Details

Time bar (total: 22.4s)

sample127.0ms

Algorithm
intervals
Results
67.0ms602×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 4 (586.0ms)

IterNodesCost
02329
14729
211028
333328
4122927
done500027

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c a) (* y i))
4.0b
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
4.7b
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
5.0b
(* j (- (* c a) (* y i)))

rewrite65.0ms

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:
17.0ms
(- (* c a) (* y i))
1.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
1.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
44.0ms
(* j (- (* c a) (* y i)))

series1.3s

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* c a) (* y i))
350.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
767.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
111.0ms
(* j (- (* c a) (* y i)))

simplify1.1s

Counts
76 → 76
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01191239
12871222
211411077
done50011071

prune514.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.0b

localize57.0ms

Local error

Found 4 expressions with local error:

4.7b
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
5.0b
(* j (- (* c a) (* y i)))
5.0b
(* j (- (* c a) (* y i)))
5.0b
(* j (- (* c a) (* y i)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×distribute-rgt-in distribute-lft-in associate-*r* associate-*l*
6×sub-neg associate-*r/ prod-diff
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×fma-udef
Counts
4 → 94
Calls
4 calls:
1.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
59.0ms
(* j (- (* c a) (* y i)))
28.0ms
(* j (- (* c a) (* y i)))
38.0ms
(* j (- (* c a) (* y i)))

series1.2s

Counts
4 → 12
Calls
4 calls:
865.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
110.0ms
(* j (- (* c a) (* y i)))
129.0ms
(* j (- (* c a) (* y i)))
84.0ms
(* j (- (* c a) (* y i)))

simplify1.0s

Counts
106 → 106
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0951535
12381524
29231357
done50001339

prune750.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 4.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) (* t a))
3.8b
(* c (- (* a j) (* z b)))
4.4b
(* i (* y j))
4.7b
(fma x (- (* y z) (* t a)) (- (* c (- (* a j) (* z b))) (* i (* y j))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*l* add-log-exp
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×distribute-rgt-in sub-neg distribute-lft-in prod-diff
2×flip3-- associate-*r/ *-commutative flip--
1×fma-neg diff-log fma-udef unswap-sqr
Counts
4 → 74
Calls
4 calls:
24.0ms
(- (* y z) (* t a))
37.0ms
(* c (- (* a j) (* z b)))
35.0ms
(* i (* y j))
1.0ms
(fma x (- (* y z) (* t a)) (- (* c (- (* a j) (* z b))) (* i (* y j))))

series958.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* y z) (* t a))
113.0ms
(* c (- (* a j) (* z b)))
29.0ms
(* i (* y j))
766.0ms
(fma x (- (* y z) (* t a)) (- (* c (- (* a j) (* z b))) (* i (* y j))))

simplify1.2s

Counts
86 → 86
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01541093
13861076
21502940
done5000938

prune558.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 4.0b

localize42.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* y j)))
3.2b
(* (cbrt i) (* y j))
3.8b
(* c (- (* a j) (* z b)))
4.7b
(fma x (- (* y z) (* t a)) (- (* c (- (* a j) (* z b))) (* (* (cbrt i) (cbrt i)) (* (cbrt i) (* y j)))))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
10×add-sqr-sqrt associate-*l*
8×add-cube-cbrt *-un-lft-identity
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod distribute-rgt-in distribute-lft-in *-commutative
2×sub-neg associate-*r/ prod-diff
1×flip3-- flip-- fma-udef unswap-sqr
Counts
4 → 91
Calls
4 calls:
69.0ms
(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* y j)))
34.0ms
(* (cbrt i) (* y j))
45.0ms
(* c (- (* a j) (* z b)))
1.0ms
(fma x (- (* y z) (* t a)) (- (* c (- (* a j) (* z b))) (* (* (cbrt i) (cbrt i)) (* (cbrt i) (* y j)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* y j)))
142.0ms
(* (cbrt i) (* y j))
92.0ms
(* c (- (* a j) (* z b)))
731.0ms
(fma x (- (* y z) (* t a)) (- (* c (- (* a j) (* z b))) (* (* (cbrt i) (cbrt i)) (* (cbrt i) (* y j)))))

simplify1.4s

Counts
103 → 103
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01651523
14481497
220781126
done5000992

prune500.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 4.0b

regimes1.4s

Accuracy

17.8% (5.8b remaining)

Error of 10.8b against oracle of 5.0b and baseline of 12.0b

bsearch445.0ms

Steps
ItersRangePoint
8
5.577787141245616e-29
3.2892368543836436e-25
3.238807179348643e-25
10
-6.455874477362242e+177
-6.153388385511394e+164
-2.3140902463762793e+173

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
04186
15484
done5484

end0.0ms

sample5.8s

Algorithm
intervals
Results
3.7s19035×body80valid