Details

analyze591.0ms (12.1%)

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)

sample23.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	32×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify274.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (269.0ms)

Iter	Nodes	Cost
0	5063	12

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

14.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(*.f64 x (log.f64 (/.f64 x y)))
14.0b	(log.f64 (/.f64 x y))

rewrite81.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

39×	`log-prod_binary64_11076`
27×	`add-sqr-sqrt_binary64_11012` `times-frac_binary64_10996`
25×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
13×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
7×	`add-exp-log_binary64_11028`
6×	`pow1_binary64_11051`
4×	`add-cbrt-cube_binary64_11026` `associate-r_binary64_10930`
3×	`div-inv_binary64_10987` `associate-l_binary64_10931`
2×	`log-pow_binary64_11079` `rem-log-exp_binary64_11031` `add-log-exp_binary64_11029`
1×	`log-div_binary64_11077` `div-exp_binary64_11041` `pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `*-commutative_binary64_10921`

Counts

2 → 69

Calls

2 calls:

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

Compiler

Compiled 1100 to 340 computations (69.1% saved)

series294.0ms (6%)

Error

0.1b

Counts

2 → 12

Calls

2 calls:

165.0ms	(*.f64 x (log.f64 (/.f64 x y)))
119.0ms	(log.f64 (/.f64 x y))

Compiler

Compiled 414 to 334 computations (19.3% saved)

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5307	1203

prune76.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	74	7	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	8	82

Error

0.0b

Counts

82 → 8

Compiler

Compiled 1248 to 384 computations (69.2% saved)

localize13.0ms (0.3%)

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)

rewrite50.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_11021`
8×	`add-cube-cbrt_binary64_11025` `add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
4×	`pow1/3_binary64_11072` `pow1_binary64_11051` `add-log-exp_binary64_11029` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`

Counts

4 → 44

Calls

4 calls:

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

Compiler

Compiled 1108 to 380 computations (65.7% saved)

series330.0ms (6.8%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt.f64 y)
81.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 x)
75.0ms	(cbrt.f64 y)

Compiler

Compiled 852 to 590 computations (30.8% saved)

simplify83.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4832	324
1	4832	324

prune57.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	56	8	64

Error

0.0b

Counts

64 → 8

Compiler

Compiled 1451 to 540 computations (62.8% saved)

localize12.0ms (0.2%)

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)

rewrite45.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_11021`
8×	`add-cube-cbrt_binary64_11025` `add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
4×	`pow1/3_binary64_11072` `pow1_binary64_11051` `add-log-exp_binary64_11029` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`

Counts

4 → 44

Calls

4 calls:

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

Compiler

Compiled 1020 to 357 computations (65% saved)

series316.0ms (6.5%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt.f64 x)
78.0ms	(cbrt.f64 y)
74.0ms	(cbrt.f64 x)
72.0ms	(cbrt.f64 y)

Compiler

Compiled 780 to 559 computations (28.3% saved)

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4832	324
1	4832	324

prune54.0ms (1.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	56	8	64

Error

0.0b

Counts

64 → 8

Compiler

Compiled 1320 to 505 computations (61.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
14.0b	(log.f64 (/.f64 x y))

rewrite52.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-cube-cbrt_binary64_11025` `add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
13×	`log-prod_binary64_11076`
9×	`times-frac_binary64_10996` `cbrt-prod_binary64_11021`
7×	`add-exp-log_binary64_11028`
5×	`pow1_binary64_11051`
4×	`add-log-exp_binary64_11029` `add-cbrt-cube_binary64_11026`
3×	`pow1/3_binary64_11072`
2×	`rem-log-exp_binary64_11031`
1×	`log-pow_binary64_11079` `log-div_binary64_11077` `div-inv_binary64_10987` `div-exp_binary64_11041`

Counts

4 → 57

Calls

4 calls:

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

Compiler

Compiled 1148 to 304 computations (73.5% saved)

series371.0ms (7.6%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

124.0ms	(log.f64 (/.f64 x y))
82.0ms	(cbrt.f64 x)
79.0ms	(cbrt.f64 x)
73.0ms	(cbrt.f64 x)

Compiler

Compiled 810 to 525 computations (35.2% saved)

simplify59.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5673	577

prune53.0ms (1.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	72	8	80

Error

0.0b

Counts

80 → 8

Compiler

Compiled 1335 to 330 computations (75.3% saved)

regimes413.0ms (8.5%)

Accuracy

Total 0.2b remaining (97.4%)

Threshold costs 0.2b (97.4%)

Compiler

Compiled 4236 to 2942 computations (30.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	34
1	28	34

end0.0ms (0%)

sample1.5s (30.1%)

Algorithm

1×

intervals

Results

353.0ms	8000×	body	128	valid
38.0ms	761×	body	128	nan
2.0ms	37×	body	128	invalid

Compiler

Compiled 879 to 611 computations (30.5% saved)

Details

analyze591.0ms (12.1%)

sample23.0ms (0.5%)

simplify274.0ms (5.6%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite81.0ms (1.7%)

series294.0ms (6%)

simplify61.0ms (1.3%)

prune76.0ms (1.5%)

localize13.0ms (0.3%)

rewrite50.0ms (1%)

series330.0ms (6.8%)

simplify83.0ms (1.7%)

prune57.0ms (1.2%)

localize12.0ms (0.2%)

rewrite45.0ms (0.9%)

series316.0ms (6.5%)

simplify84.0ms (1.7%)

prune54.0ms (1.1%)

localize10.0ms (0.2%)

rewrite52.0ms (1.1%)

series371.0ms (7.6%)

simplify59.0ms (1.2%)

prune53.0ms (1.1%)

regimes413.0ms (8.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (30.1%)

Profiling