Details

analyze324.0ms (4.3%)

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)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
0.0ms	6×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 29 to 29 computations (0% saved)

simplify190.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	1583	18
1	1583	18

prune8.0ms (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

0.3b

Counts

2 → 2

Compiler

Compiled 38 to 35 computations (7.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (/.f64 1 (*.f64 x 9)))
0.2b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
0.3b	(*.f64 3 (sqrt.f64 x))
0.6b	(/.f64 1 (*.f64 x 9))

rewrite219.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`*-un-lft-identity_binary64_11331`
22×	`add-exp-log_binary64_11369`
20×	`add-sqr-sqrt_binary64_11353`
16×	`add-cbrt-cube_binary64_11367`
15×	`associate-r_binary64_11271`
14×	`pow1_binary64_11392`
12×	`add-cube-cbrt_binary64_11366`
7×	`prod-exp_binary64_11380`
6×	`add-log-exp_binary64_11370` `cancel-sign-sub-inv_binary64_11297`
5×	`pow-prod-down_binary64_11402` `cbrt-unprod_binary64_11364` `distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280`
4×	`div-exp_binary64_11382` `sqrt-prod_binary64_11347` `associate-l_binary64_11272` `distribute-lft-out_binary64_11282`
3×	`times-frac_binary64_11337` `div-inv_binary64_11328` `associate-/l*_binary64_11276` `distribute-lft-out--_binary64_11283`
2×	`pow-flip_binary64_11405` `1-exp_binary64_11375` `rec-exp_binary64_11381` `cbrt-undiv_binary64_11365` `unswap-sqr_binary64_11299` `-commutative_binary64_11262` `sub-neg_binary64_11324` `associate--l+_binary64_11268` `associate-r/_binary64_11273` `difference-of-squares_binary64_11300`
1×	`inv-pow_binary64_11416` `frac-2neg_binary64_11342` `clear-num_binary64_11330` `associate-/r*_binary64_11275` `flip3--_binary64_11335` `flip--_binary64_11306` `difference-of-sqr-1_binary64_11301` `sum-log_binary64_11422` `flip3-+_binary64_11334` `flip-+_binary64_11305` `+-commutative_binary64_11261`

Counts

4 → 99

Calls

4 calls:

28.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
6.0ms	(+.f64 y (/.f64 1 (*.f64 x 9)))
5.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 2109 to 1565 computations (25.8% saved)

series302.0ms (4%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

168.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
62.0ms	(+.f64 y (/.f64 1 (*.f64 x 9)))
31.0ms	(/.f64 1 (*.f64 x 9))
18.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 956 to 796 computations (16.7% saved)

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4922	1421
1	4922	1421

prune172.0ms (2.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	116	10	126
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	118	10	128

Error

0.0b

Counts

128 → 10

Compiler

Compiled 2212 to 1599 computations (27.7% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 1 x))
0.2b	(*.f64 (sqrt.f64 x) (+.f64 y -1))
0.3b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
0.4b	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))

rewrite225.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`add-sqr-sqrt_binary64_11353`
33×	`sqrt-prod_binary64_11347`
28×	`*-un-lft-identity_binary64_11331`
24×	`add-cube-cbrt_binary64_11366`
22×	`times-frac_binary64_11337` `associate-r_binary64_11271`
15×	`pow1_binary64_11392`
13×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
12×	`associate-l_binary64_11272`
7×	`associate-*r/_binary64_11273`
6×	`unswap-sqr_binary64_11299`
5×	`pow-prod-down_binary64_11402` `prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280`
4×	`add-log-exp_binary64_11370`
3×	`*-commutative_binary64_11262` `sqrt-pow1_binary64_11349` `rem-sqrt-square_binary64_11344`
2×	`sqrt-div_binary64_11348` `div-inv_binary64_11328` `flip3-+_binary64_11334` `flip-+_binary64_11305`
1×	`difference-of-sqr--1_binary64_11302` `distribute-lft-out_binary64_11282` `pow1/2_binary64_11411` `inv-pow_binary64_11416` `pow-flip_binary64_11405`

Counts

4 → 115

Calls

4 calls:

11.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
8.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
8.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
3.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 2496 to 1841 computations (26.2% saved)

series275.0ms (3.6%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

121.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
90.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
22.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
22.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 1142 to 905 computations (20.8% saved)

