Details

analyze509.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4862	72
1	4862	72
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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify187.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (181.0ms)

Iter	Nodes	Cost
0	5305	18

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

1.5b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 x (/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))))

0.6b

(-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

7.6b

(/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))

rewrite83.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

1.5b

Rules

13×	`*-un-lft-identity_binary64_10308`
11×	`add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330`
9×	`times-frac_binary64_10314`
7×	`add-log-exp_binary64_10347`
5×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
3×	`pow1_binary64_10369` `associate-/l_binary64_10253` `associate-/r_binary64_10252`
2×	`flip3--_binary64_10312` `associate-/r/_binary64_10254` `flip--_binary64_10283`
1×	`div-exp_binary64_10359` `cbrt-undiv_binary64_10342` `frac-2neg_binary64_10319` `clear-num_binary64_10307` `div-inv_binary64_10305` `diff-log_binary64_10400` `sub-neg_binary64_10301` `cancel-sign-sub-inv_binary64_10274` `sum-log_binary64_10399` `flip3-+_binary64_10311` `flip-+_binary64_10282` `distribute-lft-out_binary64_10259` `+-commutative_binary64_10238`

Counts

3 → 53

Calls

3 calls:

10.0ms

(+.f64 x (/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))))

7.0ms

(/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))

5.0ms

(-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

Compiler

Compiled 1240 to 591 computations (52.3% saved)

series705.0ms (11%)

Error

0.0b

Counts

3 → 56

Calls

3 calls:

289.0ms

(+.f64 x (/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))))

232.0ms

(/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))

127.0ms

(-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

Compiler

Compiled 2377 to 1719 computations (27.7% saved)

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5133	2365

prune124.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	4	110

Error

Counts

110 → 4

Compiler

Compiled 2020 to 980 computations (51.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))
2.7b	(/.f64 (cbrt.f64 y) (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)))
5.1b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))))

rewrite279.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

53×	`add-sqr-sqrt_binary64_10330`
40×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
38×	`cbrt-prod_binary64_10339` `times-frac_binary64_10314`
30×	`associate-r_binary64_10248`
20×	`add-exp-log_binary64_10346`
16×	`pow1_binary64_10369`
11×	`add-cbrt-cube_binary64_10344`
7×	`prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276` `associate-l_binary64_10249`
6×	`add-log-exp_binary64_10347` `associate-/l*_binary64_10253` `pow1/3_binary64_10390` `swap-sqr_binary64_10275`
5×	`pow-prod-down_binary64_10379`
4×	`associate-/r/_binary64_10254`
3×	`div-exp_binary64_10359` `cbrt-undiv_binary64_10342` `flip3--_binary64_10312` `flip--_binary64_10283` `associate-/r*_binary64_10252`
2×	`div-inv_binary64_10305` `*-commutative_binary64_10239` `pow-prod-up_binary64_10378` `pow-sqr_binary64_10281`
1×	`associate-*r/_binary64_10250` `frac-2neg_binary64_10319` `clear-num_binary64_10307` `diff-log_binary64_10400` `sub-neg_binary64_10301` `cancel-sign-sub-inv_binary64_10274` `pow2_binary64_10389` `pow-plus_binary64_10371`

Counts

4 → 140

Calls

4 calls:

27.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))))
7.0ms	(/.f64 (cbrt.f64 y) (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)))
6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
5.0ms	(-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))

Compiler

Compiled 4177 to 1564 computations (62.6% saved)

series1.0s (15.9%)

Error

Counts

4 → 55

Calls

4 calls:

409.0ms	(/.f64 (cbrt.f64 y) (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)))
264.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))))
162.0ms	(-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))
105.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))

Compiler

Compiled 3499 to 2429 computations (30.6% saved)

simplify128.0ms (2%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4958	4067
1	4958	4067

prune228.0ms (3.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	195	4	199

Error

Counts

199 → 4

Compiler

Compiled 4864 to 2079 computations (57.3% saved)

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

Counts

4 → 4

Compiler

Compiled 16 to 12 computations (25% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.6b

(-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x))

0.7b

(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x))))

2.0b

(/.f64 (sqrt.f64 y) (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)))

rewrite228.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`add-sqr-sqrt_binary64_10330`
40×	`times-frac_binary64_10314`
33×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
29×	`sqrt-prod_binary64_10324`
24×	`associate-r_binary64_10248`
10×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
6×	`associate-/l_binary64_10253` `unswap-sqr_binary64_10276` `associate-l*_binary64_10249`
5×	`pow1_binary64_10369` `add-log-exp_binary64_10347`
4×	`associate-/r/_binary64_10254`
3×	`flip3--_binary64_10312` `flip--_binary64_10283` `associate-/r*_binary64_10252`
2×	`div-exp_binary64_10359` `cbrt-undiv_binary64_10342` `div-inv_binary64_10305` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341`
1×	`frac-2neg_binary64_10319` `clear-num_binary64_10307` `pow-prod-down_binary64_10379` `associate-r/_binary64_10250` `-commutative_binary64_10239` `diff-log_binary64_10400` `sub-neg_binary64_10301` `cancel-sign-sub-inv_binary64_10274`

Counts

3 → 103

Calls

3 calls:

36.0ms

(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x))))

12.0ms

(/.f64 (sqrt.f64 y) (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)))

9.0ms

(-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x))

Compiler

Compiled 2992 to 1256 computations (58% saved)

series753.0ms (11.8%)

Error

Counts

3 → 49

Calls

3 calls:

303.0ms

(/.f64 (sqrt.f64 y) (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)))

261.0ms

(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x))))

143.0ms

(-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x))

Compiler

Compiled 2745 to 1904 computations (30.6% saved)

simplify139.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4983	3629
1	4983	3629

prune181.0ms (2.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	152	4	156

Error

Counts

156 → 4

Compiler

Compiled 3588 to 1599 computations (55.4% saved)

regimes337.0ms (5.3%)

Accuracy

Total 0.4b remaining (99.3%)

Threshold costs 0.4b (99.3%)

Compiler

Compiled 2616 to 1996 computations (23.7% saved)

bsearch45.0ms (0.7%)

Steps

Iters	Range		Point
7	3677416999216.4077	470262124096873.25	3737532892318.573
10	-19817106.2146639	-3.996115098967217e-05	-215.97089423619695

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	56
1	58	56

end0.0ms (0%)

sample1.3s (20.3%)

Algorithm

1×

intervals

Results

407.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 491 to 373 computations (24% saved)

Details

analyze509.0ms (8%)

sample19.0ms (0.3%)

simplify187.0ms (2.9%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite83.0ms (1.3%)

series705.0ms (11%)

simplify91.0ms (1.4%)

prune124.0ms (1.9%)

localize14.0ms (0.2%)

rewrite279.0ms (4.4%)

series1.0s (15.9%)

simplify128.0ms (2%)

prune228.0ms (3.6%)

localize3.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite228.0ms (3.6%)

series753.0ms (11.8%)

simplify139.0ms (2.2%)

prune181.0ms (2.8%)

regimes337.0ms (5.3%)

bsearch45.0ms (0.7%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (20.3%)

Profiling