Details

analyze378.0ms (14.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	40
1	107	40
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
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	235×	body	128	valid
1.0ms	31×	body	128	invalid
1.0ms	8×	body	1024	valid
1.0ms	8×	body	512	valid
0.0ms	5×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune3.0ms (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

0.1b

Counts

2 → 2

Compiler

Compiled 25 to 23 computations (8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 d1 3) (.f64 d1 d2))
0.0b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_4209`
4×	`sum-log_binary64_4261`
3×	`distribute-lft-out_binary64_4121`
2×	`pow1_binary64_4231` `add-sqr-sqrt_binary64_4192` `add-exp-log_binary64_4208` `*-un-lft-identity_binary64_4170` `flip-+_binary64_4144` `add-cbrt-cube_binary64_4206` `+-commutative_binary64_4100` `flip3-+_binary64_4173` `add-cube-cbrt_binary64_4205`
1×	`associate-+l+_binary64_4103`

Counts

2 → 26

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
4.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

series58.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

33.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
25.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

simplify53.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5164	407

prune28.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	29	5	34

Error

0.0b

Counts

34 → 5

Compiler

Compiled 477 to 282 computations (40.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_4170`
5×	`add-sqr-sqrt_binary64_4192` `associate-r_binary64_4110`
3×	`pow1_binary64_4231` `associate-l_binary64_4111` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `distribute-lft-out_binary64_4121` `add-cube-cbrt_binary64_4205`
2×	`associate-*r/_binary64_4112`
1×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `flip-+_binary64_4144` `flip3-+_binary64_4173` `*-commutative_binary64_4101` `pow-prod-down_binary64_4241` `add-log-exp_binary64_4209` `unswap-sqr_binary64_4138`

Counts

1 → 24

Calls

1 calls:

10.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

series27.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

27.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

simplify61.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5245	315

prune22.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	27	5	32

Error

Counts

32 → 5

Compiler

Compiled 368 to 197 computations (46.5% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
0.6b	(cbrt.f64 d1)
0.6b	(cbrt.f64 d1)
0.6b	(cbrt.f64 d1)

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4201`
23×	`add-sqr-sqrt_binary64_4192`
15×	`*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
11×	`pow1_binary64_4231`
9×	`pow1/3_binary64_4252`
6×	`swap-sqr_binary64_4137` `associate-l_binary64_4111` `add-exp-log_binary64_4208` `associate-r_binary64_4110`
4×	`add-cbrt-cube_binary64_4206` `add-log-exp_binary64_4209` `unswap-sqr_binary64_4138`
2×	`pow-prod-up_binary64_4240` `pow-prod-down_binary64_4241` `pow-sqr_binary64_4143`
1×	`pow-plus_binary64_4233` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `pow2_binary64_4251` `*-commutative_binary64_4101`

Counts

4 → 73

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
1.0ms	(cbrt.f64 d1)
1.0ms	(cbrt.f64 d1)
1.0ms	(cbrt.f64 d1)

series347.0ms (13.6%)

Counts

4 → 12

Calls

4 calls:

104.0ms	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
84.0ms	(cbrt.f64 d1)
80.0ms	(cbrt.f64 d1)
79.0ms	(cbrt.f64 d1)

simplify64.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune67.0ms (2.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Error

Counts

90 → 5

Compiler

Compiled 1450 to 598 computations (58.8% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
5.8b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
14.8b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

rewrite34.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64_4170`
20×	`add-sqr-sqrt_binary64_4192`
12×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
11×	`add-cube-cbrt_binary64_4205`
8×	`associate-r_binary64_4110` `distribute-lft-out_binary64_4121`
7×	`associate-l_binary64_4111`
6×	`swap-sqr_binary64_4137` `associate-r/_binary64_4112` `flip-+_binary64_4144` `flip3-+_binary64_4173` `times-frac_binary64_4176` `associate-/r_binary64_4114`
4×	`frac-times_binary64_4180` `distribute-lft-out--_binary64_4122`
3×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `flip3--_binary64_4174` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `difference-of-squares_binary64_4139` `add-log-exp_binary64_4209` `flip--_binary64_4145`
2×	`associate-l/_binary64_4113` `associate-/r/_binary64_4116` `-commutative_binary64_4101` `cancel-sign-sub-inv_binary64_4136` `cbrt-undiv_binary64_4204` `pow-prod-down_binary64_4241` `associate-/l/_binary64_4117` `sub-neg_binary64_4163` `unswap-sqr_binary64_4138` `div-exp_binary64_4221`
1×	`pow-plus_binary64_4233` `frac-2neg_binary64_4181` `associate-/l*_binary64_4115` `pow2_binary64_4251` `div-inv_binary64_4167` `pow-prod-up_binary64_4240` `clear-num_binary64_4169` `pow-sqr_binary64_4143`

Counts

3 → 96

Calls

3 calls:

11.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
9.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
6.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))

series194.0ms (7.6%)

Counts

3 → 9

Calls

3 calls:

118.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
63.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
13.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))

simplify69.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4967	1867
1	4967	1867

prune99.0ms (3.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	105	5	110

Error

Counts

110 → 5

Compiler

Compiled 2288 to 1114 computations (51.3% saved)

regimes125.0ms (4.9%)

Accuracy

Total 0.1b remaining (95.6%)

Threshold costs 0.1b (95.6%)

Compiler

Compiled 1072 to 860 computations (19.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

Compiler

Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

sample823.0ms (32.2%)

Algorithm

1×

intervals

Results

241.0ms	7463×	body	128	valid
22.0ms	717×	body	128	invalid
21.0ms	222×	body	512	valid
18.0ms	169×	body	1024	valid
9.0ms	146×	body	256	valid

Compiler

Compiled 291 to 235 computations (19.2% saved)

Details

analyze378.0ms (14.8%)

sample19.0ms (0.7%)

simplify7.0ms (0.3%)

prune3.0ms (0.1%)

localize7.0ms (0.3%)

rewrite12.0ms (0.5%)

series58.0ms (2.3%)

simplify53.0ms (2.1%)

prune28.0ms (1.1%)

localize5.0ms (0.2%)

rewrite12.0ms (0.5%)

series27.0ms (1.1%)

simplify61.0ms (2.4%)

prune22.0ms (0.9%)

localize9.0ms (0.4%)

rewrite17.0ms (0.7%)

series347.0ms (13.6%)

simplify64.0ms (2.5%)

prune67.0ms (2.6%)

localize9.0ms (0.3%)

rewrite34.0ms (1.3%)

series194.0ms (7.6%)

simplify69.0ms (2.7%)

prune99.0ms (3.9%)

regimes125.0ms (4.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample823.0ms (32.2%)

Profiling