Details

Time bar (total: 8.3s)

sample61.0ms

Algorithm
intervals
Results
21.0ms518×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0339
1879
22608
38728
424368
549578
650018

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize15.0ms

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))))
5.8b
(* (- (fma c b a)) (* c i))

rewrite64.0ms

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:
43.0ms
(* 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))))
19.0ms
(* (- (fma c b a)) (* c i))

series749.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
637.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
52.0ms
(* (- (fma c b a)) (* c i))

simplify43.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0270485
11123401
25001391

prune231.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.5b

localize22.0ms

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)))))
0.4b
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
0.4b
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
5.8b
(* (- (fma c b a)) (* c i))

rewrite196.0ms

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)))))
58.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
116.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
19.0ms
(* (- (fma c b a)) (* c i))

series1.4s

Counts
4 → 12
Calls
4 calls:
963.0ms
(fma 2.0 (fma x y (* z t)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
143.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
234.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
51.0ms
(* (- (fma c b a)) (* c i))

simplify67.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0390870
11708708
25001674

prune356.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.5b

localize18.0ms

Local error

Found 4 expressions with local error:

2.2b
(cbrt (- (fma c b a)))
2.2b
(cbrt (- (fma c b a)))
2.2b
(cbrt (- (fma c b a)))
2.3b
(* (cbrt (- (fma c b a))) (* c i))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-prod
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-*l*
12×distribute-lft-neg-in distribute-rgt-neg-in
9×pow1 add-exp-log
7×add-cbrt-cube
4×expm1-log1p-u neg-mul-1 log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 90
Calls
4 calls:
2.0ms
(cbrt (- (fma c b a)))
2.0ms
(cbrt (- (fma c b a)))
2.0ms
(cbrt (- (fma c b a)))
24.0ms
(* (cbrt (- (fma c b a))) (* c i))

series741.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt (- (fma c b a)))
166.0ms
(cbrt (- (fma c b a)))
154.0ms
(cbrt (- (fma c b a)))
254.0ms
(* (cbrt (- (fma c b a))) (* c i))

simplify70.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0247643
1698605
22503579
35002579

prune502.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 1.5b

localize20.0ms

Local error

Found 4 expressions with local error:

5.8b
(* (- (fma c b a)) (* c i))
11.0b
(cbrt (* (- (fma c b a)) (* c i)))
11.0b
(cbrt (* (- (fma c b a)) (* c i)))
11.0b
(cbrt (* (- (fma c b a)) (* c i)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l*
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod distribute-lft-neg-in distribute-rgt-neg-in pow1/3 pow-prod-down prod-exp cbrt-unprod
1×distribute-lft-neg-out neg-mul-1 associate-*r* *-commutative
Counts
4 → 61
Calls
4 calls:
18.0ms
(* (- (fma c b a)) (* c i))
11.0ms
(cbrt (* (- (fma c b a)) (* c i)))
14.0ms
(cbrt (* (- (fma c b a)) (* c i)))
11.0ms
(cbrt (* (- (fma c b a)) (* c i)))

series620.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (- (fma c b a)) (* c i))
193.0ms
(cbrt (* (- (fma c b a)) (* c i)))
185.0ms
(cbrt (* (- (fma c b a)) (* c i)))
183.0ms
(cbrt (* (- (fma c b a)) (* c i)))

simplify119.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0253495
1882441
24363417
35001417

prune365.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 1.5b

regimes763.0ms

Accuracy

0% (1.2b remaining)

Error of 2.1b against oracle of 0.9b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0238
1318
2418
3418

end0.0ms

sample1.6s

Algorithm
intervals
Results
638.0ms15162×body80valid