Details

analyze583.0ms (14.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5365	48
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%	87.4%	12.6%	5
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
19.5%	49.1%	31.4%	8
24.6%	37.8%	37.6%	9
28.7%	33.7%	37.6%	10
33.3%	26%	40.7%	11
36.2%	19.9%	43.8%	12
38.6%	17.6%	43.8%	13
41.3%	13.3%	45.4%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	26×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify279.0ms (7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (274.0ms)

Iter	Nodes	Cost
0	5063	12

prune2.0ms (0.1%)

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

17.9b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
0.3b	(*.f64 x (log.f64 (/.f64 x y)))
17.3b	(log.f64 (/.f64 x y))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`log-prod_binary64_13804`
45×	`times-frac_binary64_13724`
43×	`add-sqr-sqrt_binary64_13740`
41×	`*-un-lft-identity_binary64_13718` `add-cube-cbrt_binary64_13753`
26×	`distribute-lft-in_binary64_13667` `distribute-rgt-in_binary64_13668` `associate--l+_binary64_13655`
8×	`add-exp-log_binary64_13756`
7×	`pow1_binary64_13779`
5×	`add-log-exp_binary64_13757` `add-cbrt-cube_binary64_13754` `div-inv_binary64_13715`
4×	`associate-r_binary64_13658`
3×	`associate-l_binary64_13659` `cancel-sign-sub-inv_binary64_13684`
2×	`rem-log-exp_binary64_13759` `log-pow_binary64_13807`
1×	`*-commutative_binary64_13649` `sub-neg_binary64_13711` `prod-exp_binary64_13767` `unswap-sqr_binary64_13686` `diff-log_binary64_13810` `pow-prod-down_binary64_13789` `div-exp_binary64_13769` `cbrt-unprod_binary64_13751` `flip3--_binary64_13722` `flip--_binary64_13693` `log-div_binary64_13805`

Counts

3 → 109

Calls

3 calls:

7.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
6.0ms	(*.f64 x (log.f64 (/.f64 x y)))
3.0ms	(log.f64 (/.f64 x y))

series122.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

55.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
39.0ms	(*.f64 x (log.f64 (/.f64 x y)))
27.0ms	(log.f64 (/.f64 x y))

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5006	1782

prune103.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	112	6	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	112	7	119

Error

0.0b

Counts

119 → 7

Compiler

Compiled 1896 to 503 computations (73.5% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_13749`
8×	`add-sqr-sqrt_binary64_13740` `*-un-lft-identity_binary64_13718` `add-cube-cbrt_binary64_13753`
4×	`pow1_binary64_13779` `add-log-exp_binary64_13757` `add-cbrt-cube_binary64_13754` `pow1/3_binary64_13800` `add-exp-log_binary64_13756`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series341.0ms (8.6%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt.f64 x)
88.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)
81.0ms	(cbrt.f64 x)

simplify33.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5087	340

prune55.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	56	7	63

Error

0.0b

Counts

63 → 7

Compiler

Compiled 1452 to 557 computations (61.6% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
6.1b	(log.f64 (/.f64 x (cbrt.f64 y)))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`log-prod_binary64_13804`
20×	`add-sqr-sqrt_binary64_13740` `*-un-lft-identity_binary64_13718` `add-cube-cbrt_binary64_13753`
18×	`times-frac_binary64_13724` `cbrt-prod_binary64_13749`
7×	`add-exp-log_binary64_13756`
5×	`pow1_binary64_13779`
4×	`add-log-exp_binary64_13757` `add-cbrt-cube_binary64_13754`
3×	`pow1/3_binary64_13800`
2×	`rem-log-exp_binary64_13759`
1×	`log-pow_binary64_13807` `div-exp_binary64_13769` `log-div_binary64_13805` `div-inv_binary64_13715`

Counts

4 → 66

Calls

4 calls:

4.0ms	(log.f64 (/.f64 x (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series356.0ms (9%)

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt.f64 y)
90.0ms	(log.f64 (/.f64 x (cbrt.f64 y)))
86.0ms	(cbrt.f64 y)
84.0ms	(cbrt.f64 y)

simplify60.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4916	846
1	4916	846

prune82.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Error

0.0b

Counts

85 → 7

Compiler

Compiled 2002 to 787 computations (60.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (log.f64 (/.f64 x y)))
17.3b	(log.f64 (/.f64 x y))
17.3b	(log.f64 (/.f64 x y))
17.3b	(log.f64 (/.f64 x y))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`log-prod_binary64_13804`
27×	`times-frac_binary64_13724`
26×	`add-sqr-sqrt_binary64_13740` `*-un-lft-identity_binary64_13718` `add-cube-cbrt_binary64_13753`
13×	`add-exp-log_binary64_13756`
8×	`pow1_binary64_13779`
6×	`rem-log-exp_binary64_13759`
4×	`add-log-exp_binary64_13757` `add-cbrt-cube_binary64_13754` `log-pow_binary64_13807` `cbrt-prod_binary64_13749`
3×	`div-exp_binary64_13769` `log-div_binary64_13805` `div-inv_binary64_13715`
1×	`pow1/3_binary64_13800`

Counts

4 → 84

Calls

4 calls:

3.0ms	(log.f64 (/.f64 x y))
3.0ms	(log.f64 (/.f64 x y))
3.0ms	(log.f64 (/.f64 x y))
1.0ms	(cbrt.f64 (log.f64 (/.f64 x y)))

series161.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt.f64 (log.f64 (/.f64 x y)))
26.0ms	(log.f64 (/.f64 x y))
26.0ms	(log.f64 (/.f64 x y))
25.0ms	(log.f64 (/.f64 x y))

simplify111.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4935	1091
1	4935	1091

prune84.0ms (2.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	96	7	103

Error

0.0b

Counts

103 → 7

Compiler

Compiled 2454 to 496 computations (79.8% saved)

regimes291.0ms (7.3%)

Accuracy

Total 0.2b remaining (95.6%)

Threshold costs 0.2b (95.6%)

Compiler

Compiled 2787 to 1912 computations (31.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	34
1	28	34

end0.0ms (0%)

sample1.1s (27.9%)

Algorithm

1×

intervals

Results

343.0ms	8000×	body	128	valid
24.0ms	726×	body	128	nan
1.0ms	36×	body	128	invalid

Compiler

Compiled 587 to 403 computations (31.3% saved)

Details

analyze583.0ms (14.7%)

sample19.0ms (0.5%)

simplify279.0ms (7%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite29.0ms (0.7%)

series122.0ms (3.1%)

simplify56.0ms (1.4%)

prune103.0ms (2.6%)

localize16.0ms (0.4%)

rewrite8.0ms (0.2%)

series341.0ms (8.6%)

simplify33.0ms (0.8%)

prune55.0ms (1.4%)

localize17.0ms (0.4%)

rewrite13.0ms (0.3%)

series356.0ms (9%)

simplify60.0ms (1.5%)

prune82.0ms (2.1%)

localize11.0ms (0.3%)

rewrite19.0ms (0.5%)

series161.0ms (4.1%)

simplify111.0ms (2.8%)

prune84.0ms (2.1%)

regimes291.0ms (7.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (27.9%)

Profiling