Details

Time bar (total: 5.2s)

analyze187.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
12.5%43.7%43.8%7
12.5%43.7%43.8%8
25%28.1%47%9
28.1%20.3%51.6%10
28.1%20.3%51.6%11
34.3%13.3%52.4%12
35.9%9.8%54.4%13
35.9%9.8%54.4%14

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms11×body80invalid
0.0msbody80nan

simplify78.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
068318
168318

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b
(+.f64 (-.f64 1 z) (log.f64 z))
0.2b
(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity_binary64
pow1_binary64
add-log-exp_binary64 distribute-lft-out_binary64 add-sqr-sqrt_binary64
associate-*r*_binary64
add-cube-cbrt_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-+r+_binary64
log-pow_binary64 distribute-lft-out--_binary64
flip3-+_binary64 log-prod_binary64 associate-*l*_binary64 insert-posit16 flip-+_binary64 sum-log_binary64
associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 +-commutative_binary64
pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 cbrt-unprod_binary64 associate-+l+_binary64 associate-+l-_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
3 → 63
Calls
3 calls:
8.0ms
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
10.0ms
(+.f64 (-.f64 1 z) (log.f64 z))
13.0ms
(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

series1.4s

Counts
3 → 9
Calls
3 calls:
53.0ms
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
714.0ms
(+.f64 (-.f64 1 z) (log.f64 z))
636.0ms
(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
0221919
1221919
0221919
1221919
013
113
095379
195379
095379
195379
013
113
0679
1679
0679
1679
013
113

simplify79.0ms

Counts
72 → 72
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05035976

prune64.0ms

Filtered
49 candidates to 72 candidates (-46.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New66672
Fresh000
Picked101
Done000
Total67673

Merged error: 0b

Counts
73 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 y (+.f64 (+.f64 (-.f64 1 z) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z))))
0.2b
(+.f64 (+.f64 (-.f64 1 z) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64
12×add-sqr-sqrt_binary64
10×add-log-exp_binary64 add-cube-cbrt_binary64
cbrt-prod_binary64
pow1_binary64
log-prod_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-+r+_binary64
associate-*r*_binary64 sum-log_binary64
distribute-lft-out_binary64 insert-posit16
associate-*l*_binary64
flip3-+_binary64 associate-*r/_binary64 pow1/3_binary64 log-pow_binary64 associate-+l-_binary64 flip-+_binary64
pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 associate-+l+_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 *-commutative_binary64
Counts
4 → 73
Calls
4 calls:
16.0ms
(*.f64 y (+.f64 (+.f64 (-.f64 1 z) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z))))
15.0ms
(+.f64 (+.f64 (-.f64 1 z) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
2.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series1.5s

Counts
4 → 12
Calls
4 calls:
571.0ms
(*.f64 y (+.f64 (+.f64 (-.f64 1 z) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z))))
817.0ms
(+.f64 (+.f64 (-.f64 1 z) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
42.0ms
(cbrt.f64 z)
45.0ms
(cbrt.f64 z)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0189
1189
0189
1189
013
113
0189
1189
0189
1189
013
113
0116409
1116409
0116409
1116409
013
113
0120959
1120959
0120959
1120959
013
113

simplify79.0ms

Counts
85 → 85
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050111112

prune86.0ms

Filtered
65 candidates to 85 candidates (-30.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh235
Picked011
Done000
Total86591

Merged error: 0b

Counts
91 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) y)
0.3b
(*.f64 (log.f64 (cbrt.f64 z)) y)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
pow1_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
associate-*r*_binary64 cbrt-prod_binary64
add-log-exp_binary64 insert-posit16
pow1/3_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 log-pow_binary64 unswap-sqr_binary64 prod-exp_binary64 associate-*l/_binary64 *-commutative_binary64
flip3-+_binary64 flip-+_binary64
Counts
4 → 66
Calls
4 calls:
12.0ms
(*.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) y)
6.0ms
(*.f64 (log.f64 (cbrt.f64 z)) y)
1.0ms
(cbrt.f64 z)
2.0ms
(cbrt.f64 z)

series284.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(*.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) y)
53.0ms
(*.f64 (log.f64 (cbrt.f64 z)) y)
45.0ms
(cbrt.f64 z)
47.0ms
(cbrt.f64 z)
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
0189
1189
0189
1189
013
113
0189
1189
0189
1189
013
113
0639
1639
0639
1639
013
113
011329
111329
011329
111329
013
113

simplify93.0ms

Counts
78 → 78
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05139805

prune75.0ms

Filtered
59 candidates to 78 candidates (-32.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done011
Total78583

Merged error: 0b

Counts
83 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))
0.5b
(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
0.5b
(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
0.5b
(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
143×*-un-lft-identity_binary64
93×cbrt-prod_binary64
60×distribute-lft-out_binary64
41×pow1_binary64
30×swap-sqr_binary64 log-pow_binary64 distribute-lft-out--_binary64
23×add-sqr-sqrt_binary64
18×cbrt-div_binary64
15×add-cube-cbrt_binary64
10×associate-*r*_binary64 associate-*l*_binary64
flip3-+_binary64 pow1/3_binary64 flip-+_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 insert-posit16 frac-times_binary64
pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 135
Calls
4 calls:
28.0ms
(*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))
9.0ms
(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
9.0ms
(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
9.0ms
(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))

series216.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))
48.0ms
(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
49.0ms
(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
47.0ms
(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0569
1569
0569
1569
013
113
0569
1569
0569
1569
013
113
0569
1569
0569
1569
013
113
05969
15969
05969
15969
013
113

simplify95.0ms

Counts
147 → 147
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
051292981

prune131.0ms

Filtered
76 candidates to 147 candidates (-93.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1470147
Fresh022
Picked011
Done022
Total1475152

Merged error: 0b

Counts
152 → 5

regimes89.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03533
13533

end0.0ms

sample562.0ms

Algorithm
intervals
Results
363.0ms8000×body80valid
14.0ms334×body80invalid
2.0ms69×body80nan

Profiling

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