Details

analyze841.0ms (9.8%)

Algorithm

2×	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%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	87.4%	12.6%	5
0%	87.4%	12.6%	5
9.4%	65.5%	25.1%	6
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
14%	60.8%	25.1%	7
19.5%	49.1%	31.4%	8
19.5%	49.1%	31.4%	8
24.6%	37.8%	37.6%	9
24.6%	37.8%	37.6%	9
28.7%	33.7%	37.6%	10
28.7%	33.7%	37.6%	10
33.3%	26%	40.7%	11
33.3%	26%	40.7%	11
36.2%	19.9%	43.8%	12
36.2%	19.9%	43.8%	12
38.6%	17.6%	43.8%	13
38.6%	17.6%	43.8%	13
41.3%	13.3%	45.4%	14
41.3%	13.3%	45.4%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample1.2s (13.9%)

Algorithm

2×

intervals

Results

22.0ms	512×	body	128	valid
20.0ms	529×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 4697 to 5738 computations (-22.2% saved)

simplify262.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (257.0ms)

Iter	Nodes	Cost
0	5063	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

15.5b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.1%)

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)))
15.0b	(log.f64 (/.f64 x y))

rewrite138.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

65×	`log-prod_binary64_10735`
45×	`times-frac_binary64_10655`
43×	`add-sqr-sqrt_binary64_10671`
41×	`add-cube-cbrt_binary64_10684` `*-un-lft-identity_binary64_10649`
26×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `associate--l+_binary64_10586`
8×	`add-exp-log_binary64_10687`
7×	`pow1_binary64_10710`
5×	`div-inv_binary64_10646` `add-log-exp_binary64_10688` `add-cbrt-cube_binary64_10685`
4×	`associate-r_binary64_10589`
3×	`associate-l_binary64_10590` `cancel-sign-sub-inv_binary64_10615`
2×	`log-pow_binary64_10738` `rem-log-exp_binary64_10690`
1×	`log-div_binary64_10736` `div-exp_binary64_10700` `pow-prod-down_binary64_10720` `prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `unswap-sqr_binary64_10617` `*-commutative_binary64_10580` `diff-log_binary64_10741` `flip3--_binary64_10653` `sub-neg_binary64_10642` `flip--_binary64_10624`

Counts

3 → 109

Calls

3 calls:

8.0ms	(-.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))

Compiler

Compiled 1824 to 491 computations (73.1% saved)

series919.0ms (10.7%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

441.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
248.0ms	(*.f64 x (log.f64 (/.f64 x y)))
206.0ms	(log.f64 (/.f64 x y))

Compiler

Compiled 807 to 630 computations (21.9% saved)

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4965	1964
1	4965	1964

prune129.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	130	6	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	130	7	137

Error

0.0b

Counts

137 → 7

Compiler

Compiled 2020 to 531 computations (73.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)

rewrite54.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_10680`
8×	`add-cube-cbrt_binary64_10684` `add-sqr-sqrt_binary64_10671` `*-un-lft-identity_binary64_10649`
4×	`pow1/3_binary64_10731` `pow1_binary64_10710` `add-log-exp_binary64_10688` `add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`

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)

series487.0ms (5.6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt.f64 y)
122.0ms	(cbrt.f64 y)
113.0ms	(cbrt.f64 x)
109.0ms	(cbrt.f64 x)

Compiler

Compiled 780 to 559 computations (28.3% saved)

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4832	324
1	4832	324

prune73.0ms (0.8%)

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 1317 to 508 computations (61.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)

rewrite58.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_10680`
8×	`add-cube-cbrt_binary64_10684` `add-sqr-sqrt_binary64_10671` `*-un-lft-identity_binary64_10649`
4×	`pow1/3_binary64_10731` `pow1_binary64_10710` `add-log-exp_binary64_10688` `add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`

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)

Compiler

Compiled 1108 to 380 computations (65.7% saved)

series500.0ms (5.8%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt.f64 x)
122.0ms	(cbrt.f64 y)
118.0ms	(cbrt.f64 x)
118.0ms	(cbrt.f64 y)

Compiler

Compiled 852 to 590 computations (30.8% saved)

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4832	324
1	4832	324

prune74.0ms (0.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Error

0.0b

Counts

63 → 7

Compiler

Compiled 1408 to 518 computations (63.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
4.1b	(log.f64 (/.f64 x (cbrt.f64 y)))

rewrite89.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`log-prod_binary64_10735`
20×	`add-cube-cbrt_binary64_10684` `add-sqr-sqrt_binary64_10671` `*-un-lft-identity_binary64_10649`
18×	`times-frac_binary64_10655` `cbrt-prod_binary64_10680`
7×	`add-exp-log_binary64_10687`
5×	`pow1_binary64_10710`
4×	`add-log-exp_binary64_10688` `add-cbrt-cube_binary64_10685`
3×	`pow1/3_binary64_10731`
2×	`rem-log-exp_binary64_10690`
1×	`log-pow_binary64_10738` `log-div_binary64_10736` `div-inv_binary64_10646` `div-exp_binary64_10700`

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)

Compiler

Compiled 1726 to 635 computations (63.2% saved)

series829.0ms (9.6%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

462.0ms	(log.f64 (/.f64 x (cbrt.f64 y)))
119.0ms	(cbrt.f64 y)
118.0ms	(cbrt.f64 y)
111.0ms	(cbrt.f64 y)

Compiler

Compiled 1062 to 753 computations (29.1% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4932	856
1	4932	856

prune100.0ms (1.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	81	7	88

Error

0.0b

Counts

88 → 7

Compiler

Compiled 1972 to 737 computations (62.6% saved)

regimes505.0ms (5.9%)

Accuracy

Total 0.2b remaining (98.2%)

Threshold costs 0.2b (98.2%)

Compiler

Compiled 4238 to 3043 computations (28.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	31
1	26	31

end0.0ms (0%)

sample2.0s (23%)

Algorithm

1×

intervals

Results

365.0ms	8000×	body	128	valid
289.0ms	8076×	body	128	nan
2.0ms	39×	body	128	invalid

Compiler

Compiled 874 to 626 computations (28.4% saved)

Details

analyze841.0ms (9.8%)

sample1.2s (13.9%)

simplify262.0ms (3%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite138.0ms (1.6%)

series919.0ms (10.7%)

simplify86.0ms (1%)

prune129.0ms (1.5%)

localize15.0ms (0.2%)

rewrite54.0ms (0.6%)

series487.0ms (5.6%)

simplify81.0ms (0.9%)

prune73.0ms (0.8%)

localize14.0ms (0.2%)

rewrite58.0ms (0.7%)

series500.0ms (5.8%)

simplify80.0ms (0.9%)

prune74.0ms (0.9%)

localize15.0ms (0.2%)

rewrite89.0ms (1%)

series829.0ms (9.6%)

simplify74.0ms (0.9%)

prune100.0ms (1.2%)

regimes505.0ms (5.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (23%)

Profiling