Details

Time bar (total: 27.4s)

sample131.0ms

Algorithm
intervals
Results
66.0ms617×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 4 (249.0ms)

IterNodesCost
02329
14729
211028
333328
490727
5281727
done500027

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* y z) (* t a))
3.9b
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
4.1b
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
5.9b
(* j (- (* c a) (* y i)))

rewrite66.0ms

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:
10.0ms
(- (* y z) (* t a))
0.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
0.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
54.0ms
(* j (- (* c a) (* y i)))

series1.2s

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (* y z) (* t a))
751.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
294.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
97.0ms
(* j (- (* c a) (* y i)))

simplify2.2s

Counts
76 → 76
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01371239
13181223
28921071
331251071
done50001056

prune609.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.2b

localize64.0ms

Local error

Found 4 expressions with local error:

4.1b
(fma b (- (* t i) (* c z)) (* (* j (* (cbrt (- (* c a) (* y i))) (cbrt (- (* c a) (* y i))))) (cbrt (- (* c a) (* y i)))))
7.0b
(cbrt (- (* c a) (* y i)))
7.0b
(cbrt (- (* c a) (* y i)))
7.0b
(cbrt (- (* c a) (* y i)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip--
1×fma-udef
Counts
4 → 55
Calls
4 calls:
1.0ms
(fma b (- (* t i) (* c z)) (* (* j (* (cbrt (- (* c a) (* y i))) (cbrt (- (* c a) (* y i))))) (cbrt (- (* c a) (* y i)))))
12.0ms
(cbrt (- (* c a) (* y i)))
12.0ms
(cbrt (- (* c a) (* y i)))
13.0ms
(cbrt (- (* c a) (* y i)))

series916.0ms

Counts
4 → 12
Calls
4 calls:
351.0ms
(fma b (- (* t i) (* c z)) (* (* j (* (cbrt (- (* c a) (* y i))) (cbrt (- (* c a) (* y i))))) (cbrt (- (* c a) (* y i)))))
178.0ms
(cbrt (- (* c a) (* y i)))
168.0ms
(cbrt (- (* c a) (* y i)))
220.0ms
(cbrt (- (* c a) (* y i)))

simplify2.2s

Counts
67 → 67
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01011340
12501299
26711012
31923958
done5000916

prune744.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.5b

localize37.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
3.8b
(* (cbrt j) (- (* c a) (* y i)))
3.9b
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))))
4.1b
(fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i)))))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
15×distribute-rgt-in distribute-lft-in
11×add-sqr-sqrt add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity associate-*l*
6×sub-neg associate-*r/ prod-diff
4×cbrt-prod expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×flip3-- *-commutative flip-- fma-udef unswap-sqr
Counts
4 → 90
Calls
4 calls:
118.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
43.0ms
(* (cbrt j) (- (* c a) (* y i)))
0.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))))
0.0ms
(fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i)))))

series1.9s

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
420.0ms
(* (cbrt j) (- (* c a) (* y i)))
893.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))))
409.0ms
(fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i)))))

simplify1.5s

Counts
102 → 102
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01692229
14402201
216261644
done50011426

prune657.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.5b

localize39.0ms

Local error

Found 4 expressions with local error:

5.7b
(cbrt (- (* y z) (* t a)))
5.7b
(cbrt (- (* y z) (* t a)))
5.7b
(cbrt (- (* y z) (* t a)))
5.9b
(* j (- (* c a) (* y i)))

rewrite101.0ms

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:
12.0ms
(cbrt (- (* y z) (* t a)))
13.0ms
(cbrt (- (* y z) (* t a)))
25.0ms
(cbrt (- (* y z) (* t a)))
48.0ms
(* j (- (* c a) (* y i)))

series639.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- (* y z) (* t a)))
176.0ms
(cbrt (- (* y z) (* t a)))
208.0ms
(cbrt (- (* y z) (* t a)))
101.0ms
(* j (- (* c a) (* y i)))

simplify3.1s

Counts
85 → 85
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01351225
13361183
29561089
331321065
done50011013

prune651.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 3.5b

regimes1.4s

Accuracy

41.6% (4.9b remaining)

Error of 9.4b against oracle of 4.5b and baseline of 12.8b

bsearch349.0ms

Steps
ItersRangePoint
7
8.285314941409202e+58
1.0289555744221745e+61
1.9344009289720682e+59
10
-0.014062975964208893
-5.307120780229258e-17
-8.098605839800468e-10

simplify10.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
038130
15885
26685
done6685

end0.0ms

sample5.7s

Algorithm
intervals
Results
3.7s18877×body80valid