Details

Time bar (total: 2.8s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
74.9%25%0.1%3
87.4%12.5%0.1%4
93.7%6.2%0.1%5
96.8%3.1%0.1%6
98.3%1.6%0.1%7
99.1%0.8%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14

sample22.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01112
11112

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.4b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 re re) (*.f64 im im))
0.6b
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10))
29.9b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac_binary64
22×log-pow_binary64
21×pow1_binary64
17×add-sqr-sqrt_binary64
16×*-un-lft-identity_binary64 add-cube-cbrt_binary64
6×pow1/2_binary64 sqrt-pow1_binary64 associate-/l*_binary64
5×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×associate-/r*_binary64 sqrt-div_binary64
3×flip3-+_binary64 sqrt-prod_binary64 flip-+_binary64
2×div-sub_binary64 log-div_binary64
1×cbrt-undiv_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64
Counts
3 → 74
Calls
3 calls:
6.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
8.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10))
4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
25.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10))
12.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049261163
149261163

prune112.0ms

Filtered
55 candidates to 83 candidates (-50.9%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New701383
Fresh000
Picked101
Done000
Total711384

Merged error: 8.0b

Counts
84 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 re re) (*.f64 im im))
0.3b
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
0.5b
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10)))
31.1b
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac_binary64
83×add-sqr-sqrt_binary64
54×sqrt-prod_binary64
53×*-un-lft-identity_binary64 add-cube-cbrt_binary64
34×pow1_binary64
32×associate-*r*_binary64
28×log-pow_binary64
25×associate-*l*_binary64
19×add-exp-log_binary64
18×add-cbrt-cube_binary64
9×unswap-sqr_binary64
7×associate-/r*_binary64
6×add-log-exp_binary64
5×cbrt-undiv_binary64 div-exp_binary64
4×cbrt-unprod_binary64 prod-exp_binary64 associate-/l*_binary64 log-div_binary64
3×flip3-+_binary64 log-prod_binary64 div-inv_binary64 flip-+_binary64
2×div-sub_binary64
1×pow-prod-down_binary64 rem-log-exp_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 frac-times_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 164
Calls
4 calls:
4.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
23.0ms
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
8.0ms
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10)))
4.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
21.0ms
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
23.0ms
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10)))
10.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

simplify91.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049412997
149412997

prune181.0ms

Filtered
104 candidates to 176 candidates (-69.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1679176
Fresh8412
Picked101
Done000
Total17613189

Merged error: 7.8b

Counts
189 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 re re) (*.f64 im im))
0.2b
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10))))
0.3b
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10)))))
31.1b
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log_binary64
46×add-sqr-sqrt_binary64 times-frac_binary64
36×*-un-lft-identity_binary64
34×add-cube-cbrt_binary64
30×add-cbrt-cube_binary64
29×associate-*l*_binary64
26×associate-*r*_binary64 sqrt-prod_binary64
22×prod-exp_binary64
19×pow1_binary64
12×cbrt-unprod_binary64
11×div-exp_binary64
8×log-pow_binary64
6×add-log-exp_binary64 cbrt-undiv_binary64
5×associate-*r/_binary64 unswap-sqr_binary64
4×pow-prod-down_binary64
3×log-prod_binary64 1-exp_binary64 rec-exp_binary64 un-div-inv_binary64
2×flip3-+_binary64 div-inv_binary64 log-div_binary64 flip-+_binary64 frac-times_binary64 *-commutative_binary64
1×rem-log-exp_binary64 +-commutative_binary64 associate-*l/_binary64 sum-log_binary64
Counts
4 → 133
Calls
4 calls:
11.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
21.0ms
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10))))
15.0ms
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10)))))
4.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
23.0ms
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10))))
21.0ms
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10)))))
11.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

simplify58.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049491972
149491972

prune142.0ms

Filtered
82 candidates to 145 candidates (-76.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1441145
Fresh11112
Picked101
Done000
Total14612158

Merged error: 7.8b

Counts
158 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 re re) (*.f64 im im))
0.3b
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))))
15.9b
(log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
16.5b
(pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt_binary64
44×times-frac_binary64
40×*-un-lft-identity_binary64 add-cube-cbrt_binary64
25×pow-unpow_binary64 associate-*l*_binary64 sqrt-prod_binary64
21×log-prod_binary64
13×pow1_binary64
12×add-exp-log_binary64 unpow-prod-down_binary64
9×add-cbrt-cube_binary64
8×log-pow_binary64
7×distribute-lft-in_binary64 distribute-rgt-in_binary64
6×add-log-exp_binary64
4×associate-*r*_binary64 sqr-pow_binary64
3×rem-log-exp_binary64 unswap-sqr_binary64
2×pow-to-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 div-inv_binary64 pow-exp_binary64
1×pow-prod-down_binary64 flip3-+_binary64 cbrt-undiv_binary64 pow-pow_binary64 div-exp_binary64 +-commutative_binary64 flip-+_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 128
Calls
4 calls:
7.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
14.0ms
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))))
5.0ms
(log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
8.0ms
(pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))

series131.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
50.0ms
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))))
36.0ms
(log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
38.0ms
(pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))

simplify77.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049432203
149432203

prune115.0ms

Filtered
82 candidates to 140 candidates (-70.7%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1391140
Fresh01111
Picked011
Done000
Total13913152

Merged error: 7.8b

Counts
152 → 13

regimes770.0ms

Accuracy

57.5% (10.3b remaining)

Error of 17.8b against oracle of 7.5b and baseline of 31.8b

bsearch70.0ms

Steps
ItersRangePoint
7
1088.5844466853032
34334.3875241759
33696.34187874525
10
1.5301627689075736e-261
1.1299112432006247e-251
4.97977832146901e-256
6
-1.6767514354442614e-245
-3.204001367056677e-246
-5.396105895291542e-246
10
-1.497385006257673e+94
-2.2564294724460247e+75
-1.3699735643448252e+94

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057106
157106

end0.0ms

sample616.0ms

Algorithm
intervals
Results
477.0ms8000×body80valid

Profiling

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