Details

Time bar (total: 3.7s)

sample22.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0215
1374
2604
31044
41744
52374
62664
73124
83754
95074
106664
1111174
1213414
1315134
1415354
1515354

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.8b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.8b
(fma y (/ (- z t) (- z a)) 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
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 y (/ (- z t) (- z a)) x)

series131.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z t) (- z a))
80.0ms
(fma y (/ (- z t) (- z a)) x)

simplify66.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0260433
1705410
22411410
35001410

prune175.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New64670
Fresh000
Picked011
Done000
Total64771

Merged error: 0.4b

Counts
71 → 7

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
0.8b
(fma y (* (- z t) (/ 1 (- z a))) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1
associate-*l* associate-/r*
flip3-- div-exp prod-exp associate-/r/ flip--
expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
6.0ms
(/ 1 (- z a))
14.0ms
(* (- z t) (/ 1 (- z a)))
1.0ms
(fma y (* (- z t) (/ 1 (- z a))) x)

series167.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (- z a))
48.0ms
(* (- z t) (/ 1 (- z a)))
81.0ms
(fma y (* (- z t) (/ 1 (- z a))) x)

simplify302.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0337585
11465510
25001468

prune230.0ms

Filtered
114 candidates to 69 candidates (60.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh055
Picked011
Done011
Total1147121

Merged error: 0.4b

Counts
121 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma y (/ (- z t) (- z a)) x))
0.8b
(fma y (/ (- z t) (- z a)) x)
0.8b
(fma y (/ (- z t) (- z a)) x)
0.8b
(fma y (/ (- z t) (- z a)) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-prod fma-udef
pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma y (/ (- z t) (- z a)) x))
1.0ms
(fma y (/ (- z t) (- z a)) x)
1.0ms
(fma y (/ (- z t) (- z a)) x)
1.0ms
(fma y (/ (- z t) (- z a)) x)

series505.0ms

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt (fma y (/ (- z t) (- z a)) x))
77.0ms
(fma y (/ (- z t) (- z a)) x)
81.0ms
(fma y (/ (- z t) (- z a)) x)
82.0ms
(fma y (/ (- z t) (- z a)) x)

simplify67.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (61.0ms)

IterNodesCost
085333
1160295
2409293
31522290
45001287

prune199.0ms

Filtered
55 candidates to 50 candidates (90.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New55055
Fresh044
Picked011
Done022
Total55762

Merged error: 0.4b

Counts
62 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.2b
(pow (/ (- z t) (- z a)) 3)
0.8b
(fma y (cbrt (pow (/ (- z t) (- z a)) 3)) x)
18.5b
(cbrt (pow (/ (- z t) (- z a)) 3))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
166×add-sqr-sqrt *-un-lft-identity
125×times-frac
68×cbrt-prod
62×add-cube-cbrt unpow-prod-down cube-prod
52×distribute-lft-out-- difference-of-squares
10×associate-/r/
add-exp-log add-cbrt-cube
flip3-- flip--
pow1 associate-/r* div-inv associate-/l*
expm1-log1p-u log1p-expm1-u add-log-exp
pow-unpow
cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 div-sub clear-num rem-cbrt-cube fma-udef
Counts
4 → 228
Calls
4 calls:
10.0ms
(/ (- z t) (- z a))
12.0ms
(pow (/ (- z t) (- z a)) 3)
1.0ms
(fma y (cbrt (pow (/ (- z t) (- z a)) 3)) x)
13.0ms
(cbrt (pow (/ (- z t) (- z a)) 3))

series372.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ (- z t) (- z a))
187.0ms
(pow (/ (- z t) (- z a)) 3)
80.0ms
(fma y (cbrt (pow (/ (- z t) (- z a)) 3)) x)
56.0ms
(cbrt (pow (/ (- z t) (- z a)) 3))

simplify92.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06501840
126951728
250031706

prune407.0ms

Filtered
240 candidates to 112 candidates (46.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2400240
Fresh033
Picked011
Done033
Total2407247

Merged error: 0.4b

Counts
247 → 7

regimes203.0ms

Accuracy

0% (0.7b remaining)

Error of 1.4b against oracle of 0.7b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094

end0.0ms

sample562.0ms

Algorithm
intervals
Results
282.0ms8696×body80valid
0.0msbody640valid
0.0msbody320valid
0.0msbody160valid

Profiling

Loading profile data...