Details

Time bar (total: 4.1s)

sample23.0ms

Algorithm
intervals
Results
10.0ms275×body80valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
7.4b
(/ x (/ (* z (- y t)) 2.0))

rewrite35.0ms

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:
20.0ms
(* z (- y t))
12.0ms
(/ x (/ (* z (- y t)) 2.0))

series75.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* z (- y t))
44.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0353467
11535417
25001414

prune164.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.0b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite83.0ms

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:
14.0ms
(/ x (/ (- y t) 2.0))
57.0ms
(* (/ 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)))

simplify97.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
09151676
142801508
250011501

prune452.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.0b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite78.0ms

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))
33.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series99.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ x (/ (- y t) 2.0))
71.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify69.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013593858
150023741

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

6.7b
(/ (/ x z) (/ (- y t) 2.0))

rewrite50.0ms

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:
28.0ms
(/ (/ x z) (/ (- y t) 2.0))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
015643639
150013547

prune689.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes143.0ms

Accuracy

45.6% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 5.1b

bsearch75.0ms

Steps
ItersRangePoint
8
1.9153789761019974e+27
2.4085743611960823e+30
2.6699901378489142e+29
8
-4.363698332963809e+184
-2.263228659900385e+180
-2.3207418833731775e+180

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02813
12813

end0.0ms

sample545.0ms

Algorithm
intervals
Results
245.0ms8734×body80valid