Details

Time bar (total: 7.0s)

sample36.0ms

Algorithm
intervals
Results
22.0ms273×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.1b
(/ x (/ (* z (- y t)) 2.0))

rewrite19.0ms

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:
10.0ms
(* z (- y t))
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series83.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
49.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0353467
11535417
25001414

prune176.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.4b
(* (/ 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:
12.0ms
(/ x (/ (- y t) 2.0))
41.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ x (/ (- y t) 2.0))
45.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify95.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
09151676
142801508
250011501

prune479.0ms

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))
4.4b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite64.0ms

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:
32.0ms
(/ x (/ (- y t) 2.0))
78.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify67.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013593858
150023741

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ (- y t) 2.0) x)
0.6b
(/ 1 (/ (/ (- y t) 2.0) x))
4.4b
(/ (/ 1 (/ (/ (- y t) 2.0) x)) z)

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
3228×times-frac
1622×add-sqr-sqrt *-un-lft-identity
1310×add-cube-cbrt
210×associate-/l*
156×distribute-lft-out-- difference-of-squares
75×div-inv
67×associate-/r*
61×add-exp-log
43×div-exp
31×add-cbrt-cube
19×cbrt-undiv
6×rec-exp 1-exp
5×associate-/r/
4×pow1
3×frac-2neg clear-num add-log-exp
2×div-sub associate-/l/
1×pow-flip inv-pow
Counts
3 → 1147
Calls
3 calls:
12.0ms
(/ (/ (- y t) 2.0) x)
20.0ms
(/ 1 (/ (/ (- y t) 2.0) x))
68.0ms
(/ (/ 1 (/ (/ (- y t) 2.0) x)) z)

series252.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (/ (- y t) 2.0) x)
84.0ms
(/ 1 (/ (/ (- y t) 2.0) x))
130.0ms
(/ (/ 1 (/ (/ (- y t) 2.0) x)) z)

simplify205.0ms

Algorithm
egg-herbie
Counts
1156 → 1156
Iterations

Useful iterations: 1 (60.0ms)

IterNodesCost
0406615537
1500114882

prune2.9s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes145.0ms

Accuracy

42.4% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 5.3b

bsearch100.0ms

Steps
ItersRangePoint
11
2.6508783292860665e-208
8.280185951283791e-182
8.15072831329156e-182
9
-8.70047645783073e+79
-8.356946601526902e+74
-2.7183563329919357e+77

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02916
12916

end0.0ms

sample717.0ms

Algorithm
intervals
Results
496.0ms8747×body80valid