Details

Time bar (total: 7.6s)

sample82.0ms

Algorithm
intervals
Results
37.0ms608×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c t) (* i y))
3.8b
(* x (- (* y z) (* t a)))
4.2b
(* b (- (* c z) (* i a)))
5.8b
(* j (- (* c t) (* i y)))

rewrite104.0ms

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*
7×sub-neg prod-diff
6×associate-*r/ add-log-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log
Counts
4 → 100
Calls
4 calls:
8.0ms
(- (* c t) (* i y))
26.0ms
(* x (- (* y z) (* t a)))
32.0ms
(* b (- (* c z) (* i a)))
36.0ms
(* j (- (* c t) (* i y)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* c t) (* i y))
68.0ms
(* x (- (* y z) (* t a)))
63.0ms
(* b (- (* c z) (* i a)))
67.0ms
(* j (- (* c t) (* i y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0478643
11975572
25002572

prune549.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 7.2b

localize23.0ms

Local error

Found 4 expressions with local error:

3.8b
(* x (- (* y z) (* t a)))
4.3b
(* b (* c z))
5.4b
(* b (- (* i a)))
5.8b
(* j (- (* c t) (* i y)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
13×associate-*r*
12×associate-*l*
11×add-cube-cbrt *-un-lft-identity
6×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u sub-neg associate-*r/ prod-diff *-commutative log1p-expm1-u add-log-exp
3×unswap-sqr
2×flip3-- flip--
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out
Counts
4 → 100
Calls
4 calls:
26.0ms
(* x (- (* y z) (* t a)))
15.0ms
(* b (* c z))
11.0ms
(* b (- (* i a)))
29.0ms
(* j (- (* c t) (* i y)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* x (- (* y z) (* t a)))
24.0ms
(* b (* c z))
29.0ms
(* b (- (* i a)))
66.0ms
(* j (- (* c t) (* i y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0481550
12195483
25002483

prune574.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 5.6b

localize33.0ms

Local error

Found 4 expressions with local error:

4.3b
(* b (* c z))
5.4b
(* b (- (* i a)))
5.8b
(* j (fma c t (- (* y i))))
48.2b
(fma (- y) i (* y i))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity associate-*l*
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative fma-udef
2×unswap-sqr
1×distribute-lft-neg-in distribute-rgt-in neg-mul-1 distribute-rgt-neg-in distribute-lft-in distribute-rgt-neg-out
Counts
4 → 76
Calls
4 calls:
15.0ms
(* b (* c z))
11.0ms
(* b (- (* i a)))
7.0ms
(* j (fma c t (- (* y i))))
0.0ms
(fma (- y) i (* y i))

series151.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* b (* c z))
30.0ms
(* b (- (* i a)))
69.0ms
(* j (fma c t (- (* y i))))
29.0ms
(fma (- y) i (* y i))

simplify47.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0289376
11362324
25001324

prune545.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 5.6b

localize28.0ms

Local error

Found 4 expressions with local error:

4.3b
(* b (* c z))
5.4b
(* b (- (* i a)))
5.8b
(* j (- (* c t) (* i y)))
52.1b
(fma (- a) t (* a t))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity associate-*l*
5×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 unswap-sqr
1×distribute-lft-neg-in neg-mul-1 flip3-- distribute-rgt-neg-in distribute-rgt-neg-out flip-- fma-udef
Counts
4 → 82
Calls
4 calls:
15.0ms
(* b (* c z))
11.0ms
(* b (- (* i a)))
28.0ms
(* j (- (* c t) (* i y)))
0.0ms
(fma (- a) t (* a t))

series149.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* b (* c z))
24.0ms
(* b (- (* i a)))
70.0ms
(* j (- (* c t) (* i y)))
26.0ms
(fma (- a) t (* a t))

simplify52.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0353416
11617363
25002362

prune508.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 5.6b

regimes1.3s

Accuracy

-6.2% (5.9b remaining)

Error of 12.4b against oracle of 6.5b and baseline of 12.1b

bsearch193.0ms

Steps
ItersRangePoint
7
4.503490746074615e-207
7.588447092105184e-206
8.630599180107171e-207
8
-9.192818801740465e-181
-3.791827733571667e-184
-1.438210847674307e-181

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09059
110959
211059
311059

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s18743×body80valid