Details

analyze1.2s (13.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5069	64
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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample71.0ms (0.8%)

Algorithm

1×

intervals

Results

18.0ms	200×	body	128	valid
15.0ms	28×	body	1024	valid
4.0ms	12×	body	512	valid
4.0ms	8×	body	1024	invalid
3.0ms	16×	body	256	valid
2.0ms	7×	body	512	invalid
2.0ms	31×	body	128	nan
1.0ms	16×	body	128	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify94.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4944	16
1	4944	16

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

6.2b

Counts

2 → 1

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 y z))
0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
6.3b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite161.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

37×	`*-un-lft-identity_binary64_10649`
24×	`times-frac_binary64_10655`
21×	`add-cube-cbrt_binary64_10684` `add-sqr-sqrt_binary64_10671`
18×	`unpow-prod-down_binary64_10728`
8×	`distribute-lft-out_binary64_10600` `add-exp-log_binary64_10687`
5×	`add-log-exp_binary64_10688` `add-cbrt-cube_binary64_10685`
4×	`associate-/r/_binary64_10595` `pow1_binary64_10710` `associate-/r*_binary64_10593`
3×	`flip3-+_binary64_10652` `flip-+_binary64_10623` `pow-unpow_binary64_10726` `associate-/l*_binary64_10594`
2×	`div-inv_binary64_10646` `div-exp_binary64_10700` `pow-exp_binary64_10717`
1×	`pow-pow_binary64_10721` `pow-to-exp_binary64_10718` `sqr-pow_binary64_10621` `sum-log_binary64_10740` `+-commutative_binary64_10579` `cbrt-undiv_binary64_10683` `frac-2neg_binary64_10660` `clear-num_binary64_10648`

Counts

3 → 78

Calls

3 calls:

42.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
9.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
5.0ms	(/.f64 y (+.f64 y z))

Compiler

Compiled 1530 to 431 computations (71.8% saved)

series458.0ms (5.1%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

270.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
89.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
65.0ms	(/.f64 y (+.f64 y z))

Compiler

Compiled 1533 to 1099 computations (28.3% saved)

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4956	1860
1	4956	1860

prune114.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	4	121

Error

0.0b

Counts

121 → 4

Compiler

Compiled 1961 to 559 computations (71.5% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 1 y))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

4×	`*-un-lft-identity_binary64_10649`
3×	`add-log-exp_binary64_10688`
2×	`distribute-lft-out_binary64_10600`
1×	`sum-log_binary64_10740` `pow1_binary64_10710` `add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685` `add-cube-cbrt_binary64_10684` `add-sqr-sqrt_binary64_10671` `flip3-+_binary64_10652` `flip-+_binary64_10623` `div-inv_binary64_10646` `+-commutative_binary64_10579`

Counts

1 → 13

Calls

1 calls:

8.0ms

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

Compiler

Compiled 150 to 106 computations (29.3% saved)

series54.0ms (0.6%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

50.0ms

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

Compiler

Compiled 110 to 119 computations (-8.2% saved)

simplify115.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4881	201
1	4881	201

prune20.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Error

0.0b

Counts

29 → 4

Compiler

Compiled 232 to 147 computations (36.6% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (exp.f64 (neg.f64 z)) y)
0.0b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))

rewrite51.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`*-un-lft-identity_binary64_10649`
10×	`add-cube-cbrt_binary64_10684` `add-sqr-sqrt_binary64_10671`
9×	`times-frac_binary64_10655`
4×	`add-log-exp_binary64_10688` `add-cbrt-cube_binary64_10685`
3×	`add-exp-log_binary64_10687` `associate-/l_binary64_10594` `associate-/r_binary64_10593`
2×	`pow1_binary64_10710` `associate-/l/_binary64_10596`
1×	`sum-log_binary64_10740` `flip3-+_binary64_10652` `flip-+_binary64_10623` `distribute-lft-out_binary64_10600` `+-commutative_binary64_10579` `div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `frac-2neg_binary64_10660` `clear-num_binary64_10648` `div-inv_binary64_10646` `neg-sub0_binary64_10644` `exp-diff_binary64_10697` `exp-neg_binary64_10696`

Counts

2 → 41

Calls

2 calls:

12.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
8.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

Compiler

Compiled 585 to 161 computations (72.5% saved)

series480.0ms (5.3%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

392.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
75.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

