Details

analyze100.0ms (1.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample16.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12

prune3.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.1b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite103.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64_4170`
26×	`add-sqr-sqrt_binary64_4192`
21×	`distribute-lft-out_binary64_4121`
18×	`times-frac_binary64_4176`
15×	`add-cube-cbrt_binary64_4205`
14×	`sqrt-prod_binary64_4186`
6×	`associate-/r*_binary64_4114`
5×	`add-exp-log_binary64_4208` `add-log-exp_binary64_4209` `add-cbrt-cube_binary64_4206`
4×	`pow1_binary64_4231`
3×	`flip3-+_binary64_4173` `flip-+_binary64_4144` `associate-/l*_binary64_4115`
2×	`associate-/r/_binary64_4116` `sqrt-div_binary64_4187`
1×	`div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `frac-2neg_binary64_4181` `clear-num_binary64_4169` `div-inv_binary64_4167` `sum-log_binary64_4261` `+-commutative_binary64_4100` `pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183`

Counts

3 → 71

Calls

3 calls:

8.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 1133 to 876 computations (22.7% saved)

series86.0ms (1.4%)

Error

0.1b

Counts

3 → 18

Calls

3 calls:

37.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
18.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
17.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 446 to 364 computations (18.4% saved)

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4923	1202
1	4923	1202

prune83.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	4	90

Error

Counts

90 → 4

Compiler

Compiled 1178 to 888 computations (24.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0b	(sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.4b	(/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
0.4b	(/.f64 (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))

rewrite1.5s (24.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

602×	`*-un-lft-identity_binary64_4170`
594×	`times-frac_binary64_4176`
560×	`sqrt-prod_binary64_4186`
394×	`add-sqr-sqrt_binary64_4192`
280×	`distribute-lft-out_binary64_4121`
252×	`add-cube-cbrt_binary64_4205`
36×	`associate-/l*_binary64_4115`
28×	`sqrt-div_binary64_4187`
24×	`associate-/r/_binary64_4116`
18×	`associate-/r*_binary64_4114`
14×	`flip3-+_binary64_4173` `flip-+_binary64_4144`
12×	`div-inv_binary64_4167`
11×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
6×	`pow1_binary64_4231`
4×	`div-exp_binary64_4221` `add-log-exp_binary64_4209` `cbrt-undiv_binary64_4204`
2×	`frac-2neg_binary64_4181` `clear-num_binary64_4169` `pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183`
1×	`associate-/l/_binary64_4117`

Counts

4 → 445

Calls

4 calls:

30.0ms	(/.f64 (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
9.0ms	(/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
6.0ms	(sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 15420 to 12591 computations (18.3% saved)

series241.0ms (4%)

Error

Counts

4 → 24

Calls

4 calls:

82.0ms	(/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
47.0ms	(sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
41.0ms	(sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
39.0ms	(/.f64 (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))

Compiler

Compiled 1446 to 1262 computations (12.7% saved)

simplify223.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

469 → 469

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4922	15344
1	4922	15344

prune890.0ms (14.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	468	1	469
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	469	4	473

Error

Counts

473 → 4

Compiler

Compiled 11680 to 9111 computations (22% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite134.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_4201`
23×	`add-sqr-sqrt_binary64_4192`
15×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
11×	`pow1_binary64_4231`
9×	`pow1/3_binary64_4252`
6×	`add-exp-log_binary64_4208` `swap-sqr_binary64_4137` `associate-l_binary64_4111` `associate-r_binary64_4110`
4×	`add-log-exp_binary64_4209` `add-cbrt-cube_binary64_4206` `unswap-sqr_binary64_4138`
2×	`pow-prod-down_binary64_4241` `pow-prod-up_binary64_4240` `pow-sqr_binary64_4143`
1×	`pow2_binary64_4251` `pow-plus_binary64_4233` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `*-commutative_binary64_4101`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2400 to 1546 computations (35.6% saved)

series348.0ms (5.8%)

Error

Counts

4 → 12

Calls

4 calls:

97.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
77.0ms	(cbrt.f64 x)
77.0ms	(cbrt.f64 x)
76.0ms	(cbrt.f64 x)

Compiler

Compiled 1095 to 909 computations (17% saved)

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune138.0ms (2.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Error

Counts

89 → 4

Compiler

Compiled 2605 to 1838 computations (29.4% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0b	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.2b	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))

rewrite245.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`*-un-lft-identity_binary64_4170`
92×	`add-sqr-sqrt_binary64_4192`
79×	`sqrt-prod_binary64_4186`
76×	`times-frac_binary64_4176`
57×	`distribute-lft-out_binary64_4121`
47×	`add-cube-cbrt_binary64_4205`
42×	`associate-r_binary64_4110`
11×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
7×	`pow1_binary64_4231`
6×	`add-log-exp_binary64_4209` `unswap-sqr_binary64_4138` `associate-l_binary64_4111` `associate-/l_binary64_4115` `associate-/r_binary64_4114`
4×	`flip3-+_binary64_4173` `associate-/r/_binary64_4116` `flip-+_binary64_4144`
2×	`div-exp_binary64_4221` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `cbrt-undiv_binary64_4204` `div-inv_binary64_4167` `sqrt-div_binary64_4187`
1×	`pow-prod-down_binary64_4241` `associate-r/_binary64_4112` `-commutative_binary64_4101` `frac-2neg_binary64_4181` `clear-num_binary64_4169` `sum-log_binary64_4261` `+-commutative_binary64_4100` `pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183`

Counts

4 → 160

Calls

4 calls:

23.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
9.0ms	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 3521 to 2199 computations (37.5% saved)

series131.0ms (2.2%)

Error

Counts

4 → 21

Calls

4 calls:

44.0ms	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
40.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
17.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
16.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 740 to 546 computations (26.2% saved)

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5028	3000

prune180.0ms (3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	181	4	185

Error

Counts

185 → 4

Compiler

Compiled 3197 to 1999 computations (37.5% saved)

regimes153.0ms (2.6%)

Accuracy

Total 0.2b remaining (99.9%)

Threshold costs 0.2b (99.9%)

Compiler

Compiled 1364 to 1111 computations (18.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	15
1	12	15

end0.0ms (0%)

sample1.1s (19.2%)

Algorithm

1×

intervals

Results

241.0ms	7996×	body	128	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 637 to 519 computations (18.5% saved)

Details

analyze100.0ms (1.7%)

sample16.0ms (0.3%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize5.0ms (0.1%)

rewrite103.0ms (1.7%)

series86.0ms (1.4%)

simplify66.0ms (1.1%)

prune83.0ms (1.4%)

localize7.0ms (0.1%)

rewrite1.5s (24.6%)

series241.0ms (4%)

simplify223.0ms (3.7%)

prune890.0ms (14.9%)

localize17.0ms (0.3%)

rewrite134.0ms (2.2%)

series348.0ms (5.8%)

simplify79.0ms (1.3%)

prune138.0ms (2.3%)

localize7.0ms (0.1%)

rewrite245.0ms (4.1%)

series131.0ms (2.2%)

simplify85.0ms (1.4%)

prune180.0ms (3%)

regimes153.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (19.2%)

Profiling