Details

analyze369.0ms (11.7%)

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample22.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	32×	body	128	invalid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify258.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (164.0ms)

Iter	Nodes	Cost
0	4896	13
1	4896	13

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

0.0b

Counts

2 → 2

Compiler

Compiled 31 to 30 computations (3.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(*.f64 (/.f64 4 y) (-.f64 x z))
0.3b	(*.f64 (/.f64 4 y) (-.f64 x z))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_11012`
13×	`-un-lft-identity_binary64_10990` `associate-l*_binary64_10931`
11×	`add-cube-cbrt_binary64_11025`
10×	`times-frac_binary64_10996`
6×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `cancel-sign-sub-inv_binary64_10956`
5×	`associate-r_binary64_10930`
4×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
3×	`pow1_binary64_11051`
2×	`flip3--_binary64_10994` `prod-exp_binary64_11039` `frac-times_binary64_11000` `flip--_binary64_10965` `associate-*r/_binary64_10932` `unswap-sqr_binary64_10958` `sub-neg_binary64_10983` `cbrt-unprod_binary64_11023`
1×	`distribute-lft-out--_binary64_10942` `add-log-exp_binary64_11029` `div-exp_binary64_11041` `difference-of-squares_binary64_10959` `div-inv_binary64_10987` `-commutative_binary64_10921` `cbrt-undiv_binary64_11024` `associate-l/_binary64_10933` `pow-prod-down_binary64_11061`

Counts

1 → 46

Calls

2 calls:

11.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))
0.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))

series152.0ms (4.8%)

Counts

1 → 15

Calls

1 calls:

152.0ms

(*.f64 (/.f64 4 y) (-.f64 x z))

Compiler

Compiled 264 to 258 computations (2.3% saved)

simplify64.0ms (2%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4903	750
1	4903	750

prune49.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	61	2	63

Error

0.0b

Counts

63 → 2

Compiler

Compiled 819 to 497 computations (39.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
3×	`times-frac_binary64_10996` `add-cube-cbrt_binary64_11025` `associate-/r_binary64_10934` `-un-lft-identity_binary64_10990` `add-sqr-sqrt_binary64_11012`
2×	`associate-/l/_binary64_10937` `associate-*r/_binary64_10932` `div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
1×	`flip3--_binary64_10994` `prod-exp_binary64_11039` `flip--_binary64_10965` `pow1_binary64_11051` `add-log-exp_binary64_11029` `clear-num_binary64_10989` `associate-/l*_binary64_10935` `cbrt-unprod_binary64_11023` `frac-2neg_binary64_11001` `div-inv_binary64_10987`

Counts

1 → 23

Calls

2 calls:

8.0ms	(/.f64 (*.f64 4 (-.f64 x z)) y)
0.0ms	(/.f64 (*.f64 4 (-.f64 x z)) y)

series152.0ms (4.8%)

Counts

1 → 15

Calls

1 calls:

152.0ms

(/.f64 (*.f64 4 (-.f64 x z)) y)

Compiler

Compiled 264 to 258 computations (2.3% saved)

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4957	414
1	4957	414

prune31.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	38	2	40

Error

Counts

40 → 2

Compiler

Compiled 445 to 263 computations (40.9% saved)

localize11.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.4b	(.f64 (/.f64 4 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (-.f64 x z) (cbrt.f64 y)))
0.3b	(/.f64 4 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
0.2b	(/.f64 (-.f64 x z) (cbrt.f64 y))
0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_11021`
23×	`add-sqr-sqrt_binary64_11012`
15×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
11×	`pow1_binary64_11051`
9×	`pow1/3_binary64_11072`
6×	`associate-r_binary64_10930` `add-exp-log_binary64_11028` `associate-l_binary64_10931` `swap-sqr_binary64_10957`
4×	`add-log-exp_binary64_11029` `unswap-sqr_binary64_10958` `add-cbrt-cube_binary64_11026`
2×	`pow-sqr_binary64_10963` `pow-prod-up_binary64_11060` `pow-prod-down_binary64_11061`
1×	`prod-exp_binary64_11039` `pow-plus_binary64_11053` `pow2_binary64_11071` `cbrt-unprod_binary64_11023` `*-commutative_binary64_10921`

