Details

Time bar (total: 11.3s)

sample89.0ms

Algorithm
intervals
Results
62.0ms448×body80valid

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0339
1879
22608
38728
424368
549578
650018

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize22.0ms

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))))
4.8b
(* (- (fma c b a)) (* c i))

rewrite28.0ms

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))))
8.0ms
(* (- (fma c b a)) (* c i))

series931.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(fma x y (* z t))
68.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
748.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
67.0ms
(* (- (fma c b a)) (* c i))

simplify55.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0284526
11170437
25002427

prune335.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize20.0ms

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) (* (- (fma c b a)) (* c i)))
0.4b
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
4.8b
(* (- (fma c b a)) (* c i))

rewrite83.0ms

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)))))
21.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
50.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
8.0ms
(* (- (fma c b a)) (* c i))

series1.7s

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)))))
176.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
288.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
64.0ms
(* (- (fma c b a)) (* c i))

simplify72.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0390870
11708708
25001674

prune412.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize22.0ms

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)))))
0.3b
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
4.8b
(* (- (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))))
152.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
21.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
8.0ms
(* (- (fma c b a)) (* c i))

series1.0s

Counts
4 → 12
Calls
4 calls:
483.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
293.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
177.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
66.0ms
(* (- (fma c b a)) (* c i))

simplify96.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
04591297
121971030
25003975

prune577.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
0.3b
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
0.3b
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
4.8b
(* (- (fma c b a)) (* c i))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
77×pow1 add-exp-log
55×add-cbrt-cube
54×pow-prod-down prod-exp cbrt-unprod
26×associate-*l*
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod sqrt-prod 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 → 131
Calls
4 calls:
54.0ms
(* (cbrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
156.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
18.0ms
(* (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:
768.0ms
(* (cbrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
308.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
176.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
70.0ms
(* (- (fma c b a)) (* c i))

simplify101.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
05081609
123251207
250021068

prune508.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.5b

regimes576.0ms

Accuracy

0% (0.9b remaining)

Error of 1.7b against oracle of 0.8b and baseline of 1.7b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0238
1318
2418
3418

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.0s15018×body80valid