Details

Time bar (total: 5.1s)

sample53.0ms

Algorithm
intervals
Results
30.0ms400×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (16.0ms)

IterNodesCost
0267
1684
21404
32004
42144
52173
62173

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

2.0b
(fma (fma a b y) z (fma a t x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(fma (fma a b y) z (fma a t x))

simplify64.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
04458
19351
230749
3203249
4500249

prune112.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ x (* y z))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.3b
(* (* a z) b)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
pow1 add-exp-log fma-def add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u log1p-expm1-u
+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
associate-+l+
associate-*l* *-commutative
Counts
4 → 73
Calls
4 calls:
10.0ms
(+ (+ x (* y z)) (* t a))
2.0ms
(+ x (* y z))
43.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
8.0ms
(* (* a z) b)

series64.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (+ x (* y z)) (* t a))
7.0ms
(+ x (* y z))
33.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.0ms
(* (* a z) b)

simplify59.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0358405
11787339
25002330

prune701.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ x (* y z))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
5.6b
(* a (* z b))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
pow1 add-exp-log fma-def add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u log1p-expm1-u
+-commutative flip3-+ associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+
associate-+l+
associate-*r* *-commutative
Counts
4 → 73
Calls
4 calls:
10.0ms
(+ (+ x (* y z)) (* t a))
2.0ms
(+ x (* y z))
43.0ms
(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
6.0ms
(* a (* z b))

series63.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (+ x (* y z)) (* t a))
7.0ms
(+ x (* y z))
32.0ms
(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
7.0ms
(* a (* z b))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0346404
11564338
25001329

prune692.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

6.3b
(* (* a z) b)
6.3b
(* (* a z) b)
11.2b
(sqrt (* (* a z) b))
11.2b
(sqrt (* (* a z) b))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
26×pow1
14×add-exp-log add-cbrt-cube
12×pow-prod-down
add-sqr-sqrt add-cube-cbrt *-un-lft-identity sqrt-pow1 associate-*r* prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/2 associate-*l* sqrt-prod *-commutative
Counts
4 → 68
Calls
4 calls:
6.0ms
(* (* a z) b)
6.0ms
(* (* a z) b)
5.0ms
(sqrt (* (* a z) b))
6.0ms
(sqrt (* (* a z) b))

series41.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* a z) b)
7.0ms
(* (* a z) b)
13.0ms
(sqrt (* (* a z) b))
13.0ms
(sqrt (* (* a z) b))

simplify80.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0118252
1541218
22720218
35001218

prune633.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes843.0ms

Accuracy

50.3% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.9b

bsearch46.0ms

Steps
ItersRangePoint
9
-8.510056983181047e+138
-2.7306038677121855e+131
-1.071371100277623e+138

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02914
12914

end0.0ms

sample1.3s

Algorithm
intervals
Results
873.0ms11862×body80valid