Details

analyze170.0ms (4.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	20
1	19	20
0	2	2
1	2	2

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
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	10
1	12	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

Error

3.6b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

10.0b

(/.f64 x (*.f64 y y))

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
3×	`add-cube-cbrt_binary64_10684` `add-sqr-sqrt_binary64_10671` `times-frac_binary64_10655` `-un-lft-identity_binary64_10649` `associate-/l_binary64_10594`
2×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683`
1×	`pow1_binary64_10710` `prod-exp_binary64_10698` `add-log-exp_binary64_10688` `cbrt-unprod_binary64_10682` `frac-2neg_binary64_10660` `clear-num_binary64_10648` `div-inv_binary64_10646` `associate-/r*_binary64_10593`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/.f64 x (*.f64 y y))

Compiler

Compiled 256 to 108 computations (57.8% saved)

series73.0ms (2.1%)

Error

3.6b

Counts

1 → 6

Calls

1 calls:

70.0ms

(/.f64 x (*.f64 y y))

Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify75.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	6109	244

prune26.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

0.0b

Counts

28 → 3

Compiler

Compiled 281 to 122 computations (56.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (/.f64 x y) y)

rewrite68.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`times-frac_binary64_10655`
43×	`add-cube-cbrt_binary64_10684` `add-sqr-sqrt_binary64_10671` `*-un-lft-identity_binary64_10649`
13×	`associate-/l*_binary64_10594`
6×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
5×	`div-inv_binary64_10646`
3×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `associate-/r*_binary64_10593`
1×	`pow1_binary64_10710` `add-log-exp_binary64_10688` `frac-2neg_binary64_10660` `clear-num_binary64_10648` `associate-/l/_binary64_10596`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/.f64 (/.f64 x y) y)

Compiler

Compiled 1151 to 418 computations (63.7% saved)

series71.0ms (2%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

68.0ms

(/.f64 (/.f64 x y) y)

Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify93.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4763	1090
1	4763	1090

prune55.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	75	4	79

Error

0.0b

Counts

79 → 4

Compiler

Compiled 1061 to 442 computations (58.3% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(pow.f64 (cbrt.f64 y) 2)
1.1b	(/.f64 1 (*.f64 y (cbrt.f64 y)))
2.1b	(.f64 (/.f64 1 (.f64 y (cbrt.f64 y))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))

rewrite210.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

106×	`add-exp-log_binary64_10687`
48×	`add-sqr-sqrt_binary64_10671`
44×	`times-frac_binary64_10655`
43×	`prod-exp_binary64_10698`
41×	`div-exp_binary64_10700`
37×	`associate-r_binary64_10589`
33×	`add-cube-cbrt_binary64_10684` `*-un-lft-identity_binary64_10649`
27×	`add-cbrt-cube_binary64_10685`
26×	`unpow-prod-down_binary64_10728`
16×	`cbrt-prod_binary64_10680`
11×	`pow1_binary64_10710`
10×	`1-exp_binary64_10693` `rec-exp_binary64_10699`
9×	`cbrt-unprod_binary64_10682` `cbrt-undiv_binary64_10683`
8×	`pow-to-exp_binary64_10718` `pow-exp_binary64_10717`
7×	`associate-l_binary64_10590`
6×	`unswap-sqr_binary64_10617`
5×	`unpow2_binary64_10714` `sqr-pow_binary64_10621`
4×	`add-log-exp_binary64_10688`
3×	`div-inv_binary64_10646` `pow-flip_binary64_10723` `pow1/3_binary64_10731` `associate-/l*_binary64_10594` `pow-unpow_binary64_10726`
2×	`pow-prod-down_binary64_10720` `pow-pow_binary64_10721`
1×	`frac-times_binary64_10659` `associate-l/_binary64_10592` `associate-r/_binary64_10591` `-commutative_binary64_10580` `inv-pow_binary64_10734` `pow-prod-up_binary64_10719` `frac-2neg_binary64_10660` `clear-num_binary64_10648` `associate-/r_binary64_10593`

Counts

4 → 158

Calls

4 calls:

20.0ms	(.f64 (/.f64 1 (.f64 y (cbrt.f64 y))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))
5.0ms	(/.f64 1 (*.f64 y (cbrt.f64 y)))
3.0ms	(pow.f64 (cbrt.f64 y) 2)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 3571 to 1916 computations (46.3% saved)

series374.0ms (10.7%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

101.0ms	(.f64 (/.f64 1 (.f64 y (cbrt.f64 y))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))
100.0ms	(/.f64 1 (*.f64 y (cbrt.f64 y)))
91.0ms	(pow.f64 (cbrt.f64 y) 2)
70.0ms	(cbrt.f64 y)

