Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify275.0ms (8.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	5574	20

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite74.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`*-un-lft-identity_binary64_760`
50×	`times-frac_binary64_766`
43×	`add-sqr-sqrt_binary64_782`
31×	`sqrt-prod_binary64_776` `add-cube-cbrt_binary64_795`
16×	`distribute-lft-out_binary64_711`
15×	`log-prod_binary64_846`
13×	`div-inv_binary64_757`
10×	`difference-of-squares_binary64_729`
8×	`associate-/l*_binary64_705`
7×	`add-exp-log_binary64_798`
6×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `distribute-rgt-out_binary64_713` `pow1_binary64_821`
4×	`sqrt-div_binary64_777`
3×	`log-div_binary64_847` `associate-/r*_binary64_704`
2×	`flip3-+_binary64_763` `associate-/l/_binary64_707` `distribute-rgt1-in_binary64_716` `frac-add_binary64_768` `flip-+_binary64_734` `flip--_binary64_735` `flip3--_binary64_764`
1×	`rem-sqrt-square_binary64_773` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `sqrt-pow1_binary64_778` `log-pow_binary64_849` `+-commutative_binary64_690` `sum-log_binary64_851` `rem-log-exp_binary64_801` `pow1/2_binary64_840` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

4 → 117

Calls

4 calls:

25.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
25.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
7.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

series298.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
85.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
60.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
50.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify80.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5082	2710

prune140.0ms (4.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	2	130

Merged error: 0b

Counts

130 → 2

Compiler

Compiled 2605 to 1675 computations (35.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
0.0b	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.0b	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.0b	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))

rewrite58.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`sqrt-div_binary64_777` `cbrt-div_binary64_792`
34×	`cbrt-prod_binary64_791`
30×	`flip--_binary64_735` `flip3--_binary64_764`
28×	`frac-times_binary64_770`
23×	`pow1_binary64_821`
21×	`sqrt-prod_binary64_776`
20×	`add-sqr-sqrt_binary64_782`
17×	`*-un-lft-identity_binary64_760`
14×	`associate-*l/_binary64_703`
13×	`add-cube-cbrt_binary64_795`
12×	`pow1/3_binary64_842`
11×	`associate-r_binary64_700`
9×	`add-exp-log_binary64_798` `pow-prod-up_binary64_830`
8×	`difference-of-squares_binary64_729` `associate-*r/_binary64_702`
6×	`pow-plus_binary64_823`
5×	`add-cbrt-cube_binary64_796` `pow-prod-down_binary64_831`
4×	`add-log-exp_binary64_799`
3×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `pow-sqr_binary64_733` `cbrt-unprod_binary64_793`
2×	`pow2_binary64_841`
1×	`rem-3cbrt-lft_binary64_785` `associate-l_binary64_701` `pow3_binary64_843` `*-commutative_binary64_691`

Counts

4 → 122

Calls

4 calls:

23.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
5.0ms	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
4.0ms	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
4.0ms	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))

series358.0ms (10.5%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
107.0ms	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
93.0ms	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
49.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

simplify99.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5189	3219

prune226.0ms (6.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	134	2	136

Merged error: 0b

Counts

136 → 2

Compiler

Compiled 4622 to 3107 computations (32.8% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`times-frac_binary64_766`
46×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
39×	`add-cube-cbrt_binary64_795`
36×	`cbrt-prod_binary64_791`
35×	`sqrt-prod_binary64_776`
14×	`difference-of-squares_binary64_729`
8×	`associate-/l*_binary64_705`
6×	`add-exp-log_binary64_798` `associate-/r*_binary64_704`
5×	`add-cbrt-cube_binary64_796`
4×	`add-log-exp_binary64_799` `pow1_binary64_821`
3×	`pow1/3_binary64_842`
2×	`associate-/l/_binary64_707` `sqrt-div_binary64_777`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `div-exp_binary64_811` `clear-num_binary64_759` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 109

Calls

4 calls:

8.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series592.0ms (17.4%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x))
151.0ms	(cbrt.f64 x)
150.0ms	(cbrt.f64 x)
139.0ms	(cbrt.f64 x)

simplify73.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5078	2333

prune156.0ms (4.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	121	2	123

Merged error: 0b

Counts

123 → 2

Compiler

Compiled 3455 to 1925 computations (44.3% saved)

regimes86.0ms (2.5%)

Compiler: Compiled 765 to 567 computations (25.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	25
1	32	25

end0.0ms (0%)

sample787.0ms (23.1%)

Algorithm

1×

intervals

Results

447.0ms	8000×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 231 to 174 computations (24.7% saved)

Details

analyze5.0ms (0.2%)

sample20.0ms (0.6%)

simplify275.0ms (8.1%)

prune2.0ms (0.1%)

localize13.0ms (0.4%)

rewrite74.0ms (2.2%)

series298.0ms (8.7%)

simplify80.0ms (2.3%)

prune140.0ms (4.1%)

localize14.0ms (0.4%)

rewrite58.0ms (1.7%)

series358.0ms (10.5%)

simplify99.0ms (2.9%)

prune226.0ms (6.7%)

localize16.0ms (0.5%)

rewrite29.0ms (0.8%)

series592.0ms (17.4%)

simplify73.0ms (2.1%)

prune156.0ms (4.6%)

regimes86.0ms (2.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample787.0ms (23.1%)

Profiling