Details

analyze760.0ms (12%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5803	60
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
0%	99.9%	0.1%	6
0%	81.1%	18.9%	7
6.2%	74.9%	18.9%	8
9.4%	65.5%	25.1%	9
15.6%	48.4%	36%	10
20.3%	43.1%	36.6%	11
22.6%	36%	41.4%	12
27.1%	25.1%	47.8%	13
29.5%	22.5%	48%	14

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
2.0ms	58×	body	128	nan
1.0ms	19×	body	128	invalid

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify369.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (363.0ms)

Iter	Nodes	Cost
0	10529	15

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

23.1b

Counts

2 → 1

Compiler

Compiled 20 to 16 computations (20% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
1.8b	(-.f64 (.f64 y y) (.f64 z z))
22.8b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

rewrite100.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

9.6b

Rules

12×	`add-sqr-sqrt_binary64_14422`
9×	`sqrt-prod_binary64_14416`
7×	`add-cube-cbrt_binary64_14435` `-un-lft-identity_binary64_14400` `associate-r*_binary64_14340`
6×	`pow1_binary64_14461`
5×	`add-log-exp_binary64_14439` `add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
4×	`sqrt-div_binary64_14417`
3×	`flip3--_binary64_14404` `flip--_binary64_14375` `difference-of-squares_binary64_14369` `associate-l_binary64_14341`
2×	`unswap-sqr_binary64_14368` `associate-*r/_binary64_14342`
1×	`pow1/2_binary64_14480` `sqrt-pow1_binary64_14418` `rem-sqrt-square_binary64_14413` `diff-log_binary64_14492` `sub-neg_binary64_14393` `cancel-sign-sub-inv_binary64_14366` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `*-commutative_binary64_14331`

Counts

3 → 54

Calls

3 calls:

8.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
4.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))

Compiler

Compiled 952 to 190 computations (80% saved)

series493.0ms (7.8%)

Error

0.4b

Counts

3 → 37

Calls

3 calls:

225.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
136.0ms	(-.f64 (.f64 y y) (.f64 z z))
110.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Compiler

Compiled 844 to 754 computations (10.7% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4913	1324
1	4913	1324

prune78.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	5	92

Error

0.3b

Counts

92 → 5

Compiler

Compiled 922 to 298 computations (67.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 y x) (.f64 1/2 (.f64 (/.f64 (.f64 z z) y) x)))
5.0b	(.f64 (/.f64 (.f64 z z) y) x)
8.0b	(/.f64 (*.f64 z z) y)

rewrite102.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

17×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
12×	`add-sqr-sqrt_binary64_14422`
8×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
7×	`times-frac_binary64_14406` `associate-l_binary64_14341`
5×	`pow1_binary64_14461` `prod-exp_binary64_14449` `add-log-exp_binary64_14439` `cbrt-unprod_binary64_14433`
4×	`div-exp_binary64_14451` `cbrt-undiv_binary64_14434`
3×	`associate-/r_binary64_14344` `associate-r*_binary64_14340`
2×	`div-inv_binary64_14397` `unswap-sqr_binary64_14368`
1×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-/l_binary64_14345` `pow-prod-down_binary64_14471` `associate-l/_binary64_14343` `*-commutative_binary64_14331` `diff-log_binary64_14492` `flip3--_binary64_14404` `sub-neg_binary64_14393` `flip--_binary64_14375` `cancel-sign-sub-inv_binary64_14366`

Counts

3 → 61

Calls

3 calls:

7.0ms	(.f64 (/.f64 (.f64 z z) y) x)
5.0ms	(/.f64 (*.f64 z z) y)
5.0ms	(-.f64 (.f64 y x) (.f64 1/2 (.f64 (/.f64 (.f64 z z) y) x)))

Compiler

Compiled 1227 to 395 computations (67.8% saved)

series689.0ms (10.9%)

Error

0.3b

Counts

3 → 30

Calls

3 calls:

370.0ms	(-.f64 (.f64 y x) (.f64 1/2 (.f64 (/.f64 (.f64 z z) y) x)))
204.0ms	(.f64 (/.f64 (.f64 z z) y) x)
107.0ms	(/.f64 (*.f64 z z) y)

