Details

Time bar (total: 9.0s)

sample55.0ms

Algorithm
intervals
Results
26.0ms503×body80valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0339
1879
22608
38728
424368
549578
650018

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (* (- (fma c b a)) (* c i)))
0.0b
(fma x y (* z t))
0.0b
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
4.5b
(* (- (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:
18.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
0.0ms
(fma x y (* z t))
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))

series951.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
49.0ms
(fma x y (* z t))
763.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
69.0ms
(* (- (fma c b a)) (* c i))

simplify54.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0284526
11170437
25002427

prune337.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize17.0ms

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))))
4.5b
(* (- (fma c b a)) (* c i))

rewrite32.0ms

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))

series1.2s

Counts
4 → 12
Calls
4 calls:
308.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
53.0ms
(fma t z (* x y))
762.0ms
(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
65.0ms
(* (- (fma c b a)) (* c i))

simplify55.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0282526
11164437
25001427

prune332.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(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))))
4.5b
(* (- (fma c b a)) (* c i))

rewrite86.0ms

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)))))
19.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
52.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
12.0ms
(* (- (fma c b a)) (* c i))

series1.7s

Counts
4 → 12
Calls
4 calls:
1.2s
(fma 2.0 (fma x y (* z t)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
179.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
286.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
68.0ms
(* (- (fma c b a)) (* c i))

simplify70.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0390870
11708708
25001674

prune417.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.0b

localize21.0ms

Local error

Found 4 expressions with local error:

4.5b
(* (- (fma c b a)) (* c i))
10.5b
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
10.5b
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
10.5b
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))

rewrite53.0ms

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:
8.0ms
(* (- (fma c b a)) (* c i))
14.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
14.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
14.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))

series796.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (- (fma c b a)) (* c i))
241.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
238.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
243.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))

simplify137.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0261534
1911474
24510450
35001450

prune406.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 1.0b

regimes675.0ms

Accuracy

0% (0.9b remaining)

Error of 1.6b against oracle of 0.7b and baseline of 1.6b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0238
1318
2418
3418

end0.0ms

sample1.4s

Algorithm
intervals
Results
727.0ms15160×body80valid