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 9 to 5 computations (44.4% saved)

sample10.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify169.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

prune4.0ms (0.2%)

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: 30.1b

Counts

2 → 1

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

29.1b

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

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64_140`
2×	`associate-*r/_binary64_21` `sqrt-pow1_binary64_97` `sqrt-div_binary64_96`
1×	`sqrt-prod_binary64_95` `add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `flip-+_binary64_53` `add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101` `pow-prod-down_binary64_150` `add-log-exp_binary64_118` `pow1/2_binary64_159` `flip3-+_binary64_82` `*-un-lft-identity_binary64_79`

Counts

1 → 13

Calls

1 calls:

6.0ms

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

series49.0ms (2%)

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify69.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4711	140
1	4711	140

prune46.0ms (1.8%)

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: 0.2b

Counts

17 → 6

Compiler

Compiled 571 to 287 computations (49.7% saved)

localize4.0ms (0.2%)

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))

series51.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify44.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4987	211
1	4987	211

prune53.0ms (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 510 computations (25.9% 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)))

rewrite28.0ms (1.1%)

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:

15.0ms	(.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))))

series331.0ms (13.3%)

Counts

2 → 6

Calls

2 calls:

278.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
53.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify56.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4902	577
1	4902	577

prune67.0ms (2.7%)

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 804 computations (13.4% 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)))))

rewrite65.0ms (2.6%)

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:

24.0ms

(*.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))))

16.0ms

(*.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)))))

10.0ms

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

series681.0ms (27.2%)

Counts

3 → 9

Calls

3 calls:

357.0ms

(*.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)))))

268.0ms

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

56.0ms

(*.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))))

simplify84.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4906	1349
1	4906	1349

prune164.0ms (6.6%)

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 2167 computations (8.4% saved)

regimes24.0ms (1%)

Compiler: Compiled 95 to 75 computations (21.1% saved)

bsearch17.0ms (0.7%)

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%)

sample441.0ms (17.7%)

Algorithm

1×

intervals

Results

183.0ms

8000×

body

128

valid

Compiler

Compiled 121 to 96 computations (20.7% saved)

Details

analyze4.0ms (0.1%)

sample10.0ms (0.4%)

simplify169.0ms (6.7%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series49.0ms (2%)

simplify69.0ms (2.8%)

prune46.0ms (1.8%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series51.0ms (2.1%)

simplify44.0ms (1.7%)

prune53.0ms (2.1%)

localize7.0ms (0.3%)

rewrite28.0ms (1.1%)

series331.0ms (13.3%)

simplify56.0ms (2.3%)

prune67.0ms (2.7%)

localize11.0ms (0.4%)

rewrite65.0ms (2.6%)

series681.0ms (27.2%)

simplify84.0ms (3.3%)

prune164.0ms (6.6%)

regimes24.0ms (1%)

bsearch17.0ms (0.7%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample441.0ms (17.7%)

Profiling