Details

Time bar (total: 2.2s)

sample16.0ms

Algorithm
intervals
Results
7.0ms274×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize10.0ms

Local error

Found 2 expressions with local error:

2.8b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.6b
(* y (+ 1.0 (* z z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 74
Calls
2 calls:
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
50.0ms
(* y (+ 1.0 (* z z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0416531
12028428
25001420

prune180.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.0b

localize7.0ms

Local error

Found 2 expressions with local error:

2.8b
(/ (/ 1.0 x) (* y (fma z z 1.0)))
4.6b
(* y (fma z z 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×expm1-log1p-u fma-udef log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
6.0ms
(/ (/ 1.0 x) (* y (fma z z 1.0)))
4.0ms
(* y (fma z z 1.0))

series113.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (/ 1.0 x) (* y (fma z z 1.0)))
55.0ms
(* y (fma z z 1.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0346422
11606366
25002366

prune168.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.8b
(/ (/ 1 1) (/ (* (* y (fma z z 1.0)) x) 1.0))
2.4b
(* (* y (fma z z 1.0)) x)
4.6b
(* y (fma z z 1.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
205×times-frac
104×add-exp-log
92×add-sqr-sqrt
90×add-cube-cbrt *-un-lft-identity
65×div-exp
42×add-cbrt-cube
25×prod-exp
23×div-inv
20×1-exp
18×cbrt-undiv
13×associate-/l*
10×pow1 cbrt-unprod
8×rec-exp
7×associate-/r*
6×associate-*r*
4×associate-*l* pow-prod-down
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×*-commutative fma-udef
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r/ associate-/l/ unswap-sqr
Counts
3 → 203
Calls
3 calls:
11.0ms
(/ (/ 1 1) (/ (* (* y (fma z z 1.0)) x) 1.0))
5.0ms
(* (* y (fma z z 1.0)) x)
4.0ms
(* y (fma z z 1.0))

series165.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ (/ 1 1) (/ (* (* y (fma z z 1.0)) x) 1.0))
45.0ms
(* (* y (fma z z 1.0)) x)
55.0ms
(* y (fma z z 1.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010601795
150011542

prune237.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (* y (fma z z 1.0)))
2.6b
(/ (/ 1 (* y (fma z z 1.0))) x)
4.6b
(* y (fma z z 1.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-exp-log
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×add-cbrt-cube
15×div-exp
10×associate-/l*
8×pow1
7×cbrt-undiv prod-exp
6×div-inv
4×rec-exp 1-exp associate-/r*
3×expm1-log1p-u associate-*r* associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×pow-flip frac-2neg pow-prod-down clear-num fma-udef
1×distribute-rgt-in distribute-lft-in *-commutative associate-/l/ inv-pow unswap-sqr
Counts
3 → 106
Calls
3 calls:
4.0ms
(/ 1 (* y (fma z z 1.0)))
7.0ms
(/ (/ 1 (* y (fma z z 1.0))) x)
4.0ms
(* y (fma z z 1.0))

series158.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ 1 (* y (fma z z 1.0)))
54.0ms
(/ (/ 1 (* y (fma z z 1.0))) x)
51.0ms
(* y (fma z z 1.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0403653
12037578
25001558

prune202.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.0b

regimes132.0ms

Accuracy

0% (1.6b remaining)

Error of 6.5b against oracle of 4.9b and baseline of 6.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample405.0ms

Algorithm
intervals
Results
239.0ms8669×body80valid