Details

Time bar (total: 7.9s)

sample19.0ms

Algorithm
intervals
Results
8.0ms276×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: 6.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
0.0b
(* z (- y t))
6.5b
(/ x (/ (* z (- y t)) 2.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt
19×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×associate-*l* prod-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
6.0ms
(/ (* z (- y t)) 2.0)
13.0ms
(* z (- y t))
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series131.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (* z (- y t)) 2.0)
38.0ms
(* z (- y t))
44.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0413592
11829518
25002515

prune217.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
3.8b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite65.0ms

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))
42.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (/ (- y t) 2.0))
44.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify96.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
09151676
142801508
250011501

prune519.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
3.7b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite101.0ms

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))
37.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series106.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (/ (- y t) 2.0))
74.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify66.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013593858
150023741

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (/ x (/ (- y t) 2.0)) z)
18.2b
(cbrt (/ (/ x (/ (- y t) 2.0)) z))
18.2b
(cbrt (/ (/ x (/ (- y t) 2.0)) z))
18.2b
(cbrt (/ (/ x (/ (- y t) 2.0)) z))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
2070×times-frac
1101×add-sqr-sqrt *-un-lft-identity
867×add-cube-cbrt
570×cbrt-prod
117×distribute-lft-out-- difference-of-squares
62×associate-/l*
56×div-inv
13×add-exp-log associate-/r/ add-cbrt-cube
6×cbrt-undiv div-exp
4×pow1 add-log-exp
3×cbrt-div pow1/3 associate-/r*
1×frac-2neg clear-num associate-/l/
Counts
4 → 865
Calls
4 calls:
42.0ms
(/ (/ x (/ (- y t) 2.0)) z)
34.0ms
(cbrt (/ (/ x (/ (- y t) 2.0)) z))
30.0ms
(cbrt (/ (/ x (/ (- y t) 2.0)) z))
31.0ms
(cbrt (/ (/ x (/ (- y t) 2.0)) z))

series528.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ (/ x (/ (- y t) 2.0)) z)
155.0ms
(cbrt (/ (/ x (/ (- y t) 2.0)) z))
154.0ms
(cbrt (/ (/ x (/ (- y t) 2.0)) z))
147.0ms
(cbrt (/ (/ x (/ (- y t) 2.0)) z))

simplify160.0ms

Algorithm
egg-herbie
Counts
877 → 877
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
0170612781
1500112659

prune3.6s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes127.0ms

Accuracy

58% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 5.9b

bsearch63.0ms

Steps
ItersRangePoint
6
3.7729224303536434e-72
5.513142676583108e-71
4.967613250249513e-71
8
-4441316910930933.5
-651182450243.5647
-900492426030022.8

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1279
2279

end0.0ms

sample474.0ms

Algorithm
intervals
Results
252.0ms8764×body80valid