Details

analyze416.0ms (10.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5216	32
0	2	2
1	2	2

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
12.5%	87.4%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.7%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	216×	body	128	valid
2.0ms	18×	body	1024	valid
1.0ms	14×	body	512	valid
0.0ms	8×	body	256	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify191.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (185.0ms)

Iter	Nodes	Cost
0	4852	16
1	4852	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

20.2b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) y)
2.0b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
8.8b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_21902`
17×	`add-sqr-sqrt_binary64_21924`
10×	`cancel-sign-sub-inv_binary64_21868` `add-cbrt-cube_binary64_21938` `add-exp-log_binary64_21940`
9×	`add-cube-cbrt_binary64_21937`
8×	`times-frac_binary64_21908`
6×	`associate-l_binary64_21843`
5×	`pow1_binary64_21963` `add-log-exp_binary64_21941`
4×	`associate-/r/_binary64_21848` `difference-of-squares_binary64_21871` `associate-l/_binary64_21845` `associate-/r_binary64_21846`
3×	`associate-r_binary64_21842` `flip--_binary64_21877` `distribute-lft-out_binary64_21853` `flip3--_binary64_21906`
2×	`cbrt-unprod_binary64_21935` `div-inv_binary64_21899` `flip3-+_binary64_21905` `distribute-lft-out--_binary64_21854` `prod-exp_binary64_21951` `div-exp_binary64_21953` `flip-+_binary64_21876` `cbrt-undiv_binary64_21936` `associate-/l/_binary64_21849`
1×	`sub-neg_binary64_21895` `clear-num_binary64_21901` `pow-prod-down_binary64_21973` `diff-log_binary64_21994` `frac-2neg_binary64_21913` `associate-/l_binary64_21847` `unswap-sqr_binary64_21870` `-commutative_binary64_21833`

Counts

3 → 74

Calls

3 calls:

9.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
8.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
7.0ms	(*.f64 (-.f64 1 x) y)

series97.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

50.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
28.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
18.0ms	(*.f64 (-.f64 1 x) y)

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5643	1232

prune101.0ms (2.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	4	84

Error

0.2b

Counts

84 → 4

Compiler

Compiled 1372 to 982 computations (28.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 1 y))
0.0b	(*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y)))
2.0b	(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y))))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_21902`
29×	`add-sqr-sqrt_binary64_21924`
25×	`times-frac_binary64_21908`
21×	`add-cube-cbrt_binary64_21937`
18×	`associate-r_binary64_21842`
10×	`add-cbrt-cube_binary64_21938` `add-exp-log_binary64_21940`
7×	`distribute-lft-out_binary64_21853`
6×	`associate-l_binary64_21843`
5×	`pow1_binary64_21963` `add-log-exp_binary64_21941`
4×	`associate-/r/_binary64_21848` `associate-/r*_binary64_21846`
3×	`flip--_binary64_21877` `flip3--_binary64_21906` `associate-/l*_binary64_21847`
2×	`cbrt-unprod_binary64_21935` `div-inv_binary64_21899` `flip3-+_binary64_21905` `difference-of-squares_binary64_21871` `associate-*l/_binary64_21845` `prod-exp_binary64_21951` `frac-times_binary64_21912` `div-exp_binary64_21953` `flip-+_binary64_21876` `cbrt-undiv_binary64_21936` `unswap-sqr_binary64_21870`
1×	`sub-neg_binary64_21895` `clear-num_binary64_21901` `pow-prod-down_binary64_21973` `cancel-sign-sub-inv_binary64_21868` `diff-log_binary64_21994` `distribute-lft-out--_binary64_21854` `associate-r/_binary64_21844` `frac-2neg_binary64_21913` `-commutative_binary64_21833`

Counts

3 → 89

Calls

3 calls:

13.0ms	(*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y)))
5.0ms	(/.f64 y (+.f64 1 y))
4.0ms	(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y))))

series91.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

51.0ms	(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y))))
27.0ms	(*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y)))
12.0ms	(/.f64 y (+.f64 1 y))

simplify89.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4971	1527
1	4971	1527

prune91.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	98	4	102

Error

0.2b

Counts

102 → 4

Compiler

Compiled 1741 to 1242 computations (28.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 y))
0.3b	(cbrt.f64 (+.f64 1 y))
0.3b	(cbrt.f64 (+.f64 1 y))
7.6b	(-.f64 1 (.f64 (/.f64 (-.f64 1 x) (.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (+.f64 1 y)))) (/.f64 y (cbrt.f64 (+.f64 1 y)))))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_21902`
12×	`cbrt-prod_binary64_21933`
7×	`add-sqr-sqrt_binary64_21924` `add-cube-cbrt_binary64_21937`
6×	`cbrt-div_binary64_21934` `add-log-exp_binary64_21941`
4×	`pow1_binary64_21963` `add-cbrt-cube_binary64_21938` `add-exp-log_binary64_21940`
3×	`flip3-+_binary64_21905` `flip-+_binary64_21876` `distribute-lft-out_binary64_21853` `pow1/3_binary64_21984`
1×	`sub-neg_binary64_21895` `cancel-sign-sub-inv_binary64_21868` `diff-log_binary64_21994` `flip--_binary64_21877` `flip3--_binary64_21906`

