Details

analyze303.0ms (17.8%)

Algorithm

1×

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%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample14.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	18×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify191.0ms (11.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	542	10
1	542	10

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite15.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767`
6×	`associate-r_binary64_707` `cancel-sign-sub-inv_binary64_733`
5×	`add-cube-cbrt_binary64_802`
4×	`associate-l_binary64_708` `frac-times_binary64_777` `distribute-rgt-in_binary64_717` `distribute-lft-in_binary64_716`
3×	`add-exp-log_binary64_805` `pow1_binary64_828` `flip-+_binary64_741` `flip3-+_binary64_770` `flip--_binary64_742` `add-cbrt-cube_binary64_803` `flip3--_binary64_771`
2×	`sub-neg_binary64_760` `associate-r/_binary64_709` `associate-l/_binary64_710` `difference-of-squares_binary64_736`
1×	`unswap-sqr_binary64_735` `distribute-lft-out_binary64_718` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `*-commutative_binary64_698` `add-log-exp_binary64_806` `distribute-lft-out--_binary64_719` `pow-prod-down_binary64_838`

Counts

1 → 38

Calls

1 calls:

12.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

series56.0ms (3.3%)

Counts

1 → 3

Calls

1 calls:

56.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

simplify60.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4972	608
1	4972	608

prune53.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

Compiler

Compiled 881 to 499 computations (43.4% saved)

localize10.0ms (0.6%)

Local error

Found 3 expressions with local error:

1.8b	(.f64 (-.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y)))
1.9b	(-.f64 (.f64 x x) (.f64 y y))
25.9b	(/.f64 (.f64 (-.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))

rewrite38.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_789`
14×	`*-un-lft-identity_binary64_767` `flip--_binary64_742` `flip3--_binary64_771`
10×	`add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
8×	`frac-times_binary64_777` `associate-/l/_binary64_714`
7×	`add-cube-cbrt_binary64_802`
6×	`associate-l_binary64_708` `difference-of-squares_binary64_736`
5×	`associate-/r*_binary64_711` `pow1_binary64_828` `times-frac_binary64_773` `add-log-exp_binary64_806`
4×	`associate-r_binary64_707` `associate-r/_binary64_709` `associate-l/_binary64_710`
3×	`sub-neg_binary64_760` `cancel-sign-sub-inv_binary64_733` `distribute-lft-out--_binary64_719`
2×	`cbrt-undiv_binary64_801` `cbrt-unprod_binary64_800` `associate-/r/_binary64_713` `prod-exp_binary64_816` `distribute-rgt-in_binary64_717` `distribute-lft-in_binary64_716` `div-exp_binary64_818`
1×	`frac-2neg_binary64_778` `unswap-sqr_binary64_735` `-commutative_binary64_698` `associate-/l_binary64_712` `diff-log_binary64_859` `pow-prod-down_binary64_838` `clear-num_binary64_766` `div-inv_binary64_764`

Counts

3 → 82

Calls

3 calls:

14.0ms	(/.f64 (.f64 (-.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
11.0ms	(.f64 (-.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y)))
4.0ms	(-.f64 (.f64 x x) (.f64 y y))

series287.0ms (16.9%)

Counts

3 → 9

Calls

3 calls:

154.0ms	(/.f64 (.f64 (-.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
93.0ms	(.f64 (-.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y)))
40.0ms	(-.f64 (.f64 x x) (.f64 y y))

simplify65.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5012	1729

prune80.0ms (4.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	91	2	93

Merged error: 0b

Counts

93 → 2

Compiler

Compiled 1939 to 758 computations (60.9% saved)

regimes49.0ms (2.9%)

Compiler: Compiled 164 to 158 computations (3.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms (0%)

sample470.0ms (27.7%)

Algorithm

1×

intervals

Results

206.0ms	8000×	body	128	valid
14.0ms	575×	body	128	invalid

Compiler

Compiled 37 to 36 computations (2.7% saved)

Details

analyze303.0ms (17.8%)

sample14.0ms (0.8%)

simplify191.0ms (11.2%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite15.0ms (0.9%)

series56.0ms (3.3%)

simplify60.0ms (3.5%)

prune53.0ms (3.1%)

localize10.0ms (0.6%)

rewrite38.0ms (2.2%)

series287.0ms (16.9%)

simplify65.0ms (3.8%)

prune80.0ms (4.7%)

regimes49.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample470.0ms (27.7%)

Profiling