Details

Time bar (total: 9.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms275×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: 3.3b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:
23.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
11.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series119.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
57.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify129.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
011482808
146382733
250022733

prune809.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ (/ (sqrt 1.0) 1) (sqrt (fma z z 1.0))) (/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) y))
2.3b
(/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) y)
15.0b
(sqrt (fma z z 1.0))
15.0b
(sqrt (fma z z 1.0))

rewrite944.0ms

Algorithm
rewrite-expression-head
Rules
3067×times-frac
1741×add-sqr-sqrt
1296×*-un-lft-identity
1264×add-cube-cbrt
1093×sqrt-prod
412×associate-*r*
136×associate-*l* associate-/l*
88×unswap-sqr
85×add-exp-log
67×add-cbrt-cube
58×div-inv
50×div-exp
36×cbrt-undiv
16×prod-exp
12×cbrt-unprod
8×pow1
4×expm1-log1p-u 1-exp log1p-expm1-u add-log-exp
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 1274
Calls
4 calls:
762.0ms
(* (/ (/ (sqrt 1.0) 1) (sqrt (fma z z 1.0))) (/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) y))
46.0ms
(/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) y)
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series586.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (/ (/ (sqrt 1.0) 1) (sqrt (fma z z 1.0))) (/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) y))
91.0ms
(/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) y)
48.0ms
(sqrt (fma z z 1.0))
245.0ms
(sqrt (fma z z 1.0))

simplify240.0ms

Algorithm
egg-herbie
Counts
1286 → 1286
Iterations

Useful iterations: 1 (64.0ms)

IterNodesCost
0435020404
1500219694

prune3.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (/ (/ (* (sqrt 1.0) (/ (sqrt 1.0) x)) (sqrt (fma z z 1.0))) y) (sqrt (fma z z 1.0)))
2.3b
(/ (/ (* (sqrt 1.0) (/ (sqrt 1.0) x)) (sqrt (fma z z 1.0))) y)
15.0b
(sqrt (fma z z 1.0))
15.0b
(sqrt (fma z z 1.0))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
594×times-frac
241×add-sqr-sqrt
239×add-cube-cbrt *-un-lft-identity
186×sqrt-prod
44×associate-/l*
38×add-exp-log add-cbrt-cube
34×div-inv
21×cbrt-undiv div-exp
9×associate-/r*
6×pow1
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 361
Calls
4 calls:
38.0ms
(/ (/ (/ (* (sqrt 1.0) (/ (sqrt 1.0) x)) (sqrt (fma z z 1.0))) y) (sqrt (fma z z 1.0)))
21.0ms
(/ (/ (* (sqrt 1.0) (/ (sqrt 1.0) x)) (sqrt (fma z z 1.0))) y)
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series437.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(/ (/ (/ (* (sqrt 1.0) (/ (sqrt 1.0) x)) (sqrt (fma z z 1.0))) y) (sqrt (fma z z 1.0)))
134.0ms
(/ (/ (* (sqrt 1.0) (/ (sqrt 1.0) x)) (sqrt (fma z z 1.0))) y)
47.0ms
(sqrt (fma z z 1.0))
55.0ms
(sqrt (fma z z 1.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
373 → 373
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012516298
150015885

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (* (/ 1.0 x) (/ (/ 1 y) (sqrt (fma z z 1.0)))) (sqrt (fma z z 1.0)))
3.1b
(* (/ 1.0 x) (/ (/ 1 y) (sqrt (fma z z 1.0))))
15.0b
(sqrt (fma z z 1.0))
15.0b
(sqrt (fma z z 1.0))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
139×add-sqr-sqrt
90×*-un-lft-identity
86×add-exp-log add-cube-cbrt
82×associate-*r*
57×sqrt-prod
54×add-cbrt-cube
45×div-exp
25×cbrt-undiv
20×prod-exp
14×unswap-sqr
13×associate-*l*
12×cbrt-unprod
9×div-inv
8×pow1
6×associate-/r*
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×associate-/l/
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ associate-*l/
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
4 → 215
Calls
4 calls:
30.0ms
(/ (* (/ 1.0 x) (/ (/ 1 y) (sqrt (fma z z 1.0)))) (sqrt (fma z z 1.0)))
60.0ms
(* (/ 1.0 x) (/ (/ 1 y) (sqrt (fma z z 1.0))))
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series256.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ (* (/ 1.0 x) (/ (/ 1 y) (sqrt (fma z z 1.0)))) (sqrt (fma z z 1.0)))
92.0ms
(* (/ 1.0 x) (/ (/ 1 y) (sqrt (fma z z 1.0))))
48.0ms
(sqrt (fma z z 1.0))
54.0ms
(sqrt (fma z z 1.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011472027
150011736

prune566.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.1b

regimes126.0ms

Accuracy

0% (1.2b remaining)

Error of 5.9b against oracle of 4.7b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01711
11711

end0.0ms

sample469.0ms

Algorithm
intervals
Results
225.0ms8597×body80valid