Details

analyze11.0ms (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 7 to 6 computations (14.3% saved)

sample241.0ms (7.2%)

Algorithm

1×

intervals

Results

233.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify145.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

prune7.0ms (0.2%)

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

Error

31.3b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

30.3b

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

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64`
3×	`pow-prod-down_binary64` `sqrt-pow1_binary64`
1×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1/2_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`

Counts

1 → 12

Calls

1 calls:

8.0ms

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

series42.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify228.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (208.0ms)

Iter	Nodes	Cost
0	4798	123
1	4798	123

prune33.0ms (1%)

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

Error

0.2b

Counts

16 → 6

Compiler

Compiled 167 to 130 computations (22.2% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

10.0ms

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

series31.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify67.0ms (2%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5010	211

prune39.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	23	8	31

Error

0.1b

Counts

31 → 8

Compiler

Compiled 280 to 237 computations (15.4% saved)

localize7.0ms (0.2%)

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)))

rewrite37.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64`
10×	`associate-r_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
4×	`associate-l_binary64`
3×	`sqrt-prod_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 46

Calls

2 calls:

16.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
14.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

series247.0ms (7.4%)

Counts

2 → 6

Calls

2 calls:

213.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
34.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify97.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4908	577
1	4908	577

prune68.0ms (2.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	51	9	60

Error

0.0b

Counts

60 → 9

Compiler

Compiled 736 to 666 computations (9.5% saved)

localize22.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.1b

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

0.3b

(*.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)))))

rewrite85.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-exp-log_binary64`
48×	`prod-exp_binary64`
27×	`associate-r_binary64`
23×	`cbrt-prod_binary64`
22×	`cbrt-unprod_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
17×	`pow1_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64`
9×	`pow-prod-down_binary64`
7×	`sqrt-prod_binary64`
6×	`unswap-sqr_binary64`
5×	`pow-to-exp_binary64` `associate-l_binary64` `pow-exp_binary64`
3×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`unpow2_binary64` `sqr-pow_binary64`

Counts

3 → 97

Calls

3 calls:

29.0ms

(*.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))))

28.0ms

(*.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)))))

13.0ms

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

series453.0ms (13.6%)

Counts

3 → 9

Calls

3 calls:

235.0ms

(*.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)))))

188.0ms

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

29.0ms

(*.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))))

simplify74.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5168	1349

prune198.0ms (6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	106	9	115

Error

0.0b

Counts

115 → 9

Compiler

Compiled 2038 to 1900 computations (6.8% saved)

regimes208.0ms (6.2%)

Accuracy

Total 0.3b remaining (88.1%)

Threshold costs 0.3b (88.1%)

Compiler

Compiled 618 to 560 computations (9.4% saved)

bsearch32.0ms (1%)

Steps

Iters	Range		Point
10	-3.3581669044153863e-300	1.5228237703279055e-305	-2.44857824309404e-310

Compiler

Compiled 1 to 1 computations (0% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	60	37
1	60	37

end0.0ms (0%)

sample916.0ms (27.5%)

Algorithm

1×

intervals

Results

294.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 228 to 207 computations (9.2% saved)

Details

analyze11.0ms (0.3%)

sample241.0ms (7.2%)

simplify145.0ms (4.3%)

prune7.0ms (0.2%)

localize11.0ms (0.3%)

rewrite10.0ms (0.3%)

series42.0ms (1.3%)

simplify228.0ms (6.8%)

prune33.0ms (1%)

localize8.0ms (0.2%)

rewrite12.0ms (0.4%)

series31.0ms (0.9%)

simplify67.0ms (2%)

prune39.0ms (1.2%)

localize7.0ms (0.2%)

rewrite37.0ms (1.1%)

series247.0ms (7.4%)

simplify97.0ms (2.9%)

prune68.0ms (2.1%)

localize22.0ms (0.7%)

rewrite85.0ms (2.6%)

series453.0ms (13.6%)

simplify74.0ms (2.2%)

prune198.0ms (6%)

regimes208.0ms (6.2%)

bsearch32.0ms (1%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample916.0ms (27.5%)

Profiling