Details

Time bar (total: 9.5s)

sample57.0ms

Algorithm
intervals
Results
28.0ms495×body80valid

simplify124.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0339
1879
22608
38728
424368
549578
650018

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x y (* z t))
0.0b
(* 2.0 (* (- (fma c b a)) (* c i)))
0.0b
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
4.9b
(* (- (fma c b a)) (* c i))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
13×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×distribute-lft-neg-out associate-*r* *-commutative fma-udef
1×neg-mul-1 distribute-rgt-neg-out
Counts
4 → 72
Calls
4 calls:
0.0ms
(fma x y (* z t))
17.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
0.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
9.0ms
(* (- (fma c b a)) (* c i))

series1.0s

Counts
4 → 12
Calls
4 calls:
47.0ms
(fma x y (* z t))
87.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
822.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
76.0ms
(* (- (fma c b a)) (* c i))

simplify56.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0284526
11170437
25002427

prune341.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (* (- (fma c b a)) (* c i)))
0.0b
(fma t z (* x y))
0.0b
(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
4.9b
(* (- (fma c b a)) (* c i))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
13×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×distribute-lft-neg-out associate-*r* *-commutative fma-udef
1×neg-mul-1 distribute-rgt-neg-out
Counts
4 → 72
Calls
4 calls:
20.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
0.0ms
(fma t z (* x y))
0.0ms
(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
9.0ms
(* (- (fma c b a)) (* c i))

series906.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
50.0ms
(fma t z (* x y))
723.0ms
(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
61.0ms
(* (- (fma c b a)) (* c i))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0282526
11164437
25001427

prune316.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 2.0 (fma x y (* z t)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
0.3b
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
0.4b
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
4.9b
(* (- (fma c b a)) (* c i))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log add-cbrt-cube
22×associate-*l*
19×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in associate-*r* *-commutative distribute-rgt-neg-out
1×neg-mul-1 fma-udef
Counts
4 → 95
Calls
4 calls:
0.0ms
(fma 2.0 (fma x y (* z t)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
50.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
19.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
12.0ms
(* (- (fma c b a)) (* c i))

series1.6s

Counts
4 → 12
Calls
4 calls:
1.1s
(fma 2.0 (fma x y (* z t)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
287.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
176.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
66.0ms
(* (- (fma c b a)) (* c i))

simplify63.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0390870
11708708
25001674

prune405.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
0.3b
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
0.4b
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
4.9b
(* (- (fma c b a)) (* c i))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1 add-exp-log add-cbrt-cube
34×associate-*l* pow-prod-down prod-exp cbrt-unprod
21×sqrt-prod
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×distribute-rgt-neg-out
4×distribute-lft-neg-out expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
1×neg-mul-1
Counts
4 → 124
Calls
4 calls:
54.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
155.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
19.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
8.0ms
(* (- (fma c b a)) (* c i))

series1.3s

Counts
4 → 12
Calls
4 calls:
770.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
307.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
179.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
61.0ms
(* (- (fma c b a)) (* c i))

simplify96.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
04591297
121971030
25003975

prune530.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.0b

regimes648.0ms

Accuracy

0% (1.2b remaining)

Error of 2.0b against oracle of 0.8b and baseline of 2.0b

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02915
13715
25515
36615
46815
56815

end0.0ms

sample1.5s

Algorithm
intervals
Results
786.0ms15237×body80valid