Details

analyze397.0ms (10.2%)

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
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	38×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify464.0ms (11.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (372.0ms)

Iter	Nodes	Cost
0	5152	13

prune3.0ms (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: 10.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_16105`
9×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
8×	`add-sqr-sqrt_binary64_16127`
6×	`add-cube-cbrt_binary64_16140`
5×	`associate-r_binary64_16045`
4×	`associate-*r/_binary64_16047` `pow1_binary64_16166`
3×	`times-frac_binary64_16111` `associate-/r_binary64_16049` `associate-l*_binary64_16046`
2×	`flip-+_binary64_16079` `cbrt-unprod_binary64_16138` `div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `add-log-exp_binary64_16144` `associate-/l/_binary64_16052` `flip3-+_binary64_16108` `prod-exp_binary64_16154` `distribute-lft-out_binary64_16056`
1×	`distribute-lft-in_binary64_16054` `div-inv_binary64_16102` `distribute-rgt-in_binary64_16055` `unswap-sqr_binary64_16073` `pow-prod-down_binary64_16176` `distribute-lft-out--_binary64_16057` `-commutative_binary64_16036` `frac-2neg_binary64_16116` `associate-/l_binary64_16050` `clear-num_binary64_16104`

Counts

2 → 47

Calls

2 calls:

11.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
10.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

series255.0ms (6.5%)

Counts

2 → 29

Calls

2 calls:

142.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
113.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

Compiler

Compiled 440 to 363 computations (17.5% saved)

simplify55.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5801	924

prune62.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

Compiler

Compiled 933 to 430 computations (53.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
0.0b	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
3.6b	(*.f64 (/.f64 x z) y)

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_16127`
14×	`*-un-lft-identity_binary64_16105`
13×	`associate-l_binary64_16046`
12×	`add-cube-cbrt_binary64_16140`
10×	`add-log-exp_binary64_16144` `times-frac_binary64_16111`
8×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
5×	`pow1_binary64_16166`
3×	`cancel-sign-sub-inv_binary64_16071` `associate-r_binary64_16045`
2×	`cbrt-unprod_binary64_16138` `sum-log_binary64_16196` `diff-log_binary64_16197` `unswap-sqr_binary64_16073` `associate-*l/_binary64_16048` `prod-exp_binary64_16154`
1×	`flip-+_binary64_16079` `associate--l+_binary64_16042` `frac-add_binary64_16113` `difference-of-squares_binary64_16074` `div-exp_binary64_16156` `flip--_binary64_16080` `flip3--_binary64_16109` `cbrt-undiv_binary64_16139` `div-inv_binary64_16102` `sub-neg_binary64_16098` `+-commutative_binary64_16035` `flip3-+_binary64_16108` `pow-prod-down_binary64_16176` `distribute-lft-out--_binary64_16057` `*-commutative_binary64_16036`

Counts

3 → 62

Calls

3 calls:

9.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
7.0ms	(*.f64 (/.f64 x z) y)
6.0ms	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))

series446.0ms (11.4%)

Counts

3 → 35

Calls

3 calls:

187.0ms	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
162.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
97.0ms	(*.f64 (/.f64 x z) y)

Compiler

Compiled 643 to 509 computations (20.8% saved)

simplify85.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4952	1168
1	4952	1168

prune65.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Merged error: 0b

Counts

102 → 6

Compiler

Compiled 1375 to 475 computations (65.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (+.f64 (-.f64 y z) 1))
2.5b	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

rewrite39.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64_16105`
138×	`times-frac_binary64_16111`
70×	`add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127`
32×	`distribute-lft-out_binary64_16056`
26×	`associate-/r*_binary64_16049`
16×	`distribute-lft-out--_binary64_16057`
11×	`associate-/r/_binary64_16051`
9×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
6×	`div-inv_binary64_16102` `associate-/l*_binary64_16050`
5×	`flip-+_binary64_16079` `flip3-+_binary64_16108`
4×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139`
2×	`add-log-exp_binary64_16144` `pow1_binary64_16166` `frac-2neg_binary64_16116` `clear-num_binary64_16104`

