Details

Time bar (total: 4.5s)

sample22.0ms

Algorithm
intervals
Results
9.0ms284×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0175
1355
2634
31074
41694
52394
62884
73564
84074
95334
107554
1112564
1213024
1313044
1413044

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
0.3b
(fma (/ (- y z) (- a z)) t x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
12.0ms
(/ (- y z) (- a z))
0.0ms
(fma (/ (- y z) (- a z)) t x)

series140.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- y z) (- a z))
85.0ms
(fma (/ (- y z) (- a z)) t x)

simplify64.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0258433
1705410
22399410
35001410

prune193.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
0.3b
(fma (* 1 (/ (- y z) (- a z))) t x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
12.0ms
(/ (- y z) (- a z))
0.0ms
(fma (* 1 (/ (- y z) (- a z))) t x)

series138.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- y z) (- a z))
83.0ms
(fma (* 1 (/ (- y z) (- a z))) t x)

simplify71.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0262445
1776419
22827419
35002419

prune200.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.3b
(fma (* 1 (/ 1 (/ (- a z) (- y z)))) t x)
0.4b
(/ 1 (/ (- a z) (- y z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
12.0ms
(/ (- a z) (- y z))
0.0ms
(fma (* 1 (/ 1 (/ (- a z) (- y z)))) t x)
15.0ms
(/ 1 (/ (- a z) (- y z)))

series398.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- a z) (- y z))
200.0ms
(fma (* 1 (/ 1 (/ (- a z) (- y z)))) t x)
145.0ms
(/ 1 (/ (- a z) (- y z)))

simplify83.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06201903
127691718
250031547

prune413.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.0b
(/ 1 (- y z))
0.2b
(/ (/ 1 (- a z)) (/ 1 (- y z)))
0.3b
(fma (* 1 (/ (/ 1 (- a z)) (/ 1 (- y z)))) t x)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
1131×times-frac
700×add-sqr-sqrt *-un-lft-identity
420×add-cube-cbrt
140×distribute-lft-out-- difference-of-squares
93×associate-/r/
52×add-exp-log
47×div-inv
46×flip3-- flip--
36×div-exp
31×associate-/r*
27×associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×pow-flip inv-pow
1×fma-udef associate-/l/
Counts
4 → 613
Calls
4 calls:
6.0ms
(/ 1 (- a z))
6.0ms
(/ 1 (- y z))
32.0ms
(/ (/ 1 (- a z)) (/ 1 (- y z)))
0.0ms
(fma (* 1 (/ (/ 1 (- a z)) (/ 1 (- y z)))) t x)

series417.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ 1 (- a z))
40.0ms
(/ 1 (- y z))
140.0ms
(/ (/ 1 (- a z)) (/ 1 (- y z)))
200.0ms
(fma (* 1 (/ (/ 1 (- a z)) (/ 1 (- y z)))) t x)

simplify128.0ms

Algorithm
egg-herbie
Counts
625 → 625
Iterations

Useful iterations: 1 (53.0ms)

IterNodesCost
021867548
150026618

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes221.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1176
2176

end0.0ms

sample549.0ms

Algorithm
intervals
Results
279.0ms8754×body80valid
0.0ms1×body320valid
0.0ms1×body160valid