Details

Time bar (total: 4.1s)

sample35.0ms

Algorithm
intervals
Results
19.0ms501×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0196
1506
21596
33516
46096
57336
610686
713426
815066
915536
1015536

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.8b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.4b
(* (* y 4.0) (- (* z z) t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×sub-neg
4×distribute-rgt-in add-sqr-sqrt distribute-lft-in associate-*r* associate--r+ add-log-exp
3×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
2×flip3-- associate-*r/ flip--
1×diff-log associate-*l* *-commutative difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms
(* (* y 4.0) (- (* z z) t))

series141.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
65.0ms
(* (* y 4.0) (- (* z z) t))

simplify40.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0269322
11276286
25001281

prune87.0ms

Filtered
47 candidates to 29 candidates (61.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New42547
Fresh000
Picked011
Done000
Total42648

Merged error: 3.9b

Counts
48 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

4.1b
(cbrt (* (* y 4.0) (- (* z z) t)))
6.4b
(* (* y 4.0) (- (* z z) t))
6.4b
(* (* y 4.0) (- (* z z) t))
6.4b
(* (* y 4.0) (- (* z z) t))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
12×associate-*r*
10×add-sqr-sqrt
9×pow-prod-down prod-exp cbrt-unprod
8×associate-*r/
7×add-cube-cbrt *-un-lft-identity
6×distribute-rgt-in sub-neg distribute-lft-in
4×flip3-- flip-- add-log-exp
3×associate-*l* *-commutative difference-of-squares
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 86
Calls
4 calls:
7.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
8.0ms
(* (* y 4.0) (- (* z z) t))
8.0ms
(* (* y 4.0) (- (* z z) t))
12.0ms
(* (* y 4.0) (- (* z z) t))

series330.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
63.0ms
(* (* y 4.0) (- (* z z) t))
64.0ms
(* (* y 4.0) (- (* z z) t))
60.0ms
(* (* y 4.0) (- (* z z) t))

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0291616
11138518
25002507

prune214.0ms

Filtered
98 candidates to 61 candidates (62.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh044
Picked011
Done011
Total986104

Merged error: 3.9b

Counts
104 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
6.4b
(sqrt (- (* z z) t))
6.4b
(sqrt (- (* z z) t))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
18×add-exp-log sqrt-div add-cbrt-cube
16×add-sqr-sqrt sqrt-prod
14×associate-*r*
10×add-cube-cbrt *-un-lft-identity associate-*r/
9×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
4×frac-times add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* associate-*l/ *-commutative
Counts
4 → 89
Calls
4 calls:
10.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
16.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.0ms
(sqrt (- (* z z) t))
4.0ms
(sqrt (- (* z z) t))

series243.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
67.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
49.0ms
(sqrt (- (* z z) t))
54.0ms
(sqrt (- (* z z) t))

simplify55.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0370767
11766653
25002647

prune239.0ms

Filtered
101 candidates to 69 candidates (68.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New992101
Fresh123
Picked011
Done022
Total1007107

Merged error: 3.9b

Counts
107 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs (cbrt (- (* z z) t))) (sqrt (cbrt (- (* z z) t))))
6.4b
(sqrt (- (* z z) t))
6.9b
(cbrt (- (* z z) t))
6.9b
(cbrt (- (* z z) t))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
13×cbrt-prod sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
7×pow1
6×add-exp-log cbrt-div add-cbrt-cube
4×flip3-- sqrt-div flip-- add-log-exp difference-of-squares
3×associate-*l* unswap-sqr
2×pow1/3 associate-*r/
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
10.0ms
(* (fabs (cbrt (- (* z z) t))) (sqrt (cbrt (- (* z z) t))))
4.0ms
(sqrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))

series341.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (fabs (cbrt (- (* z z) t))) (sqrt (cbrt (- (* z z) t))))
54.0ms
(sqrt (- (* z z) t))
89.0ms
(cbrt (- (* z z) t))
90.0ms
(cbrt (- (* z z) t))

simplify104.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0320712
11060669
24178654
35001649

prune303.0ms

Filtered
85 candidates to 71 candidates (83.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done033
Total85792

Merged error: 3.9b

Counts
92 → 7

regimes610.0ms

Accuracy

85.3% (0.5b remaining)

Error of 3.0b against oracle of 2.5b and baseline of 5.9b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02516
12516

end0.0ms

sample1.0s

Algorithm
intervals
Results
635.0ms15719×body80valid

Profiling

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