Compiler

Compiled 531 to 390 computations (26.6% saved)

simplify114.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4892	902
1	4892	902

prune62.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	67	5	72

Error

Counts

72 → 5

Compiler

Compiled 811 to 238 computations (70.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.0b	(-.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 2 y)) (*.f64 y y)))
6.3b	(pow.f64 (/.f64 y (+.f64 z y)) y)
6.3b	(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 2 y))
29.1b	(/.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 2 y)) (*.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))

rewrite513.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

231×	`add-sqr-sqrt_binary64_10671`
230×	`times-frac_binary64_10655`
100×	`difference-of-squares_binary64_10618`
94×	`unpow-prod-down_binary64_10728`
86×	`*-un-lft-identity_binary64_10649`
50×	`add-cube-cbrt_binary64_10684`
26×	`cancel-sign-sub-inv_binary64_10615`
23×	`sqr-pow_binary64_10621`
12×	`add-exp-log_binary64_10687`
9×	`distribute-lft-out--_binary64_10601` `associate-/r*_binary64_10593` `distribute-lft-out_binary64_10600`
8×	`associate-/r/_binary64_10595` `associate-/l*_binary64_10594`
6×	`pow1_binary64_10710` `add-log-exp_binary64_10688` `add-cbrt-cube_binary64_10685`
5×	`div-inv_binary64_10646`
4×	`pow-unpow_binary64_10726` `pow-exp_binary64_10717`
3×	`div-exp_binary64_10700` `flip3--_binary64_10653` `flip--_binary64_10624` `flip3-+_binary64_10652` `flip-+_binary64_10623`
2×	`associate-/l/_binary64_10596` `pow-pow_binary64_10721` `pow-to-exp_binary64_10718`
1×	`cbrt-undiv_binary64_10683` `frac-2neg_binary64_10660` `div-sub_binary64_10654` `clear-num_binary64_10648` `diff-log_binary64_10741` `sub-neg_binary64_10642`

Counts

4 → 212

Calls

4 calls:

52.0ms	(/.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 2 y)) (*.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))
29.0ms	(-.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 2 y)) (*.f64 y y)))
7.0ms	(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 2 y))
7.0ms	(pow.f64 (/.f64 y (+.f64 z y)) y)

Compiler

Compiled 10326 to 2905 computations (71.9% saved)

series1.5s (17%)

Error

Counts

4 → 52

Calls

4 calls:

757.0ms	(/.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 2 y)) (*.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))
490.0ms	(-.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 2 y)) (*.f64 y y)))
106.0ms	(pow.f64 (/.f64 y (+.f64 z y)) y)
100.0ms	(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 2 y))

Compiler

Compiled 5595 to 3674 computations (34.3% saved)

simplify241.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4979	12671
1	4979	12671

prune451.0ms (5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	264	5	269

Error

Counts

269 → 5

Compiler

Compiled 11574 to 3157 computations (72.7% saved)

regimes505.0ms (5.6%)

Accuracy

Total 0.9b remaining (97.7%)

Threshold costs 0.9b (97.7%)

Compiler

Compiled 3830 to 2457 computations (35.8% saved)

bsearch27.0ms (0.3%)

Steps

Iters	Range		Point
8	7.837268133509612e-19	1.656886638184341e-14	1.61703301965114e-14

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	24
1	24	24

end0.0ms (0%)

sample2.6s (28.2%)

Algorithm

1×

intervals

Results

440.0ms	6164×	body	128	valid
401.0ms	946×	body	1024	valid
154.0ms	562×	body	512	valid
80.0ms	210×	body	1024	invalid
68.0ms	255×	body	512	invalid
57.0ms	1037×	body	128	nan
52.0ms	324×	body	256	valid
32.0ms	421×	body	128	invalid
25.0ms	157×	body	256	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 807 to 521 computations (35.4% saved)

Details

analyze1.2s (13.8%)

sample71.0ms (0.8%)

simplify94.0ms (1%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite161.0ms (1.8%)

series458.0ms (5.1%)

simplify105.0ms (1.2%)

prune114.0ms (1.3%)

localize4.0ms (0%)

rewrite20.0ms (0.2%)

series54.0ms (0.6%)

simplify115.0ms (1.3%)

prune20.0ms (0.2%)

localize11.0ms (0.1%)

rewrite51.0ms (0.6%)

series480.0ms (5.3%)

simplify114.0ms (1.3%)

prune62.0ms (0.7%)

localize16.0ms (0.2%)

rewrite513.0ms (5.7%)

series1.5s (17%)

simplify241.0ms (2.7%)

prune451.0ms (5%)

regimes505.0ms (5.6%)

bsearch27.0ms (0.3%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.6s (28.2%)

Profiling