Details

analyze1.7s (21.9%)

Algorithm

1×

Search

True	Other	False	Iter
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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample81.0ms (1%)

Algorithm

1×

intervals

Results

23.0ms	199×	body	128	valid
22.0ms	28×	body	1024	valid
8.0ms	19×	body	512	valid
3.0ms	10×	body	256	valid
2.0ms	5×	body	512	invalid
2.0ms	21×	body	128	nan
1.0ms	13×	body	128	invalid
1.0ms	2×	body	1024	invalid
1.0ms	3×	body	256	invalid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify282.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4947	16
1	4947	16

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 6.7b

Counts

2 → 1

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
0.0b	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
0.0b	(/.f64 y (+.f64 y z))
6.7b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite134.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_10314`
121×	`*-un-lft-identity_binary64_10308`
90×	`unpow-prod-down_binary64_10387`
81×	`add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330`
25×	`associate-/l*_binary64_10253`
20×	`distribute-lft-out_binary64_10259`
17×	`add-exp-log_binary64_10346`
12×	`associate-/r/_binary64_10254`
8×	`add-cbrt-cube_binary64_10344`
7×	`associate-/r*_binary64_10252` `div-exp_binary64_10359` `flip-+_binary64_10282` `flip3-+_binary64_10311` `div-inv_binary64_10305`
6×	`add-log-exp_binary64_10347`
5×	`sqr-pow_binary64_10280` `pow1_binary64_10369`
4×	`pow-exp_binary64_10376`
3×	`pow-unpow_binary64_10385`
2×	`clear-num_binary64_10307` `pow-to-exp_binary64_10377` `frac-2neg_binary64_10319` `cbrt-undiv_binary64_10342`
1×	`pow-pow_binary64_10380` `sum-log_binary64_10399` `+-commutative_binary64_10238`

Counts

4 → 184

Calls

4 calls:

47.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
23.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
14.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
10.0ms	(/.f64 y (+.f64 y z))

series770.0ms (10%)

Counts

4 → 12

Calls

4 calls:

326.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
236.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
160.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
47.0ms	(/.f64 y (+.f64 y z))

simplify154.0ms (2%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4989	4340
1	4989	4340

prune274.0ms (3.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	192	4	196
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	193	4	197

Merged error: 0.5b

Counts

197 → 4

Compiler

Compiled 4044 to 891 computations (78% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (exp.f64 (neg.f64 z)) y)
0.0b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_10308`
10×	`add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330`
9×	`times-frac_binary64_10314`
4×	`add-log-exp_binary64_10347` `add-cbrt-cube_binary64_10344`
3×	`associate-/r_binary64_10252` `associate-/l_binary64_10253` `add-exp-log_binary64_10346`
2×	`associate-/l/_binary64_10255` `pow1_binary64_10369`
1×	`sum-log_binary64_10399` `clear-num_binary64_10307` `div-exp_binary64_10359` `flip-+_binary64_10282` `+-commutative_binary64_10238` `distribute-lft-out_binary64_10259` `exp-diff_binary64_10356` `exp-neg_binary64_10355` `flip3-+_binary64_10311` `div-inv_binary64_10305` `frac-2neg_binary64_10319` `cbrt-undiv_binary64_10342` `neg-sub0_binary64_10303`

Counts

2 → 41

Calls

2 calls:

12.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
10.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

series85.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

44.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
41.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

simplify137.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	5446	664

prune61.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Merged error: 0.5b

Counts

51 → 5

Compiler

Compiled 656 to 207 computations (68.4% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))
0.1b	(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))
0.2b	(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)
0.2b	(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)

rewrite142.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

194×	`sqrt-prod_binary64_10324`
172×	`*-un-lft-identity_binary64_10308`
168×	`times-frac_binary64_10314`
120×	`add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330`
96×	`unpow-prod-down_binary64_10387`
26×	`distribute-lft-out_binary64_10259`
14×	`associate-/r*_binary64_10252` `add-exp-log_binary64_10346`
12×	`associate-/l*_binary64_10253`
8×	`associate-/r/_binary64_10254` `add-cbrt-cube_binary64_10344` `sqrt-div_binary64_10325`
6×	`pow-unpow_binary64_10385` `pow1_binary64_10369`
4×	`add-log-exp_binary64_10347` `div-exp_binary64_10359` `flip-+_binary64_10282` `sqrt-undiv_binary64_10329` `flip3-+_binary64_10311` `pow-exp_binary64_10376` `div-inv_binary64_10305`
2×	`pow-pow_binary64_10380` `sqr-pow_binary64_10280` `sqrt-pow2_binary64_10327` `clear-num_binary64_10307` `pow-to-exp_binary64_10377` `frac-2neg_binary64_10319` `cbrt-undiv_binary64_10342`

