Details

analyze1.1s (13%)

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)

sample53.0ms (0.6%)

Algorithm

1×

intervals

Results

19.0ms	212×	body	128	valid
9.0ms	22×	body	1024	valid
4.0ms	16×	body	512	valid
3.0ms	8×	body	1024	invalid
2.0ms	8×	body	512	invalid
2.0ms	38×	body	128	nan
1.0ms	6×	body	256	valid
1.0ms	10×	body	128	invalid
1.0ms	4×	body	256	invalid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify231.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4918	16
1	4918	16

prune4.0ms (0%)

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: 7.1b

Counts

2 → 1

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize9.0ms (0.1%)

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))
7.1b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite75.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_11204`
121×	`*-un-lft-identity_binary64_11198`
90×	`unpow-prod-down_binary64_11274`
81×	`add-cube-cbrt_binary64_11230` `add-sqr-sqrt_binary64_11219`
25×	`associate-/l*_binary64_11145`
20×	`distribute-lft-out_binary64_11151`
17×	`add-exp-log_binary64_11233`
12×	`associate-/r/_binary64_11146`
8×	`add-cbrt-cube_binary64_11231`
7×	`associate-/r*_binary64_11144` `div-inv_binary64_11195` `flip3-+_binary64_11201` `div-exp_binary64_11246` `flip-+_binary64_11172`
6×	`add-log-exp_binary64_11234`
5×	`sqr-pow_binary64_11170` `pow1_binary64_11256`
4×	`pow-exp_binary64_11263`
3×	`pow-unpow_binary64_11272`
2×	`pow-to-exp_binary64_11264` `frac-2neg_binary64_11209` `clear-num_binary64_11197` `cbrt-undiv_binary64_11229`
1×	`+-commutative_binary64_11130` `sum-log_binary64_11286` `pow-pow_binary64_11267`

Counts

4 → 184

Calls

4 calls:

25.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
13.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
11.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
6.0ms	(/.f64 y (+.f64 y z))

series860.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

385.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
254.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
171.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
49.0ms	(/.f64 y (+.f64 y z))

simplify99.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4953	4340
1	4953	4340

prune173.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	191	5	196
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	192	5	197

Merged error: 0.3b

Counts

197 → 5

Compiler

Compiled 4062 to 895 computations (78% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
7.1b	(pow.f64 (/.f64 y (+.f64 y z)) y)
7.1b	(pow.f64 (/.f64 y (+.f64 y z)) y)
7.1b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite69.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_11204`
117×	`*-un-lft-identity_binary64_11198`
108×	`unpow-prod-down_binary64_11274`
81×	`add-cube-cbrt_binary64_11230` `add-sqr-sqrt_binary64_11219`
70×	`cbrt-prod_binary64_11226`
18×	`distribute-lft-out_binary64_11151`
13×	`add-exp-log_binary64_11233`
12×	`associate-/r/_binary64_11146`
9×	`pow-unpow_binary64_11272`
7×	`div-inv_binary64_11195` `pow1_binary64_11256`
6×	`sqr-pow_binary64_11170` `flip3-+_binary64_11201` `flip-+_binary64_11172` `pow-exp_binary64_11263`
4×	`add-log-exp_binary64_11234` `add-cbrt-cube_binary64_11231`
3×	`pow-to-exp_binary64_11264` `div-exp_binary64_11246` `pow-pow_binary64_11267`
1×	`pow1/3_binary64_11277` `cbrt-div_binary64_11227`

Counts

4 → 178

Calls

4 calls:

13.0ms	(cbrt.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
11.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
8.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
8.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

series2.2s (25.2%)

Counts

4 → 12

Calls

4 calls:

1.1s	(cbrt.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
368.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
366.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
363.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4922	4960
1	4922	4960

prune217.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	190	5	195

Merged error: 0.3b

Counts

195 → 5

Compiler

Compiled 8451 to 1164 computations (86.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (pow.f64 (*.f64 y (/.f64 1 (+.f64 y z))) y) y))
0.0b	(/.f64 1 (+.f64 y z))
0.1b	(*.f64 y (/.f64 1 (+.f64 y z)))
9.5b	(pow.f64 (*.f64 y (/.f64 1 (+.f64 y z))) y)

