Details

Time bar (total: 6.2s)

sample33.0ms

Algorithm
intervals
Results
10.0ms259×body80valid
2.0ms15×body640valid
2.0ms14×body320valid
1.0ms5×body1280valid
1.0ms8×body160valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519125
645815
750015

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.2b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
3.2b
(fma (/ (- y z) (- a z)) (- t x) x)

rewrite13.0ms

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:
10.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

series182.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (- y z) (- a z))
125.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

simplify72.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0265450
1729425
22562423
35002421

prune239.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New571370
Fresh011
Picked101
Done000
Total581472

Merged error: 2.2b

Counts
72 → 14

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.3b
(/ 1 (/ (- a z) (- y z)))
3.2b
(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

rewrite36.0ms

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:
10.0ms
(/ (- a z) (- y z))
13.0ms
(/ 1 (/ (- a z) (- y z)))
1.0ms
(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

series584.0ms

Counts
3 → 9
Calls
3 calls:
297.0ms
(/ (- a z) (- y z))
146.0ms
(/ 1 (/ (- a z) (- y z)))
141.0ms
(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

simplify89.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06301909
128021724
250031553

prune388.0ms

Filtered
223 candidates to 107 candidates (48.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New2185223
Fresh6713
Picked101
Done000
Total22512237

Merged error: 2.1b

Counts
237 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
1.6b
(/ (- t x) (/ (- a z) (- y z)))
2.8b
(+ (/ (- t x) (/ (- a z) (- y z))) x)

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
610×times-frac
572×*-un-lft-identity
570×add-sqr-sqrt
200×add-cube-cbrt
185×distribute-lft-out-- difference-of-squares
160×fma-def
36×associate-/r*
26×associate-/r/
14×flip3-- flip-- div-inv
10×add-exp-log add-cbrt-cube associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 expm1-log1p-u div-sub log1p-expm1-u
2×frac-2neg clear-num
1×+-commutative associate-+l- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 440
Calls
3 calls:
9.0ms
(/ (- a z) (- y z))
18.0ms
(/ (- t x) (/ (- a z) (- y z)))
67.0ms
(+ (/ (- t x) (/ (- a z) (- y z))) x)

series422.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (- a z) (- y z))
217.0ms
(/ (- t x) (/ (- a z) (- y z)))
155.0ms
(+ (/ (- t x) (/ (- a z) (- y z))) x)

simplify145.0ms

Algorithm
egg-herbie
Counts
449 → 449
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
010433090
143073014
250013012

prune1.0s

Filtered
449 candidates to 271 candidates (60.4%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New4409449
Fresh7411
Picked011
Done000
Total44714461

Merged error: 2.1b

Counts
461 → 14

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y (- a z)) (/ z (- a z)))
0.0b
(/ z (- a z))
3.2b
(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
694×*-un-lft-identity
684×add-sqr-sqrt
678×times-frac
441×prod-diff
402×add-cube-cbrt
145×distribute-lft-out--
139×difference-of-squares
92×associate-/r/
47×flip3-- flip--
46×div-inv
21×fma-neg
5×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u associate-/l*
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num frac-sub fma-udef sub-div
Counts
3 → 542
Calls
3 calls:
44.0ms
(- (/ y (- a z)) (/ z (- a z)))
6.0ms
(/ z (- a z))
1.0ms
(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

series241.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- (/ y (- a z)) (/ z (- a z)))
51.0ms
(/ z (- a z))
122.0ms
(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

simplify217.0ms

Algorithm
egg-herbie
Counts
551 → 551
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
0120915518
1315011558
2500210317

prune748.0ms

Filtered
551 candidates to 178 candidates (32.3%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New5510551
Fresh01212
Picked011
Done011
Total55114565

Merged error: 2.1b

Counts
565 → 14

regimes463.0ms

Accuracy

26.1% (5.8b remaining)

Error of 9.5b against oracle of 3.6b and baseline of 11.5b

bsearch111.0ms

Steps
ItersRangePoint
8
3.349643807260416e+228
6.156301724661129e+231
4.702543729732136e+228
9
-4.752692170059013e+203
-2.2357709492858923e+197
-1.798427854624274e+199

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02510
12510

end0.0ms

sample800.0ms

Algorithm
intervals
Results
322.0ms7781×body80valid
68.0ms468×body640valid
50.0ms276×body1280valid
49.0ms397×body320valid
20.0ms267×body160valid
5.0ms23×body2560valid