Details

analyze166.0ms (4.9%)

Algorithm

1×

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)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	29×	body	80	nan
0.0ms	12×	body	80	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify21.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	30	12
1	30	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

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

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
3×	`associate-l_binary64`
2×	`unswap-sqr_binary64` `insert-posit16`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

6.0ms	(*.f64 y (sqrt.f64 z))
4.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

series112.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(*.f64 y (sqrt.f64 z))
54.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

simplify146.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4952	493
1	4952	493

prune41.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Merged error: 0.0b

Counts

42 → 7

Compiler

Compiled 618 to 295 computations (52.3% saved)

localize9.0ms (0.3%)

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 y (sqrt.f64 (sqrt.f64 z)))
0.4b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite29.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`sqrt-prod_binary64`
25×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`
15×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`sqrt-pow1_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `insert-posit16`
3×	`unswap-sqr_binary64`
2×	`*-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

13.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
8.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
2.0ms	(sqrt.f64 (sqrt.f64 z))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series348.0ms (10.3%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(sqrt.f64 (sqrt.f64 z))
101.0ms	(sqrt.f64 (sqrt.f64 z))
83.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
60.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify137.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4912	1064
1	4912	1064

prune98.0ms (2.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	102	9	111

Merged error: 0b

Counts

111 → 9

Compiler

Compiled 1836 to 714 computations (61.1% saved)

localize14.0ms (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 y (sqrt.f64 (sqrt.f64 z)))
0.4b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`sqrt-prod_binary64`
20×	`add-sqr-sqrt_binary64`
19×	`add-exp-log_binary64`
16×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`
10×	`prod-exp_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `insert-posit16`
3×	`unswap-sqr_binary64` `unpow-prod-down_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sqr-pow_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 84

Calls

4 calls:

11.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
8.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
5.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series396.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
104.0ms	(sqrt.f64 (sqrt.f64 z))
96.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
87.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))

simplify91.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5041	1385

prune96.0ms (2.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	96	9	105

Merged error: 0b

Counts

105 → 9

Compiler

Compiled 1834 to 988 computations (46.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite56.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`sqrt-prod_binary64`
33×	`associate-r_binary64`
28×	`add-sqr-sqrt_binary64`
23×	`pow1_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`sqrt-pow1_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `insert-posit16`
3×	`pow1/2_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

22.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
17.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
8.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
4.0ms	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))

series393.0ms (11.7%)

Counts

4 → 12

Calls

4 calls:

135.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
112.0ms	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))
83.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
63.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

simplify129.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4922	1608
1	4922	1608

prune115.0ms (3.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	125	8	133

Merged error: 0b

Counts

133 → 8

Compiler

Compiled 2644 to 838 computations (68.3% saved)

regimes117.0ms (3.5%)

Compiler: Compiled 696 to 594 computations (14.7% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms (0%)

sample765.0ms (22.8%)

Algorithm

1×

intervals

Results

314.0ms	8000×	body	80	valid
40.0ms	1053×	body	80	nan
19.0ms	416×	body	80	invalid

Compiler

Compiled 130 to 113 computations (13.1% saved)

Details

analyze166.0ms (4.9%)

sample20.0ms (0.6%)

simplify21.0ms (0.6%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite11.0ms (0.3%)

series112.0ms (3.3%)

simplify146.0ms (4.3%)

prune41.0ms (1.2%)

localize9.0ms (0.3%)

rewrite29.0ms (0.9%)

series348.0ms (10.3%)

simplify137.0ms (4.1%)

prune98.0ms (2.9%)

localize14.0ms (0.4%)

rewrite28.0ms (0.8%)

series396.0ms (11.8%)

simplify91.0ms (2.7%)

prune96.0ms (2.9%)

localize11.0ms (0.3%)

rewrite56.0ms (1.7%)

series393.0ms (11.7%)

simplify129.0ms (3.8%)

prune115.0ms (3.4%)

regimes117.0ms (3.5%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample765.0ms (22.8%)

Profiling