Counts

2 → 139

Calls

2 calls:

12.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))
8.0ms	(/.f64 z (+.f64 (-.f64 y z) 1))

series250.0ms (6.4%)

Counts

2 → 30

Calls

2 calls:

158.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))
92.0ms	(/.f64 z (+.f64 (-.f64 y z) 1))

Compiler

Compiled 631 to 525 computations (16.8% saved)

simplify80.0ms (2%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5024	3585

prune130.0ms (3.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	169	6	175

Merged error: 0b

Counts

175 → 6

Compiler

Compiled 2921 to 1320 computations (54.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 y z) 1) z)
2.7b	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`*-un-lft-identity_binary64_16105`
31×	`times-frac_binary64_16111`
27×	`add-sqr-sqrt_binary64_16127`
22×	`add-cube-cbrt_binary64_16140`
19×	`associate-r_binary64_16045`
14×	`distribute-lft-out_binary64_16056`
9×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
7×	`distribute-lft-out--_binary64_16057`
5×	`associate-/l*_binary64_16050`
4×	`pow1_binary64_16166`
3×	`associate-/r_binary64_16049` `associate-l*_binary64_16046`
2×	`cbrt-unprod_binary64_16138` `div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `add-log-exp_binary64_16144` `div-inv_binary64_16102` `associate-/l/_binary64_16052` `unswap-sqr_binary64_16073` `prod-exp_binary64_16154`
1×	`flip-+_binary64_16079` `associate-r/_binary64_16047` `flip3-+_binary64_16108` `pow-prod-down_binary64_16176` `associate-+l-_binary64_16040` `-commutative_binary64_16036` `frac-2neg_binary64_16116` `div-sub_binary64_16110` `clear-num_binary64_16104`

Counts

2 → 76

Calls

2 calls:

13.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))
9.0ms	(/.f64 (+.f64 (-.f64 y z) 1) z)

series235.0ms (6%)

Counts

2 → 25

Calls

2 calls:

156.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))
79.0ms	(/.f64 (+.f64 (-.f64 y z) 1) z)

Compiler

Compiled 370 to 328 computations (11.4% saved)

simplify65.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5026	1448

prune70.0ms (1.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	101	6	107

Merged error: 0b

Counts

107 → 6

Compiler

Compiled 1398 to 670 computations (52.1% saved)

regimes184.0ms (4.7%)

Compiler: Compiled 1004 to 825 computations (17.8% saved)

bsearch35.0ms (0.9%)

Steps

Iters	Range		Point
8	6.423178418832339e-31	2.0133758476735714e-27	1.5761969805659057e-27
10	-9.055722237398327e-52	-1.516701418122546e-68	-5.425669128900141e-55

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	40
1	35	40

end0.0ms (0%)

sample857.0ms (21.9%)

Algorithm

1×

intervals

Results

267.0ms	8000×	body	128	valid
33.0ms	1035×	body	128	invalid

Compiler

Compiled 296 to 235 computations (20.6% saved)

Details

analyze397.0ms (10.2%)

sample20.0ms (0.5%)

simplify464.0ms (11.9%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite24.0ms (0.6%)

series255.0ms (6.5%)

simplify55.0ms (1.4%)

prune62.0ms (1.6%)

localize6.0ms (0.2%)

rewrite27.0ms (0.7%)

series446.0ms (11.4%)

simplify85.0ms (2.2%)

prune65.0ms (1.7%)

localize6.0ms (0.2%)

rewrite39.0ms (1%)

series250.0ms (6.4%)

simplify80.0ms (2%)

prune130.0ms (3.3%)

localize6.0ms (0.2%)

rewrite31.0ms (0.8%)

series235.0ms (6%)

simplify65.0ms (1.7%)

prune70.0ms (1.8%)

regimes184.0ms (4.7%)

bsearch35.0ms (0.9%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample857.0ms (21.9%)

Profiling