Details

analyze4.0ms (0.1%)

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 7 to 6 computations (14.3% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify163.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 30.1b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

29.1b

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

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_140`
3×	`pow-prod-down_binary64_150` `sqrt-pow1_binary64_97`
1×	`sqrt-prod_binary64_95` `add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101` `add-log-exp_binary64_118` `pow1/2_binary64_159` `*-un-lft-identity_binary64_79`

Counts

1 → 12

Calls

1 calls:

5.0ms

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

series49.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify148.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4780	123
1	4780	123

prune37.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	6	16

Merged error: 0.2b

Counts

16 → 6

Compiler

Compiled 444 to 359 computations (19.1% saved)

localize4.0ms (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_101`
6×	`associate-r_binary64_19`
4×	`sqrt-prod_binary64_95` `add-cube-cbrt_binary64_114` `*-un-lft-identity_binary64_79`
3×	`add-exp-log_binary64_117` `associate-l_binary64_20` `add-cbrt-cube_binary64_115` `pow1_binary64_140`
2×	`unswap-sqr_binary64_47`
1×	`cbrt-unprod_binary64_112` `prod-exp_binary64_128` `*-commutative_binary64_10` `pow-prod-down_binary64_150` `add-log-exp_binary64_118`

Counts

1 → 22

Calls

1 calls:

6.0ms

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

series52.0ms (2%)

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify45.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4987	211
1	4987	211

prune55.0ms (2.1%)

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 688 to 587 computations (14.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(.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)))

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_117` `pow1_binary64_140`
10×	`associate-r_binary64_19`
9×	`add-cbrt-cube_binary64_115` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `pow-prod-down_binary64_150`
7×	`add-sqr-sqrt_binary64_101`
6×	`add-cube-cbrt_binary64_114` `cbrt-prod_binary64_110` `*-un-lft-identity_binary64_79`
4×	`associate-l_binary64_20`
3×	`sqrt-prod_binary64_95`
2×	`*-commutative_binary64_10` `add-log-exp_binary64_118`
1×	`unswap-sqr_binary64_47`

Counts

2 → 46

Calls

2 calls:

14.0ms	(.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))))

series360.0ms (13.5%)

Counts

2 → 6

Calls

2 calls:

299.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
60.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify55.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4902	577
1	4902	577

prune67.0ms (2.5%)

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 928 to 842 computations (9.3% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.1b

(*.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)))))

rewrite62.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-exp-log_binary64_117`
48×	`prod-exp_binary64_128`
27×	`associate-r_binary64_19`
23×	`cbrt-prod_binary64_110`
22×	`add-cbrt-cube_binary64_115` `add-sqr-sqrt_binary64_101` `cbrt-unprod_binary64_112`
17×	`pow1_binary64_140`
12×	`add-cube-cbrt_binary64_114` `unpow-prod-down_binary64_158` `*-un-lft-identity_binary64_79`
9×	`pow-prod-down_binary64_150`
7×	`sqrt-prod_binary64_95`
6×	`unswap-sqr_binary64_47`
5×	`pow-exp_binary64_147` `associate-l_binary64_20` `pow-to-exp_binary64_148`
3×	`*-commutative_binary64_10` `add-log-exp_binary64_118`
2×	`unpow2_binary64_144` `sqr-pow_binary64_51`

Counts

3 → 97

Calls

3 calls:

26.0ms

(*.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)))))

9.0ms

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

series681.0ms (25.5%)

Counts

3 → 9

Calls

3 calls:

359.0ms

(*.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)))))

264.0ms

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

58.0ms

(*.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))))

simplify83.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4906	1349
1	4906	1349

prune167.0ms (6.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	106	8	114

Merged error: 0.0b

Counts

114 → 8

Compiler

Compiled 2365 to 2206 computations (6.7% saved)

regimes72.0ms (2.7%)

Compiler: Compiled 303 to 278 computations (8.3% saved)

bsearch17.0ms (0.6%)

Steps

Iters	Range		Point
10	-3.9681275995538487e-296	1.2572836616611889e-306	-3.36249247522897e-310

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	30
1	59	30

end0.0ms (0%)

sample465.0ms (17.5%)

Algorithm

1×

intervals

Results

195.0ms

8000×

body

128

valid

Compiler

Compiled 119 to 110 computations (7.6% saved)

Details

analyze4.0ms (0.1%)

sample15.0ms (0.6%)

simplify163.0ms (6.1%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite5.0ms (0.2%)

series49.0ms (1.9%)

simplify148.0ms (5.5%)

prune37.0ms (1.4%)

localize4.0ms (0.1%)

rewrite7.0ms (0.3%)

series52.0ms (2%)

simplify45.0ms (1.7%)

prune55.0ms (2.1%)

localize7.0ms (0.3%)

rewrite26.0ms (1%)

series360.0ms (13.5%)

simplify55.0ms (2.1%)

prune67.0ms (2.5%)

localize11.0ms (0.4%)

rewrite62.0ms (2.3%)

series681.0ms (25.5%)

simplify83.0ms (3.1%)

prune167.0ms (6.3%)

regimes72.0ms (2.7%)

bsearch17.0ms (0.6%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample465.0ms (17.5%)

Profiling