Details

Time bar (total: 2.9s)

sample34.0ms

Algorithm
intervals
Results
23.0ms290×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
associate-/r*
cbrt-undiv div-exp div-inv
associate-/l*
pow1 frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod add-log-exp
Counts
1 → 48
Calls
1 calls:
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series48.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify32.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0279366
11211329
25001328

prune122.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 2.0 (* z (- y t)))
4.5b
(* x (/ 2.0 (* z (- y t))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
add-sqr-sqrt associate-*r*
add-cube-cbrt *-un-lft-identity
times-frac
associate-*r/ prod-exp cbrt-unprod
pow1 cbrt-undiv div-exp associate-/r/
associate-*l* associate-/l*
flip3-- flip-- div-inv add-log-exp
frac-2neg pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 52
Calls
2 calls:
5.0ms
(/ 2.0 (* z (- y t)))
15.0ms
(* x (/ 2.0 (* z (- y t))))

series77.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ 2.0 (* z (- y t)))
47.0ms
(* x (/ 2.0 (* z (- y t))))

simplify31.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0229292
11058235
25001235

prune128.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
4.6b
(/ (/ (* z (- y t)) 2.0) x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
228×times-frac
100×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
45×add-exp-log
28×div-exp associate-/r*
25×add-cbrt-cube
22×div-inv
14×cbrt-undiv
10×associate-/l*
rec-exp 1-exp prod-exp
pow1
frac-2neg clear-num cbrt-unprod add-log-exp
pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 180
Calls
2 calls:
14.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
7.0ms
(/ (/ (* z (- y t)) 2.0) x)

series171.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
71.0ms
(/ (/ (* z (- y t)) 2.0) x)

simplify82.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07581735
137981510
250011374

prune285.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 2.0 (* z (- y t)))
4.5b
(/ (/ 2.0 (* z (- y t))) (/ 1 x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
102×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×add-exp-log
31×associate-/r/
30×associate-*r/
28×div-exp add-cbrt-cube
26×div-inv
15×cbrt-undiv flip3-- flip--
14×associate-/r*
12×associate-/l*
prod-exp
rec-exp 1-exp cbrt-unprod
pow1 frac-2neg clear-num add-log-exp
associate-/l/
Counts
2 → 192
Calls
2 calls:
5.0ms
(/ 2.0 (* z (- y t)))
13.0ms
(/ (/ 2.0 (* z (- y t))) (/ 1 x))

series132.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ 2.0 (* z (- y t)))
98.0ms
(/ (/ 2.0 (* z (- y t))) (/ 1 x))

simplify94.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010202000
149961720
250011720

prune375.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes149.0ms

Accuracy

47% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 5.8b

bsearch151.0ms

Steps
ItersRangePoint
7
8.26033697589107e-52
1.9586199034170327e-50
1.827128106419149e-51
5
2.132403647648476e-230
6.748727538830997e-230
2.3904605014014527e-230
7
-9.320325772220756e-304
-2.1407810415923667e-305
-2.164808177348817e-305
6
-2.5227571926526275e+91
-3.0093764717053964e+90
-3.2537193603035936e+90

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03625
13625

end0.0ms

sample869.0ms

Algorithm
intervals
Results
627.0ms8800×body80valid