Details

Time bar (total: 2.3s)

sample21.0ms

Algorithm
intervals
Results
10.0ms286×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune6.0ms

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: 4.7b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.7b
(/ x (/ (* z (- y t)) 2.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
24×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ prod-exp cbrt-unprod add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 74
Calls
2 calls:
9.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series78.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
44.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0353467
11535417
25002414

prune155.0ms

Filtered
80 candidates to 57 candidates (71.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New71980
Fresh101
Picked011
Done000
Total721082

Merged error: 0b

Counts
82 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
4.0b
(* x (/ (/ 2.0 (- y t)) z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac
180×add-sqr-sqrt
171×*-un-lft-identity
121×add-cube-cbrt
67×associate-*r*
25×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
16×associate-/r/
10×div-inv
8×flip3-- associate-/r* flip--
7×cbrt-undiv div-exp
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 228
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
9.0ms
(/ (/ 2.0 (- y t)) z)
23.0ms
(* x (/ (/ 2.0 (- y t)) z))

series190.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ 2.0 (- y t))
71.0ms
(/ (/ 2.0 (- y t)) z)
76.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify89.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07421638
134181557
250021557

prune453.0ms

Filtered
237 candidates to 177 candidates (74.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2361237
Fresh358
Picked011
Done011
Total2398247

Merged error: 0b

Counts
247 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(* x (/ 2.0 (- y t)))
5.3b
(/ (* x (/ 2.0 (- y t))) z)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-exp-log add-cbrt-cube
8×associate-/r*
7×distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp
5×pow1
4×prod-exp associate-/r/ cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×flip3-- frac-2neg associate-*r/ clear-num flip-- unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 101
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
9.0ms
(* x (/ 2.0 (- y t)))
8.0ms
(/ (* x (/ 2.0 (- y t))) z)

series145.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ 2.0 (- y t))
33.0ms
(* x (/ 2.0 (- y t)))
71.0ms
(/ (* x (/ 2.0 (- y t))) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0345541
11621474
25002474

prune176.0ms

Filtered
110 candidates to 76 candidates (69.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1091110
Fresh235
Picked011
Done022
Total1117118

Merged error: 0b

Counts
118 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.3b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite53.0ms

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×associate-/r/ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 208
Calls
2 calls:
9.0ms
(/ x (/ (- y t) 2.0))
32.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (/ (- y t) 2.0))
52.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify104.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
09151676
142801508
250011501

prune374.0ms

Filtered
214 candidates to 151 candidates (70.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2131214
Fresh123
Picked011
Done123
Total2156221

Merged error: 0b

Counts
221 → 6

regimes133.0ms

bsearch3.0ms

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