Details

Time bar (total: 4.7s)

sample20.0ms

Algorithm
intervals
Results
7.0ms273×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×*-un-lft-identity
33×times-frac
32×add-cube-cbrt
18×prod-diff
13×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×expm1-log1p-u sub-neg associate-*r/ prod-exp cbrt-unprod log1p-expm1-u 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 → 96
Calls
2 calls:
25.0ms
(* z (- y t))
13.0ms
(/ x (/ (* z (- y t)) 2.0))

series85.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* z (- y t))
46.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0433735
11861559
25001556

prune174.0ms

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)))

rewrite88.0ms

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×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 212
Calls
2 calls:
16.0ms
(/ x (/ (- y t) 2.0))
59.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ x (/ (- y t) 2.0))
48.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify97.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09191696
142841528
250011521

prune493.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 366
Calls
2 calls:
18.0ms
(/ x (/ (- y t) 2.0))
35.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series111.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ x (/ (- y t) 2.0))
78.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
013633876
150013759

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

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))))

rewrite121.0ms

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×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-prod rec-exp pow1/3 1-exp
1×pow-prod-down associate-/r/ *-commutative
Counts
4 → 158
Calls
4 calls:
61.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))
16.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
16.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
17.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))

series570.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))
180.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
174.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
168.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))

simplify87.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08431344
138831165
250011149

prune567.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes182.0ms

Accuracy

39.2% (3.4b remaining)

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

bsearch63.0ms

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
03014
13014

end0.0ms

sample544.0ms

Algorithm
intervals
Results
245.0ms8689×body80valid