Details

Time bar (total: 3.5s)

analyze2.2s

Algorithm
search
sampling

Space saved by range analysis: 0.243902%

Space saved by search: 4.968678%

Guaranteed chance to sample good point: 39.197847%

sample26.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms73×body80invalid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
8.0b
(/ (* y (- z t)) a)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series23.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
16.0ms
(/ (* y (- z t)) a)

simplify31.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0231226
11033189
25002189

prune84.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New48755
Fresh000
Picked101
Done000
Total49756

Merged error: 0.0b

Counts
56 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
5.7b
(/ y (/ a (- z t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ a (- z t))
13.0ms
(/ y (/ a (- z t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04811051
121901013
250021004

prune133.0ms

Filtered
107 candidates to 145 candidates (-35.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1423145
Fresh426
Picked011
Done000
Total1466152

Merged error: 0b

Counts
152 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) a)
6.0b
(* y (/ (- z t) a))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
11.0ms
(/ (- z t) a)
18.0ms
(* y (/ (- z t) a))

series18.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (- z t) a)
12.0ms
(* y (/ (- z t) a))

simplify33.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0276403
11172372
25001366

prune75.0ms

Filtered
55 candidates to 82 candidates (-49.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh044
Picked011
Done011
Total82688

Merged error: 0b

Counts
88 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

7.3b
(* (/ y a) (- z t))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
9.0ms
(* (/ y a) (- z t))

series13.0ms

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

simplify80.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0253228
1991200
24155200
35001200

prune35.0ms

Filtered
30 candidates to 45 candidates (-50.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New45045
Fresh033
Picked011
Done022
Total45651

Merged error: 0b

Counts
51 → 6

regimes573.0ms

bsearch0.0ms

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