Details

Time bar (total: 6.8s)

sample73.0ms

Algorithm
intervals
Results
39.0ms583×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.4b

Counts
2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* y z) (* t a))
4.6b
(* j (- (* c a) (* y i)))
4.8b
(* x (- (* y z) (* t a)))
5.4b
(* b (- (* c z) (* t i)))

rewrite26.0ms

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:
4.0ms
(- (* y z) (* t a))
7.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* t i)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* y z) (* t a))
79.0ms
(* j (- (* c a) (* y i)))
75.0ms
(* x (- (* y z) (* t a)))
71.0ms
(* b (- (* c z) (* t i)))

simplify71.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0476643
11969572
25001572

prune498.0ms

Filtered
112 candidates to 79 candidates (70.5%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New9319112
Fresh011
Picked101
Done000
Total9420114

Merged error: 8.6b

Counts
114 → 20

localize35.0ms

Local error

Found 4 expressions with local error:

4.6b
(* j (- (* c a) (* y i)))
4.8b
(* x (- (* y z) (* t a)))
5.4b
(* b (- (* c z) (* t i)))
49.9b
(fma (- i) t (* i t))

rewrite23.0ms

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:
6.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))
7.0ms
(* b (- (* c z) (* t i)))
1.0ms
(fma (- i) t (* i t))

series229.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* j (- (* c a) (* y i)))
69.0ms
(* x (- (* y z) (* t a)))
71.0ms
(* b (- (* c z) (* t i)))
27.0ms
(fma (- i) t (* i t))

simplify65.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0456602
11902532
25001532

prune476.0ms

Filtered
106 candidates to 74 candidates (69.8%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New1051106
Fresh11819
Picked101
Done000
Total10719126

Merged error: 8.6b

Counts
126 → 19

localize28.0ms

Local error

Found 4 expressions with local error:

4.1b
(* b (* c z))
4.6b
(* j (- (* c a) (* y i)))
4.8b
(* x (- (* y z) (* t a)))
5.4b
(* b (- (* t i)))

rewrite24.0ms

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:
5.0ms
(* b (* c z))
6.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* b (- (* t i)))

series187.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* b (* c z))
68.0ms
(* j (- (* c a) (* y i)))
70.0ms
(* x (- (* y z) (* t a)))
25.0ms
(* b (- (* t i)))

simplify71.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0481550
12203483
25002483

prune456.0ms

Filtered
112 candidates to 80 candidates (71.4%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New1075112
Fresh41418
Picked101
Done000
Total11219131

Merged error: 5.0b

Counts
131 → 19

localize23.0ms

Local error

Found 4 expressions with local error:

4.1b
(* b (* c z))
4.6b
(* j (- (* c a) (* y i)))
4.8b
(* x (- (* y z) (* t a)))
4.9b
(* (* b (- t)) i)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
8×pow-prod-down prod-exp cbrt-unprod
6×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg associate-*r/ prod-diff *-commutative log1p-expm1-u add-log-exp
2×flip3-- flip-- unswap-sqr
1×distribute-lft-neg-out distribute-rgt-neg-out
Counts
4 → 97
Calls
4 calls:
5.0ms
(* b (* c z))
6.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* (* b (- t)) i)

series184.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* b (* c z))
67.0ms
(* j (- (* c a) (* y i)))
64.0ms
(* x (- (* y z) (* t a)))
30.0ms
(* (* b (- t)) i)

simplify72.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0507543
12213471
25003471

prune335.0ms

Filtered
109 candidates to 73 candidates (67.0%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New1072109
Fresh21618
Picked101
Done000
Total11018128

Merged error: 4.2b

Counts
128 → 18

regimes1.0s

Accuracy

-8.1% (6.8b remaining)

Error of 13.1b against oracle of 6.3b and baseline of 12.6b

bsearch390.0ms

Steps
ItersRangePoint
10
4.511279036907042e+174
5.657459037265094e+185
1.8551318739179434e+180
11
-4.419459430852613e-162
-7.422887982265039e-187
-3.927746033965821e-162
7
-6.702500371295506e+129
-2.3812518530429817e+128
-6.597776967456576e+129

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08460
110460
211260
311260

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s19138×body80valid