Details

Time bar (total: 10.4s)

sample129.0ms

Algorithm
intervals
Results
90.0ms629×body80valid

simplify96.0ms

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: 13.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (* y z) (* t a))
3.7b
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
5.6b
(* b (- (* c z) (* i a)))
7.2b
(* x (- (* y z) (* t a)))

rewrite24.0ms

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
(- (* y z) (* t a))
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)))

series770.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* y z) (* t a))
582.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
72.0ms
(* b (- (* c z) (* i a)))
73.0ms
(* x (- (* y z) (* t a)))

simplify49.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0373645
11485568
25001568

prune462.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.5b

localize26.0ms

Local error

Found 4 expressions with local error:

5.6b
(* b (- (* c z) (* i a)))
8.4b
(cbrt (- (* y z) (* t a)))
8.4b
(cbrt (- (* y z) (* t a)))
8.4b
(cbrt (- (* y z) (* t a)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div add-cbrt-cube
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in pow1/3 associate-*r* associate-*l*
2×sub-neg associate-*r/ prod-diff
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 73
Calls
4 calls:
10.0ms
(* b (- (* c z) (* i a)))
2.0ms
(cbrt (- (* y z) (* t a)))
2.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))

series469.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* b (- (* c z) (* i a)))
129.0ms
(cbrt (- (* y z) (* t a)))
129.0ms
(cbrt (- (* y z) (* t a)))
134.0ms
(cbrt (- (* y z) (* t a)))

simplify116.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0336646
11159598
24181580
35001580

prune508.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.5b

localize39.0ms

Local error

Found 4 expressions with local error:

8.4b
(cbrt (- (* y z) (* t a)))
8.4b
(cbrt (- (* y z) (* t a)))
8.4b
(cbrt (- (* y z) (* t a)))
8.4b
(cbrt (- (* y z) (* t a)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
4.0ms
(cbrt (- (* y z) (* t a)))
4.0ms
(cbrt (- (* y z) (* t a)))
4.0ms
(cbrt (- (* y z) (* t a)))
4.0ms
(cbrt (- (* y z) (* t a)))

series503.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (- (* y z) (* t a)))
124.0ms
(cbrt (- (* y z) (* t a)))
124.0ms
(cbrt (- (* y z) (* t a)))
125.0ms
(cbrt (- (* y z) (* t a)))

simplify104.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (97.0ms)

IterNodesCost
0189616
1542580
21637556
33884552
45001540

prune555.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 4.5b

localize24.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (cbrt b) (- (* c z) (* i a)))
3.3b
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
3.7b
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))))
7.2b
(* x (- (* y z) (* t a)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log
18×distribute-rgt-in distribute-lft-in
15×add-sqr-sqrt
13×add-cbrt-cube
10×associate-*l* pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
8×sub-neg associate-*r/ prod-diff
7×associate-*r*
4×cbrt-prod expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- *-commutative flip-- unswap-sqr
1×fma-udef
Counts
4 → 108
Calls
4 calls:
11.0ms
(* (cbrt b) (- (* c z) (* i a)))
28.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
0.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))))
10.0ms
(* x (- (* y z) (* t a)))

series1.2s

Counts
4 → 12
Calls
4 calls:
299.0ms
(* (cbrt b) (- (* c z) (* i a)))
118.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
699.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))))
71.0ms
(* x (- (* y z) (* t a)))

simplify80.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
05591204
12479956
25003877

prune477.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.5b

regimes815.0ms

Accuracy

-2.7% (7.3b remaining)

Error of 12.6b against oracle of 5.3b and baseline of 12.4b

bsearch325.0ms

Steps
ItersRangePoint
8
5.547902844096734e+142
6.559931041703192e+145
3.241757727781201e+143
11
-6.6613309156198935e+81
-2.7763509787006124e+53
-6.573971523973346e+81

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05431
15431

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.6s18700×body80valid