Details

Time bar (total: 7.2s)

analyze1.3s

Algorithm
search

sample35.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
6.0ms123×body80invalid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune18.0ms

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: 0.0b

Counts
2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* t a))
4.9b
(* (* a z) b)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity sum-log
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ flip-+
1×associate-+l+ associate-*l* *-commutative
Counts
3 → 42
Calls
3 calls:
2.0ms
(+ x (* y z))
5.0ms
(+ (+ x (* y z)) (* t a))
5.0ms
(* (* a z) b)

series26.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ x (* y z))
14.0ms
(+ (+ x (* y z)) (* t a))
6.0ms
(* (* a z) b)

simplify37.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0262221
11167197
25002197

prune77.0ms

Filtered
38 candidates to 51 candidates (-34.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New47451
Fresh011
Picked101
Done000
Total48553

Merged error: 0.0b

Counts
53 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (* a z) b)
10.6b
(cbrt (* (* a z) b))
10.6b
(cbrt (* (* a z) b))
10.6b
(cbrt (* (* a z) b))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
1×associate-*l* *-commutative
Counts
4 → 45
Calls
4 calls:
5.0ms
(* (* a z) b)
3.0ms
(cbrt (* (* a z) b))
3.0ms
(cbrt (* (* a z) b))
4.0ms
(cbrt (* (* a z) b))

series69.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* a z) b)
22.0ms
(cbrt (* (* a z) b))
20.0ms
(cbrt (* (* a z) b))
21.0ms
(cbrt (* (* a z) b))

simplify72.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0184304
1742268
23451247
35002217

prune78.0ms

Filtered
45 candidates to 57 candidates (-26.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New56157
Fresh224
Picked101
Done000
Total59362

Merged error: 0.0b

Counts
62 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (* a z) b)
10.4b
(cbrt (* a z))
10.6b
(cbrt (* (* a z) b))
10.6b
(cbrt (* (* a z) b))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
1×associate-*l* *-commutative
Counts
4 → 45
Calls
4 calls:
5.0ms
(* (* a z) b)
2.0ms
(cbrt (* a z))
3.0ms
(cbrt (* (* a z) b))
4.0ms
(cbrt (* (* a z) b))

series96.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (* a z) b)
23.0ms
(cbrt (* a z))
35.0ms
(cbrt (* (* a z) b))
28.0ms
(cbrt (* (* a z) b))

simplify88.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0224283
1836249
23910200
35002200

prune70.0ms

Filtered
43 candidates to 57 candidates (-32.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New57057
Fresh022
Picked011
Done000
Total57360

Merged error: 0.0b

Counts
60 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* a (+ t (* z b))))
3.1b
(* a (+ t (* z b)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
3.0ms
(+ x (* a (+ t (* z b))))
7.0ms
(* a (+ t (* z b)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ x (* a (+ t (* z b))))
13.0ms
(* a (+ t (* z b)))

simplify138.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0211205
1905187
24758187
35002187

prune61.0ms

Filtered
30 candidates to 41 candidates (-36.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New40141
Fresh011
Picked011
Done011
Total40444

Merged error: 0.0b

Counts
44 → 4

regimes491.0ms

Accuracy

24% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.1b

bsearch2.1s

Steps
ItersRangePoint
9
1.7176747722705328e-183
6.046113196783334e-178
9.991331333094767e-179

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04123
14123

end0.0ms

analyze1.3s

Algorithm
search

sample951.0ms

Algorithm
intervals
Results
387.0ms8000×body80valid
178.0ms3644×body80invalid

Profiling

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