Details

Time bar (total: 21.2s)

sample168.0ms

Algorithm
intervals
Results
93.0ms651×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 4 (255.0ms)

IterNodesCost
02329
14729
211028
333328
4123027
done500027

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c t) (* i y))
4.7b
(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
5.3b
(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
6.4b
(* j (- (* c t) (* i y)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×distribute-rgt-in sub-neg distribute-lft-in associate-*r* associate-*l* prod-diff
2×flip3-- associate-*r/ flip-- fma-udef
1×fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
13.0ms
(- (* c t) (* i y))
0.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
0.0ms
(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
54.0ms
(* j (- (* c t) (* i y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* c t) (* i y))
750.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
283.0ms
(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
110.0ms
(* j (- (* c t) (* i y)))

simplify843.0ms

Counts
76 → 76
Iterations

Useful iterations: done (840.0ms)

IterNodesCost
01191239
12871222
211291077
done50001071

prune814.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.8b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c t) (* i y))
4.7b
(fma x (- (* y z) (* t a)) (+ (* b (- (* i a) (* c z))) (* j (- (* c t) (* i y)))))
5.9b
(* b (- (* i a) (* c z)))
6.4b
(* j (- (* c t) (* i y)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×distribute-rgt-in distribute-lft-in associate-*r* associate-*l* add-log-exp
5×sub-neg prod-diff
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×flip3-- flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log fma-udef
Counts
4 → 82
Calls
4 calls:
9.0ms
(- (* c t) (* i y))
0.0ms
(fma x (- (* y z) (* t a)) (+ (* b (- (* i a) (* c z))) (* j (- (* c t) (* i y)))))
42.0ms
(* b (- (* i a) (* c z)))
52.0ms
(* j (- (* c t) (* i y)))

series877.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (* c t) (* i y))
656.0ms
(fma x (- (* y z) (* t a)) (+ (* b (- (* i a) (* c z))) (* j (- (* c t) (* i y)))))
82.0ms
(* b (- (* i a) (* c z)))
97.0ms
(* j (- (* c t) (* i y)))

simplify928.0ms

Counts
94 → 94
Iterations

Useful iterations: done (925.0ms)

IterNodesCost
01591364
14121334
217291190
done50001178

prune578.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.8b

localize62.0ms

Local error

Found 4 expressions with local error:

6.4b
(* j (- (* c t) (* i y)))
7.9b
(cbrt (- (* i a) (* c z)))
7.9b
(cbrt (- (* i a) (* c z)))
7.9b
(cbrt (- (* i a) (* c z)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div add-cbrt-cube
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in pow1/3 associate-*r* associate-*l*
2×sub-neg associate-*r/ prod-diff
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 73
Calls
4 calls:
45.0ms
(* j (- (* c t) (* i y)))
10.0ms
(cbrt (- (* i a) (* c z)))
10.0ms
(cbrt (- (* i a) (* c z)))
11.0ms
(cbrt (- (* i a) (* c z)))

series634.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* j (- (* c t) (* i y)))
181.0ms
(cbrt (- (* i a) (* c z)))
178.0ms
(cbrt (- (* i a) (* c z)))
197.0ms
(cbrt (- (* i a) (* c z)))

simplify2.5s

Counts
85 → 85
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01351225
13541183
211641093
347141065
done50001065

prune661.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.8b

localize68.0ms

Local error

Found 4 expressions with local error:

7.9b
(cbrt (- (* i a) (* c z)))
7.9b
(cbrt (- (* i a) (* c z)))
7.9b
(cbrt (- (* i a) (* c z)))
7.9b
(cbrt (- (* i a) (* c z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
6.0ms
(cbrt (- (* i a) (* c z)))
6.0ms
(cbrt (- (* i a) (* c z)))
6.0ms
(cbrt (- (* i a) (* c z)))
6.0ms
(cbrt (- (* i a) (* c z)))

series674.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt (- (* i a) (* c z)))
147.0ms
(cbrt (- (* i a) (* c z)))
166.0ms
(cbrt (- (* i a) (* c z)))
167.0ms
(cbrt (- (* i a) (* c z)))

simplify1.1s

Counts
72 → 72
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0721120
11911068
25421000
31678968
done5001912

prune665.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 5.8b

regimes1.2s

Accuracy

28.8% (5.3b remaining)

Error of 10.5b against oracle of 5.2b and baseline of 12.7b

bsearch404.0ms

Steps
ItersRangePoint
8
7.240381748774566e+30
5.0288801274555077e+33
4.016321628929564e+33
9
-2.2888725555864935e+31
-1.0251757777877082e+26
-8.72253751610923e+30

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
039103
15780
done5780

end0.0ms

sample5.5s

Algorithm
intervals
Results
3.7s19290×body80valid