Details

Time bar (total: 3.1s)

sample19.0ms

Algorithm
intervals
Results
10.0ms282×body80valid

simplify13.0ms

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: 5.0b

localize7.0ms

Local error

Found 2 expressions with local error:

2.9b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
3.8b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 266
Calls
2 calls:
15.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
5.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series129.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
63.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
011482808
146382733
250022733

prune794.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
2.6b
(* y (* (fma z z 1.0) x))
3.8b
(* (fma z z 1.0) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
31×times-frac add-cbrt-cube
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
15×div-exp
13×prod-exp associate-/l*
10×pow1 cbrt-unprod
9×cbrt-undiv
6×associate-*l*
4×associate-*r* pow-prod-down
3×expm1-log1p-u 1-exp log1p-expm1-u div-inv add-log-exp
2×*-commutative
1×frac-2neg clear-num associate-/r* associate-/l/ unswap-sqr
Counts
3 → 95
Calls
3 calls:
17.0ms
(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
8.0ms
(* y (* (fma z z 1.0) x))
3.0ms
(* (fma z z 1.0) x)

series176.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
46.0ms
(* y (* (fma z z 1.0) x))
60.0ms
(* (fma z z 1.0) x)

simplify62.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0487623
12289499
25001475

prune231.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.8b

localize7.0ms

Local error

Found 2 expressions with local error:

2.8b
(/ (/ 1.0 y) (* (fma z z 1.0) x))
3.8b
(* (fma z z 1.0) x)

rewrite11.0ms

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 log1p-expm1-u add-log-exp
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 68
Calls
2 calls:
6.0ms
(/ (/ 1.0 y) (* (fma z z 1.0) x))
3.0ms
(* (fma z z 1.0) x)

series105.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (/ 1.0 y) (* (fma z z 1.0) x))
44.0ms
(* (fma z z 1.0) x)

simplify46.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0363433
11499374
25003374

prune174.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.8b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (fma z z 1.0)) (* (sqrt (fma z z 1.0)) x))
2.8b
(/ (/ 1.0 y) (* (sqrt (fma z z 1.0)) (* (sqrt (fma z z 1.0)) x)))
15.0b
(sqrt (fma z z 1.0))
15.0b
(sqrt (fma z z 1.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
30×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
13×associate-/l*
11×pow1
9×cbrt-undiv div-exp prod-exp sqrt-prod cbrt-unprod
6×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg associate-*r* clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 105
Calls
4 calls:
10.0ms
(* (sqrt (fma z z 1.0)) (* (sqrt (fma z z 1.0)) x))
13.0ms
(/ (/ 1.0 y) (* (sqrt (fma z z 1.0)) (* (sqrt (fma z z 1.0)) x)))
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))

series222.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (sqrt (fma z z 1.0)) (* (sqrt (fma z z 1.0)) x))
66.0ms
(/ (/ 1.0 y) (* (sqrt (fma z z 1.0)) (* (sqrt (fma z z 1.0)) x)))
56.0ms
(sqrt (fma z z 1.0))
55.0ms
(sqrt (fma z z 1.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0504839
12011686
25001667

prune300.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.8b

regimes106.0ms

Accuracy

0% (1.4b remaining)

Error of 6.0b against oracle of 4.6b and baseline of 6.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128
1128

end0.0ms

sample430.0ms

Algorithm
intervals
Results
255.0ms8608×body80valid