Details

Time bar (total: 6.0s)

analyze853.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms23×body80invalid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune15.0ms

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: 5.9b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
0.0b
(* z (- y t))
5.9b
(/ x (/ (* z (- y t)) 2.0))

rewrite22.0ms

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)
6.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series26.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (* z (- y t)) 2.0)
7.0ms
(* z (- y t))
11.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0413592
11829518
25002515

prune137.0ms

Filtered
76 candidates to 106 candidates (-39.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New997106
Fresh101
Picked101
Done000
Total1017108

Merged error: 0.0b

Counts
108 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.1b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite231.0ms

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)
1.0ms
(cbrt x)
198.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series80.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
20.0ms
(cbrt x)
21.0ms
(cbrt x)
16.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify71.0ms

Algorithm
egg-herbie
Counts
366 → 366
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
016764344
150024235

prune443.0ms

Filtered
320 candidates to 366 candidates (-14.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3642366
Fresh066
Picked011
Done000
Total3649373

Merged error: 0b

Counts
373 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
2.9b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt 1) (/ (* (cbrt (- y t)) (cbrt (- y t))) (* (cbrt 2.0) (cbrt 2.0)))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
409×times-frac
322×add-sqr-sqrt
207×cbrt-prod
161×*-un-lft-identity
147×add-cube-cbrt
137×associate-*l*
97×add-exp-log
49×unswap-sqr
45×cbrt-undiv div-exp
40×add-cbrt-cube
35×associate-*r*
30×prod-exp cbrt-unprod
14×div-inv
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 → 302
Calls
4 calls:
3.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
85.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt 1) (/ (* (cbrt (- y t)) (cbrt (- y t))) (* (cbrt 2.0) (cbrt 2.0)))))

series66.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
66.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt 1) (/ (* (cbrt (- y t)) (cbrt (- y t))) (* (cbrt 2.0) (cbrt 2.0)))))

simplify75.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014435827
150015239

prune895.0ms

Filtered
282 candidates to 308 candidates (-9.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3080308
Fresh077
Picked011
Done011
Total3089317

Merged error: 0b

Counts
317 → 9

localize6.0ms

Local error

Found 1 expressions with local error:

3.8b
(/ (/ 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*
8×cbrt-undiv div-exp
1×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))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
015643639
150013547

prune286.0ms

Filtered
217 candidates to 302 candidates (-39.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3011302
Fresh156
Picked011
Done112
Total3038311

Merged error: 0b

Counts
311 → 8

regimes316.0ms

Accuracy

17.5% (3.8b remaining)

Error of 3.8b against oracle of 0.0b and baseline of 4.7b

bsearch970.0ms

Steps
ItersRangePoint
9
4.32412276282306e+255
1.793869020485217e+263
9.107989062117343e+255
9
1.3676372619973018e+109
1.7071813365867783e+116
1.828976759401009e+110
6
-2.707255276685181e-262
-2.86766394930811e-263
-2.6425573559360607e-262

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02818
12818

end0.0ms

analyze625.0ms

Algorithm
search

sample525.0ms

Algorithm
intervals
Results
295.0ms8000×body80valid
23.0ms649×body80invalid

Profiling

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