Details

Time bar (total: 3.6s)

sample21.0ms

Algorithm
intervals
Results
8.0ms281×body80valid

simplify20.0ms

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: 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))

rewrite41.0ms

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:
25.0ms
(* z (- y t))
14.0ms
(/ x (/ (* z (- y t)) 2.0))

series70.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* z (- y t))
40.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0353467
11535417
25001414

prune159.0ms

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)))

rewrite94.0ms

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:
16.0ms
(/ x (/ (- y t) 2.0))
65.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ x (/ (- y t) 2.0))
47.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify99.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09151676
142801508
250011501

prune477.0ms

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×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 228
Calls
3 calls:
11.0ms
(/ 2.0 (- y t))
23.0ms
(/ (/ 2.0 (- y t)) z)
53.0ms
(* x (/ (/ 2.0 (- y t)) z))

series174.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 2.0 (- y t))
67.0ms
(/ (/ 2.0 (- y t)) z)
70.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify82.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07451638
134211557
250011557

prune550.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

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)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
228×times-frac
107×add-sqr-sqrt
105×*-un-lft-identity
103×add-cube-cbrt
48×add-exp-log
28×div-exp associate-/r* add-cbrt-cube
22×div-inv
14×cbrt-undiv
10×associate-/l*
6×pow1
5×associate-*r* prod-exp
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in 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 → 206
Calls
3 calls:
21.0ms
(* z (- y t))
27.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
22.0ms
(/ (/ (* z (- y t)) 2.0) x)

series185.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* z (- y t))
90.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
58.0ms
(/ (/ (* z (- y t)) 2.0) x)

simplify97.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08281836
141831598
250021457

prune334.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes123.0ms

Accuracy

54.6% (2.4b remaining)

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

bsearch72.0ms

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

sample659.0ms

Algorithm
intervals
Results
292.0ms8744×body80valid