Details

Time bar (total: 2.8s)

analyze5.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%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
Compiler

Compiled 7 to 7 computations (0% saved)

sample16.0ms (0.6%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify171.0ms (6.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
079
179

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.8b
(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite6.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×times-frac_binary64_773
10×add-sqr-sqrt_binary64_789 *-un-lft-identity_binary64_767 add-cube-cbrt_binary64_802
pow1_binary64_828
associate-/r*_binary64_711 log-pow_binary64_856
add-exp-log_binary64_805 associate-/l*_binary64_712 add-cbrt-cube_binary64_803
frac-2neg_binary64_778 cbrt-undiv_binary64_801 add-log-exp_binary64_806 div-exp_binary64_818 clear-num_binary64_766 div-inv_binary64_764
Counts
1 → 31
Calls

1 calls:

4.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))

series57.0ms (2.1%)

Counts
1 → 3
Calls

1 calls:

57.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))

simplify112.0ms (4%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
05096518

prune100.0ms (3.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New26834
Fresh000
Picked101
Done000
Total27835

Merged error: 0.0b

Counts
35 → 8
Compiler

Compiled 1404 to 1001 computations (28.7% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
0.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

rewrite46.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt_binary64_789
85×times-frac_binary64_773
52×*-un-lft-identity_binary64_767
51×sqrt-prod_binary64_783
46×add-cube-cbrt_binary64_802
26×add-exp-log_binary64_805
25×associate-*l*_binary64_708 associate-*r*_binary64_707
16×add-cbrt-cube_binary64_803
15×unswap-sqr_binary64_735
14×pow1_binary64_828
10×log-pow_binary64_856
div-exp_binary64_818
prod-exp_binary64_816
associate-/r*_binary64_711
cbrt-undiv_binary64_801
cbrt-unprod_binary64_800
associate-/l*_binary64_712 div-inv_binary64_764
1-exp_binary64_811 add-log-exp_binary64_806 rec-exp_binary64_817
frac-2neg_binary64_778 frac-times_binary64_777 *-commutative_binary64_698 associate-*r/_binary64_709 associate-*l/_binary64_710 pow-prod-down_binary64_838 clear-num_binary64_766
Counts
2 → 132
Calls

2 calls:

24.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
5.0ms
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

series153.0ms (5.5%)

Counts
2 → 6
Calls

2 calls:

96.0ms
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
57.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify97.0ms (3.5%)

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
051322592

prune235.0ms (8.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1344138
Fresh167
Picked101
Done000
Total13610146

Merged error: 0.0b

Counts
146 → 10
Compiler

Compiled 3786 to 2861 computations (24.4% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
0.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

rewrite44.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
76×add-exp-log_binary64_805
46×times-frac_binary64_773
43×add-sqr-sqrt_binary64_789
40×prod-exp_binary64_816
33×*-un-lft-identity_binary64_767
31×add-cube-cbrt_binary64_802
28×associate-*l*_binary64_708 add-cbrt-cube_binary64_803
26×associate-*r*_binary64_707 sqrt-prod_binary64_783
20×div-exp_binary64_818
15×pow1_binary64_828
12×cbrt-unprod_binary64_800
10×1-exp_binary64_811 rec-exp_binary64_817
cbrt-undiv_binary64_801 log-pow_binary64_856
unswap-sqr_binary64_735 associate-*r/_binary64_709
pow-prod-down_binary64_838
un-div-inv_binary64_765
frac-times_binary64_777 *-commutative_binary64_698 add-log-exp_binary64_806 div-inv_binary64_764
associate-*l/_binary64_710
Counts
2 → 117
Calls

2 calls:

18.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))
13.0ms
(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))

series144.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

89.0ms
(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
54.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify125.0ms (4.5%)

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
047351642
147351642

prune140.0ms (5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1221123
Fresh459
Picked011
Done000
Total1267133

Merged error: 0b

Counts
133 → 7
Compiler

Compiled 2208 to 1761 computations (20.2% saved)

localize14.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.8b
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
0.8b
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

rewrite53.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
51×sqrt-prod_binary64_783
48×add-sqr-sqrt_binary64_789
46×times-frac_binary64_773
35×*-un-lft-identity_binary64_767
34×add-exp-log_binary64_805
33×add-cube-cbrt_binary64_802
31×associate-*l*_binary64_708
30×associate-*r*_binary64_707 unpow-prod-down_binary64_846
19×prod-exp_binary64_816
10×pow1_binary64_828
add-cbrt-cube_binary64_803
pow-exp_binary64_835
unswap-sqr_binary64_735
log-pow_binary64_856
cbrt-unprod_binary64_800 div-exp_binary64_818
pow-to-exp_binary64_836 sqr-pow_binary64_739 *-commutative_binary64_698 1-exp_binary64_811 add-log-exp_binary64_806 rec-exp_binary64_817 div-inv_binary64_764
associate-*l/_binary64_710 pow-prod-down_binary64_838 sqrt-div_binary64_784
Counts
2 → 102
Calls

2 calls:

22.0ms
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
19.0ms
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series248.0ms (8.9%)

Counts
2 → 6
Calls

2 calls:

185.0ms
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
63.0ms
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))

simplify62.0ms (2.3%)

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
055362642

prune194.0ms (7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh235
Picked011
Done011
Total1096115

Merged error: 0b

Counts
115 → 6
Compiler

Compiled 3007 to 2604 computations (13.4% saved)

regimes48.0ms (1.7%)

Compiler

Compiled 355 to 347 computations (2.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01729
11729

end0.0ms (0%)

sample672.0ms (24.2%)

Algorithm
intervals
Results
319.0ms8000×body128valid
Compiler

Compiled 140 to 138 computations (1.4% saved)

Profiling

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