Details

Time bar (total: 2.0s)

analyze2.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2
Compiler

Compiled 8 to 6 computations (25% saved)

sample10.0ms (0.5%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify158.0ms (7.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0810
1810

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.3b

Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

14.3b
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite12.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
9×add-cube-cbrt_binary64_783 times-frac_binary64_757 *-un-lft-identity_binary64_751 add-sqr-sqrt_binary64_772
3×associate-/r*_binary64_697 add-cbrt-cube_binary64_784 add-exp-log_binary64_786 associate-/l*_binary64_698
2×associate-/r/_binary64_699
1×flip3-+_binary64_754 pow1_binary64_809 add-log-exp_binary64_787 div-inv_binary64_748 cbrt-undiv_binary64_782 frac-2neg_binary64_762 clear-num_binary64_750 flip-+_binary64_725 div-exp_binary64_799
Counts
1 → 29
Calls

1 calls:

10.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

series51.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

50.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

simplify55.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05078550

prune39.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New28432
Fresh000
Picked101
Done000
Total29433

Merged error: 0b

Counts
33 → 4
Compiler

Compiled 527 to 296 computations (43.8% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
0.0b
(/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))
14.2b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
14.2b
(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite35.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64_772
36×add-cube-cbrt_binary64_783 times-frac_binary64_757 *-un-lft-identity_binary64_751
30×sqrt-prod_binary64_766
12×associate-/r*_binary64_697
10×add-exp-log_binary64_786
8×pow1_binary64_809 sqrt-div_binary64_767 add-cbrt-cube_binary64_784
6×associate-/l*_binary64_698
4×flip3-+_binary64_754 add-log-exp_binary64_787 associate-/r/_binary64_699 flip-+_binary64_725
3×pow1/2_binary64_828 sqrt-pow1_binary64_768 pow-flip_binary64_822 div-exp_binary64_799
2×rem-sqrt-square_binary64_764 div-inv_binary64_748 cbrt-undiv_binary64_782 frac-2neg_binary64_762 clear-num_binary64_750
1×1-exp_binary64_792 rec-exp_binary64_798 inv-pow_binary64_833
Counts
4 → 118
Calls

4 calls:

8.0ms
(/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))
7.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
5.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

series191.0ms (9.4%)

Counts
4 → 12
Calls

4 calls:

67.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
55.0ms
(/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))
35.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
34.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

simplify94.0ms (4.6%)

Algorithm
1×egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
057602284

prune150.0ms (7.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1300130
Fresh033
Picked011
Done000
Total1304134

Merged error: 0b

Counts
134 → 4
Compiler

Compiled 3156 to 1978 computations (37.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
14.2b
(/.f64 (+.f64 (*.f64 x x) 1) x)

rewrite25.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
84×times-frac_binary64_757
52×add-cube-cbrt_binary64_783 *-un-lft-identity_binary64_751 add-sqr-sqrt_binary64_772
16×associate-/r*_binary64_697
15×add-exp-log_binary64_786
9×add-cbrt-cube_binary64_784
8×div-exp_binary64_799
6×div-inv_binary64_748 associate-/l*_binary64_698
4×cbrt-undiv_binary64_782
3×pow1_binary64_809
2×1-exp_binary64_792 associate-/l/_binary64_700 rec-exp_binary64_798 add-log-exp_binary64_787 frac-2neg_binary64_762 clear-num_binary64_750
1×flip3-+_binary64_754 inv-pow_binary64_833 associate-/r/_binary64_699 flip-+_binary64_725 pow-flip_binary64_822
Counts
2 → 105
Calls

2 calls:

9.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
7.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)

series158.0ms (7.7%)

Counts
2 → 6
Calls

2 calls:

100.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)
58.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))

simplify98.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
058822232

prune94.0ms (4.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh112
Picked101
Done011
Total1123115

Merged error: 0b

Counts
115 → 3
Compiler

Compiled 1883 to 1079 computations (42.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (/.f64 1 x))
0.1b
(/.f64 1 (+.f64 x (/.f64 1 x)))

rewrite20.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_751
18×times-frac_binary64_757
16×add-exp-log_binary64_786
13×add-cube-cbrt_binary64_783 add-sqr-sqrt_binary64_772
10×distribute-lft-out_binary64_704
6×rec-exp_binary64_798 associate-/r*_binary64_697 div-inv_binary64_748
5×cosh-undef_binary64_942
4×add-log-exp_binary64_787 add-cbrt-cube_binary64_784
3×pow1_binary64_809 associate-/l*_binary64_698
2×flip3-+_binary64_754 associate-/r/_binary64_699 flip-+_binary64_725 div-exp_binary64_799
1×1-exp_binary64_792 +-commutative_binary64_683 inv-pow_binary64_833 cbrt-undiv_binary64_782 sum-log_binary64_839 frac-2neg_binary64_762 clear-num_binary64_750 pow-flip_binary64_822
Counts
2 → 59
Calls

2 calls:

9.0ms
(/.f64 1 (+.f64 x (/.f64 1 x)))
7.0ms
(+.f64 x (/.f64 1 x))

series71.0ms (3.5%)

Counts
2 → 6
Calls

2 calls:

35.0ms
(/.f64 1 (+.f64 x (/.f64 1 x)))
35.0ms
(+.f64 x (/.f64 1 x))

simplify80.0ms (3.9%)

Algorithm
1×egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04883836
14883836

prune46.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh011
Picked011
Done011
Total65368

Merged error: 0b

Counts
68 → 3
Compiler

Compiled 764 to 575 computations (24.7% saved)

regimes70.0ms (3.4%)

Compiler

Compiled 624 to 420 computations (32.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
1810

end0.0ms (0%)

sample562.0ms (27.5%)

Algorithm
1×intervals
Results
180.0ms8000×body128valid
Compiler

Compiled 289 to 198 computations (31.5% saved)

Profiling

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