Details

analyze65.0ms (4.2%)

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
25%	74.9%	0.1%	5
25%	56.2%	18.8%	6
25%	40.6%	34.4%	7
31.2%	31.2%	37.6%	8
39%	21.1%	39.9%	9
42.9%	16%	41.1%	10
47.2%	10.7%	42%	11
49.4%	8.1%	42.5%	12
51.6%	5.4%	43%	13
52.7%	4.1%	43.2%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample11.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify99.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	70	10
1	70	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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))

rewrite16.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_17128`
8×	`pow1_binary64_17189`
7×	`add-sqr-sqrt_binary64_17150`
6×	`flip-+_binary64_17102` `distribute-lft-out_binary64_17079` `swap-sqr_binary64_17095` `flip3-+_binary64_17131`
5×	`add-cube-cbrt_binary64_17163`
4×	`associate-r_binary64_17068` `frac-times_binary64_17138` `associate-l_binary64_17069`
3×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
2×	`associate-r/_binary64_17070` `associate-l/_binary64_17071`
1×	`distribute-rgt-in_binary64_17078` `cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `add-log-exp_binary64_17167` `unswap-sqr_binary64_17096` `pow-sqr_binary64_17101` `*-commutative_binary64_17059` `pow2_binary64_17209` `pow-prod-down_binary64_17199` `pow-plus_binary64_17191` `distribute-lft-in_binary64_17077` `pow-prod-up_binary64_17198`

Counts

1 → 40

Calls

1 calls:

10.0ms

(*.f64 (+.f64 x y) (+.f64 x y))

series14.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

14.0ms

(*.f64 (+.f64 x y) (+.f64 x y))

simplify61.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4976	523
1	4976	523

prune28.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Error

0.0b

Counts

44 → 3

Compiler

Compiled 516 to 180 computations (65.1% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (+.f64 x y))
0.0b	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
0.0b	(*.f64 x (+.f64 x y))

rewrite27.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-*r/_binary64_17070`
11×	`add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
8×	`associate-r_binary64_17068`
7×	`add-cube-cbrt_binary64_17163` `flip-+_binary64_17102` `add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166` `pow1_binary64_17189` `flip3-+_binary64_17131`
6×	`associate-l_binary64_17069`
5×	`add-log-exp_binary64_17167`
4×	`distribute-rgt-in_binary64_17078` `frac-add_binary64_17136` `distribute-lft-in_binary64_17077`
2×	`associate-+r+_binary64_17060` `cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `distribute-lft-out_binary64_17079` `unswap-sqr_binary64_17096` `*-commutative_binary64_17059` `associate-+l+_binary64_17061` `pow-prod-down_binary64_17199`
1×	`+-commutative_binary64_17058` `sum-log_binary64_17219` `distribute-rgt-out_binary64_17081`

Counts

3 → 66

Calls

3 calls:

8.0ms	(*.f64 y (+.f64 x y))
8.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
6.0ms	(*.f64 x (+.f64 x y))

series58.0ms (3.7%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
19.0ms	(*.f64 y (+.f64 x y))
19.0ms	(*.f64 x (+.f64 x y))

simplify86.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4749	909
1	4749	909

prune49.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	75	3	78

Error

Counts

78 → 3

Compiler

Compiled 1180 to 267 computations (77.4% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y (+.f64 x (+.f64 x y))))
0.0b	(*.f64 y (+.f64 x (+.f64 x y)))
0.0b	(+.f64 x (+.f64 x y))

rewrite22.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_17128`
10×	`add-log-exp_binary64_17167`
7×	`add-sqr-sqrt_binary64_17150`
6×	`distribute-lft-out_binary64_17079`
5×	`add-cube-cbrt_binary64_17163` `associate-r_binary64_17068` `add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166` `pow1_binary64_17189`
4×	`sum-log_binary64_17219`
3×	`associate-+r+_binary64_17060` `flip-+_binary64_17102` `associate-l_binary64_17069` `flip3-+_binary64_17131`
2×	`associate-*r/_binary64_17070` `distribute-rgt-in_binary64_17078` `+-commutative_binary64_17058` `distribute-lft-in_binary64_17077`
1×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `unswap-sqr_binary64_17096` `*-commutative_binary64_17059` `pow-prod-down_binary64_17199`

