Details

analyze159.0ms (8.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	14
1	76	14
0	2	2
1	2	2

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
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample14.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	252×	body	128	valid
0.0ms	3×	body	1024	valid
0.0ms	4×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune3.0ms (0.2%)

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 21 to 19 computations (9.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 30))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
4×	`associate-r_binary64_4110`
3×	`pow1_binary64_4231` `associate-l_binary64_4111` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `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` `distribute-lft-out_binary64_4121` `unswap-sqr_binary64_4138`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 30))

series28.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

28.0ms

(*.f64 d1 (+.f64 d2 30))

simplify59.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5135	233

prune23.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	23	5	28

Error

Counts

28 → 5

Compiler

Compiled 285 to 198 computations (30.5% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 d1 10) (.f64 d1 d2))
0.1b	(+.f64 (+.f64 (.f64 d1 10) (.f64 d1 d2)) (*.f64 d1 20))

rewrite12.0ms (0.7%)

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 10) (.f64 d1 d2)) (*.f64 d1 20))
4.0ms	(+.f64 (.f64 d1 10) (.f64 d1 d2))

series56.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(+.f64 (+.f64 (.f64 d1 10) (.f64 d1 d2)) (*.f64 d1 20))
27.0ms	(+.f64 (.f64 d1 10) (.f64 d1 d2))

simplify53.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5485	341

prune25.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	32	5	37

Error

Counts

37 → 5

Compiler

Compiled 419 to 284 computations (32.2% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

3.3b	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
9.8b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

rewrite24.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_4192`
12×	`*-un-lft-identity_binary64_4170`
9×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
8×	`add-cube-cbrt_binary64_4205`
6×	`cancel-sign-sub-inv_binary64_4136`
5×	`times-frac_binary64_4176` `associate-/r*_binary64_4114`
4×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `pow1_binary64_4231` `associate-r/_binary64_4112` `associate-r*_binary64_4110`
3×	`flip3--_binary64_4174` `associate-l_binary64_4111` `difference-of-squares_binary64_4139` `flip--_binary64_4145`
2×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `distribute-lft-out--_binary64_4122` `associate-/r/_binary64_4116` `cbrt-undiv_binary64_4204` `associate-/l/_binary64_4117` `add-log-exp_binary64_4209` `sub-neg_binary64_4163` `div-exp_binary64_4221`
1×	`frac-2neg_binary64_4181` `associate-/l_binary64_4115` `div-inv_binary64_4167` `-commutative_binary64_4101` `pow-prod-down_binary64_4241` `clear-num_binary64_4169` `unswap-sqr_binary64_4138`

Counts

2 → 58

Calls

2 calls:

11.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
10.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))

series105.0ms (5.8%)

Counts

2 → 6

Calls

2 calls:

65.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
40.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))

simplify56.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	6145	918

prune51.0ms (2.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	64	5	69

Error

Counts

69 → 5

Compiler

Compiled 1002 to 599 computations (40.2% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 d2 3) 27000)
0.2b	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
2.4b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
15.8b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

rewrite45.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_4170`
11×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-log-exp_binary64_4209`
10×	`add-sqr-sqrt_binary64_4192`
8×	`add-cube-cbrt_binary64_4205`
6×	`pow1_binary64_4231`
5×	`flip-+_binary64_4144` `flip3-+_binary64_4173`
4×	`associate-r/_binary64_4112` `associate-r*_binary64_4110`
3×	`associate-l_binary64_4111` `times-frac_binary64_4176` `sum-log_binary64_4261` `associate-/r*_binary64_4114`
2×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `associate-/r/_binary64_4116` `+-commutative_binary64_4100` `associate-+r+_binary64_4102` `cbrt-undiv_binary64_4204` `associate-/l/_binary64_4117` `distribute-lft-out_binary64_4121` `div-exp_binary64_4221`
1×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `diff-log_binary64_4262` `frac-2neg_binary64_4181` `associate-/l_binary64_4115` `div-inv_binary64_4167` `associate-+r-_binary64_4104` `-commutative_binary64_4101` `cancel-sign-sub-inv_binary64_4136` `pow-prod-down_binary64_4241` `clear-num_binary64_4169` `sub-neg_binary64_4163` `unswap-sqr_binary64_4138`

Counts

4 → 75

Calls

4 calls:

15.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
11.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
7.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
6.0ms	(+.f64 (pow.f64 d2 3) 27000)

series231.0ms (12.8%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
60.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
36.0ms	(+.f64 (pow.f64 d2 3) 27000)
11.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))

simplify60.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5348	1381

prune99.0ms (5.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	87	5	92

Error

Counts

92 → 5

Compiler

Compiled 1967 to 1434 computations (27.1% saved)

regimes67.0ms (3.7%)

Accuracy

Total 0.0b remaining (96%)

Threshold costs 0.0b (96%)

Compiler

Compiled 452 to 386 computations (14.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample589.0ms (32.6%)

Algorithm

1×

intervals

Results

225.0ms	7874×	body	128	valid
7.0ms	70×	body	1024	valid
3.0ms	36×	body	512	valid
2.0ms	76×	body	128	invalid
1.0ms	19×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 164 to 142 computations (13.4% saved)

Details

analyze159.0ms (8.8%)

sample14.0ms (0.8%)

simplify7.0ms (0.4%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

rewrite8.0ms (0.4%)

series28.0ms (1.5%)

simplify59.0ms (3.3%)

prune23.0ms (1.3%)

localize7.0ms (0.4%)

rewrite12.0ms (0.7%)

series56.0ms (3.1%)

simplify53.0ms (2.9%)

prune25.0ms (1.4%)

localize7.0ms (0.4%)

rewrite24.0ms (1.4%)

series105.0ms (5.8%)

simplify56.0ms (3.1%)

prune51.0ms (2.8%)

localize12.0ms (0.6%)

rewrite45.0ms (2.5%)

series231.0ms (12.8%)

simplify60.0ms (3.3%)

prune99.0ms (5.5%)

regimes67.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample589.0ms (32.6%)

Profiling