Details

Time bar (total: 5.7s)

sample19.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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

series130.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (* z (- y t)) 2.0)
39.0ms
(* z (- y t))
43.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0413592
11829518
25002515

prune230.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.1b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite288.0ms

Algorithm
rewrite-expression-head
Rules
536×times-frac
421×add-sqr-sqrt
259×*-un-lft-identity
225×cbrt-prod
223×add-cube-cbrt
137×associate-*l*
119×associate-*r*
40×add-exp-log
35×unswap-sqr
25×add-cbrt-cube
18×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
14×div-inv
9×prod-exp cbrt-unprod
6×pow1
4×add-log-exp
3×pow1/3
2×associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 354
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
260.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series632.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
188.0ms
(cbrt x)
184.0ms
(cbrt x)
77.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
366 → 366
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
016574308
150014200

prune1.5s

Pruning

11 alts after pruning (10 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)))

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))
44.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (/ (- y t) 2.0))
50.0ms
(* (/ 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

prune469.0ms

Pruning

8 alts after pruning (8 fresh and 0 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)

rewrite63.0ms

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:
12.0ms
(/ x (/ (- y t) 2.0))
24.0ms
(/ (/ 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)

simplify72.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013593858
150023741

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes157.0ms

Accuracy

28% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 4.8b

bsearch78.0ms

Steps
ItersRangePoint
8
1.8078460056449616e+54
4.410176380362178e+58
1.8521084509729285e+55
8
-8.628191100553707e+143
-3.775313570476431e+140
-4.153874470399979e+140

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03523
13723
23923
33923

end0.0ms

sample479.0ms

Algorithm
intervals
Results
263.0ms8704×body80valid