524638
done500123897

prune828.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes346.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012246
115246
done15246

end0.0ms

sample1.5s

Algorithm
intervals
Results
644.0ms9450×body80valid
357.0ms140×body1280valid
83.0ms264×body640valid
29.0ms187×body320valid
11.0ms102×body160valid