Details

analyze367.0ms (9.1%)

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
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample20.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
2.0ms	34×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify145.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	738	15
1	738	15

prune4.0ms (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

0.1b

Counts

2 → 2

Compiler

Compiled 32 to 28 computations (12.5% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
0.0b	(/.f64 (+.f64 x 4) y)
3.1b	(*.f64 (/.f64 x y) z)

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_78`
25×	`add-sqr-sqrt_binary64_100`
22×	`times-frac_binary64_84`
20×	`add-cube-cbrt_binary64_113`
13×	`associate-l_binary64_19`
10×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
5×	`add-log-exp_binary64_117` `pow1_binary64_139`
4×	`associate-/l*_binary64_23` `distribute-lft-out_binary64_29`
3×	`associate-r_binary64_18` `associate-l/_binary64_21` `associate-/r_binary64_22`
2×	`cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `div-inv_binary64_75` `unswap-sqr_binary64_46` `associate-/l/_binary64_25`
1×	`*-commutative_binary64_9` `flip-+_binary64_52` `frac-sub_binary64_87` `flip3--_binary64_82` `diff-log_binary64_170` `frac-2neg_binary64_89` `flip--_binary64_53` `pow-prod-down_binary64_149` `clear-num_binary64_77` `cancel-sign-sub-inv_binary64_44` `sub-div_binary64_85` `sub-neg_binary64_71` `flip3-+_binary64_81`

Counts

3 → 79

Calls

3 calls:

10.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)
6.0ms	(/.f64 (+.f64 x 4) y)

series373.0ms (9.3%)

Counts

3 → 33

Calls

3 calls:

210.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
98.0ms	(*.f64 (/.f64 x y) z)
65.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 722 to 601 computations (16.8% saved)

simplify72.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5171	1334

prune98.0ms (2.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	109	5	114

Error

Counts

114 → 5

Compiler

Compiled 1841 to 890 computations (51.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (+.f64 x 4) (/.f64 1 y)) (.f64 (/.f64 x y) z))
0.1b	(*.f64 (+.f64 x 4) (/.f64 1 y))
3.1b	(*.f64 (/.f64 x y) z)

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_100`
22×	`*-un-lft-identity_binary64_78`
21×	`times-frac_binary64_84`
19×	`add-cube-cbrt_binary64_113`
17×	`associate-l_binary64_19` `add-exp-log_binary64_116`
16×	`associate-r_binary64_18`
13×	`add-cbrt-cube_binary64_114` `associate-*l/_binary64_21`
7×	`pow1_binary64_139`
6×	`prod-exp_binary64_127` `frac-sub_binary64_87`
5×	`add-log-exp_binary64_117` `unswap-sqr_binary64_46`
4×	`cbrt-unprod_binary64_111` `flip-+_binary64_52` `frac-times_binary64_88` `flip3-+_binary64_81`
3×	`div-exp_binary64_129` `un-div-inv_binary64_76` `associate-*r/_binary64_20`
2×	`*-commutative_binary64_9` `cbrt-undiv_binary64_112` `div-inv_binary64_75` `pow-prod-down_binary64_149` `sub-div_binary64_85`
1×	`flip3--_binary64_82` `diff-log_binary64_170` `1-exp_binary64_122` `flip--_binary64_53` `rec-exp_binary64_128` `cancel-sign-sub-inv_binary64_44` `distribute-lft-out_binary64_29` `sub-neg_binary64_71`

Counts

3 → 93

Calls

3 calls:

11.0ms	(-.f64 (.f64 (+.f64 x 4) (/.f64 1 y)) (.f64 (/.f64 x y) z))
11.0ms	(*.f64 (+.f64 x 4) (/.f64 1 y))
7.0ms	(*.f64 (/.f64 x y) z)

series390.0ms (9.7%)

Counts

3 → 33

Calls

3 calls:

230.0ms	(-.f64 (.f64 (+.f64 x 4) (/.f64 1 y)) (.f64 (/.f64 x y) z))
93.0ms	(*.f64 (/.f64 x y) z)
67.0ms	(*.f64 (+.f64 x 4) (/.f64 1 y))

Compiler

Compiled 758 to 637 computations (16% saved)