Compiler

Compiled 630 to 544 computations (13.7% saved)

simplify93.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4944	1808
1	4944	1808

prune146.0ms (4.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	172	5	177

Error

Counts

177 → 5

Compiler

Compiled 2751 to 1548 computations (43.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
1.1b	(/.f64 1 (*.f64 y (cbrt.f64 y)))
2.1b	(.f64 (/.f64 1 (.f64 y (cbrt.f64 y))) (/.f64 x (cbrt.f64 (*.f64 y y))))
26.0b	(cbrt.f64 (*.f64 y y))

rewrite120.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`add-exp-log_binary64_10687`
24×	`add-cbrt-cube_binary64_10685` `add-sqr-sqrt_binary64_10671`
23×	`prod-exp_binary64_10698`
20×	`times-frac_binary64_10655`
19×	`div-exp_binary64_10700`
17×	`add-cube-cbrt_binary64_10684` `*-un-lft-identity_binary64_10649`
16×	`associate-r_binary64_10589`
10×	`pow1_binary64_10710`
9×	`cbrt-unprod_binary64_10682` `cbrt-undiv_binary64_10683`
8×	`cbrt-prod_binary64_10680`
7×	`associate-l_binary64_10590`
6×	`1-exp_binary64_10693` `rec-exp_binary64_10699`
4×	`add-log-exp_binary64_10688`
3×	`pow1/3_binary64_10731` `unswap-sqr_binary64_10617` `div-inv_binary64_10646` `pow-flip_binary64_10723` `associate-/l*_binary64_10594`
2×	`pow-prod-down_binary64_10720`
1×	`frac-times_binary64_10659` `associate-l/_binary64_10592` `associate-r/_binary64_10591` `-commutative_binary64_10580` `inv-pow_binary64_10734` `pow-prod-up_binary64_10719` `frac-2neg_binary64_10660` `clear-num_binary64_10648` `associate-/r_binary64_10593`

Counts

4 → 107

Calls

4 calls:

13.0ms	(.f64 (/.f64 1 (.f64 y (cbrt.f64 y))) (/.f64 x (cbrt.f64 (*.f64 y y))))
5.0ms	(/.f64 1 (*.f64 y (cbrt.f64 y)))
3.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 (*.f64 y y))

Compiler

Compiled 2327 to 896 computations (61.5% saved)

series345.0ms (9.9%)

Error

Counts

4 → 15

Calls

4 calls:

107.0ms	(/.f64 1 (*.f64 y (cbrt.f64 y)))
82.0ms	(.f64 (/.f64 1 (.f64 y (cbrt.f64 y))) (/.f64 x (cbrt.f64 (*.f64 y y))))
77.0ms	(cbrt.f64 (*.f64 y y))
68.0ms	(cbrt.f64 y)

Compiler

Compiled 609 to 499 computations (18.1% saved)

simplify91.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5016	1146

prune90.0ms (2.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	122	5	127

Error

Counts

127 → 5

Compiler

Compiled 1855 to 897 computations (51.6% saved)

regimes245.0ms (7%)

Accuracy

Total 0.1b remaining (94.6%)

Threshold costs 0.1b (94.6%)

Compiler

Compiled 2482 to 1626 computations (34.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample1.1s (30.5%)

Algorithm

1×

intervals

Results

191.0ms	8000×	body	128	valid
9.0ms	394×	body	128	invalid

Compiler

Compiled 468 to 313 computations (33.1% saved)

Details

analyze170.0ms (4.8%)

sample18.0ms (0.5%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite28.0ms (0.8%)

series73.0ms (2.1%)

simplify75.0ms (2.1%)

prune26.0ms (0.7%)

localize4.0ms (0.1%)

rewrite68.0ms (1.9%)

series71.0ms (2%)

simplify93.0ms (2.7%)

prune55.0ms (1.6%)

localize13.0ms (0.4%)

rewrite210.0ms (6%)

series374.0ms (10.7%)

simplify93.0ms (2.7%)

prune146.0ms (4.2%)

localize11.0ms (0.3%)

rewrite120.0ms (3.4%)

series345.0ms (9.9%)

simplify91.0ms (2.6%)

prune90.0ms (2.6%)

regimes245.0ms (7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (30.5%)

Profiling