Details

Time bar (total: 17.2s)

sample22.0ms

Algorithm
intervals
Results
8.0ms303×body80valid
1.0ms12×body640valid
1.0ms7×body1280valid
0.0ms4×body320valid
0.0ms4×body160valid

simplify5.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01213
12113
25012
313612
434212
588412
6206112
7401312
done500112

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

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-exp-log add-cbrt-cube
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 flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 304
Calls
4 calls:
14.0ms
(- (/ 2.0 3.0) z)
22.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
11.0ms
(* (- y x) 6.0)
46.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series169.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
67.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
31.0ms
(* (- y x) 6.0)
51.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.5s

Counts
316 → 316
Iterations

Useful iterations: done (1.5s)

IterNodesCost
04007667
19606190
235125410
done50015263

prune668.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
55×*-un-lft-identity
49×add-cube-cbrt
39×prod-diff
38×times-frac
13×fma-neg
11×pow1 add-exp-log associate-*l* add-cbrt-cube
10×associate-*l/
8×flip3-- flip-- add-log-exp
5×difference-of-squares
4×expm1-log1p-u frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u div-inv
3×fma-def distribute-lft-out--
2×associate-*r/ *-commutative
1×+-commutative sub-neg flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 140
Calls
4 calls:
14.0ms
(- (/ 2.0 3.0) z)
37.0ms
(* (- (/ 2.0 3.0) z) 6.0)
9.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
53.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series177.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (/ 2.0 3.0) z)
41.0ms
(* (- (/ 2.0 3.0) z) 6.0)
68.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
45.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify995.0ms

Counts
152 → 152
Iterations

Useful iterations: done (991.0ms)

IterNodesCost
02302494
15532061
218141787
done50011742

prune340.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
59.7b
(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

rewrite3.0ms

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

series1.1s

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt z)
188.0ms
(cbrt z)
190.0ms
(cbrt z)
568.0ms
(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

simplify2.8s

Counts
61 → 61
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
040441
164329
2142231
3430221
42536191
done5001191

prune248.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×*-un-lft-identity
23×add-cube-cbrt
18×times-frac
12×cbrt-prod
10×add-exp-log associate-*l*
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 flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
4 → 99
Calls
4 calls:
10.0ms
(* (- y x) 6.0)
10.0ms
(* (- y x) 6.0)
0.0ms
(fma (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z)) (* (- y x) 6.0) x)
3.0ms
(/ 2.0 (cbrt 3.0))

series216.0ms

Counts
4 → 10
Calls
4 calls:
37.0ms
(* (- y x) 6.0)
32.0ms
(* (- y x) 6.0)
147.0ms
(fma (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z)) (* (- y x) 6.0) x)
0.0ms
(/ 2.0 (cbrt 3.0))

simplify1.5s

Counts
109 → 109
Iterations

Useful iterations: 3 (578.0ms)

IterNodesCost
01461130
12711086
2708989
32339956
done5000956

prune416.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample539.0ms

Algorithm
intervals
Results
270.0ms9443×body80valid
26.0ms259×body640valid
19.0ms148×body1280valid
14.0ms192×body320valid
6.0ms107×body160valid