Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	75×	body	512	valid
4.0ms	146×	body	128	valid
1.0ms	29×	body	256	valid
1.0ms	6×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify165.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13

prune6.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 16.7b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

3.7b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite25.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64_77`
29×	`add-sqr-sqrt_binary64_98`
24×	`times-frac_binary64_83`
10×	`distribute-lft-out--_binary64_31`
9×	`difference-of-squares_binary64_46`
5×	`add-cube-cbrt_binary64_109`
4×	`div-inv_binary64_74`
3×	`add-log-exp_binary64_113` `distribute-lft-out_binary64_30`
1×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `sub-neg_binary64_70` `pow1_binary64_135` `flip--_binary64_52` `frac-sub_binary64_86` `flip3--_binary64_81` `diff-log_binary64_166`

Counts

1 → 31

Calls

1 calls:

22.0ms

(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series28.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

28.0ms

(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

simplify56.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4961	730
1	4961	730

prune40.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	3	35

Merged error: 0.1b

Counts

35 → 3

Compiler

Compiled 628 to 503 computations (19.9% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.1b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
8×	`*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
6×	`add-cube-cbrt_binary64_109`
4×	`pow1_binary64_135` `associate-r/_binary64_21` `associate-r*_binary64_19`
3×	`associate-l_binary64_20` `times-frac_binary64_83` `associate-/l*_binary64_24`
2×	`add-log-exp_binary64_113` `flip-+_binary64_51` `cbrt-unprod_binary64_107` `cbrt-undiv_binary64_108` `flip3-+_binary64_80` `div-exp_binary64_125` `associate-/r/_binary64_25` `prod-exp_binary64_123`
1×	`associate-/r_binary64_23` `pow-prod-down_binary64_145` `distribute-lft-in_binary64_28` `unswap-sqr_binary64_45` `-commutative_binary64_10` `clear-num_binary64_76` `distribute-rgt-in_binary64_29` `frac-2neg_binary64_88` `distribute-lft-out_binary64_30` `div-inv_binary64_74`

Counts

2 → 46

Calls

2 calls:

7.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))
7.0ms	(*.f64 x (+.f64 1 x))

series80.0ms (3.7%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(*.f64 x (+.f64 1 x))
24.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify66.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4952	553
1	4952	553

prune47.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	49	6	55

Merged error: 0b

Counts

55 → 6

Compiler

Compiled 632 to 469 computations (25.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`times-frac_binary64_83`
78×	`*-un-lft-identity_binary64_77`
50×	`add-cube-cbrt_binary64_109` `add-sqr-sqrt_binary64_98`
14×	`distribute-lft-out_binary64_30`
13×	`associate-/l*_binary64_24`
6×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `div-inv_binary64_74`
4×	`associate-/r*_binary64_23`
3×	`cbrt-undiv_binary64_108` `div-exp_binary64_125`
2×	`associate-/r/_binary64_25`
1×	`add-log-exp_binary64_113` `flip-+_binary64_51` `flip3-+_binary64_80` `pow1_binary64_135` `clear-num_binary64_76` `associate-/l/_binary64_26` `frac-2neg_binary64_88`

Counts

1 → 86

Calls

1 calls:

9.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

series26.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

26.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

simplify74.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4939	1864
1	4939	1864

prune86.0ms (4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	89	6	95

Merged error: 0b

Counts

95 → 6

Compiler

Compiled 1475 to 1065 computations (27.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_105`
23×	`add-sqr-sqrt_binary64_98`
15×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
11×	`pow1_binary64_135`
9×	`pow1/3_binary64_156`
6×	`add-exp-log_binary64_112` `associate-l_binary64_20` `swap-sqr_binary64_44` `associate-r_binary64_19`
4×	`add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `unswap-sqr_binary64_45`
2×	`pow-prod-down_binary64_145` `pow-sqr_binary64_50` `pow-prod-up_binary64_144`
1×	`pow2_binary64_155` `cbrt-unprod_binary64_107` `pow-plus_binary64_137` `prod-exp_binary64_123` `*-commutative_binary64_10`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series629.0ms (29.2%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
154.0ms	(cbrt.f64 x)
151.0ms	(cbrt.f64 x)
145.0ms	(cbrt.f64 x)

simplify70.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune68.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0b

Counts

91 → 6

Compiler

Compiled 1414 to 740 computations (47.7% saved)

regimes13.0ms (0.6%)

Compiler: Compiled 71 to 55 computations (22.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample579.0ms (26.9%)

Algorithm

1×

intervals

Results

147.0ms	1951×	body	512	valid
128.0ms	4593×	body	128	valid
51.0ms	1028×	body	256	valid
41.0ms	428×	body	1024	valid

Compiler

Compiled 86 to 69 computations (19.8% saved)

Details

analyze5.0ms (0.2%)

sample16.0ms (0.8%)

simplify165.0ms (7.7%)

prune6.0ms (0.3%)

localize5.0ms (0.3%)

rewrite25.0ms (1.2%)

series28.0ms (1.3%)

simplify56.0ms (2.6%)

prune40.0ms (1.8%)

localize4.0ms (0.2%)

rewrite17.0ms (0.8%)

series80.0ms (3.7%)

simplify66.0ms (3.1%)

prune47.0ms (2.2%)

localize4.0ms (0.2%)

rewrite18.0ms (0.8%)

series26.0ms (1.2%)

simplify74.0ms (3.4%)

prune86.0ms (4%)

localize8.0ms (0.4%)

rewrite15.0ms (0.7%)

series629.0ms (29.2%)

simplify70.0ms (3.2%)

prune68.0ms (3.2%)

regimes13.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample579.0ms (26.9%)

Profiling