Details

Time bar (total: 2.4s)

sample29.0ms

Algorithm
intervals
Results
10.0ms283×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01739
11739

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.0b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.7b
(/ 2.0 (* z (- y t)))
5.0b
(* x (/ 2.0 (* z (- y t))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
14×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt
7×pow1 associate-*r/
6×times-frac associate-*l* prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in pow-prod-down *-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
3 → 78
Calls
3 calls:
6.0ms
(* z (- y t))
6.0ms
(/ 2.0 (* z (- y t)))
9.0ms
(* x (/ 2.0 (* z (- y t))))

series25.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* z (- y t))
7.0ms
(/ 2.0 (* z (- y t)))
12.0ms
(* x (/ 2.0 (* z (- y t))))

simplify34.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05684678

prune92.0ms

Filtered
57 candidates to 87 candidates (-52.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New83487
Fresh101
Picked101
Done000
Total85489

Merged error: 0.0b

Counts
89 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp
3×associate-*l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* z (- y t))
7.0ms
(/ (* x 2.0) (* z (- y t)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* z (- y t))
12.0ms
(/ (* x 2.0) (* z (- y t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04979427
14979427

prune51.0ms

Filtered
32 candidates to 55 candidates (-71.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New54155
Fresh033
Picked011
Done000
Total54559

Merged error: 0.0b

Counts
59 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 2.0 z) (- y t))
5.0b
(* x (/ (/ 2.0 z) (- y t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
171×add-sqr-sqrt
162×*-un-lft-identity
108×add-cube-cbrt
71×associate-*r*
27×distribute-lft-out-- difference-of-squares
16×add-exp-log add-cbrt-cube
13×div-inv associate-/l*
6×cbrt-undiv div-exp
5×associate-/r*
4×pow1 associate-/r/
3×associate-*l* prod-exp cbrt-unprod unswap-sqr
2×flip3-- flip-- add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 193
Calls
2 calls:
8.0ms
(/ (/ 2.0 z) (- y t))
21.0ms
(* x (/ (/ 2.0 z) (- y t)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (/ 2.0 z) (- y t))
15.0ms
(* x (/ (/ 2.0 z) (- y t)))

simplify68.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050312486

prune209.0ms

Filtered
145 candidates to 199 candidates (-37.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1972199
Fresh033
Picked011
Done011
Total1977204

Merged error: 0b

Counts
204 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
3.0b
(* (* x (/ (sqrt 2.0) (* (cbrt (- y t)) (cbrt (- y t))))) (/ (/ (sqrt 2.0) z) (cbrt (- y t))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
320×times-frac
206×add-sqr-sqrt *-un-lft-identity
182×associate-*r*
156×add-cube-cbrt
125×cbrt-prod
72×sqrt-prod
58×add-exp-log
44×add-cbrt-cube
25×distribute-lft-out-- difference-of-squares
24×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
9×pow1 div-inv
8×cbrt-div
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
2×associate-/r/
1×frac-times associate-*l* associate-*l/ *-commutative
Counts
4 → 265
Calls
4 calls:
5.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
47.0ms
(* (* x (/ (sqrt 2.0) (* (cbrt (- y t)) (cbrt (- y t))))) (/ (/ (sqrt 2.0) z) (cbrt (- y t))))

series112.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- y t))
30.0ms
(cbrt (- y t))
27.0ms
(cbrt (- y t))
28.0ms
(* (* x (/ (sqrt 2.0) (* (cbrt (- y t)) (cbrt (- y t))))) (/ (/ (sqrt 2.0) z) (cbrt (- y t))))

simplify112.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
051595047

prune317.0ms

Filtered
151 candidates to 277 candidates (-83.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2770277
Fresh044
Picked011
Done022
Total2777284

Merged error: 0b

Counts
284 → 7

regimes367.0ms

Accuracy

47.2% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 4.9b

bsearch32.0ms

Steps
ItersRangePoint
9
1.147892497186234e-104
4.8108530703107274e-99
8.309477695978754e-100
4
-1.4098827006713009e+26
-9.743206638213567e+25
-1.1784903685947683e+26

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03150
13150

end0.0ms

sample680.0ms

Algorithm
intervals
Results
309.0ms8779×body80valid

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