Details

Time bar (total: 5.8s)

sample20.0ms

Algorithm
intervals
Results
10.0ms281×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune5.0ms

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: 7.0b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
0.0b
(* z (- y t))
7.0b
(/ x (/ (* z (- y t)) 2.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
36×times-frac
35×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg flip3-- frac-2neg clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 121
Calls
3 calls:
8.0ms
(/ (* z (- y t)) 2.0)
10.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series124.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (* z (- y t)) 2.0)
36.0ms
(* z (- y t))
42.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0498867
12215667
25001667

prune212.0ms

Filtered
130 candidates to 84 candidates (64.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1228130
Fresh011
Picked101
Done000
Total1239132

Merged error: 0b

Counts
132 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.6b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/r*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 212
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
30.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ x (/ (- y t) 2.0))
48.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify99.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09191696
142841528
250011521

prune417.0ms

Filtered
218 candidates to 154 candidates (70.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2162218
Fresh268
Picked101
Done000
Total2198227

Merged error: 0b

Counts
227 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.5b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
711×times-frac
405×add-sqr-sqrt *-un-lft-identity
309×add-cube-cbrt
65×associate-/l*
48×distribute-lft-out-- difference-of-squares
22×associate-/r* div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 366
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
18.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series106.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ x (/ (- y t) 2.0))
76.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify75.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013633876
150013759

prune810.0ms

Filtered
372 candidates to 287 candidates (77.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3702372
Fresh347
Picked011
Done000
Total3737380

Merged error: 0b

Counts
380 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ (- y t) 2.0) x)
0.4b
(/ 1 (/ (/ (- y t) 2.0) x))
4.5b
(/ (/ 1 (/ (/ (- y t) 2.0) x)) z)

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
3228×times-frac
1622×add-sqr-sqrt *-un-lft-identity
1310×add-cube-cbrt
210×associate-/l*
156×distribute-lft-out-- difference-of-squares
75×div-inv
67×associate-/r*
61×add-exp-log
43×div-exp
31×add-cbrt-cube
19×cbrt-undiv
6×rec-exp 1-exp
5×associate-/r/
4×pow1
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×div-sub associate-/l/
1×pow-flip inv-pow
Counts
3 → 1153
Calls
3 calls:
8.0ms
(/ (/ (- y t) 2.0) x)
16.0ms
(/ 1 (/ (/ (- y t) 2.0) x))
46.0ms
(/ (/ 1 (/ (/ (- y t) 2.0) x)) z)

series251.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (/ (- y t) 2.0) x)
85.0ms
(/ 1 (/ (/ (- y t) 2.0) x))
127.0ms
(/ (/ 1 (/ (/ (- y t) 2.0) x)) z)

simplify233.0ms

Algorithm
egg-herbie
Counts
1162 → 1162
Iterations

Useful iterations: 1 (76.0ms)

IterNodesCost
0407315567
1500114912

prune2.2s

Filtered
1162 candidates to 709 candidates (61.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New116111162
Fresh235
Picked011
Done011
Total116361169

Merged error: 0b

Counts
1169 → 6

regimes221.0ms

Accuracy

72.7% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 6.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03024
13024

end0.0ms

sample563.0ms

Algorithm
intervals
Results
324.0ms8713×body80valid