Details

analyze311.0ms (5.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4830	36
1	4830	36
0	2	2
1	2	2

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%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	4×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 29 to 29 computations (0% saved)

simplify150.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	1583	18
1	1583	18

prune4.0ms (0.1%)

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

0.4b

Counts

2 → 2

Compiler

Compiled 38 to 35 computations (7.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1/9 x) (+.f64 y -1))
0.3b	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.4b	(/.f64 1/9 x)

rewrite167.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`*-un-lft-identity_binary64_10990`
20×	`add-sqr-sqrt_binary64_11012`
16×	`add-cube-cbrt_binary64_11025`
13×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
11×	`pow1_binary64_11051` `associate-r_binary64_10930`
9×	`add-log-exp_binary64_11029` `times-frac_binary64_10996`
6×	`distribute-lft-out_binary64_10941`
4×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `sqrt-prod_binary64_11006` `associate-l_binary64_10931` `flip3-+_binary64_10993` `frac-add_binary64_10998` `associate-*r/_binary64_10932` `flip-+_binary64_10964`
3×	`associate-/l_binary64_10935` `associate-/r_binary64_10934` `sum-log_binary64_11081`
2×	`unswap-sqr_binary64_10958` `*-commutative_binary64_10921`
1×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `div-inv_binary64_10987` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `associate-+r+_binary64_10922` `+-commutative_binary64_10920`

Counts

4 → 92

Calls

4 calls:

15.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
10.0ms	(+.f64 (/.f64 1/9 x) (+.f64 y -1))
5.0ms	(*.f64 3 (sqrt.f64 x))
3.0ms	(/.f64 1/9 x)

Compiler

Compiled 1808 to 1256 computations (30.5% saved)

series263.0ms (4.4%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

128.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
80.0ms	(+.f64 (/.f64 1/9 x) (+.f64 y -1))
18.0ms	(/.f64 1/9 x)
17.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 930 to 770 computations (17.2% saved)

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5014	1466

prune143.0ms (2.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	108	11	119
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	110	11	121

Error

0.0b

Counts

121 → 11

Compiler

Compiled 2084 to 1462 computations (29.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1/9 x) 1)
0.2b	(*.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1)))
0.3b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1))))
0.4b	(/.f64 1/9 x)

rewrite158.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-sqr-sqrt_binary64_11012`
26×	`*-un-lft-identity_binary64_10990`
17×	`add-cube-cbrt_binary64_11025`
13×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
12×	`times-frac_binary64_10996`
11×	`pow1_binary64_11051`
9×	`associate-l_binary64_10931`
6×	`add-log-exp_binary64_11029` `associate-r/_binary64_10932` `associate-r*_binary64_10930`
5×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
4×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `sqrt-prod_binary64_11006` `difference-of-squares_binary64_10959`
3×	`associate-/l_binary64_10935` `associate-/r_binary64_10934` `cancel-sign-sub-inv_binary64_10956`
2×	`flip3-+_binary64_10993` `flip-+_binary64_10964` `*-commutative_binary64_10921` `unswap-sqr_binary64_10958` `distribute-lft-out_binary64_10941` `distribute-lft-out--_binary64_10942` `difference-of-sqr-1_binary64_10960`
1×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `div-inv_binary64_10987` `diff-log_binary64_11082` `flip3--_binary64_10994` `sub-neg_binary64_10983` `flip--_binary64_10965`

Counts

4 → 100

Calls

4 calls:

15.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1))))
14.0ms	(*.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1)))
8.0ms	(-.f64 (/.f64 1/9 x) 1)
5.0ms	(/.f64 1/9 x)

Compiler

Compiled 1979 to 1377 computations (30.4% saved)

series292.0ms (4.9%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

130.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1))))
99.0ms	(*.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1)))
27.0ms	(-.f64 (/.f64 1/9 x) 1)
18.0ms	(/.f64 1/9 x)

Compiler

Compiled 936 to 742 computations (20.7% saved)

simplify82.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4978	1737
1	4978	1737

prune128.0ms (2.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	128	10	138

Error

0.0b

Counts

138 → 10

Compiler

Compiled 2214 to 1545 computations (30.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 3 y) -3)
0.1b	(sqrt.f64 (/.f64 1 x))
0.3b	(.f64 (sqrt.f64 x) (+.f64 (.f64 3 y) -3))
0.4b	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))

rewrite156.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

40×	`add-sqr-sqrt_binary64_11012`
33×	`sqrt-prod_binary64_11006`
25×	`*-un-lft-identity_binary64_10990`
23×	`add-cube-cbrt_binary64_11025`
22×	`times-frac_binary64_10996`
19×	`associate-r_binary64_10930`
10×	`pow1_binary64_11051`
9×	`associate-l_binary64_10931`
8×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
6×	`add-log-exp_binary64_11029` `unswap-sqr_binary64_10958`
3×	`associate-*r/_binary64_10932` `sqrt-pow1_binary64_11008` `rem-sqrt-square_binary64_11003`
2×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `sqrt-div_binary64_11007` `div-inv_binary64_10987` `*-commutative_binary64_10921` `flip3-+_binary64_10993` `flip-+_binary64_10964`
1×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `pow1/2_binary64_11070` `inv-pow_binary64_11075` `pow-flip_binary64_11064` `sum-log_binary64_11081` `+-commutative_binary64_10920`