rewrite46.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64_11198`
30×	`add-sqr-sqrt_binary64_11219`
27×	`add-exp-log_binary64_11233`
26×	`times-frac_binary64_11204`
23×	`add-cube-cbrt_binary64_11230`
18×	`associate-r_binary64_11140`
11×	`add-cbrt-cube_binary64_11231`
10×	`pow1_binary64_11256`
8×	`prod-exp_binary64_11244` `distribute-lft-out_binary64_11151`
6×	`add-log-exp_binary64_11234` `div-exp_binary64_11246`
5×	`pow-exp_binary64_11263`
4×	`associate-/r*_binary64_11144` `associate-/r/_binary64_11146`
3×	`pow-unpow_binary64_11272` `associate-/l_binary64_11145` `flip3-+_binary64_11201` `associate-l*_binary64_11141` `1-exp_binary64_11239` `unswap-sqr_binary64_11166` `flip-+_binary64_11172` `rec-exp_binary64_11245`
2×	`div-inv_binary64_11195` `pow-prod-down_binary64_11266` `pow-pow_binary64_11267` `cbrt-unprod_binary64_11228` `cbrt-undiv_binary64_11229`
1×	`+-commutative_binary64_11130` `inv-pow_binary64_11280` `sum-log_binary64_11286` `sqr-pow_binary64_11170` `pow-to-exp_binary64_11264` `frac-2neg_binary64_11209` `unpow-prod-down_binary64_11274` `clear-num_binary64_11197` `un-div-inv_binary64_11196` `associate-r/_binary64_11142` `pow-flip_binary64_11269` `-commutative_binary64_11131`

Counts

4 → 110

Calls

4 calls:

12.0ms	(*.f64 y (/.f64 1 (+.f64 y z)))
9.0ms	(pow.f64 (*.f64 y (/.f64 1 (+.f64 y z))) y)
9.0ms	(+.f64 x (/.f64 (pow.f64 (*.f64 y (/.f64 1 (+.f64 y z))) y) y))
6.0ms	(/.f64 1 (+.f64 y z))

series637.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

366.0ms	(pow.f64 (*.f64 y (/.f64 1 (+.f64 y z))) y)
180.0ms	(+.f64 x (/.f64 (pow.f64 (*.f64 y (/.f64 1 (+.f64 y z))) y) y))
51.0ms	(*.f64 y (/.f64 1 (+.f64 y z)))
40.0ms	(/.f64 1 (+.f64 y z))

simplify92.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4904	1472
1	4904	1472

prune97.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0.3b

Counts

127 → 5

Compiler

Compiled 2111 to 798 computations (62.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_11198`
10×	`add-cube-cbrt_binary64_11230` `add-sqr-sqrt_binary64_11219`
9×	`times-frac_binary64_11204`
4×	`add-log-exp_binary64_11234` `add-cbrt-cube_binary64_11231`
3×	`add-exp-log_binary64_11233` `associate-/l_binary64_11145` `associate-/r_binary64_11144`
2×	`associate-/l/_binary64_11147` `pow1_binary64_11256`
1×	`+-commutative_binary64_11130` `neg-sub0_binary64_11193` `sum-log_binary64_11286` `div-inv_binary64_11195` `frac-2neg_binary64_11209` `distribute-lft-out_binary64_11151` `flip3-+_binary64_11201` `clear-num_binary64_11197` `div-exp_binary64_11246` `exp-diff_binary64_11243` `flip-+_binary64_11172` `exp-neg_binary64_11242` `cbrt-undiv_binary64_11229`

Counts

2 → 41

Calls

2 calls:

7.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
6.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

series88.0ms (1%)

Counts

2 → 6

Calls

2 calls:

44.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
43.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4864	664
1	4864	664

prune32.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	46	6	52

Merged error: 0.2b

Counts

52 → 6

Compiler

Compiled 577 to 162 computations (71.9% saved)

regimes288.0ms (3.3%)

Compiler: Compiled 2340 to 1472 computations (37.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	144
1	54	144

end0.0ms (0%)

sample2.0s (23.6%)

Algorithm

1×

intervals

Results

420.0ms	6180×	body	128	valid
388.0ms	945×	body	1024	valid
137.0ms	562×	body	512	valid
69.0ms	178×	body	1024	invalid
59.0ms	252×	body	512	invalid
51.0ms	1018×	body	128	nan
47.0ms	307×	body	256	valid
28.0ms	382×	body	128	invalid
22.0ms	155×	body	256	invalid
4.0ms	6×	body	2048	valid

Compiler

Compiled 585 to 349 computations (40.3% saved)

Details

analyze1.1s (13%)

sample53.0ms (0.6%)

simplify231.0ms (2.7%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite75.0ms (0.9%)

series860.0ms (9.9%)

simplify99.0ms (1.1%)

prune173.0ms (2%)

localize12.0ms (0.1%)

rewrite69.0ms (0.8%)

series2.2s (25.2%)

simplify108.0ms (1.2%)

prune217.0ms (2.5%)

localize12.0ms (0.1%)

rewrite46.0ms (0.5%)

series637.0ms (7.4%)

simplify92.0ms (1.1%)

prune97.0ms (1.1%)

localize6.0ms (0.1%)

rewrite16.0ms (0.2%)

series88.0ms (1%)

simplify86.0ms (1%)

prune32.0ms (0.4%)

regimes288.0ms (3.3%)

bsearch2.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.0s (23.6%)

Profiling