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4981	1541
1	4981	1541

prune189.0ms (2.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	140	9	149

Error

0.0b

Counts

149 → 9

Compiler

Compiled 2777 to 2045 computations (26.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite172.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64_11353`
25×	`*-un-lft-identity_binary64_11331`
23×	`add-cube-cbrt_binary64_11366`
18×	`times-frac_binary64_11337`
16×	`sqrt-prod_binary64_11347`
13×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
11×	`pow1_binary64_11392`
10×	`associate-*r/_binary64_11273`
9×	`distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280` `associate-l_binary64_11272`
6×	`add-log-exp_binary64_11370` `associate-/r_binary64_11275` `associate-r*_binary64_11271`
4×	`pow-prod-down_binary64_11402` `prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `flip3-+_binary64_11334` `flip-+_binary64_11305` `associate-+r+_binary64_11263`
3×	`associate-/l*_binary64_11276`
2×	`*-commutative_binary64_11262` `unswap-sqr_binary64_11299` `frac-add_binary64_11339`
1×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365` `frac-2neg_binary64_11342` `clear-num_binary64_11330` `div-inv_binary64_11328` `difference-of-sqr--1_binary64_11302` `distribute-lft-out_binary64_11282` `sum-log_binary64_11422` `+-commutative_binary64_11261`

Counts

4 → 108

Calls

4 calls:

14.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
14.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
11.0ms	(+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))))
8.0ms	(/.f64 1/3 (sqrt.f64 x))

Compiler

Compiled 2254 to 1419 computations (37% saved)

series441.0ms (5.8%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

190.0ms	(+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))))
101.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
92.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
20.0ms	(/.f64 1/3 (sqrt.f64 x))

Compiler

Compiled 1251 to 929 computations (25.7% saved)

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5005	1920

prune168.0ms (2.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	138	9	147

Error

Counts

147 → 9

Compiler

Compiled 2543 to 1640 computations (35.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite168.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`*-un-lft-identity_binary64_11331`
21×	`add-sqr-sqrt_binary64_11353`
17×	`add-cube-cbrt_binary64_11366`
13×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
11×	`pow1_binary64_11392`
9×	`add-log-exp_binary64_11370` `times-frac_binary64_11337` `associate-l_binary64_11272`
6×	`associate-r/_binary64_11273` `associate-r*_binary64_11271`
5×	`distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280`
4×	`pow-prod-down_binary64_11402` `prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `sqrt-prod_binary64_11347` `distribute-lft-out_binary64_11282` `associate-+r+_binary64_11263`
3×	`associate-/l_binary64_11276` `associate-/r_binary64_11275` `flip3-+_binary64_11334` `flip-+_binary64_11305` `cancel-sign-sub-inv_binary64_11297`
2×	`*-commutative_binary64_11262` `unswap-sqr_binary64_11299` `distribute-lft-out--_binary64_11283` `sum-log_binary64_11422`
1×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365` `frac-2neg_binary64_11342` `clear-num_binary64_11330` `div-inv_binary64_11328` `diff-log_binary64_11423` `associate-+r-_binary64_11265` `sub-neg_binary64_11324` `+-commutative_binary64_11261`

Counts

4 → 98

Calls

4 calls:

24.0ms	(*.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1)))
21.0ms	(+.f64 y (-.f64 (/.f64 1/9 x) 1))
15.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1))))
3.0ms	(/.f64 1/9 x)

Compiler

Compiled 1923 to 1328 computations (30.9% saved)

series403.0ms (5.3%)

Error

Counts

4 → 33

Calls

4 calls:

153.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1))))
109.0ms	(*.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1)))
97.0ms	(+.f64 y (-.f64 (/.f64 1/9 x) 1))
20.0ms	(/.f64 1/9 x)

Compiler

Compiled 1106 to 885 computations (20% saved)

simplify105.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4906	1796
1	4906	1796

prune120.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	131	9	140

Error

Counts

140 → 9

Compiler

Compiled 2060 to 1404 computations (31.8% saved)

regimes880.0ms (11.6%)

Accuracy

Total 0.4b remaining (98.9%)

Threshold costs 0.4b (98.9%)

Compiler

Compiled 5685 to 4991 computations (12.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	23
1	21	23

end0.0ms (0%)

sample2.9s (38.7%)

Algorithm

1×

intervals

Results

446.0ms	8000×	body	128	valid
8.0ms	139×	body	128	nan
3.0ms	65×	body	128	invalid

Compiler

Compiled 1871 to 1645 computations (12.1% saved)

Details

analyze324.0ms (4.3%)

sample24.0ms (0.3%)

simplify190.0ms (2.5%)

prune8.0ms (0.1%)

localize10.0ms (0.1%)

rewrite219.0ms (2.9%)

series302.0ms (4%)

simplify41.0ms (0.5%)

prune172.0ms (2.3%)

localize22.0ms (0.3%)

rewrite225.0ms (3%)

series275.0ms (3.6%)

simplify85.0ms (1.1%)

prune189.0ms (2.5%)

localize13.0ms (0.2%)

rewrite172.0ms (2.3%)

series441.0ms (5.8%)

simplify67.0ms (0.9%)

prune168.0ms (2.2%)

localize8.0ms (0.1%)

rewrite168.0ms (2.2%)

series403.0ms (5.3%)

simplify105.0ms (1.4%)

prune120.0ms (1.6%)

regimes880.0ms (11.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.9s (38.7%)

Profiling