Details

Time bar (total: 5.5s)

sample19.0ms

Algorithm
intervals
Results
8.0ms279×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: 6.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
0.0b
(* z (- y t))
6.2b
(/ x (/ (* z (- y t)) 2.0))

rewrite26.0ms

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:
7.0ms
(/ (* z (- y t)) 2.0)
7.0ms
(* z (- y t))
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series133.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (* z (- y t)) 2.0)
40.0ms
(* z (- y t))
44.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0413592
11829518
25002515

prune225.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.6b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite239.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)
208.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series619.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
184.0ms
(cbrt x)
183.0ms
(cbrt x)
75.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
366 → 366
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
016574308
150024200

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (/ (* (cbrt z) (cbrt z)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))) (* (/ (cbrt (cbrt x)) (/ (cbrt z) (cbrt (cbrt x)))) (/ (cbrt x) (/ (- y t) 2.0))))
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
831×add-exp-log
378×cbrt-undiv div-exp
373×add-cbrt-cube
339×prod-exp cbrt-unprod
10×associate-*l*
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
5×frac-times associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
2×div-inv
1×associate-*r* associate-/r/ *-commutative
Counts
4 → 281
Calls
4 calls:
73.0ms
(* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (/ (* (cbrt z) (cbrt z)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))) (* (/ (cbrt (cbrt x)) (/ (cbrt z) (cbrt (cbrt x)))) (/ (cbrt x) (/ (- y t) 2.0))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series601.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (/ (* (cbrt z) (cbrt z)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))) (* (/ (cbrt (cbrt x)) (/ (cbrt z) (cbrt (cbrt x)))) (/ (cbrt x) (/ (- y t) 2.0))))
194.0ms
(cbrt z)
182.0ms
(cbrt z)
181.0ms
(cbrt z)

simplify88.0ms

Algorithm
egg-herbie
Counts
293 → 293
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
0161710479
150016993

prune579.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.8b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite53.0ms

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:
8.0ms
(/ x (/ (- y t) 2.0))
32.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ x (/ (- y t) 2.0))
49.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify94.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
09151676
142801508
250011501

prune457.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

3.5% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.6b

bsearch88.0ms

Steps
ItersRangePoint
9
1.4522094872280968e+132
1.5429413805221278e+137
1.567521217467982e+132
7
-1.5855513606305376e-300
-4.6607623142939227e-302
-7.516801027411023e-302

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03232
13232

end0.0ms

sample477.0ms

Algorithm
intervals
Results
265.0ms8725×body80valid