Details

Time bar (total: 9.5s)

sample116.0ms

Algorithm
intervals
Results
82.0ms589×body80valid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c t) (* i y))
4.1b
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
6.0b
(* b (- (* c z) (* i a)))
7.4b
(* x (- (* y z) (* t a)))

rewrite25.0ms

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:
3.0ms
(- (* c t) (* i y))
0.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
10.0ms
(* b (- (* c z) (* i a)))
10.0ms
(* x (- (* y z) (* t a)))

series735.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* c t) (* i y))
561.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
62.0ms
(* b (- (* c z) (* i a)))
68.0ms
(* x (- (* y z) (* t a)))

simplify54.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0423646
11659568
25001568

prune462.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c t) (* i y))
5.4b
(* (- (* c t) (* i y)) j)
6.0b
(* b (- (* c z) (* i a)))
7.4b
(* x (- (* y z) (* t a)))

rewrite36.0ms

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*
6×distribute-rgt-in distribute-lft-in add-log-exp
5×sub-neg prod-diff
4×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×associate-*l/
1×fma-neg diff-log
Counts
4 → 94
Calls
4 calls:
3.0ms
(- (* c t) (* i y))
9.0ms
(* (- (* c t) (* i y)) j)
10.0ms
(* b (- (* c z) (* i a)))
12.0ms
(* x (- (* y z) (* t a)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* c t) (* i y))
57.0ms
(* (- (* c t) (* i y)) j)
63.0ms
(* b (- (* c z) (* i a)))
66.0ms
(* x (- (* y z) (* t a)))

simplify54.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0464607
11799536
25001536

prune475.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 4.7b

localize22.0ms

Local error

Found 4 expressions with local error:

5.4b
(* (- (* c t) (* i y)) j)
6.0b
(* x (* y z))
6.0b
(* b (- (* c z) (* i a)))
6.6b
(* x (- (* t a)))

rewrite35.0ms

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×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in unswap-sqr
2×sub-neg flip3-- associate-*r/ prod-diff associate-*l/ flip--
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out
Counts
4 → 94
Calls
4 calls:
12.0ms
(* (- (* c t) (* i y)) j)
6.0ms
(* x (* y z))
10.0ms
(* b (- (* c z) (* i a)))
4.0ms
(* x (- (* t a)))

series175.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (- (* c t) (* i y)) j)
23.0ms
(* x (* y z))
66.0ms
(* b (- (* c z) (* i a)))
27.0ms
(* x (- (* t a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0456514
12020447
25001447

prune499.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 3.2b

localize22.0ms

Local error

Found 4 expressions with local error:

5.4b
(* (- (* c t) (* i y)) j)
5.8b
(* a (* x t))
6.0b
(* x (* y z))
6.0b
(* b (- (* c z) (* i a)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l*
10×add-cube-cbrt *-un-lft-identity
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in
2×sub-neg flip3-- associate-*r/ prod-diff associate-*l/ flip-- unswap-sqr
Counts
4 → 90
Calls
4 calls:
9.0ms
(* (- (* c t) (* i y)) j)
6.0ms
(* a (* x t))
6.0ms
(* x (* y z))
11.0ms
(* b (- (* c z) (* i a)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (- (* c t) (* i y)) j)
26.0ms
(* a (* x t))
23.0ms
(* x (* y z))
67.0ms
(* b (- (* c z) (* i a)))

simplify53.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0452482
11761410
25002410

prune587.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 2.7b

regimes1.2s

Accuracy

16% (8.3b remaining)

Error of 11.5b against oracle of 3.2b and baseline of 13.1b

bsearch769.0ms

Steps
ItersRangePoint
10
5.076658380312844e+120
9.405366027109917e+130
1.84320926746677e+126
8
3.628609651631337e+57
3.370022517877978e+61
1.0546110000475079e+61
6
-4.953767944001432e-69
-9.129036507759068e-70
-4.027477462083386e-69
10
-4.50174411592366e+26
-1285523271281.5593
-3.195177048475669e+23
9
-3.7641371487341367e+186
-1.0321486846366846e+179
-6.268561929978133e+185

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0116108
1134108
2143108
3143108

end0.0ms

sample3.6s

Algorithm
intervals
Results
2.7s18903×body80valid