Details

Time bar (total: 3.0s)

sample23.0ms

Algorithm
intervals
Results
10.0ms277×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0185
1335
2614
31134
41734
52324
62804
73534
84854
96444
1010954
1113194
1214914
1315134
1415134

prune7.0ms

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: 0.1b

Counts
2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
3.1b
(fma (/ y (- z a)) (- z t) x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/r*
add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
associate-/l*
pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
5.0ms
(/ y (- z a))
1.0ms
(fma (/ y (- z a)) (- z t) x)

series100.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ y (- z a))
74.0ms
(fma (/ y (- z a)) (- z t) x)

simplify103.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (99.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune135.0ms

Filtered
55 candidates to 43 candidates (78.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New51455
Fresh011
Picked011
Done000
Total51657

Merged error: 0.0b

Counts
57 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) y)
0.6b
(/ 1 (/ (- z a) y))
3.1b
(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
101×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
10×add-cbrt-cube
div-exp associate-/l*
div-inv
pow1 cbrt-undiv
expm1-log1p-u log1p-expm1-u add-log-exp
rec-exp frac-2neg 1-exp clear-num associate-/l/
flip3-- pow-flip div-sub associate-/r/ flip-- fma-udef inv-pow
Counts
3 → 152
Calls
3 calls:
7.0ms
(/ (- z a) y)
8.0ms
(/ 1 (/ (- z a) y))
1.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

series179.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (- z a) y)
66.0ms
(/ 1 (/ (- z a) y))
85.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04661074
11946948
25001842

prune235.0ms

Filtered
161 candidates to 87 candidates (54.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1601161
Fresh134
Picked101
Done011
Total1625167

Merged error: 0.0b

Counts
167 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- z t) (/ (- z a) y)) x)
0.0b
(/ (- z a) y)
9.2b
(/ (- z t) (/ (- z a) y))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
370×times-frac
306×*-un-lft-identity
304×add-sqr-sqrt
152×add-cube-cbrt
100×fma-def
76×distribute-lft-out-- difference-of-squares
22×associate-/r*
14×div-inv
10×add-exp-log add-cbrt-cube associate-/l*
add-log-exp
cbrt-undiv div-exp associate-/l/
pow1 expm1-log1p-u div-sub log1p-expm1-u
flip3-- frac-2neg clear-num associate-/r/ flip--
+-commutative associate-+l- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 294
Calls
3 calls:
41.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
6.0ms
(/ (- z a) y)
12.0ms
(/ (- z t) (/ (- z a) y))

series200.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
27.0ms
(/ (- z a) y)
91.0ms
(/ (- z t) (/ (- z a) y))

simplify74.0ms

Algorithm
egg-herbie
Counts
303 → 303
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07931747
130171690
250011690

prune612.0ms

Filtered
303 candidates to 209 candidates (69.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3012303
Fresh213
Picked011
Done101
Total3044308

Merged error: 0b

Counts
308 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.5b
(fma (/ (- z t) (- z a)) y x)

rewrite12.0ms

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
associate-/r* associate-/l*
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
9.0ms
(/ (- z t) (- z a))
1.0ms
(fma (/ (- z t) (- z a)) y x)

series112.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (- z t) (- z a))
71.0ms
(fma (/ (- z t) (- z a)) y x)

simplify59.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0260433
1700410
22404410
35001410

prune143.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh112
Picked011
Done011
Total70474

Merged error: 0b

Counts
74 → 4

regimes174.0ms

Accuracy

46% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02722
12722

end0.0ms

sample599.0ms

Algorithm
intervals
Results
327.0ms8707×body80valid
1.0msbody2560valid

Profiling

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