Details

Time bar (total: 3.2s)

sample42.0ms

Algorithm
intervals
Results
18.0ms501×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.4b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.9b
(* (* y 4.0) (- (* z z) t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-log-exp
6×add-sqr-sqrt sub-neg
4×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in associate-*r* associate--r+
3×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
2×diff-log associate-*r/ difference-of-squares
1×associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
4.0ms
(- (* z z) t)
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms
(* (* y 4.0) (- (* z z) t))

series36.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- (* z z) t)
20.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
12.0ms
(* (* y 4.0) (- (* z z) t))

simplify44.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0292385
11348342
25001337

prune93.0ms

Filtered
41 candidates to 63 candidates (-53.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New56763
Fresh000
Picked101
Done000
Total57764

Merged error: 3.2b

Counts
64 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
0.0b
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
10.5b
(* (* y 4.0) (* z z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log add-cbrt-cube
10×add-log-exp
8×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt distribute-rgt-neg-out
3×add-cube-cbrt *-un-lft-identity
2×diff-log unsub-neg sum-log associate--r-
1×+-commutative sub-neg flip3-- flip3-+ associate-*r* associate-*l* *-commutative flip-- flip-+ distribute-lft-out associate--r+ difference-of-squares
Counts
3 → 53
Calls
3 calls:
7.0ms
(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
8.0ms
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
7.0ms
(* (* y 4.0) (* z z))

series43.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
21.0ms
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
7.0ms
(* (* y 4.0) (* z z))

simplify55.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0314491
11440398
25001390

prune78.0ms

Filtered
38 candidates to 62 candidates (-63.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New61162
Fresh336
Picked011
Done000
Total64569

Merged error: 0.0b

Counts
69 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
0.0b
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
0.2b
(* (* (* y 4.0) z) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-cbrt-cube
10×add-log-exp
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt
4×add-cube-cbrt *-un-lft-identity distribute-rgt-neg-out
3×associate-*r*
2×diff-log unsub-neg sum-log associate--r-
1×+-commutative sub-neg flip3-- flip3-+ associate-*l* *-commutative flip-- flip-+ associate--r+ difference-of-squares
Counts
3 → 51
Calls
3 calls:
10.0ms
(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
7.0ms
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
7.0ms
(* (* (* y 4.0) z) z)

series42.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
20.0ms
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
8.0ms
(* (* (* y 4.0) z) z)

simplify60.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0323488
11585427
25001382

prune91.0ms

Filtered
39 candidates to 60 candidates (-53.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New58260
Fresh033
Picked011
Done011
Total58765

Merged error: 0.0b

Counts
65 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
19.8b
(cbrt (* (* (* y 4.0) z) z))
19.8b
(cbrt (* (* (* y 4.0) z) z))
19.8b
(cbrt (* (* (* y 4.0) z) z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
7.0ms
(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
5.0ms
(cbrt (* (* (* y 4.0) z) z))
5.0ms
(cbrt (* (* (* y 4.0) z) z))
5.0ms
(cbrt (* (* (* y 4.0) z) z))

series100.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
23.0ms
(cbrt (* (* (* y 4.0) z) z))
25.0ms
(cbrt (* (* (* y 4.0) z) z))
23.0ms
(cbrt (* (* (* y 4.0) z) z))

simplify106.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0222561
1730496
23728429
35001423

prune135.0ms

Filtered
52 candidates to 70 candidates (-34.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh044
Picked011
Done022
Total70777

Merged error: 0.0b

Counts
77 → 7

regimes858.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209
1249
2319
3319

end0.0ms

sample1.2s

Algorithm
intervals
Results
571.0ms15720×body80valid

Profiling

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