Details

Time bar (total: 7.6s)

analyze810.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms19×body80invalid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.0b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.9b
(/ x (/ (* z (- y t)) 2.0))

rewrite19.0ms

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))
11.0ms
(/ x (/ (* z (- y t)) 2.0))

series19.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* z (- y t))
12.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0353467
11535417
25002414

prune123.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New74680
Fresh011
Picked101
Done000
Total75782

Merged error: 0.0b

Counts
82 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

5.1b
(/ (/ x z) (/ (- y t) 2.0))

rewrite44.0ms

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:
16.0ms
(/ (/ x z) (/ (- y t) 2.0))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015643639
150013548

prune314.0ms

Filtered
217 candidates to 302 candidates (-39.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3002302
Fresh426
Picked011
Done000
Total3045309

Merged error: 0b

Counts
309 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (sqrt 2.0) (/ (/ x z) (/ (- y t) (sqrt 2.0))))
0.4b
(/ (- y t) (sqrt 2.0))
5.1b
(/ (/ x z) (/ (- y t) (sqrt 2.0)))

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
2371×times-frac
1359×add-sqr-sqrt
1305×*-un-lft-identity
967×add-cube-cbrt
447×associate-*r*
437×sqrt-prod
169×distribute-lft-out-- difference-of-squares
99×div-inv
40×associate-/r*
35×add-exp-log add-cbrt-cube
18×associate-/l*
17×cbrt-undiv div-exp
14×unswap-sqr
6×associate-*l*
5×pow1 prod-exp cbrt-unprod
3×associate-/l/ add-log-exp
2×frac-2neg clear-num associate-/r/
1×flip3-- div-sub associate-*r/ pow-prod-down *-commutative flip--
Counts
3 → 1052
Calls
3 calls:
121.0ms
(* (sqrt 2.0) (/ (/ x z) (/ (- y t) (sqrt 2.0))))
6.0ms
(/ (- y t) (sqrt 2.0))
21.0ms
(/ (/ x z) (/ (- y t) (sqrt 2.0)))

series42.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* (sqrt 2.0) (/ (/ x z) (/ (- y t) (sqrt 2.0))))
8.0ms
(/ (- y t) (sqrt 2.0))
14.0ms
(/ (/ x z) (/ (- y t) (sqrt 2.0)))

simplify178.0ms

Algorithm
egg-herbie
Counts
1061 → 1061
Iterations

Useful iterations: 1 (57.0ms)

IterNodesCost
0316712746
1500112360

prune1.4s

Filtered
553 candidates to 1061 candidates (-91.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New106101061
Fresh033
Picked011
Done011
Total106151066

Merged error: 0b

Counts
1066 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
3845×times-frac
1921×add-sqr-sqrt *-un-lft-identity
1525×add-cube-cbrt
265×associate-/r*
198×distribute-lft-out-- difference-of-squares
168×div-inv
58×add-exp-log
42×div-exp
32×add-cbrt-cube
22×associate-/l*
21×cbrt-undiv
6×associate-/r/
5×rec-exp 1-exp
3×pow1
2×frac-2neg div-sub clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 1344
Calls
2 calls:
55.0ms
(/ 1 (/ (/ (- y t) 2.0) (/ x z)))
15.0ms
(/ (/ (- y t) 2.0) (/ x z))

series42.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 1 (/ (/ (- y t) 2.0) (/ x z)))
15.0ms
(/ (/ (- y t) 2.0) (/ x z))

simplify264.0ms

Algorithm
egg-herbie
Counts
1350 → 1350
Iterations

Useful iterations: 1 (80.0ms)

IterNodesCost
0451519112
1500118552

prune1.9s

Filtered
790 candidates to 1350 candidates (-70.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New135001350
Fresh022
Picked011
Done022
Total135051355

Merged error: 0b

Counts
1355 → 5

regimes526.0ms

Accuracy

81.4% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 5.7b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
03435
13725
24025
34025

end0.0ms

analyze636.0ms

Algorithm
search

sample546.0ms

Algorithm
intervals
Results
304.0ms8000×body80valid
26.0ms715×body80invalid

Profiling

Loading profile data...