Details

Time bar (total: 7.2s)

sample83.0ms

Algorithm
intervals
Results
48.0ms585×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 13.9b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* y z) (* t a))
5.3b
(* j (- (* c a) (* y i)))
5.4b
(* b (- (* c z) (* t i)))
6.8b
(* x (- (* y z) (* t a)))

rewrite24.0ms

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

series231.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* y z) (* t a))
61.0ms
(* j (- (* c a) (* y i)))
64.0ms
(* b (- (* c z) (* t i)))
67.0ms
(* x (- (* y z) (* t a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0476643
11969572
25001572

prune448.0ms

Filtered
112 candidates to 79 candidates (70.5%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New9418112
Fresh000
Picked101
Done000
Total9518113

Merged error: 9.5b

Counts
113 → 18

localize26.0ms

Local error

Found 4 expressions with local error:

5.3b
(* j (- (* c a) (* y i)))
5.4b
(* b (- (* c z) (* t i)))
6.8b
(* x (- (* y z) (* t a)))
51.2b
(fma (- i) y (* i y))

rewrite21.0ms

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

series223.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* j (- (* c a) (* y i)))
68.0ms
(* b (- (* c z) (* t i)))
62.0ms
(* x (- (* y z) (* t a)))
28.0ms
(fma (- i) y (* i y))

simplify57.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0456602
11902532
25002532

prune459.0ms

Filtered
106 candidates to 74 candidates (69.8%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New1033106
Fresh21517
Picked101
Done000
Total10618124

Merged error: 9.5b

Counts
124 → 18

localize26.0ms

Local error

Found 4 expressions with local error:

5.3b
(* j (- (* c a) (* y i)))
5.4b
(* b (- (* c z) (* t i)))
6.8b
(* x (fma y z (- (* a t))))
49.7b
(fma (- a) t (* a t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
7×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg associate-*r/ prod-diff log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
2×flip3-- flip--
Counts
4 → 88
Calls
4 calls:
8.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* b (- (* c z) (* t i)))
3.0ms
(* x (fma y z (- (* a t))))
1.0ms
(fma (- a) t (* a t))

series222.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* j (- (* c a) (* y i)))
63.0ms
(* b (- (* c z) (* t i)))
69.0ms
(* x (fma y z (- (* a t))))
27.0ms
(fma (- a) t (* a t))

simplify54.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0410562
11678493
25001493

prune400.0ms

Filtered
100 candidates to 68 candidates (68.0%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1000100
Fresh01717
Picked011
Done000
Total10018118

Merged error: 9.5b

Counts
118 → 18

localize23.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (cbrt b) (- (* c z) (* t i)))
2.9b
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
5.3b
(* j (- (* c a) (* y i)))
6.8b
(* x (- (* y z) (* t a)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1 add-exp-log
21×distribute-rgt-in distribute-lft-in
19×add-sqr-sqrt
15×add-cbrt-cube
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
10×sub-neg associate-*r/ associate-*r* prod-diff
4×cbrt-prod expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp unswap-sqr
Counts
4 → 126
Calls
4 calls:
7.0ms
(* (cbrt b) (- (* c z) (* t i)))
12.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
6.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))

series475.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(* (cbrt b) (- (* c z) (* t i)))
93.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
62.0ms
(* j (- (* c a) (* y i)))
64.0ms
(* x (- (* y z) (* t a)))

simplify87.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06631142
12955910
25001834

prune428.0ms

Filtered
138 candidates to 90 candidates (65.2%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1344138
Fresh01616
Picked101
Done011
Total13521156

Merged error: 8.0b

Counts
156 → 21

regimes1.1s

Accuracy

-1.8% (5.0b remaining)

Error of 12.5b against oracle of 7.6b and baseline of 12.5b

bsearch185.0ms

Steps
ItersRangePoint
7
3.1180525438786973e-158
1.786571415377957e-156
8.532908927995377e-157
8
-2.859257817586201e-188
-5.602160096455605e-191
-1.4198310397800835e-189

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06431
17331
27931
37931

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s18730×body80valid