Details

Time bar (total: 7.5s)

sample49.0ms

Algorithm
intervals
Results
22.0ms486×body80valid

simplify120.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0339
1879
22608
38728
424368
549578
650018

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.3b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x y (* z t))
0.0b
(* 2.0 (* (- (fma c b a)) (* c i)))
6.1b
(* (- (fma c b a)) (* c i))

rewrite28.0ms

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:
0.0ms
(fma x y (* z t))
17.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
9.0ms
(* (- (fma c b a)) (* c i))

series183.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(fma x y (* z t))
69.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
68.0ms
(* (- (fma c b a)) (* c i))

simplify48.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0261393
11092327
25001317

prune257.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x y (* z t))
0.4b
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
0.4b
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
6.1b
(* (- (fma c b a)) (* c i))

rewrite87.0ms

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 x y (* z t))
55.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
19.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
9.0ms
(* (- (fma c b a)) (* c i))

series563.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(fma x y (* z t))
283.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
174.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
64.0ms
(* (- (fma c b a)) (* c i))

simplify61.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0363738
11586602
25002578

prune375.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (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)))
6.1b
(* (- (fma c b a)) (* c i))

rewrite249.0ms

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:
55.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
161.0ms
(* (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)))
9.0ms
(* (- (fma c b a)) (* c i))

series977.0ms

Counts
4 → 12
Calls
4 calls:
447.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
294.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
172.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
63.0ms
(* (- (fma c b a)) (* c i))

simplify81.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
04591297
121971030
25003975

prune497.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x y (* z t))
0.3b
(* (sqrt (sqrt 2.0)) (* 1 (* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i))))
0.3b
(* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a)))
6.1b
(* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
94×prod-exp
43×add-cbrt-cube
34×associate-*l*
33×sqrt-prod
32×add-sqr-sqrt
28×cbrt-unprod
23×pow1
17×add-cube-cbrt *-un-lft-identity
13×pow-prod-down
12×unpow-prod-down cube-prod associate-*r*
9×1-exp
8×unswap-sqr
7×pow-to-exp pow-exp
5×distribute-rgt-neg-out
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative fma-udef
2×distribute-lft-neg-out distribute-neg-in sqr-pow
1×distribute-rgt-in cube-mult neg-mul-1 distribute-lft-in unpow3
Counts
4 → 146
Calls
4 calls:
0.0ms
(fma x y (* z t))
199.0ms
(* (sqrt (sqrt 2.0)) (* 1 (* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i))))
23.0ms
(* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a)))
24.0ms
(* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i))

series1.1s

Counts
4 → 12
Calls
4 calls:
41.0ms
(fma x y (* z t))
290.0ms
(* (sqrt (sqrt 2.0)) (* 1 (* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i))))
339.0ms
(* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a)))
468.0ms
(* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i))

simplify130.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
06431638
132471427
250011266

prune528.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 2.1b

regimes376.0ms

Accuracy

0% (0.3b remaining)

Error of 1.9b against oracle of 1.6b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0238
1318
2418
3418

end0.0ms

sample1.4s

Algorithm
intervals
Results
718.0ms15086×body80valid