Details

Time bar (total: 7.5s)

sample112.0ms

Algorithm
intervals
Results
59.0ms626×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune11.0ms

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: 14.1b

Counts
2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* c t) (* i y))
5.1b
(* b (- (* c z) (* i a)))
6.1b
(* j (- (* c t) (* i y)))
6.4b
(* 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
(- (* c t) (* i y))
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* j (- (* c t) (* i y)))
6.0ms
(* x (- (* y z) (* t a)))

series252.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* c t) (* i y))
70.0ms
(* b (- (* c z) (* i a)))
67.0ms
(* j (- (* c t) (* i y)))
73.0ms
(* x (- (* y z) (* t a)))

simplify58.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0478643
11975572
25002572

prune752.0ms

Filtered
112 candidates to 82 candidates (73.2%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New8923112
Fresh011
Picked101
Done000
Total9024114

Merged error: 9.9b

Counts
114 → 24

localize28.0ms

Local error

Found 4 expressions with local error:

5.1b
(* b (- (* c z) (* i a)))
6.1b
(* j (- (* c t) (* i y)))
6.4b
(* x (fma y z (- (* a t))))
47.6b
(fma (- a) t (* a t))

rewrite18.0ms

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:
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* j (- (* c t) (* i y)))
4.0ms
(* x (fma y z (- (* a t))))
1.0ms
(fma (- a) t (* a t))

series252.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* b (- (* c z) (* i a)))
73.0ms
(* j (- (* c t) (* i y)))
78.0ms
(* x (fma y z (- (* a t))))
28.0ms
(fma (- a) t (* a t))

simplify55.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0412562
11685493
25001493

prune591.0ms

Filtered
100 candidates to 71 candidates (71.0%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New8317100
Fresh16723
Picked101
Done000
Total10024124

Merged error: 9.9b

Counts
124 → 24

localize33.0ms

Local error

Found 4 expressions with local error:

5.4b
(* b (- (* i a)))
6.1b
(* j (- (* c t) (* i y)))
6.4b
(* x (fma y z (- (* a t))))
47.6b
(fma (- a) t (* a t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×associate-*r*
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*l*
4×distribute-rgt-in expm1-log1p-u distribute-lft-in log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
2×sub-neg associate-*r/ prod-diff
1×distribute-lft-neg-in neg-mul-1 flip3-- distribute-rgt-neg-in distribute-rgt-neg-out flip--
Counts
4 → 84
Calls
4 calls:
5.0ms
(* b (- (* i a)))
6.0ms
(* j (- (* c t) (* i y)))
4.0ms
(* x (fma y z (- (* a t))))
1.0ms
(fma (- a) t (* a t))

series211.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* b (- (* i a)))
75.0ms
(* j (- (* c t) (* i y)))
82.0ms
(* x (fma y z (- (* a t))))
28.0ms
(fma (- a) t (* a t))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0362485
11608427
25001426

prune630.0ms

Filtered
96 candidates to 74 candidates (77.1%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New841296
Fresh111223
Picked101
Done000
Total9624120

Merged error: 8.7b

Counts
120 → 24

localize28.0ms

Local error

Found 4 expressions with local error:

5.0b
(* a (* i b))
6.1b
(* j (- (* c t) (* i y)))
6.4b
(* x (fma y z (- (* a t))))
47.6b
(fma (- a) t (* a t))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity associate-*l*
7×associate-*r*
5×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in expm1-log1p-u distribute-lft-in log1p-expm1-u add-log-exp
3×*-commutative fma-udef
2×sub-neg associate-*r/ prod-diff unswap-sqr
1×flip3-- flip--
Counts
4 → 80
Calls
4 calls:
5.0ms
(* a (* i b))
6.0ms
(* j (- (* c t) (* i y)))
4.0ms
(* x (fma y z (- (* a t))))
1.0ms
(fma (- a) t (* a t))

series205.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* a (* i b))
74.0ms
(* j (- (* c t) (* i y)))
71.0ms
(* x (fma y z (- (* a t))))
31.0ms
(fma (- a) t (* a t))

simplify52.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0354453
11393390
25002390

prune456.0ms

Filtered
92 candidates to 65 candidates (70.7%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New781492
Fresh111223
Picked101
Done000
Total9026116

Merged error: 8.4b

Counts
116 → 26

regimes1.5s

Accuracy

0% (5.2b remaining)

Error of 12.5b against oracle of 7.3b and baseline of 12.5b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05626
16526
27026
37026

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s18697×body80valid