Compiler

Compiled 727 to 613 computations (15.7% saved)

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4980	1165
1	4980	1165

prune64.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	91	5	96

Error

0.3b

Counts

96 → 5

Compiler

Compiled 910 to 340 computations (62.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 y z))
0.0b	(sqrt.f64 (+.f64 z y))
0.0b	(.f64 x (.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
0.3b	(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))

rewrite144.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

28×	`sqrt-div_binary64_14417`
25×	`add-sqr-sqrt_binary64_14422`
22×	`sqrt-prod_binary64_14416`
19×	`*-un-lft-identity_binary64_14400`
15×	`pow1_binary64_14461`
12×	`associate-*r/_binary64_14342`
11×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436` `add-cube-cbrt_binary64_14435`
10×	`associate-l_binary64_14341`
9×	`associate-r_binary64_14340`
8×	`frac-times_binary64_14410`
7×	`flip3--_binary64_14404` `flip3-+_binary64_14403` `flip--_binary64_14375` `flip-+_binary64_14374`
6×	`pow-prod-down_binary64_14471`
4×	`pow1/2_binary64_14480` `sqrt-pow1_binary64_14418` `prod-exp_binary64_14449` `add-log-exp_binary64_14439` `cbrt-unprod_binary64_14433` `unswap-sqr_binary64_14368` `associate-*l/_binary64_14343`
2×	`distribute-lft-out_binary64_14351` `difference-of-squares_binary64_14369` `distribute-lft-out--_binary64_14352` `*-commutative_binary64_14331` `rem-sqrt-square_binary64_14413`
1×	`sqrt-unprod_binary64_14420`

Counts

4 → 100

Calls

4 calls:

17.0ms	(.f64 x (.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
12.0ms	(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
3.0ms	(sqrt.f64 (-.f64 y z))
3.0ms	(sqrt.f64 (+.f64 z y))

Compiler

Compiled 1741 to 407 computations (76.6% saved)

series470.0ms (7.4%)

Error

0.3b

Counts

4 → 41

Calls

4 calls:

215.0ms	(.f64 x (.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
117.0ms	(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
55.0ms	(sqrt.f64 (-.f64 y z))
53.0ms	(sqrt.f64 (+.f64 z y))

Compiler

Compiled 1309 to 1057 computations (19.3% saved)

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5126	2300

prune120.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	141	5	146

Error

0.3b

Counts

146 → 5

Compiler

Compiled 1866 to 589 computations (68.4% saved)

localize3.0ms (0.1%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.3b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Error

0.3b

Counts

5 → 5

Compiler

Compiled 0 to 0 computations (0% saved)

regimes1.7s (27.4%)

Accuracy

Total 0.3b remaining (76%)

Threshold costs 0.3b (76%)

Compiler

Compiled 9714 to 7290 computations (25% saved)

bsearch13.0ms (0.2%)

Steps

Iters	Range		Point
1	-1.6520389638736332e-265	3.1560252200738787e-267	-8.240555728114612e-308

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	29
1	51	29

end1.0ms (0%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

sample926.0ms (14.6%)

Algorithm

1×

intervals

Results

337.0ms	8000×	body	128	valid
75.0ms	1867×	body	128	nan
32.0ms	693×	body	128	invalid

Compiler

Compiled 103 to 94 computations (8.7% saved)

Details

analyze760.0ms (12%)

sample26.0ms (0.4%)

simplify369.0ms (5.8%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite100.0ms (1.6%)

series493.0ms (7.8%)

simplify79.0ms (1.2%)

prune78.0ms (1.2%)

localize10.0ms (0.2%)

rewrite102.0ms (1.6%)

series689.0ms (10.9%)

simplify51.0ms (0.8%)

prune64.0ms (1%)

localize9.0ms (0.1%)

rewrite144.0ms (2.3%)

series470.0ms (7.4%)

simplify72.0ms (1.1%)

prune120.0ms (1.9%)

localize3.0ms (0.1%)

rewrite1.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

regimes1.7s (27.4%)

bsearch13.0ms (0.2%)

simplify3.0ms (0%)

end1.0ms (0%)

sample926.0ms (14.6%)

Profiling