Details

Time bar (total: 3.4s)

sample31.0ms

Algorithm
intervals
Results
13.0ms369×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (15.0ms)

IterNodesCost
0267
1684
21404
32004
42144
52173
62173

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.7b
(* (* a z) b)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
9×sum-log
8×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt fma-def *-un-lft-identity
3×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×+-commutative associate-+l+ flip3-+ flip-+
1×associate-*l* *-commutative
Counts
3 → 57
Calls
3 calls:
11.0ms
(+ (+ x (* y z)) (* t a))
44.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.0ms
(* (* a z) b)

series162.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(+ (+ x (* y z)) (* t a))
83.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
31.0ms
(* (* a z) b)

simplify51.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0298352
11535295
25001285

prune216.0ms

Filtered
66 candidates to 51 candidates (77.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
4.9b
(* a (* z b))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
9×sum-log
8×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt fma-def *-un-lft-identity
3×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×+-commutative associate-+l+ flip3-+ flip-+
1×associate-*r* *-commutative
Counts
3 → 57
Calls
3 calls:
11.0ms
(+ (+ x (* y z)) (* t a))
45.0ms
(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
6.0ms
(* a (* z b))

series158.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (+ x (* y z)) (* t a))
85.0ms
(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
28.0ms
(* a (* z b))

simplify49.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0286351
11309294
25002284

prune192.0ms

Filtered
66 candidates to 49 candidates (74.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt b)
0.7b
(cbrt b)
1.4b
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.4b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 82
Calls
4 calls:
0.0ms
(cbrt b)
1.0ms
(cbrt b)
56.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
15.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series537.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt b)
194.0ms
(cbrt b)
46.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
110.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify51.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0264571
11326416
25002367

prune288.0ms

Filtered
94 candidates to 62 candidates (66.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

3.1b
(fma (fma a b y) z (fma a t x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (fma a b y) z (fma a t x))

series92.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(fma (fma a b y) z (fma a t x))

simplify59.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
04458
19351
230749
3203249
4500249

prune45.0ms

Filtered
13 candidates to 12 candidates (92.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes289.0ms

Accuracy

69.7% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.9b

bsearch94.0ms

Steps
ItersRangePoint
5
2.385035643908921e-136
6.599940360459666e-136
3.7182254012398825e-136
9
-1.1946515308057995e+166
-1.3881107732405181e+160
-2.3683211863065988e+160

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03210
13210

end0.0ms

sample847.0ms

Algorithm
intervals
Results
437.0ms11806×body80valid