Counts

4 → 73

Calls

8 calls:

9.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
0.0ms	(/.f64 (-.f64 x z) (cbrt.f64 y))

series307.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
78.0ms	(cbrt.f64 y)
72.0ms	(cbrt.f64 y)
68.0ms	(cbrt.f64 y)

Compiler

Compiled 442 to 382 computations (13.6% saved)

simplify81.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune71.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Error

Counts

87 → 2

Compiler

Compiled 1573 to 654 computations (58.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	84	148
1	84	148

regimes131.0ms (4.2%)

Compiler: Compiled 649 to 699 computations (-7.7% saved)

bsearch0.0ms (0%)

regimes42.0ms (1.3%)

Compiler: Compiled 126 to 177 computations (-40.5% saved)

bsearch0.0ms (0%)

regimes99.0ms (3.1%)

Compiler: Compiled 99 to 150 computations (-51.5% saved)

bsearch72.0ms (2.3%)

Steps

Iters	Range		Point
10	2.263440421563572e-21	6.186092107825829e-10	2.6003811983724558e-15
8	-432237.87181405624	-276.90636135809893	-1955.0358215334759
6	-5.648549557554472e+53	-1.3017977283451292e+53	-1.8241153054947625e+53
6	-2.6572176112278763e+146	-4.3315146200584034e+145	-4.382156838142269e+145

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes94.0ms (3%)

Compiler: Compiled 78 to 126 computations (-61.5% saved)

bsearch73.0ms (2.3%)

Steps

Iters	Range		Point
10	2.263440421563572e-21	6.186092107825829e-10	4.3415448511141566e-10
8	-432237.87181405624	-276.90636135809893	-361902.6474953381
6	-5.648549557554472e+53	-1.3017977283451292e+53	-2.682279506997406e+53
6	-2.6572176112278763e+146	-4.3315146200584034e+145	-4.382156838142269e+145

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes33.0ms (1.1%)

Compiler: Compiled 57 to 102 computations (-78.9% saved)

bsearch0.0ms (0%)

regimes27.0ms (0.9%)

Accuracy

Total 0.1b remaining (95.4%)

Threshold costs 0.1b (95.4%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch6.0ms (0.2%)

Compiler: Compiled 128 to 106 computations (17.2% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	104	133
1	104	133

end0.0ms (0%)

sample865.0ms (27.4%)

Algorithm

1×

intervals

Results

320.0ms	8000×	body	128	valid
42.0ms	1000×	body	128	invalid

Compiler

Compiled 207 to 209 computations (-1% saved)

Pareto

0.36341486607119866

Details

analyze369.0ms (11.7%)

sample22.0ms (0.7%)

simplify258.0ms (8.2%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite15.0ms (0.5%)

series152.0ms (4.8%)

simplify64.0ms (2%)

prune49.0ms (1.6%)

localize7.0ms (0.2%)

rewrite10.0ms (0.3%)

series152.0ms (4.8%)

simplify75.0ms (2.4%)

prune31.0ms (1%)

localize11.0ms (0.3%)

rewrite19.0ms (0.6%)

series307.0ms (9.7%)

simplify81.0ms (2.6%)

prune71.0ms (2.3%)

simplify5.0ms (0.1%)

regimes131.0ms (4.2%)

bsearch0.0ms (0%)

regimes42.0ms (1.3%)

bsearch0.0ms (0%)

regimes99.0ms (3.1%)

bsearch72.0ms (2.3%)

regimes94.0ms (3%)

bsearch73.0ms (2.3%)

regimes33.0ms (1.1%)

bsearch0.0ms (0%)

regimes27.0ms (0.9%)

bsearch6.0ms (0.2%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample865.0ms (27.4%)

Profiling