Details

analyze543.0ms (11.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1723	40
1	1723	40
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%	99.9%	0.1%	5
18.7%	81.1%	0.1%	6
40.6%	59.3%	0.1%	7
45.2%	54.6%	0.1%	8
65.5%	34.3%	0.1%	9
78%	21.8%	0.1%	10
80%	19.5%	0.5%	11
81.7%	17.7%	0.5%	12
87.9%	11.3%	0.8%	13
88.3%	10.1%	1.6%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample25.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify85.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	1003	10
1	1003	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))

rewrite49.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-sqr-sqrt_binary64_16127` `*-un-lft-identity_binary64_16105`
25×	`times-frac_binary64_16111`
13×	`add-cube-cbrt_binary64_16140`
12×	`difference-of-squares_binary64_16074` `distribute-lft-out--_binary64_16057`
5×	`associate-/l_binary64_16050` `associate-/r_binary64_16049`
3×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
2×	`flip3--_binary64_16109` `associate-/l/_binary64_16052` `flip--_binary64_16080` `associate-/r/_binary64_16051`
1×	`pow1_binary64_16166` `div-exp_binary64_16156` `add-log-exp_binary64_16144` `cbrt-undiv_binary64_16139` `frac-2neg_binary64_16116` `div-sub_binary64_16110` `clear-num_binary64_16104` `div-inv_binary64_16102`

Counts

1 → 52

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 844 to 193 computations (77.1% saved)

series226.0ms (4.8%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

207.0ms

(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 1077 to 710 computations (34.1% saved)

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	6070	1411

prune62.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	3	77

Error

Counts

77 → 3

Compiler

Compiled 1110 to 254 computations (77.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 z y))
0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
0.0b	(/.f64 y (-.f64 z y))

rewrite152.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

82×	`*-un-lft-identity_binary64_16105`
72×	`add-sqr-sqrt_binary64_16127`
63×	`times-frac_binary64_16111`
34×	`add-cube-cbrt_binary64_16140`
23×	`distribute-lft-out--_binary64_16057`
21×	`cancel-sign-sub-inv_binary64_16071`
17×	`difference-of-squares_binary64_16074`
10×	`associate-/r/_binary64_16051` `associate-/r*_binary64_16049`
7×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
6×	`flip3--_binary64_16109` `flip--_binary64_16080` `associate-/l*_binary64_16050`
5×	`add-log-exp_binary64_16144` `div-inv_binary64_16102`
3×	`pow1_binary64_16166` `distribute-rgt-out--_binary64_16059`
2×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `frac-2neg_binary64_16116` `clear-num_binary64_16104`
1×	`diff-log_binary64_16197` `frac-sub_binary64_16114` `sub-div_binary64_16112` `sub-neg_binary64_16098`

Counts

3 → 123

Calls

3 calls:

34.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
6.0ms	(/.f64 x (-.f64 z y))
5.0ms	(/.f64 y (-.f64 z y))

Compiler

Compiled 2446 to 509 computations (79.2% saved)

series579.0ms (12.4%)

Error

Counts

3 → 57

Calls

3 calls:

296.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
133.0ms	(/.f64 x (-.f64 z y))
103.0ms	(/.f64 y (-.f64 z y))

Compiler

Compiled 2394 to 1505 computations (37.1% saved)

simplify94.0ms (2%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5625	2735

prune132.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	180	3	183

Error

Counts

183 → 3

Compiler

Compiled 2916 to 575 computations (80.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 (+.f64 1 (/.f64 z y)) (/.f64 z y))
1.7b	(*.f64 (+.f64 1 (/.f64 z y)) (/.f64 x y))
5.1b	(-.f64 (.f64 (+.f64 1 (/.f64 z y)) (/.f64 z y)) (.f64 (+.f64 1 (/.f64 z y)) (/.f64 x y)))

rewrite308.0ms (6.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64_16127`
28×	`flip3-+_binary64_16108` `frac-times_binary64_16115` `flip-+_binary64_16079` `associate-*l/_binary64_16048`
26×	`associate-r_binary64_16045`
25×	`frac-sub_binary64_16114`
23×	`*-un-lft-identity_binary64_16105`
20×	`times-frac_binary64_16111`
19×	`add-cube-cbrt_binary64_16140`
14×	`associate-*r/_binary64_16047`
13×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
8×	`associate-l_binary64_16046`
7×	`pow1_binary64_16166`
5×	`add-log-exp_binary64_16144` `sub-div_binary64_16112`
4×	`prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `unswap-sqr_binary64_16073`
2×	`pow-prod-down_binary64_16176` `div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `distribute-lft-out_binary64_16056` `div-inv_binary64_16102` `*-commutative_binary64_16036`
1×	`diff-log_binary64_16197` `flip3--_binary64_16109` `sub-neg_binary64_16098` `flip--_binary64_16080` `cancel-sign-sub-inv_binary64_16071` `distribute-lft-out--_binary64_16057`

Counts

3 → 117

Calls

3 calls:

26.0ms	(*.f64 (+.f64 1 (/.f64 z y)) (/.f64 x y))
26.0ms	(*.f64 (+.f64 1 (/.f64 z y)) (/.f64 z y))
15.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 z y)) (/.f64 z y)) (.f64 (+.f64 1 (/.f64 z y)) (/.f64 x y)))

Compiler

Compiled 4654 to 2178 computations (53.2% saved)

series992.0ms (21.2%)

Error

Counts

3 → 48

Calls

3 calls:

536.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 z y)) (/.f64 z y)) (.f64 (+.f64 1 (/.f64 z y)) (/.f64 x y)))
212.0ms	(*.f64 (+.f64 1 (/.f64 z y)) (/.f64 x y))
180.0ms	(*.f64 (+.f64 1 (/.f64 z y)) (/.f64 z y))

Compiler

Compiled 2412 to 1599 computations (33.7% saved)

simplify114.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5132	4011

prune217.0ms (4.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	165	3	168

Error

Counts

168 → 3

Compiler

Compiled 4528 to 2037 computations (55% saved)

regimes163.0ms (3.5%)

Accuracy

Total 0.0b remaining (77.4%)

Threshold costs 0.0b (77.4%)

Compiler

Compiled 853 to 642 computations (24.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample853.0ms (18.2%)

Algorithm

1×

intervals

Results

245.0ms	8000×	body	128	valid
6.0ms	207×	body	128	invalid

Compiler

Compiled 220 to 165 computations (25% saved)

Details

analyze543.0ms (11.6%)

sample25.0ms (0.5%)

simplify85.0ms (1.8%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite49.0ms (1.1%)

series226.0ms (4.8%)

simplify69.0ms (1.5%)

prune62.0ms (1.3%)

localize6.0ms (0.1%)

rewrite152.0ms (3.2%)

series579.0ms (12.4%)

simplify94.0ms (2%)

prune132.0ms (2.8%)

localize9.0ms (0.2%)

rewrite308.0ms (6.6%)

series992.0ms (21.2%)

simplify114.0ms (2.4%)

prune217.0ms (4.6%)

regimes163.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample853.0ms (18.2%)

Profiling