Details

Time bar (total: 3.8s)

sample21.0ms

Algorithm
intervals
Results
8.0ms281×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: 4.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.7b
(/ x (/ (* z (- y t)) 2.0))

rewrite43.0ms

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:
26.0ms
(* z (- y t))
13.0ms
(/ x (/ (* z (- y t)) 2.0))

series72.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* z (- y t))
41.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0433735
11861559
25001556

prune179.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.5b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite93.0ms

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))
63.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series77.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (/ (- y t) 2.0))
43.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify107.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
09191696
142841528
250011521

prune468.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
4.6b
(* x (/ (/ 2.0 (- y t)) z))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac
180×add-sqr-sqrt
171×*-un-lft-identity
121×add-cube-cbrt
67×associate-*r*
25×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
16×associate-/r/
10×div-inv
8×flip3-- associate-/r* flip--
7×cbrt-undiv div-exp
5×pow1
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 234
Calls
3 calls:
11.0ms
(/ 2.0 (- y t))
24.0ms
(/ (/ 2.0 (- y t)) z)
53.0ms
(* x (/ (/ 2.0 (- y t)) z))

series177.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 2.0 (- y t))
68.0ms
(/ (/ 2.0 (- y t)) z)
71.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify86.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07511662
134341581
250011581

prune548.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.4b
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
4.6b
(/ (/ (* z (- y t)) 2.0) x)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
228×times-frac
119×add-sqr-sqrt
117×*-un-lft-identity
115×add-cube-cbrt
48×add-exp-log
28×div-exp associate-/r* add-cbrt-cube
22×div-inv
18×prod-diff
14×cbrt-undiv
11×distribute-rgt-in distribute-lft-in
10×associate-/l*
6×pow1
5×associate-*r* prod-exp
4×rec-exp 1-exp
3×expm1-log1p-u associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg frac-2neg associate-*r/ clear-num
1×flip3-- pow-flip pow-prod-down associate-/r/ *-commutative flip-- associate-/l/ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 230
Calls
3 calls:
22.0ms
(* z (- y t))
25.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
20.0ms
(/ (/ (* z (- y t)) 2.0) x)

series182.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* z (- y t))
89.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
58.0ms
(/ (/ (* z (- y t)) 2.0) x)

simplify103.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09102116
144971752
250011611

prune343.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes124.0ms

Accuracy

54.6% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 5.2b

bsearch71.0ms

Steps
ItersRangePoint
9
9.557195848858434e-13
8.43303239383745e-08
2.2894504286146635e-11
9
-1.934837206658559e-79
-2.5559299584827784e-85
-1.499166101974863e-79

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259

end0.0ms

sample768.0ms

Algorithm
intervals
Results
466.0ms8744×body80valid