Details

Time bar (total: 3.9s)

sample18.0ms

Algorithm
intervals
Results
8.0ms274×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.9b
(/ x (/ (* z (- y t)) 2.0))

rewrite21.0ms

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:
12.0ms
(* z (- y t))
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series82.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* z (- y t))
45.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0353467
11535417
25001414

prune167.0ms

Filtered
80 candidates to 57 candidates (71.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.9b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite67.0ms

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))
45.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (/ (- y t) 2.0))
49.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify96.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
09151676
143101508
250011501

prune511.0ms

Filtered
214 candidates to 149 candidates (69.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.8b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite66.0ms

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:
9.0ms
(/ x (/ (- y t) 2.0))
25.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series109.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (/ (- y t) 2.0))
78.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify73.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013593858
150023741

prune1.0s

Filtered
368 candidates to 283 candidates (76.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

5.1b
(/ (/ x z) (/ (- y t) 2.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
637×times-frac
351×add-sqr-sqrt *-un-lft-identity
267×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
35×div-inv
19×associate-/r*
13×add-exp-log add-cbrt-cube associate-/l*
8×cbrt-undiv div-exp
1×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
Counts
1 → 299
Calls
1 calls:
19.0ms
(/ (/ x z) (/ (- y t) 2.0))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015643639
150013547

prune710.0ms

Filtered
302 candidates to 217 candidates (71.9%)
Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes143.0ms

Accuracy

61.1% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 5.7b

bsearch61.0ms

Steps
ItersRangePoint
4
3.723640185477412e+62
6.632739157271252e+62
4.673827175622207e+62
9
-2.355035228211621e+66
-1.5442358469082974e+61
-1.9544219270237285e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02713
12913
22913

end0.0ms

sample471.0ms

Algorithm
intervals
Results
261.0ms8774×body80valid