Details

Time bar (total: 4.6s)

sample20.0ms

Algorithm
intervals
Results
7.0ms273×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
7.4b
(/ x (/ (* z (- y t)) 2.0))

rewrite35.0ms

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:
20.0ms
(* z (- y t))
12.0ms
(/ x (/ (* z (- y t)) 2.0))

series88.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* z (- y t))
52.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0353467
11535417
25001414

prune166.0ms

Pruning

6 alts after pruning (6 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))
4.1b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite89.0ms

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:
16.0ms
(/ x (/ (- y t) 2.0))
60.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ x (/ (- y t) 2.0))
49.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify97.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09151676
142801508
250011501

prune484.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.1b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite84.0ms

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:
15.0ms
(/ x (/ (- y t) 2.0))
38.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series115.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (/ (- y t) 2.0))
82.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify62.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013593858
150023741

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))
17.4b
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
17.4b
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
17.4b
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
106×add-sqr-sqrt
79×*-un-lft-identity
62×associate-*r*
58×add-cube-cbrt
43×add-exp-log
25×add-cbrt-cube
18×div-exp
13×associate-*l*
12×prod-exp
9×cbrt-undiv cbrt-div distribute-lft-out-- difference-of-squares unswap-sqr
6×pow1 cbrt-unprod
5×div-inv
4×frac-times associate-*r/ associate-*l/ add-log-exp
3×cbrt-prod rec-exp pow1/3 1-exp
1×pow-prod-down associate-/r/ *-commutative
Counts
4 → 150
Calls
4 calls:
59.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))
17.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
17.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
17.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))

series584.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))
180.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
181.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
174.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))

simplify93.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08391290
138791111
250011095

prune513.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes160.0ms

Accuracy

39.2% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 5.5b

bsearch66.0ms

Steps
ItersRangePoint
5
1.442450313364512e-221
4.3373395035689546e-221
4.2800644919757175e-221
9
-4.200216428130475e-80
-2.7927275203089696e-85
-2.8540734831324096e-80

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03118
13118

end0.0ms

sample524.0ms

Algorithm
intervals
Results
239.0ms8689×body80valid