Details

Time bar (total: 4.6s)

sample20.0ms

Algorithm
intervals
Results
9.0ms278×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.1b
(/ 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:
10.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series83.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* z (- y t))
43.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0353467
11535417
25001414

prune172.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.8b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite67.0ms

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))
45.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ x (/ (- y t) 2.0))
48.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify96.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
09151676
143101508
250011501

prune468.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.7b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
711×times-frac
405×add-sqr-sqrt *-un-lft-identity
309×add-cube-cbrt
65×associate-/l*
48×distribute-lft-out-- difference-of-squares
22×associate-/r* div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 362
Calls
2 calls:
11.0ms
(/ x (/ (- y t) 2.0))
25.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series107.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (/ (- y t) 2.0))
76.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify70.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013593858
150023741

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (/ (- y t) (sqrt 2.0)))
0.4b
(* (sqrt 2.0) (/ x (/ (- y t) (sqrt 2.0))))
0.4b
(/ (- y t) (sqrt 2.0))
5.7b
(/ (* (sqrt 2.0) (/ x (/ (- y t) (sqrt 2.0)))) z)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
457×times-frac
340×add-sqr-sqrt
314×*-un-lft-identity
216×add-cube-cbrt
132×sqrt-prod
107×associate-*r*
49×distribute-lft-out-- difference-of-squares
43×associate-/r*
34×add-exp-log add-cbrt-cube
14×cbrt-undiv div-exp
11×div-inv
9×associate-/l*
8×unswap-sqr
6×pow1 associate-*l* prod-exp cbrt-unprod
4×add-log-exp
3×frac-2neg clear-num associate-/l/
2×associate-*r/ associate-/r/
1×flip3-- div-sub pow-prod-down *-commutative flip--
Counts
4 → 373
Calls
4 calls:
12.0ms
(/ x (/ (- y t) (sqrt 2.0)))
55.0ms
(* (sqrt 2.0) (/ x (/ (- y t) (sqrt 2.0))))
8.0ms
(/ (- y t) (sqrt 2.0))
17.0ms
(/ (* (sqrt 2.0) (/ x (/ (- y t) (sqrt 2.0)))) z)

series500.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ x (/ (- y t) (sqrt 2.0)))
123.0ms
(* (sqrt 2.0) (/ x (/ (- y t) (sqrt 2.0))))
90.0ms
(/ (- y t) (sqrt 2.0))
219.0ms
(/ (* (sqrt 2.0) (/ x (/ (- y t) (sqrt 2.0)))) z)

simplify63.0ms

Algorithm
egg-herbie
Counts
385 → 385
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010043454
150023201

prune814.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes170.0ms

Accuracy

36.7% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 5.5b

bsearch75.0ms

Steps
ItersRangePoint
9
1.9361698092996542e-81
1.894432632244252e-76
9.129841903599384e-77
6
-3.6476918160132248e+230
-3.970131788875187e+229
-4.154512528065834e+229

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02811
12811

end0.0ms

sample523.0ms

Algorithm
intervals
Results
285.0ms8717×body80valid