Counts

4 → 54

Calls

4 calls:

4.0ms	(-.f64 1 (.f64 (/.f64 (-.f64 1 x) (.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (+.f64 1 y)))) (/.f64 y (cbrt.f64 (+.f64 1 y)))))
3.0ms	(cbrt.f64 (+.f64 1 y))
3.0ms	(cbrt.f64 (+.f64 1 y))
3.0ms	(cbrt.f64 (+.f64 1 y))

series127.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(-.f64 1 (.f64 (/.f64 (-.f64 1 x) (.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (+.f64 1 y)))) (/.f64 y (cbrt.f64 (+.f64 1 y)))))
27.0ms	(cbrt.f64 (+.f64 1 y))
25.0ms	(cbrt.f64 (+.f64 1 y))
23.0ms	(cbrt.f64 (+.f64 1 y))

simplify74.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5469	999

prune89.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	66	4	70

Error

0.2b

Counts

70 → 4

Compiler

Compiled 1760 to 1349 computations (23.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

8.0b	(/.f64 (-.f64 1 (.f64 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y)) (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y)))) (+.f64 1 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y))))
8.8b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))
8.8b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))
8.8b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))

rewrite56.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64_21902`
32×	`times-frac_binary64_21908`
26×	`add-sqr-sqrt_binary64_21924`
21×	`add-cbrt-cube_binary64_21938` `add-cube-cbrt_binary64_21937` `add-exp-log_binary64_21940`
16×	`associate-/r*_binary64_21846`
12×	`distribute-lft-out_binary64_21853`
10×	`difference-of-squares_binary64_21871`
8×	`associate-/r/_binary64_21848` `associate-/l*_binary64_21847` `associate-/l/_binary64_21849`
7×	`div-exp_binary64_21953` `cbrt-undiv_binary64_21936`
6×	`associate-*l/_binary64_21845`
4×	`clear-num_binary64_21901` `div-inv_binary64_21899` `flip3-+_binary64_21905` `frac-2neg_binary64_21913` `flip--_binary64_21877` `pow1_binary64_21963` `flip-+_binary64_21876` `add-log-exp_binary64_21941` `flip3--_binary64_21906`
3×	`cbrt-unprod_binary64_21935` `prod-exp_binary64_21951`
1×	`div-sub_binary64_21907`

Counts

4 → 127

Calls

4 calls:

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

series405.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

328.0ms	(/.f64 (-.f64 1 (.f64 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y)) (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y)))) (+.f64 1 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y))))
27.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))
26.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))
24.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))

simplify98.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4980	3775
1	4980	3775

prune294.0ms (7.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	138	5	143

Error

0.2b

Counts

143 → 5

Compiler

Compiled 5392 to 3991 computations (26% saved)

regimes446.0ms (10.9%)

Accuracy

Total 0.0b remaining (11.2%)

Threshold costs 0.0b (11.2%)

Compiler

Compiled 3630 to 3017 computations (16.9% saved)

bsearch34.0ms (0.8%)

Steps

Iters	Range		Point
9	412.41312091536446	68546519648.19862	104353065.07989605
7	-468370169.47527635	-23353462.254570387	-81290706.87963904

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	171	46
1	171	46

end0.0ms (0%)

sample1.2s (29%)

Algorithm

1×

intervals

Results

197.0ms	6256×	body	128	valid
65.0ms	606×	body	1024	valid
61.0ms	686×	body	512	valid
29.0ms	444×	body	256	valid
1.0ms	8×	body	2048	valid

Compiler

Compiled 796 to 654 computations (17.8% saved)

Details

analyze416.0ms (10.2%)

sample21.0ms (0.5%)

simplify191.0ms (4.7%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite29.0ms (0.7%)

series97.0ms (2.4%)

simplify61.0ms (1.5%)

prune101.0ms (2.5%)

localize7.0ms (0.2%)

rewrite29.0ms (0.7%)

series91.0ms (2.2%)

simplify89.0ms (2.2%)

prune91.0ms (2.2%)

localize11.0ms (0.3%)

rewrite18.0ms (0.4%)

series127.0ms (3.1%)

simplify74.0ms (1.8%)

prune89.0ms (2.2%)

localize13.0ms (0.3%)

rewrite56.0ms (1.4%)

series405.0ms (9.9%)

simplify98.0ms (2.4%)

prune294.0ms (7.2%)

regimes446.0ms (10.9%)

bsearch34.0ms (0.8%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.2s (29%)

Profiling