Details

Time bar (total: 8.3s)

sample73.0ms

Algorithm
intervals
Results
38.0ms595×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
4.5b
(* j (- (* c a) (* y i)))
6.0b
(* b (- (* c z) (* t i)))
6.1b
(* x (- (* y z) (* t a)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×distribute-rgt-in distribute-lft-in
14×associate-*r/
11×sub-neg prod-diff
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
8×flip3-- flip--
6×associate--l+ associate--r+ add-log-exp
4×expm1-log1p-u frac-sub log1p-expm1-u
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log
Counts
4 → 116
Calls
4 calls:
16.0ms
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
10.0ms
(* j (- (* c a) (* y i)))
10.0ms
(* b (- (* c z) (* t i)))
10.0ms
(* x (- (* y z) (* t a)))

series466.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
73.0ms
(* j (- (* c a) (* y i)))
73.0ms
(* b (- (* c z) (* t i)))
72.0ms
(* x (- (* y z) (* t a)))

simplify96.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
06831032
13146951
25001947

prune631.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 4.5b

localize26.0ms

Local error

Found 4 expressions with local error:

4.5b
(* j (- (* c a) (* y i)))
6.0b
(* b (- (* c z) (* t i)))
6.1b
(* x (- (* y z) (* t a)))
50.0b
(fma (- i) y (* i y))

rewrite37.0ms

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:
10.0ms
(* j (- (* c a) (* y i)))
10.0ms
(* b (- (* c z) (* t i)))
14.0ms
(* x (- (* y z) (* t a)))
0.0ms
(fma (- i) y (* i y))

series254.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* j (- (* c a) (* y i)))
80.0ms
(* b (- (* c z) (* t i)))
79.0ms
(* x (- (* y z) (* t a)))
28.0ms
(fma (- i) y (* i y))

simplify56.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0456602
11902532
25002532

prune586.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 4.5b

localize37.0ms

Local error

Found 4 expressions with local error:

6.0b
(* b (- (* c z) (* t i)))
6.1b
(* x (- (* y z) (* t a)))
45.3b
(fma (- i) t (* i t))
50.0b
(fma (- i) y (* i y))

rewrite23.0ms

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*
4×expm1-log1p-u sub-neg associate-*r/ prod-diff log1p-expm1-u add-log-exp
2×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
4 → 76
Calls
4 calls:
10.0ms
(* b (- (* c z) (* t i)))
10.0ms
(* x (- (* y z) (* t a)))
0.0ms
(fma (- i) t (* i t))
0.0ms
(fma (- i) y (* i y))

series201.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* b (- (* c z) (* t i)))
73.0ms
(* x (- (* y z) (* t a)))
25.0ms
(fma (- i) t (* i t))
30.0ms
(fma (- i) y (* i y))

simplify47.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0333468
11345412
25001412

prune598.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.5b

localize24.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
3.2b
(* (cbrt b) (- (* c z) (* t i)))
4.5b
(* j (- (* c a) (* y i)))
6.1b
(* x (- (* y z) (* t a)))

rewrite66.0ms

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:
31.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
11.0ms
(* (cbrt b) (- (* c z) (* t i)))
10.0ms
(* j (- (* c a) (* y i)))
10.0ms
(* x (- (* y z) (* t a)))

series551.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
296.0ms
(* (cbrt b) (- (* c z) (* t i)))
68.0ms
(* j (- (* c a) (* y i)))
77.0ms
(* x (- (* y z) (* t a)))

simplify99.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06631142
12957910
25003834

prune757.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 4.5b

regimes1.3s

Accuracy

16.2% (6.6b remaining)

Error of 11.7b against oracle of 5.0b and baseline of 12.9b

bsearch168.0ms

Steps
ItersRangePoint
3
2.653465822228568e-162
3.635204067846e-162
2.837541743281836e-162
10
-1.9789810449412024e-28
-3.4251278494429124e-46
-5.870291246366873e-46

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07460
17860
28460
38460

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s19233×body80valid