Details

Time bar (total: 21.7s)

sample158.0ms

Algorithm
intervals
Results
82.0ms602×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5001
41195
3333
2110
147
023

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.3b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b
(fma (- a) t (* z y))
4.1b
(fma (- (* t c) (* i y)) j (fma b (- (* a i) (* z c)) (* (fma (- a) t (* z y)) x)))
4.6b
(fma b (- (* a i) (* z c)) (* (fma (- a) t (* z y)) x))
6.5b
(* (fma (- a) t (* z y)) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* fma-udef
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 50
Calls
4 calls:
0.0ms
(fma (- a) t (* z y))
0.0ms
(fma (- (* t c) (* i y)) j (fma b (- (* a i) (* z c)) (* (fma (- a) t (* z y)) x)))
0.0ms
(fma b (- (* a i) (* z c)) (* (fma (- a) t (* z y)) x))
8.0ms
(* (fma (- a) t (* z y)) x)

series1.1s

Counts
4 → 12
Calls
4 calls:
51.0ms
(fma (- a) t (* z y))
695.0ms
(fma (- (* t c) (* i y)) j (fma b (- (* a i) (* z c)) (* (fma (- a) t (* z y)) x)))
268.0ms
(fma b (- (* a i) (* z c)) (* (fma (- a) t (* z y)) x))
104.0ms
(* (fma (- a) t (* z y)) x)

simplify1.6s

Counts
62 → 62
Iterations
IterNodes
done5001
32913
2454
1170
090

prune847.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.9b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b
(fma (- a) t (* z y))
4.6b
(fma b (- (* a i) (* z c)) (* (fma (- a) t (* z y)) x))
5.6b
(* j (fma i (- y) (* c t)))
6.5b
(* (fma (- a) t (* z y)) x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l*
4×expm1-log1p-u fma-udef log1p-expm1-u add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×distribute-rgt-in distribute-lft-in
Counts
4 → 62
Calls
4 calls:
0.0ms
(fma (- a) t (* z y))
0.0ms
(fma b (- (* a i) (* z c)) (* (fma (- a) t (* z y)) x))
14.0ms
(* j (fma i (- y) (* c t)))
9.0ms
(* (fma (- a) t (* z y)) x)

series538.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(fma (- a) t (* z y))
262.0ms
(fma b (- (* a i) (* z c)) (* (fma (- a) t (* z y)) x))
102.0ms
(* j (fma i (- y) (* c t)))
104.0ms
(* (fma (- a) t (* z y)) x)

simplify1.8s

Counts
74 → 74
Iterations
IterNodes
done5000
34136
2719
1236
0114

prune771.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.2b

localize57.0ms

Local error

Found 4 expressions with local error:

4.6b
(fma b (- (* a i) (* z c)) (* (fma (- a) t (* z y)) x))
5.5b
(* t (* j c))
6.5b
(* (fma (- a) t (* z y)) x)
7.2b
(* (- y) (* i j))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube associate-*l* add-exp-log
12×add-sqr-sqrt
10×*-un-lft-identity add-cube-cbrt
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative
1×distribute-lft-neg-out neg-mul-1 fma-udef unswap-sqr
Counts
4 → 78
Calls
4 calls:
0.0ms
(fma b (- (* a i) (* z c)) (* (fma (- a) t (* z y)) x))
12.0ms
(* t (* j c))
5.0ms
(* (fma (- a) t (* z y)) x)
17.0ms
(* (- y) (* i j))

series449.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(fma b (- (* a i) (* z c)) (* (fma (- a) t (* z y)) x))
42.0ms
(* t (* j c))
77.0ms
(* (fma (- a) t (* z y)) x)
41.0ms
(* (- y) (* i j))

simplify648.0ms

Counts
90 → 90
Iterations
IterNodes
done5000
21234
1336
0144

prune1.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.7b

localize75.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (fma z (- c) (* i a)) b)
5.5b
(* t (* j c))
6.5b
(* (fma (- a) t (* z y)) x)
7.2b
(* (- y) (* i j))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
19×associate-*l*
18×pow1 add-cbrt-cube add-exp-log
16×add-sqr-sqrt
12×*-un-lft-identity add-cube-cbrt
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×unswap-sqr
1×distribute-lft-neg-out neg-mul-1
Counts
4 → 88
Calls
4 calls:
5.0ms
(* (fma z (- c) (* i a)) b)
21.0ms
(* t (* j c))
11.0ms
(* (fma (- a) t (* z y)) x)
24.0ms
(* (- y) (* i j))

series276.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (fma z (- c) (* i a)) b)
31.0ms
(* t (* j c))
116.0ms
(* (fma (- a) t (* z y)) x)
35.0ms
(* (- y) (* i j))

simplify618.0ms

Counts
100 → 100
Iterations
IterNodes
done5000
21390
1376
0163

prune1.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.7b

regimes2.5s

Accuracy

31.5% (5.6b remaining)

Error of 10.1b against oracle of 4.5b and baseline of 12.7b

bsearch450.0ms

Steps
ItersRangePoint
9
4.625764621207204e-48
1.4384871724783715e-41
1.65647671617686e-46
9
-6.336766675038268e+104
-1.1639020682205606e+99
-9.58178917061948e+99

simplify19.0ms

Iterations
IterNodes
done94
394
287
180
054

end0.0ms

sample5.5s

Algorithm
intervals
Results
3.5s19160×body80valid