Details

Time bar (total: 3.2s)

analyze1.6s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 0.999261%

Guaranteed chance to sample good point: 61.703175%

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms21×body80invalid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 5.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.4b
(/ x (/ (* z (- y t)) 2.0))

rewrite16.0ms

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:
6.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series22.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* z (- y t))
12.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0353467
11535417
25002414

prune105.0ms

Filtered
57 candidates to 80 candidates (-40.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New75580
Fresh000
Picked011
Done000
Total75681

Merged error: 0.0b

Counts
81 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
4.7b
(* x (/ (/ 2.0 (- y t)) z))

rewrite48.0ms

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)
22.0ms
(* x (/ (/ 2.0 (- y t)) z))

series35.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
10.0ms
(/ (/ 2.0 (- y t)) z)
19.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify82.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07421638
134181557
250021557

prune250.0ms

Filtered
177 candidates to 237 candidates (-33.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2352237
Fresh134
Picked011
Done011
Total2367243

Merged error: 0b

Counts
243 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.8b
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
5.1b
(/ (/ (* z (- y t)) 2.0) x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
228×times-frac
107×add-sqr-sqrt
105×*-un-lft-identity
103×add-cube-cbrt
48×add-exp-log
28×div-exp associate-/r* add-cbrt-cube
22×div-inv
14×cbrt-undiv
10×associate-/l*
6×pow1
5×associate-*r* prod-exp
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in associate-*r/ clear-num
1×flip3-- pow-flip pow-prod-down associate-/r/ *-commutative flip-- associate-/l/ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 206
Calls
3 calls:
6.0ms
(* z (- y t))
12.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
8.0ms
(/ (/ (* z (- y t)) 2.0) x)

series45.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(* z (- y t))
19.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
15.0ms
(/ (/ (* z (- y t)) 2.0) x)

simplify98.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08281834
141831596
250021455

prune159.0ms

Filtered
114 candidates to 215 candidates (-88.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2150215
Fresh044
Picked011
Done022
Total2157222

Merged error: 0b

Counts
222 → 7

localize8.0ms

Local error

Found 1 expressions with local error:

6.6b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
103×add-sqr-sqrt
76×*-un-lft-identity
62×associate-*r*
55×add-cube-cbrt
40×add-exp-log
22×add-cbrt-cube
18×div-exp
13×associate-*l*
12×prod-exp
9×cbrt-undiv distribute-lft-out-- difference-of-squares unswap-sqr
6×cbrt-unprod
5×div-inv
3×pow1 rec-exp 1-exp
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative add-log-exp
Counts
1 → 114
Calls
1 calls:
29.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify86.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0758903
13639763
25001756

prune109.0ms

Filtered
78 candidates to 117 candidates (-50.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1161117
Fresh123
Picked011
Done033
Total1177124

Merged error: 0b

Counts
124 → 7

regimes300.0ms

bsearch0.0ms

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