Counts

3 → 52

Calls

3 calls:

8.0ms	(*.f64 y (+.f64 x (+.f64 x y)))
6.0ms	(+.f64 x (+.f64 x y))
4.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 x (+.f64 x y))))

series67.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 x (+.f64 x y))))
24.0ms	(*.f64 y (+.f64 x (+.f64 x y)))
19.0ms	(+.f64 x (+.f64 x y))

simplify52.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5037	730

prune33.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Error

Counts

64 → 3

Compiler

Compiled 917 to 186 computations (79.7% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.2b	(pow.f64 (*.f64 (+.f64 x y) (+.f64 x y)) 3)
33.9b	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 x y)) 3))

rewrite31.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_17128`
18×	`flip-+_binary64_17102` `pow1_binary64_17189` `flip3-+_binary64_17131`
16×	`cube-div_binary64_17157`
12×	`frac-times_binary64_17138`
11×	`add-sqr-sqrt_binary64_17150`
9×	`add-cube-cbrt_binary64_17163`
8×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166` `cbrt-prod_binary64_17159` `cbrt-div_binary64_17160`
6×	`associate-r/_binary64_17070` `associate-l/_binary64_17071` `distribute-lft-out_binary64_17079` `pow-pow_binary64_17200` `swap-sqr_binary64_17095`
4×	`associate-r_binary64_17068` `associate-l_binary64_17069`
3×	`pow-unpow_binary64_17205` `add-log-exp_binary64_17167`
2×	`sqr-pow_binary64_17100` `cbrt-unprod_binary64_17161` `unpow-prod-down_binary64_17207` `cube-prod_binary64_17156` `prod-exp_binary64_17177` `pow-sqr_binary64_17101` `unpow3_binary64_17194` `cube-mult_binary64_17158` `pow-exp_binary64_17196` `pow2_binary64_17209` `pow-prod-down_binary64_17199` `pow-plus_binary64_17191` `pow-prod-up_binary64_17198` `rem-cube-cbrt_binary64_17151`
1×	`pow1/3_binary64_17210` `distribute-rgt-in_binary64_17078` `unswap-sqr_binary64_17096` `*-commutative_binary64_17059` `rem-cbrt-cube_binary64_17152` `pow-to-exp_binary64_17197` `distribute-lft-in_binary64_17077`

Counts

3 → 99

Calls

3 calls:

11.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
9.0ms	(pow.f64 (*.f64 (+.f64 x y) (+.f64 x y)) 3)
4.0ms	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 x y)) 3))

series89.0ms (5.7%)

Counts

3 → 9

Calls

3 calls:

60.0ms	(pow.f64 (*.f64 (+.f64 x y) (+.f64 x y)) 3)
16.0ms	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 x y)) 3))
13.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

simplify57.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4928	1437
1	4928	1437

prune82.0ms (5.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	108	3	111

Error

Counts

111 → 3

Compiler

Compiled 1492 to 682 computations (54.3% saved)

regimes109.0ms (7%)

Accuracy

Total 0.0b remaining (68.8%)

Threshold costs 0.0b (68.8%)

Compiler

Compiled 798 to 462 computations (42.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16

end0.0ms (0%)

sample473.0ms (30.4%)

Algorithm

1×

intervals

Results

150.0ms	8000×	body	128	valid
1.0ms	72×	body	128	invalid

Compiler

Compiled 202 to 116 computations (42.6% saved)

Details

analyze65.0ms (4.2%)

sample11.0ms (0.7%)

simplify99.0ms (6.4%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite16.0ms (1%)

series14.0ms (0.9%)

simplify61.0ms (3.9%)

prune28.0ms (1.8%)

localize6.0ms (0.4%)

rewrite27.0ms (1.7%)

series58.0ms (3.7%)

simplify86.0ms (5.5%)

prune49.0ms (3.2%)

localize7.0ms (0.4%)

rewrite22.0ms (1.4%)

series67.0ms (4.3%)

simplify52.0ms (3.4%)

prune33.0ms (2.1%)

localize6.0ms (0.4%)

rewrite31.0ms (2%)

series89.0ms (5.7%)

simplify57.0ms (3.7%)

prune82.0ms (5.3%)

regimes109.0ms (7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample473.0ms (30.4%)

Profiling