Details

analyze8.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

Compiler

Compiled 9 to 5 computations (44.4% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify160.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

prune3.0ms (0.1%)

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

Merged error: 31.7b

Counts

2 → 1

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

30.6b

(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64_135`
2×	`sqrt-pow1_binary64_94` `sqrt-div_binary64_93` `associate-*r/_binary64_21`
1×	`add-exp-log_binary64_112` `sqrt-prod_binary64_92` `add-cbrt-cube_binary64_110` `pow-prod-down_binary64_145` `add-log-exp_binary64_113` `flip-+_binary64_51` `flip3-+_binary64_80` `add-cube-cbrt_binary64_109` `pow1/2_binary64_154` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`

Counts

1 → 13

Calls

1 calls:

6.0ms

(sqrt.f64 (*.f64 x (+.f64 x x)))

series53.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

53.0ms

(sqrt.f64 (*.f64 x (+.f64 x x)))

simplify66.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4711	140
1	4711	140

prune20.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	6	17

Merged error: 0.1b

Counts

17 → 6

Compiler

Compiled 174 to 78 computations (55.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.4b	(*.f64 x (sqrt.f64 2))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_98`
6×	`associate-r_binary64_19`
4×	`sqrt-prod_binary64_92` `add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
3×	`add-exp-log_binary64_112` `associate-l_binary64_20` `add-cbrt-cube_binary64_110` `pow1_binary64_135`
2×	`unswap-sqr_binary64_45`
1×	`pow-prod-down_binary64_145` `add-log-exp_binary64_113` `cbrt-unprod_binary64_107` `prod-exp_binary64_123` `*-commutative_binary64_10`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 x (sqrt.f64 2))

series50.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

50.0ms

(*.f64 x (sqrt.f64 2))

simplify44.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4987	211
1	4987	211

prune22.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	24	7	31

Merged error: 0.1b

Counts

31 → 7

Compiler

Compiled 240 to 195 computations (18.8% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.3b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

rewrite25.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_112` `pow1_binary64_135`
10×	`associate-r_binary64_19`
9×	`add-cbrt-cube_binary64_110` `pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123`
7×	`add-sqr-sqrt_binary64_98`
6×	`cbrt-prod_binary64_105` `add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
4×	`associate-l_binary64_20`
3×	`sqrt-prod_binary64_92`
2×	`add-log-exp_binary64_113` `*-commutative_binary64_10`
1×	`unswap-sqr_binary64_45`

Counts

2 → 46

Calls

2 calls:

13.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
9.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

series337.0ms (14.2%)

Counts

2 → 6

Calls

2 calls:

272.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
64.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify68.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5074	577

prune51.0ms (2.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	51	8	59

Merged error: 0.1b

Counts

59 → 8

Compiler

Compiled 669 to 597 computations (10.8% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.2b

(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))

0.2b

(*.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))

0.4b

(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

rewrite60.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-exp-log_binary64_112`
48×	`prod-exp_binary64_123`
27×	`associate-r_binary64_19`
23×	`cbrt-prod_binary64_105`
22×	`add-cbrt-cube_binary64_110` `cbrt-unprod_binary64_107` `add-sqr-sqrt_binary64_98`
17×	`pow1_binary64_135`
12×	`unpow-prod-down_binary64_153` `add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
9×	`pow-prod-down_binary64_145`
7×	`sqrt-prod_binary64_92`
6×	`unswap-sqr_binary64_45`
5×	`pow-to-exp_binary64_143` `associate-l_binary64_20` `pow-exp_binary64_142`
3×	`add-log-exp_binary64_113` `*-commutative_binary64_10`
2×	`sqr-pow_binary64_49` `unpow2_binary64_139`

Counts

3 → 97

Calls

3 calls:

21.0ms

(*.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))

15.0ms

(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

8.0ms

(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))

series673.0ms (28.3%)

Counts

3 → 9

Calls

3 calls:

337.0ms

(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

276.0ms

(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))

59.0ms

(*.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))

simplify78.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4886	1349
1	4886	1349

prune135.0ms (5.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	2	2	4
Picked	1	0	1
Done	0	3	3
Total	108	6	114

Merged error: 0.1b

Counts

114 → 6

Compiler

Compiled 1932 to 1794 computations (7.1% saved)

regimes20.0ms (0.8%)

Compiler: Compiled 49 to 45 computations (8.2% saved)

bsearch16.0ms (0.7%)

Steps

Iters	Range		Point
9	-4.684498654258533e-306	9.857460893274549e-306	-2.98332070175644e-310

Compiler

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	30
1	43	30

end0.0ms (0%)

sample438.0ms (18.4%)

Algorithm

1×

intervals

Results

203.0ms

8000×

body

128

valid

Compiler

Compiled 75 to 66 computations (12% saved)

Details

analyze8.0ms (0.3%)

sample12.0ms (0.5%)

simplify160.0ms (6.7%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

rewrite6.0ms (0.3%)

series53.0ms (2.2%)

simplify66.0ms (2.8%)

prune20.0ms (0.8%)

localize3.0ms (0.1%)

rewrite7.0ms (0.3%)

series50.0ms (2.1%)

simplify44.0ms (1.9%)

prune22.0ms (0.9%)

localize6.0ms (0.3%)

rewrite25.0ms (1.1%)

series337.0ms (14.2%)

simplify68.0ms (2.9%)

prune51.0ms (2.2%)

localize11.0ms (0.4%)

rewrite60.0ms (2.5%)

series673.0ms (28.3%)

simplify78.0ms (3.3%)

prune135.0ms (5.7%)

regimes20.0ms (0.8%)

bsearch16.0ms (0.7%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample438.0ms (18.4%)

Profiling