Counts

4 → 268

Calls

4 calls:

28.0ms	(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)
24.0ms	(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)
15.0ms	(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))
15.0ms	(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))

series880.0ms (11.4%)

Counts

4 → 12

Calls

4 calls:

346.0ms	(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)
335.0ms	(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)
101.0ms	(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))
97.0ms	(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))

simplify248.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	5006	6720

prune458.0ms (5.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	280	5	285

Merged error: 0.5b

Counts

285 → 5

Compiler

Compiled 8950 to 1252 computations (86% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 y z))
0.6b	(cbrt.f64 (+.f64 y z))
0.6b	(cbrt.f64 (+.f64 y z))
1.5b	(pow.f64 (/.f64 y (cbrt.f64 (+.f64 y z))) y)

rewrite53.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_10308`
27×	`unpow-prod-down_binary64_10387`
24×	`cbrt-prod_binary64_10339`
22×	`add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330`
21×	`times-frac_binary64_10314`
8×	`cbrt-div_binary64_10340`
7×	`add-exp-log_binary64_10346`
6×	`distribute-lft-out_binary64_10259`
5×	`pow1_binary64_10369`
4×	`add-log-exp_binary64_10347` `flip-+_binary64_10282` `add-cbrt-cube_binary64_10344` `flip3-+_binary64_10311`
3×	`pow1/3_binary64_10390` `pow-unpow_binary64_10385`
2×	`associate-/r/_binary64_10254` `pow-exp_binary64_10376`
1×	`pow-pow_binary64_10380` `sqr-pow_binary64_10280` `div-exp_binary64_10359` `pow-to-exp_binary64_10377` `div-inv_binary64_10305`

Counts

4 → 84

Calls

4 calls:

17.0ms	(pow.f64 (/.f64 y (cbrt.f64 (+.f64 y z))) y)
6.0ms	(cbrt.f64 (+.f64 y z))
6.0ms	(cbrt.f64 (+.f64 y z))
6.0ms	(cbrt.f64 (+.f64 y z))

series1.2s (15.6%)

Counts

4 → 12

Calls

4 calls:

563.0ms	(pow.f64 (/.f64 y (cbrt.f64 (+.f64 y z))) y)
216.0ms	(cbrt.f64 (+.f64 y z))
213.0ms	(cbrt.f64 (+.f64 y z))
208.0ms	(cbrt.f64 (+.f64 y z))

simplify126.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4938	1970
1	4938	1970

prune212.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	98	3	101

Merged error: 0.0b

Counts

101 → 3

Compiler

Compiled 3353 to 1072 computations (68% saved)

regimes523.0ms (6.8%)

Compiler: Compiled 2540 to 1527 computations (39.9% saved)

bsearch99.0ms (1.3%)

Steps

Iters	Range		Point
8	-267.28521521715794	-0.6808813672001781	-9.146561104449598

Compiler

Compiled 1 to 3 computations (-200% saved)

Details

analyze1.7s (21.9%)

sample81.0ms (1%)

simplify282.0ms (3.7%)

prune6.0ms (0.1%)

localize16.0ms (0.2%)

rewrite134.0ms (1.7%)

series770.0ms (10%)

simplify154.0ms (2%)

prune274.0ms (3.6%)

localize11.0ms (0.1%)

rewrite27.0ms (0.3%)

series85.0ms (1.1%)

simplify137.0ms (1.8%)

prune61.0ms (0.8%)

localize21.0ms (0.3%)

rewrite142.0ms (1.8%)

series880.0ms (11.4%)

simplify248.0ms (3.2%)

prune458.0ms (5.9%)

localize29.0ms (0.4%)

rewrite53.0ms (0.7%)

series1.2s (15.6%)

simplify126.0ms (1.6%)

prune212.0ms (2.8%)

regimes523.0ms (6.8%)

bsearch99.0ms (1.3%)

end0.0ms (0%)

Profiling