Details

Time bar (total: 9.5s)

sample47.0ms

Algorithm
intervals
Results
21.0ms491×body80valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0339
1879
22608
38728
424368
549578
650018

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize17.0ms

Local error

Found 3 expressions with local error:

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))))
6.0b
(* (- (fma c b a)) (* c i))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
13×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in log1p-expm1-u add-log-exp
2×distribute-lft-neg-out associate-*r* *-commutative
1×neg-mul-1 distribute-rgt-neg-out fma-udef
Counts
3 → 62
Calls
3 calls:
16.0ms
(* 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))

series789.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
643.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
59.0ms
(* (- (fma c b a)) (* c i))

simplify40.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0270485
11123401
25001391

prune231.0ms

Filtered
71 candidates to 48 candidates (67.6%)
Pruning

7 alts after pruning (7 fresh and 0 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))))
6.0b
(* (- (fma c b a)) (* c i))

rewrite81.0ms

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)))))
18.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
49.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
8.0ms
(* (- (fma c b a)) (* c i))

series1.5s

Counts
4 → 12
Calls
4 calls:
992.0ms
(fma 2.0 (fma x y (* z t)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
157.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
258.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
55.0ms
(* (- (fma c b a)) (* c i))

simplify59.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0390870
11708708
25001674

prune368.0ms

Filtered
107 candidates to 67 candidates (62.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
0.2b
(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
0.3b
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
6.0b
(* (- (fma c b a)) (* c i))

rewrite235.0ms

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:
149.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
54.0ms
(* (sqrt (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))

series881.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
413.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
156.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
58.0ms
(* (- (fma c b a)) (* c i))

simplify77.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
04591297
121971030
25003975

prune496.0ms

Filtered
136 candidates to 84 candidates (61.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 2.0 (fma x y (* z t)) (* (sqrt (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (pow (sqrt (sqrt 2.0)) 3)) (* (- (fma c b a)) (* c i)))))
0.2b
(* (sqrt (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (pow (sqrt (sqrt 2.0)) 3)) (* (- (fma c b a)) (* c i))))
0.2b
(* (* (sqrt (sqrt (sqrt 2.0))) (pow (sqrt (sqrt 2.0)) 3)) (* (- (fma c b a)) (* c i)))
6.0b
(* (- (fma c b a)) (* c i))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
107×add-exp-log
82×prod-exp
59×add-cbrt-cube
40×cbrt-unprod
32×pow1
23×associate-*l*
19×pow-prod-down
18×sqrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-to-exp pow-exp
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 → 120
Calls
4 calls:
0.0ms
(fma 2.0 (fma x y (* z t)) (* (sqrt (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (pow (sqrt (sqrt 2.0)) 3)) (* (- (fma c b a)) (* c i)))))
139.0ms
(* (sqrt (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (pow (sqrt (sqrt 2.0)) 3)) (* (- (fma c b a)) (* c i))))
48.0ms
(* (* (sqrt (sqrt (sqrt 2.0))) (pow (sqrt (sqrt 2.0)) 3)) (* (- (fma c b a)) (* c i)))
8.0ms
(* (- (fma c b a)) (* c i))

series2.1s

Counts
4 → 12
Calls
4 calls:
1.0s
(fma 2.0 (fma x y (* z t)) (* (sqrt (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (pow (sqrt (sqrt 2.0)) 3)) (* (- (fma c b a)) (* c i)))))
261.0ms
(* (sqrt (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (pow (sqrt (sqrt 2.0)) 3)) (* (- (fma c b a)) (* c i))))
772.0ms
(* (* (sqrt (sqrt (sqrt 2.0))) (pow (sqrt (sqrt 2.0)) 3)) (* (- (fma c b a)) (* c i)))
57.0ms
(* (- (fma c b a)) (* c i))

simplify91.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05361983
124771465
250021254

prune436.0ms

Filtered
132 candidates to 73 candidates (55.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes413.0ms

Accuracy

0% (1.7b remaining)

Error of 2.0b against oracle of 0.3b and baseline of 2.0b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02915
13715
24915
36615
46815
56815

end0.0ms

sample1.3s

Algorithm
intervals
Results
680.0ms15150×body80valid