Details

analyze661.0ms (15.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4890	52
1	4890	52
0	3	3
1	3	3

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
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	30×	body	128	invalid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify353.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (347.0ms)

Iter	Nodes	Cost
0	5659	13

prune2.0ms (0%)

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

Error

11.4b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.0b	(*.f64 y (-.f64 z x))
10.7b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite90.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

11.3b

Rules

21×	`add-sqr-sqrt_binary64_17150`
19×	`*-un-lft-identity_binary64_17128`
17×	`add-cube-cbrt_binary64_17163`
12×	`cancel-sign-sub-inv_binary64_17094`
9×	`times-frac_binary64_17134`
8×	`distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077` `associate-+r+_binary64_17060`
7×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
5×	`pow1_binary64_17189` `add-log-exp_binary64_17167` `associate-r_binary64_17068`
4×	`sub-neg_binary64_17121`
3×	`associate-/l_binary64_17073` `associate-/r_binary64_17072` `associate-l_binary64_17069`
2×	`flip3-+_binary64_17131` `associate-/l/_binary64_17075` `flip-+_binary64_17102` `associate-*r/_binary64_17070`
1×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `frac-2neg_binary64_17139` `clear-num_binary64_17127` `div-inv_binary64_17125` `pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `unswap-sqr_binary64_17096` `flip3--_binary64_17132` `flip--_binary64_17103` `difference-of-squares_binary64_17097` `distribute-lft-out--_binary64_17080` `*-commutative_binary64_17059` `sum-log_binary64_17219` `+-commutative_binary64_17058`

Counts

3 → 78

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 1355 to 327 computations (75.9% saved)

series449.0ms (10.5%)

Error

1.1b

Counts

3 → 51

Calls

3 calls:

192.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
131.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
102.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1173 to 639 computations (45.5% saved)

simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5018	1554

prune80.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	127	3	130

Error

Counts

130 → 3

Compiler

Compiled 1648 to 340 computations (79.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
4.5b	(*.f64 (/.f64 x z) (-.f64 1 y))

rewrite70.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_17150`
17×	`*-un-lft-identity_binary64_17128`
14×	`add-cube-cbrt_binary64_17163`
13×	`associate-l_binary64_17069`
12×	`cancel-sign-sub-inv_binary64_17094`
10×	`times-frac_binary64_17134`
8×	`distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077` `associate-+r+_binary64_17060`
7×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
6×	`associate-r_binary64_17068`
4×	`pow1_binary64_17189` `add-log-exp_binary64_17167` `sub-neg_binary64_17121`
2×	`prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `flip3--_binary64_17132` `frac-times_binary64_17138` `flip--_binary64_17103` `unswap-sqr_binary64_17096` `associate-*r/_binary64_17070` `difference-of-squares_binary64_17097`
1×	`pow-prod-down_binary64_17199` `div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `associate-l/_binary64_17071` `div-inv_binary64_17125` `distribute-lft-out--_binary64_17080` `-commutative_binary64_17059` `sum-log_binary64_17219` `flip3-+_binary64_17131` `flip-+_binary64_17102` `+-commutative_binary64_17058`

Counts

2 → 66

Calls

2 calls:

11.0ms	(*.f64 (/.f64 x z) (-.f64 1 y))
4.0ms	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))

Compiler

Compiled 1152 to 555 computations (51.8% saved)

series323.0ms (7.6%)

Error

Counts

2 → 30

Calls

2 calls:

173.0ms	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
133.0ms	(*.f64 (/.f64 x z) (-.f64 1 y))

Compiler

Compiled 708 to 426 computations (39.8% saved)

simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4995	1186
1	4995	1186

prune69.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	3	99

Error

Counts

99 → 3

Compiler

Compiled 1253 to 583 computations (53.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
6.4b	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
6.4b	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))

rewrite57.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_17150`
8×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
6×	`pow1_binary64_17189` `sqrt-prod_binary64_17144` `cbrt-prod_binary64_17159`
4×	`add-log-exp_binary64_17167` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `sqrt-div_binary64_17145`
2×	`pow1/2_binary64_17208` `sqrt-pow1_binary64_17146` `flip3-+_binary64_17131` `flip-+_binary64_17102` `rem-sqrt-square_binary64_17141` `pow1/3_binary64_17210`

Counts

4 → 52

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1732 to 225 computations (87% saved)

series404.0ms (9.5%)

Error

Counts

4 → 30

Calls

4 calls:

121.0ms	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
111.0ms	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
75.0ms	(cbrt.f64 z)
72.0ms	(cbrt.f64 z)

Compiler

Compiled 2900 to 1499 computations (48.3% saved)

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4964	990
1	4964	990

prune71.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	82	3	85

Error

Counts

85 → 3

Compiler

Compiled 2432 to 352 computations (85.5% saved)

regimes285.0ms (6.7%)

Accuracy

Total 0.0b remaining (94.7%)

Threshold costs 0.0b (94.7%)

Compiler

Compiled 2658 to 1612 computations (39.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms (0%)

sample1.1s (26.3%)

Algorithm

1×

intervals

Results

250.0ms	8000×	body	128	valid
30.0ms	1053×	body	128	invalid

Compiler

Compiled 658 to 407 computations (38.1% saved)

Details

analyze661.0ms (15.5%)

sample19.0ms (0.5%)

simplify353.0ms (8.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite90.0ms (2.1%)

series449.0ms (10.5%)

simplify57.0ms (1.3%)

prune80.0ms (1.9%)

localize7.0ms (0.2%)

rewrite70.0ms (1.6%)

series323.0ms (7.6%)

simplify57.0ms (1.3%)

prune69.0ms (1.6%)

localize14.0ms (0.3%)

rewrite57.0ms (1.3%)

series404.0ms (9.5%)

simplify64.0ms (1.5%)

prune71.0ms (1.7%)

regimes285.0ms (6.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (26.3%)

Profiling