Details

analyze188.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4920	34
1	4920	34
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

Compiler

Compiled 18 to 11 computations (38.9% saved)

sample27.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true
0.0ms	5×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify81.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4836	17
1	4836	17

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.6b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
28.3b	(/.f64 (.f64 b b) (.f64 a a))

rewrite45.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
4×	`prod-exp_binary64_4219` `div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `cbrt-unprod_binary64_4203` `add-sqr-sqrt_binary64_4192`
3×	`pow1_binary64_4231` `add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170` `sqrt-prod_binary64_4186`
2×	`add-log-exp_binary64_4209`
1×	`frac-2neg_binary64_4181` `times-frac_binary64_4176` `clear-num_binary64_4169` `div-inv_binary64_4167` `associate-/l_binary64_4115` `associate-/r_binary64_4114` `pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183`

Counts

2 → 34

Calls

2 calls:

7.0ms	(/.f64 (.f64 b b) (.f64 a a))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 640 to 268 computations (58.1% saved)

series161.0ms (4.8%)

Error

15.6b

Counts

2 → 12

Calls

2 calls:

88.0ms	(/.f64 (.f64 b b) (.f64 a a))
64.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 396 to 374 computations (5.6% saved)

simplify94.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4903	515
1	4903	515

prune40.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	3	47

Error

Counts

47 → 3

Compiler

Compiled 591 to 390 computations (34% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
0.4b	(pow.f64 (/.f64 b a) 2)

rewrite51.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`unpow-prod-down_binary64_4249`
12×	`add-sqr-sqrt_binary64_4192`
11×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
9×	`times-frac_binary64_4176`
5×	`add-exp-log_binary64_4208`
4×	`pow1_binary64_4231`
3×	`pow-unpow_binary64_4247` `sqrt-prod_binary64_4186`
2×	`pow-exp_binary64_4238` `add-log-exp_binary64_4209` `add-cbrt-cube_binary64_4206`
1×	`div-inv_binary64_4167` `pow-pow_binary64_4242` `pow-to-exp_binary64_4239` `div-exp_binary64_4221` `unpow2_binary64_4235` `sqr-pow_binary64_4142` `pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183`

Counts

2 → 42

Calls

2 calls:

5.0ms	(pow.f64 (/.f64 b a) 2)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))

Compiler

Compiled 687 to 467 computations (32% saved)

series145.0ms (4.4%)

Error

Counts

2 → 12

Calls

2 calls:

72.0ms	(pow.f64 (/.f64 b a) 2)
65.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))

Compiler

Compiled 396 to 374 computations (5.6% saved)

simplify54.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5242	651

prune43.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Error

Counts

57 → 3

Compiler

Compiled 707 to 470 computations (33.5% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
0.4b	(pow.f64 (/.f64 b a) 2)
6.7b	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite95.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`unpow-prod-down_binary64_4249`
22×	`add-sqr-sqrt_binary64_4192`
21×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
19×	`log-pow_binary64_4259`
18×	`exp-prod_binary64_4222` `times-frac_binary64_4176`
6×	`pow1_binary64_4231` `add-exp-log_binary64_4208`
3×	`log-prod_binary64_4256` `add-log-exp_binary64_4209` `add-cbrt-cube_binary64_4206` `pow-unpow_binary64_4247` `sqrt-prod_binary64_4186`
2×	`div-inv_binary64_4167` `unpow2_binary64_4235` `sqr-pow_binary64_4142` `pow-exp_binary64_4238`
1×	`rem-log-exp_binary64_4211` `pow-pow_binary64_4242` `pow-to-exp_binary64_4239` `div-exp_binary64_4221` `pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183`

Counts

3 → 72

Calls

3 calls:

7.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
5.0ms	(pow.f64 (/.f64 b a) 2)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

Compiler

Compiled 1364 to 943 computations (30.9% saved)

series363.0ms (10.9%)

Error

Counts

3 → 18

Calls

3 calls:

216.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
67.0ms	(pow.f64 (/.f64 b a) 2)
65.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

Compiler

Compiled 630 to 588 computations (6.7% saved)

simplify60.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5039	948

prune77.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	3	93

Error

Counts

93 → 3

Compiler

Compiled 1277 to 846 computations (33.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
0.0b	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3))
0.0b	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)
0.4b	(pow.f64 (/.f64 b a) 2)

rewrite152.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`unpow-prod-down_binary64_4249`
24×	`add-sqr-sqrt_binary64_4192`
23×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
18×	`cbrt-prod_binary64_4201`
15×	`sqrt-prod_binary64_4186`
12×	`cube-prod_binary64_4198`
9×	`times-frac_binary64_4176`
8×	`pow1_binary64_4231` `add-exp-log_binary64_4208`
6×	`pow-unpow_binary64_4247`
5×	`add-cbrt-cube_binary64_4206`
4×	`pow-pow_binary64_4242` `add-log-exp_binary64_4209`
3×	`pow-exp_binary64_4238` `sqr-pow_binary64_4142`
2×	`pow-to-exp_binary64_4239` `pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `unpow3_binary64_4236` `cube-mult_binary64_4200`
1×	`div-inv_binary64_4167` `div-exp_binary64_4221` `unpow2_binary64_4235` `rem-cube-cbrt_binary64_4193` `sqrt-pow2_binary64_4189` `pow1/3_binary64_4252` `rem-cbrt-cube_binary64_4194` `rem-sqrt-square_binary64_4183`

Counts

4 → 101

Calls

4 calls:

7.0ms	(pow.f64 (/.f64 b a) 2)
3.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3))
3.0ms	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))

Compiler

Compiled 2223 to 1679 computations (24.5% saved)

series369.0ms (11.1%)

Error

Counts

4 → 24

Calls

4 calls:

149.0ms	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)
66.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
66.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3))
65.0ms	(pow.f64 (/.f64 b a) 2)

Compiler

Compiled 954 to 908 computations (4.8% saved)

simplify64.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4948	2044
1	4948	2044

prune122.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	125	3	128

Error

Counts

128 → 3

Compiler

Compiled 1989 to 1452 computations (27% saved)

regimes121.0ms (3.6%)

Accuracy

Total 0.0b remaining (92.1%)

Threshold costs 0.0b (92.1%)

Compiler

Compiled 926 to 764 computations (17.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	17
1	34	17

end0.0ms (0%)

sample941.0ms (28.2%)

Algorithm

1×

intervals

Results

287.0ms	8000×	body	128	valid
161.0ms	8000×	pre	128	true
2.0ms	119×	pre	128	false

Compiler

Compiled 138 to 113 computations (18.1% saved)

Details

analyze188.0ms (5.7%)

sample27.0ms (0.8%)

simplify81.0ms (2.4%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite45.0ms (1.4%)

series161.0ms (4.8%)

simplify94.0ms (2.8%)

prune40.0ms (1.2%)

localize7.0ms (0.2%)

rewrite51.0ms (1.5%)

series145.0ms (4.4%)

simplify54.0ms (1.6%)

prune43.0ms (1.3%)

localize9.0ms (0.3%)

rewrite95.0ms (2.9%)

series363.0ms (10.9%)

simplify60.0ms (1.8%)

prune77.0ms (2.3%)

localize9.0ms (0.3%)

rewrite152.0ms (4.6%)

series369.0ms (11.1%)

simplify64.0ms (1.9%)

prune122.0ms (3.7%)

regimes121.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample941.0ms (28.2%)

Profiling