Details

Time bar (total: 28.4s)

sample126.0ms

Algorithm
intervals
Results
61.0ms570×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (277.0ms)

IterNodesCost
02329
14729
211028
333328
490927
5281127
done500027

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c t) (* i y))
4.2b
(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
5.4b
(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
6.0b
(* j (- (* c t) (* i y)))

rewrite45.0ms

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:
9.0ms
(- (* 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))))
34.0ms
(* j (- (* c t) (* i y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* c t) (* i y))
667.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
277.0ms
(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
79.0ms
(* j (- (* c t) (* i y)))

simplify1.5s

Counts
76 → 76
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01191239
12621222
27061071
324711071
done50011056

prune474.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c t) (* i y))
4.2b
(fma x (- (* y z) (* t a)) (+ (* b (- (* i a) (* c z))) (* j (- (* c t) (* i y)))))
5.9b
(* b (- (* i a) (* c z)))
6.0b
(* j (- (* c t) (* i y)))

rewrite78.0ms

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:
10.0ms
(- (* c t) (* i y))
0.0ms
(fma x (- (* y z) (* t a)) (+ (* b (- (* i a) (* c z))) (* j (- (* c t) (* i y)))))
38.0ms
(* b (- (* i a) (* c z)))
28.0ms
(* j (- (* c t) (* i y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* c t) (* i y))
887.0ms
(fma x (- (* y z) (* t a)) (+ (* b (- (* i a) (* c z))) (* j (- (* c t) (* i y)))))
123.0ms
(* b (- (* i a) (* c z)))
101.0ms
(* j (- (* c t) (* i y)))

simplify2.5s

Counts
94 → 94
Iterations

Useful iterations: 2 (166.0ms)

IterNodesCost
01591364
13731334
210631178
338661178
done50001178

prune572.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.8b

localize32.0ms

Local error

Found 4 expressions with local error:

4.2b
(* (* i a) b)
4.2b
(fma x (- (* y z) (* t a)) (+ (+ (* (* i a) b) (- (* z (* b c)))) (* j (- (* c t) (* i y)))))
4.8b
(* z (* b c))
6.0b
(* j (- (* c t) (* i y)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r* associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in *-commutative
2×sub-neg associate-*r/ prod-diff
1×flip3-- flip-- fma-udef unswap-sqr
Counts
4 → 78
Calls
4 calls:
30.0ms
(* (* i a) b)
0.0ms
(fma x (- (* y z) (* t a)) (+ (+ (* (* i a) b) (- (* z (* b c)))) (* j (- (* c t) (* i y)))))
17.0ms
(* z (* b c))
56.0ms
(* j (- (* c t) (* i y)))

series949.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (* i a) b)
744.0ms
(fma x (- (* y z) (* t a)) (+ (+ (* (* i a) b) (- (* z (* b c)))) (* j (- (* c t) (* i y)))))
33.0ms
(* z (* b c))
115.0ms
(* j (- (* c t) (* i y)))

simplify3.5s

Counts
90 → 90
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
01591140
13821115
21282940
34704920
done5000920

prune599.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.8b

localize48.0ms

Local error

Found 4 expressions with local error:

4.2b
(fma x (- (* y z) (* t a)) (+ (+ (* a (* i b)) (- (* z (* b c)))) (* j (- (* c t) (* i y)))))
4.4b
(* a (* i b))
4.8b
(* z (* b c))
6.0b
(* j (- (* c t) (* i y)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×associate-*l*
8×add-cube-cbrt *-un-lft-identity
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in *-commutative
2×sub-neg associate-*r/ prod-diff
1×flip3-- flip-- fma-udef unswap-sqr
Counts
4 → 78
Calls
4 calls:
1.0ms
(fma x (- (* y z) (* t a)) (+ (+ (* a (* i b)) (- (* z (* b c)))) (* j (- (* c t) (* i y)))))
28.0ms
(* a (* i b))
30.0ms
(* z (* b c))
60.0ms
(* j (- (* c t) (* i y)))

series980.0ms

Counts
4 → 12
Calls
4 calls:
777.0ms
(fma x (- (* y z) (* t a)) (+ (+ (* a (* i b)) (- (* z (* b c)))) (* j (- (* c t) (* i y)))))
35.0ms
(* a (* i b))
37.0ms
(* z (* b c))
131.0ms
(* j (- (* c t) (* i y)))

simplify3.5s

Counts
90 → 90
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
01551137
13701114
21175939
34326919
done5000919

prune537.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.5b

regimes1.2s

Accuracy

17.4% (6.4b remaining)

Error of 11.7b against oracle of 5.3b and baseline of 13.0b

bsearch347.0ms

Steps
ItersRangePoint
6
1.460422264139721e-19
1.5372914508662636e-18
3.131592390228503e-19
5
-4.719802467536767e-84
-2.2108140805713297e-84
-3.9013984440124083e-84

simplify30.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
049127
185127
2106127
done106127

end0.0ms

sample6.3s

Algorithm
intervals
Results
4.2s18970×body80valid