Counts

4 → 100

Calls

4 calls:

9.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
8.0ms	(.f64 (sqrt.f64 x) (+.f64 (.f64 3 y) -3))
4.0ms	(+.f64 (*.f64 3 y) -3)
3.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 2213 to 1660 computations (25% saved)

series165.0ms (2.8%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

87.0ms	(.f64 (sqrt.f64 x) (+.f64 (.f64 3 y) -3))
30.0ms	(+.f64 (*.f64 3 y) -3)
17.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
14.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 949 to 779 computations (17.9% saved)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4921	1363
1	4921	1363

prune145.0ms (2.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	121	10	131

Error

0.0b

Counts

131 → 10

Compiler

Compiled 2509 to 1870 computations (25.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (sqrt.f64 1/9) (*.f64 3 x)) 1)
0.2b	(.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 (sqrt.f64 1/9) (.f64 3 x)) 1)))
0.3b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 (sqrt.f64 1/9) (*.f64 3 x)) 1))))
0.4b	(/.f64 (sqrt.f64 1/9) (*.f64 3 x))

rewrite182.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
16×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
13×	`add-cube-cbrt_binary64_11025`
11×	`pow1_binary64_11051`
10×	`sqrt-prod_binary64_11006`
9×	`associate-l_binary64_10931`
6×	`add-log-exp_binary64_11029` `times-frac_binary64_10996` `associate-/l_binary64_10935` `associate-r/_binary64_10932` `associate-r_binary64_10930`
5×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
4×	`pow-prod-down_binary64_11061`
3×	`cancel-sign-sub-inv_binary64_10956`
2×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `flip3-+_binary64_10993` `flip-+_binary64_10964` `*-commutative_binary64_10921` `unswap-sqr_binary64_10958` `distribute-lft-out_binary64_10941` `distribute-lft-out--_binary64_10942` `difference-of-squares_binary64_10959`
1×	`frac-2neg_binary64_11001` `clear-num_binary64_10989` `div-inv_binary64_10987` `associate-/r*_binary64_10934` `diff-log_binary64_11082` `flip3--_binary64_10994` `sub-neg_binary64_10983` `flip--_binary64_10965` `difference-of-sqr-1_binary64_10960`

Counts

4 → 97

Calls

4 calls:

17.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 (sqrt.f64 1/9) (*.f64 3 x)) 1))))
16.0ms	(.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 (sqrt.f64 1/9) (.f64 3 x)) 1)))
13.0ms	(-.f64 (/.f64 (sqrt.f64 1/9) (*.f64 3 x)) 1)
6.0ms	(/.f64 (sqrt.f64 1/9) (*.f64 3 x))

Compiler

Compiled 2334 to 1787 computations (23.4% saved)

series292.0ms (4.9%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

129.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 (sqrt.f64 1/9) (*.f64 3 x)) 1))))
100.0ms	(.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 (sqrt.f64 1/9) (.f64 3 x)) 1)))
28.0ms	(-.f64 (/.f64 (sqrt.f64 1/9) (*.f64 3 x)) 1)
18.0ms	(/.f64 (sqrt.f64 1/9) (*.f64 3 x))

Compiler

Compiled 936 to 742 computations (20.7% saved)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4925	1653
1	4925	1653

prune116.0ms (2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	124	10	134

Error

0.0b

Counts

134 → 10

Compiler

Compiled 2052 to 1467 computations (28.5% saved)

regimes532.0ms (8.9%)

Accuracy

Total 0.4b remaining (98.7%)

Threshold costs 0.4b (98.7%)

Compiler

Compiled 5672 to 4879 computations (14% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	28
1	46	28

end0.0ms (0%)

sample2.4s (40.1%)

Algorithm

1×

intervals

Results

351.0ms	8000×	body	128	valid
5.0ms	126×	body	128	nan
3.0ms	73×	body	128	invalid

Compiler

Compiled 1930 to 1660 computations (14% saved)

Details

analyze311.0ms (5.2%)

sample23.0ms (0.4%)

simplify150.0ms (2.5%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite167.0ms (2.8%)

series263.0ms (4.4%)

simplify63.0ms (1.1%)

prune143.0ms (2.4%)

localize8.0ms (0.1%)

rewrite158.0ms (2.7%)

series292.0ms (4.9%)

simplify82.0ms (1.4%)

prune128.0ms (2.2%)

localize10.0ms (0.2%)

rewrite156.0ms (2.6%)

series165.0ms (2.8%)

simplify67.0ms (1.1%)

prune145.0ms (2.4%)

localize10.0ms (0.2%)

rewrite182.0ms (3.1%)

series292.0ms (4.9%)

simplify84.0ms (1.4%)

prune116.0ms (2%)

regimes532.0ms (8.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.4s (40.1%)

Profiling