Details

analyze258.0ms (8.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	48
1	79	48
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

Compiler

Compiled 11 to 11 computations (0% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	33×	body	128	nan
0.0ms	14×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	12
1	29	12

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (sqrt.f64 z)))
0.2b	(*.f64 y (sqrt.f64 z))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_7261`
6×	`associate-r_binary64_7179`
5×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
4×	`sqrt-prod_binary64_7255` `add-exp-log_binary64_7277` `add-log-exp_binary64_7278` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275`
3×	`associate-l_binary64_7180`
2×	`unswap-sqr_binary64_7207`
1×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `*-commutative_binary64_7170` `prod-exp_binary64_7288` `+-commutative_binary64_7169` `sum-log_binary64_7330`

Counts

2 → 33

Calls

2 calls:

5.0ms	(*.f64 y (sqrt.f64 z))
3.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

series62.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

33.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
29.0ms	(*.f64 y (sqrt.f64 z))

simplify56.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4961	474
1	4961	474

prune38.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	7	40

Error

0.0b

Counts

40 → 7

Compiler

Compiled 614 to 288 computations (53.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`sqrt-prod_binary64_7255`
25×	`add-sqr-sqrt_binary64_7261`
18×	`associate-r_binary64_7179`
15×	`*-un-lft-identity_binary64_7239` `pow1_binary64_7300` `add-cube-cbrt_binary64_7274`
11×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
8×	`sqrt-pow1_binary64_7257`
4×	`pow1/2_binary64_7319` `rem-sqrt-square_binary64_7252` `add-log-exp_binary64_7278` `cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `associate-l_binary64_7180`
3×	`unswap-sqr_binary64_7207`
2×	`*-commutative_binary64_7170`

Counts

4 → 88

Calls

4 calls:

10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
6.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
2.0ms	(sqrt.f64 (sqrt.f64 z))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series194.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(sqrt.f64 (sqrt.f64 z))
58.0ms	(sqrt.f64 (sqrt.f64 z))
43.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
29.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify87.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4909	1032
1	4909	1032

prune87.0ms (2.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	101	6	107

Error

0.0b

Counts

107 → 6

Compiler

Compiled 1744 to 654 computations (62.5% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`sqrt-prod_binary64_7255`
20×	`add-sqr-sqrt_binary64_7261`
19×	`add-exp-log_binary64_7277`
16×	`associate-r_binary64_7179`
12×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
11×	`add-cbrt-cube_binary64_7275`
10×	`prod-exp_binary64_7288`
8×	`pow1_binary64_7300`
6×	`add-log-exp_binary64_7278`
4×	`cbrt-unprod_binary64_7272` `sqrt-pow1_binary64_7257` `associate-l_binary64_7180`
3×	`unswap-sqr_binary64_7207` `unpow-prod-down_binary64_7318`
2×	`pow1/2_binary64_7319` `rem-sqrt-square_binary64_7252` `pow-to-exp_binary64_7308` `pow-exp_binary64_7307` `*-commutative_binary64_7170`
1×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `sqr-pow_binary64_7211` `pow-prod-down_binary64_7310` `+-commutative_binary64_7169` `sum-log_binary64_7330`

Counts

4 → 80

Calls

4 calls:

9.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
3.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series213.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt.f64 (sqrt.f64 z))
55.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
55.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
42.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))

simplify72.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4926	1333
1	4926	1333

prune87.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Error

0.0b

Counts

98 → 6

Compiler

Compiled 1737 to 912 computations (47.5% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
0.3b	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
0.4b	(.f64 (sqrt.f64 (sqrt.f64 z)) (.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))))

rewrite50.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`sqrt-prod_binary64_7255`
28×	`add-sqr-sqrt_binary64_7261`
25×	`associate-r_binary64_7179`
22×	`pow1_binary64_7300`
20×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
18×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
13×	`associate-l_binary64_7180`
10×	`cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `prod-exp_binary64_7288`
4×	`add-log-exp_binary64_7278` `unswap-sqr_binary64_7207` `sqrt-pow1_binary64_7257`
3×	`*-commutative_binary64_7170`
2×	`pow1/2_binary64_7319` `rem-sqrt-square_binary64_7252`

Counts

4 → 103

Calls

4 calls:

17.0ms	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
12.0ms	(.f64 (sqrt.f64 (sqrt.f64 z)) (.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))))
9.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series222.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(.f64 (sqrt.f64 (sqrt.f64 z)) (.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))))
54.0ms	(sqrt.f64 (sqrt.f64 z))
49.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
32.0ms	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

simplify69.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4894	1517
1	4894	1517

prune107.0ms (3.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	114	7	121

Error

Counts

121 → 7

Compiler

Compiled 2467 to 839 computations (66% saved)

regimes303.0ms (10.2%)

Accuracy

Total 0.1b remaining (85.5%)

Threshold costs 0.1b (85.5%)

Compiler

Compiled 2724 to 2063 computations (24.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms (0%)

sample940.0ms (31.5%)

Algorithm

1×

intervals

Results

297.0ms	7999×	body	128	valid
33.0ms	1015×	body	128	nan
14.0ms	395×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 401 to 307 computations (23.4% saved)

Details

analyze258.0ms (8.6%)

sample19.0ms (0.6%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite10.0ms (0.3%)

series62.0ms (2.1%)

simplify56.0ms (1.9%)

prune38.0ms (1.3%)

localize11.0ms (0.4%)

rewrite26.0ms (0.9%)

series194.0ms (6.5%)

simplify87.0ms (2.9%)

prune87.0ms (2.9%)

localize11.0ms (0.4%)

rewrite27.0ms (0.9%)

series213.0ms (7.2%)

simplify72.0ms (2.4%)

prune87.0ms (2.9%)

localize11.0ms (0.4%)

rewrite50.0ms (1.7%)

series222.0ms (7.5%)

simplify69.0ms (2.3%)

prune107.0ms (3.6%)

regimes303.0ms (10.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample940.0ms (31.5%)

Profiling