Details

Time bar (total: 2.3s)

sample25.0ms

Algorithm
intervals
Results
10.0ms274×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 3.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
3.6b
(/ x (/ (* z (- y t)) 2.0))

rewrite19.0ms

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
associate-/r*
cbrt-undiv div-exp associate-*r* div-inv
pow1
associate-*l* associate-/l*
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ prod-exp cbrt-unprod add-log-exp
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:
10.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series19.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0353467
11535417
25002414

prune113.0ms

Filtered
80 candidates to 57 candidates (28.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New74680
Fresh000
Picked011
Done000
Total74781

Merged error: 0b

Counts
81 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
3.4b
(* x (/ (/ 2.0 (- y t)) z))

rewrite47.0ms

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
flip3-- associate-/r* flip--
cbrt-undiv div-exp
pow1
associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
frac-2neg clear-num
associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 228
Calls
3 calls:
7.0ms
(/ 2.0 (- y t))
8.0ms
(/ (/ 2.0 (- y t)) z)
20.0ms
(* x (/ (/ 2.0 (- y t)) z))

series30.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
10.0ms
(/ (/ 2.0 (- y t)) z)
15.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify81.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07421638
134181557
250021557

prune266.0ms

Filtered
237 candidates to 177 candidates (25.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2352237
Fresh235
Picked101
Done011
Total2386244

Merged error: 0b

Counts
244 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y t) z)
0.8b
(/ 2.0 (* (- y t) z))
3.4b
(* x (/ 2.0 (* (- y t) z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
12×*-un-lft-identity associate-*r*
10×add-cube-cbrt
associate-*l*
pow1
times-frac associate-*l/ prod-exp cbrt-unprod
cbrt-undiv div-exp associate-/r/
flip3-- flip-- associate-/l* add-log-exp
pow-prod-down *-commutative div-inv unswap-sqr
frac-2neg associate-*r/ clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
3 → 74
Calls
3 calls:
6.0ms
(* (- y t) z)
6.0ms
(/ 2.0 (* (- y t) z))
9.0ms
(* x (/ 2.0 (* (- y t) z)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(* (- y t) z)
10.0ms
(/ 2.0 (* (- y t) z))
15.0ms
(* x (/ 2.0 (* (- y t) z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0270384
11299315
25001315

prune86.0ms

Filtered
83 candidates to 57 candidates (31.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New82183
Fresh134
Picked011
Done011
Total83689

Merged error: 0b

Counts
89 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

4.4b
(/ (/ x z) (/ (- y t) 2.0))

rewrite37.0ms

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*
cbrt-undiv div-exp
pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
Counts
1 → 299
Calls
1 calls:
13.0ms
(/ (/ x z) (/ (- y t) 2.0))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015643639
150013548

prune299.0ms

Filtered
302 candidates to 217 candidates (28.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3020302
Fresh033
Picked011
Done022
Total3026308

Merged error: 0b

Counts
308 → 6

regimes306.0ms

Accuracy

44.4% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 5.6b

bsearch44.0ms

Steps
ItersRangePoint
6
5.863062289189671e+247
3.7466977170519717e+248
1.5000263552966557e+248
7
2.6845298808565805e+121
1.11240795727302e+123
2.7279702890517728e+121
7
-7.300465153876247e+104
-1.162575716339897e+103
-1.1834878622195064e+103

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02916
12916

end0.0ms

sample703.0ms

Algorithm
intervals
Results
318.0ms8730×body80valid

Profiling

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