Details

Time bar (total: 2.1s)

sample22.0ms

Algorithm
intervals
Results
11.0ms275×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 6.6b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
0.0b
(* z (- y t))
6.5b
(/ x (/ (* z (- y t)) 2.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt
19×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×associate-*l* prod-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
7.0ms
(/ (* z (- y t)) 2.0)
7.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series134.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (* z (- y t)) 2.0)
35.0ms
(* z (- y t))
46.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0413592
11829518
25002515

prune194.0ms

Filtered
106 candidates to 76 candidates (71.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New988106
Fresh101
Picked101
Done000
Total1008108

Merged error: 0.0b

Counts
108 → 8

localize7.0ms

Local error

Found 1 expressions with local error:

4.9b
(/ (/ x z) (/ (- y t) 2.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
637×times-frac
351×add-sqr-sqrt *-un-lft-identity
267×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
35×div-inv
19×associate-/r*
13×add-exp-log add-cbrt-cube associate-/l*
8×cbrt-undiv div-exp
1×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
Counts
1 → 299
Calls
1 calls:
14.0ms
(/ (/ x z) (/ (- y t) 2.0))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015643639
150013548

prune602.0ms

Filtered
302 candidates to 217 candidates (71.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2993302
Fresh437
Picked011
Done000
Total3037310

Merged error: 0b

Counts
310 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ x z) 2.0)
0.0b
(/ 1 (- y t))
5.0b
(* (/ 1 (- y t)) (* (/ x z) 2.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
49×add-sqr-sqrt
44×*-un-lft-identity
40×times-frac
34×associate-*l*
31×add-cbrt-cube
30×add-cube-cbrt
22×prod-exp
13×div-exp
12×cbrt-unprod
11×pow1
7×cbrt-undiv distribute-lft-out-- difference-of-squares
5×associate-/r*
4×rec-exp 1-exp associate-*r* pow-prod-down associate-*l/ associate-/r/
3×div-inv associate-/l* add-log-exp
2×flip3-- *-commutative flip-- unswap-sqr
1×frac-times pow-flip frac-2neg associate-*r/ clear-num inv-pow
Counts
3 → 126
Calls
3 calls:
6.0ms
(* (/ x z) 2.0)
5.0ms
(/ 1 (- y t))
12.0ms
(* (/ 1 (- y t)) (* (/ x z) 2.0))

series173.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* (/ x z) 2.0)
33.0ms
(/ 1 (- y t))
121.0ms
(* (/ 1 (- y t)) (* (/ x z) 2.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0484688
12283564
25001531

prune181.0ms

Filtered
135 candidates to 76 candidates (56.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1341135
Fresh145
Picked011
Done101
Total1366142

Merged error: 0b

Counts
142 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
29×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
11×associate-/l*
10×add-exp-log add-cbrt-cube
8×associate-/r/
5×cbrt-undiv div-exp div-inv
4×flip3-- flip-- distribute-lft-out-- difference-of-squares
3×associate-/r*
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
Counts
1 → 64
Calls
1 calls:
8.0ms
(/ (/ (* x 2.0) (- y t)) z)

series75.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(/ (/ (* x 2.0) (- y t)) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0380511
11717472
25001472

prune128.0ms

Filtered
67 candidates to 51 candidates (76.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh044
Picked011
Done011
Total67673

Merged error: 0b

Counts
73 → 6

regimes178.0ms

bsearch2.0ms

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