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4952	1551
1	4952	1551

prune105.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	126	5	131

Error

Counts

131 → 5

Compiler

Compiled 2203 to 1150 computations (47.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
0.0b	(/.f64 (+.f64 x 4) y)
5.7b	(*.f64 x (/.f64 z y))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_78`
25×	`add-sqr-sqrt_binary64_100`
22×	`times-frac_binary64_84`
20×	`add-cube-cbrt_binary64_113`
13×	`associate-r_binary64_18`
10×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
5×	`add-log-exp_binary64_117` `pow1_binary64_139`
4×	`associate-/l*_binary64_23` `distribute-lft-out_binary64_29`
3×	`associate-l_binary64_19` `associate-/r_binary64_22` `associate-r/_binary64_20`
2×	`cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `div-inv_binary64_75` `unswap-sqr_binary64_46` `associate-/l/_binary64_25`
1×	`*-commutative_binary64_9` `flip-+_binary64_52` `frac-sub_binary64_87` `flip3--_binary64_82` `diff-log_binary64_170` `frac-2neg_binary64_89` `flip--_binary64_53` `pow-prod-down_binary64_149` `clear-num_binary64_77` `cancel-sign-sub-inv_binary64_44` `sub-div_binary64_85` `sub-neg_binary64_71` `flip3-+_binary64_81`

Counts

3 → 79

Calls

3 calls:

9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
7.0ms	(*.f64 x (/.f64 z y))
6.0ms	(/.f64 (+.f64 x 4) y)

series397.0ms (9.9%)

Counts

3 → 33

Calls

3 calls:

229.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
102.0ms	(*.f64 x (/.f64 z y))
65.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 722 to 609 computations (15.7% saved)

simplify71.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5547	1346

prune88.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	112	5	117

Error

Counts

117 → 5

Compiler

Compiled 1801 to 851 computations (52.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 x 4) (*.f64 x z))
3.6b	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`times-frac_binary64_84`
7×	`add-log-exp_binary64_117`
4×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
3×	`associate-/l_binary64_23` `associate-/r_binary64_22`
2×	`flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `associate-/l/_binary64_25` `pow1_binary64_139`
1×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `frac-2neg_binary64_89` `associate--l+_binary64_15` `div-inv_binary64_75` `clear-num_binary64_77` `cancel-sign-sub-inv_binary64_44` `div-sub_binary64_83` `sub-neg_binary64_71` `sum-log_binary64_169`

Counts

2 → 44

Calls

2 calls:

8.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
6.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))

series223.0ms (5.5%)

Counts

2 → 27

Calls

2 calls:

164.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
58.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))

Compiler

Compiled 464 to 416 computations (10.3% saved)

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4960	1108
1	4960	1108

prune54.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	71	5	76

Error

Counts

76 → 5

Compiler

Compiled 1022 to 536 computations (47.6% saved)

regimes292.0ms (7.3%)

Accuracy

Total 0.2b remaining (96.6%)

Threshold costs 0.2b (96.6%)

Compiler

Compiled 1752 to 1456 computations (16.9% saved)

bsearch45.0ms (1.1%)

Steps

Iters	Range		Point
9	1.6947448855465534e+49	9.629989942743732e+55	5.59511929295642e+52
10	-8.287536229837336e+34	-1.6083738798647195e+23	-5.511667067808331e+24

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	47
1	73	47

end0.0ms (0%)

sample1.0s (24.9%)

Algorithm

1×

intervals

Results

330.0ms	8000×	body	128	valid
45.0ms	1144×	body	128	invalid

Compiler

Compiled 384 to 317 computations (17.4% saved)

Details

analyze367.0ms (9.1%)

sample20.0ms (0.5%)

simplify145.0ms (3.6%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite28.0ms (0.7%)

series373.0ms (9.3%)

simplify72.0ms (1.8%)

prune98.0ms (2.4%)

localize9.0ms (0.2%)

rewrite37.0ms (0.9%)

series390.0ms (9.7%)

simplify65.0ms (1.6%)

prune105.0ms (2.6%)

localize8.0ms (0.2%)

rewrite28.0ms (0.7%)

series397.0ms (9.9%)

simplify71.0ms (1.8%)

prune88.0ms (2.2%)

localize7.0ms (0.2%)

rewrite17.0ms (0.4%)

series223.0ms (5.5%)

simplify63.0ms (1.6%)

prune54.0ms (1.4%)

regimes292.0ms (7.3%)

bsearch45.0ms (1.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (24.9%)

Profiling