Details

Time bar (total: 9.3s)

sample127.0ms

Algorithm
intervals
Results
87.0ms620×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* y z) (* t a))
4.1b
(* j (- (* c a) (* y i)))
5.5b
(* b (- (* c z) (* t i)))
5.7b
(* x (- (* y z) (* t a)))

rewrite35.0ms

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

series255.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* y z) (* t a))
66.0ms
(* j (- (* c a) (* y i)))
72.0ms
(* b (- (* c z) (* t i)))
72.0ms
(* x (- (* y z) (* t a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0476643
11969572
25001572

prune537.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.0b

localize27.0ms

Local error

Found 4 expressions with local error:

4.1b
(* j (- (* c a) (* y i)))
5.5b
(* b (- (* c z) (* t i)))
5.7b
(* x (fma y z (- (* a t))))
50.3b
(fma (- a) t (* a t))

rewrite29.0ms

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:
10.0ms
(* j (- (* c a) (* y i)))
13.0ms
(* b (- (* c z) (* t i)))
3.0ms
(* x (fma y z (- (* a t))))
0.0ms
(fma (- a) t (* a t))

series243.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* j (- (* c a) (* y i)))
69.0ms
(* b (- (* c z) (* t i)))
74.0ms
(* x (fma y z (- (* a t))))
27.0ms
(fma (- a) t (* a t))

simplify53.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0410562
11678493
25001493

prune559.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.0b

localize32.0ms

Local error

Found 4 expressions with local error:

5.5b
(* b (- (* c z) (* t i)))
5.7b
(* x (fma y z (- (* a t))))
49.0b
(fma (- i) t (* i t))
50.3b
(fma (- a) t (* a t))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
4×distribute-rgt-in expm1-log1p-u distribute-lft-in fma-udef log1p-expm1-u add-log-exp
2×sub-neg associate-*r/ prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×flip3-- flip--
Counts
4 → 70
Calls
4 calls:
10.0ms
(* b (- (* c z) (* t i)))
3.0ms
(* x (fma y z (- (* a t))))
0.0ms
(fma (- i) t (* i t))
0.0ms
(fma (- a) t (* a t))

series196.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* b (- (* c z) (* t i)))
74.0ms
(* x (fma y z (- (* a t))))
29.0ms
(fma (- i) t (* i t))
27.0ms
(fma (- a) t (* a t))

simplify118.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0276428
11112373
24527373
35001373

prune768.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.0b

localize30.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (fma y z (- (* a t)))))
4.1b
(* j (- (* c a) (* y i)))
5.5b
(* b (- (* c z) (* t i)))
50.3b
(fma (- a) t (* a t))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
10×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
7×associate-*r* associate-*l*
5×fma-udef
4×expm1-log1p-u sub-neg associate-*r/ prod-diff log1p-expm1-u add-log-exp
3×*-commutative
2×flip3-- flip-- unswap-sqr
Counts
4 → 94
Calls
4 calls:
17.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (fma y z (- (* a t)))))
10.0ms
(* j (- (* c a) (* y i)))
10.0ms
(* b (- (* c z) (* t i)))
0.0ms
(fma (- a) t (* a t))

series278.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (fma y z (- (* a t)))))
65.0ms
(* j (- (* c a) (* y i)))
72.0ms
(* b (- (* c z) (* t i)))
32.0ms
(fma (- a) t (* a t))

simplify77.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0495782
11960614
25001568

prune472.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 8.0b

regimes1.4s

Accuracy

2% (3.8b remaining)

Error of 12.0b against oracle of 8.1b and baseline of 12.1b

bsearch187.0ms

Steps
ItersRangePoint
5
1.0290091423414965e-259
3.731676859537291e-259
1.3219369501169688e-259
6
-2.2220753096805243e-184
-1.9177884075299297e-185
-3.6124133271854736e-185

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07374
17574
27574

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.7s19076×body80valid