Details

analyze418.0ms (6.1%)

Algorithm

2×	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%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14
46.2%	1.8%	52%	14

Compiler

Compiled 30 to 28 computations (6.7% saved)

sample445.0ms (6.5%)

Algorithm

2×

intervals

Results

25.0ms	576×	body	128	nan
25.0ms	512×	body	128	valid
2.0ms	45×	body	128	invalid

Compiler

Compiled 8729 to 9309 computations (-6.6% saved)

simplify142.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

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

0.3b

Counts

2 → 2

Compiler

Compiled 38 to 35 computations (7.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite184.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`*-un-lft-identity_binary64_12013`
22×	`add-exp-log_binary64_12051`
20×	`add-sqr-sqrt_binary64_12035`
16×	`add-cbrt-cube_binary64_12049`
15×	`associate-r_binary64_11953`
14×	`pow1_binary64_12074`
12×	`add-cube-cbrt_binary64_12048`
7×	`prod-exp_binary64_12062`
6×	`add-log-exp_binary64_12052` `cancel-sign-sub-inv_binary64_11979`
5×	`pow-prod-down_binary64_12084` `cbrt-unprod_binary64_12046` `distribute-rgt-in_binary64_11963` `distribute-lft-in_binary64_11962`
4×	`sqrt-prod_binary64_12029` `associate-l_binary64_11954` `distribute-lft-out_binary64_11964` `div-exp_binary64_12064`
3×	`distribute-lft-out--_binary64_11965` `div-inv_binary64_12010` `times-frac_binary64_12019` `associate-/l*_binary64_11958`
2×	`unswap-sqr_binary64_11981` `-commutative_binary64_11944` `sub-neg_binary64_12006` `associate--l+_binary64_11950` `associate-r/_binary64_11955` `difference-of-squares_binary64_11982` `pow-flip_binary64_12087` `1-exp_binary64_12057` `rec-exp_binary64_12063` `cbrt-undiv_binary64_12047`
1×	`flip3--_binary64_12017` `flip--_binary64_11988` `difference-of-sqr-1_binary64_11983` `inv-pow_binary64_12098` `frac-2neg_binary64_12024` `clear-num_binary64_12012` `associate-/r*_binary64_11957` `sum-log_binary64_12104` `flip3-+_binary64_12016` `flip-+_binary64_11987` `+-commutative_binary64_11943`

Counts

4 → 99

Calls

4 calls:

14.0ms	(.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)

series359.0ms (5.3%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

189.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
103.0ms	(+.f64 y (/.f64 1 (*.f64 x 9)))
22.0ms	(*.f64 3 (sqrt.f64 x))
21.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 956 to 796 computations (16.7% saved)

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4922	1421
1	4922	1421

prune160.0ms (2.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	115	11	126
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	117	11	128

Error

Counts

128 → 11

Compiler

Compiled 2277 to 1653 computations (27.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite187.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`add-sqr-sqrt_binary64_12035`
33×	`sqrt-prod_binary64_12029`
28×	`*-un-lft-identity_binary64_12013`
24×	`add-cube-cbrt_binary64_12048`
22×	`times-frac_binary64_12019` `associate-r_binary64_11953`
15×	`pow1_binary64_12074`
13×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
12×	`associate-l_binary64_11954`
7×	`associate-*r/_binary64_11955`
6×	`unswap-sqr_binary64_11981`
5×	`pow-prod-down_binary64_12084` `prod-exp_binary64_12062` `cbrt-unprod_binary64_12046` `distribute-rgt-in_binary64_11963` `distribute-lft-in_binary64_11962`
4×	`add-log-exp_binary64_12052`
3×	`*-commutative_binary64_11944` `sqrt-pow1_binary64_12031` `rem-sqrt-square_binary64_12026`
2×	`sqrt-div_binary64_12030` `div-inv_binary64_12010` `flip3-+_binary64_12016` `flip-+_binary64_11987`
1×	`pow1/2_binary64_12093` `inv-pow_binary64_12098` `pow-flip_binary64_12087` `difference-of-sqr--1_binary64_11984` `distribute-lft-out_binary64_11964`

Counts

4 → 115

Calls

4 calls:

10.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
9.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
9.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
3.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 2496 to 1841 computations (26.2% saved)

series303.0ms (4.4%)

Error

Counts

4 → 24

Calls

4 calls:

137.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
105.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
23.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
17.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 1142 to 905 computations (20.8% saved)

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4981	1541
1	4981	1541

prune180.0ms (2.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	141	9	150

Error

Counts

150 → 9

Compiler

Compiled 2805 to 2065 computations (26.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite147.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

39×	`add-sqr-sqrt_binary64_12035`
33×	`sqrt-prod_binary64_12029`
24×	`*-un-lft-identity_binary64_12013`
22×	`add-cube-cbrt_binary64_12048` `times-frac_binary64_12019`
19×	`associate-r_binary64_11953`
9×	`pow1_binary64_12074` `associate-l_binary64_11954`
7×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
6×	`unswap-sqr_binary64_11981`
3×	`add-log-exp_binary64_12052` `associate-*r/_binary64_11955` `sqrt-pow1_binary64_12031` `rem-sqrt-square_binary64_12026`
2×	`pow-prod-down_binary64_12084` `prod-exp_binary64_12062` `cbrt-unprod_binary64_12046` `sqrt-div_binary64_12030` `div-inv_binary64_12010` `*-commutative_binary64_11944`
1×	`distribute-rgt-in_binary64_11963` `distribute-lft-in_binary64_11962` `flip3-+_binary64_12016` `flip-+_binary64_11987` `pow1/2_binary64_12093` `inv-pow_binary64_12098` `pow-flip_binary64_12087`

Counts

3 → 89

Calls

3 calls:

9.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
7.0ms	(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
3.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 1967 to 1468 computations (25.4% saved)

series194.0ms (2.8%)

Error

Counts

3 → 15

Calls

3 calls:

141.0ms	(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
24.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
16.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 740 to 601 computations (18.8% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4908	1209
1	4908	1209

prune141.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	104	9	113

Error

Counts

113 → 9

Compiler

Compiled 2191 to 1625 computations (25.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.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))

rewrite131.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64_12035`
24×	`*-un-lft-identity_binary64_12013`
22×	`add-cube-cbrt_binary64_12048`
18×	`times-frac_binary64_12019`
16×	`sqrt-prod_binary64_12029`
12×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
10×	`pow1_binary64_12074`
9×	`associate-l_binary64_11954`
6×	`associate-/r_binary64_11957` `associate-r/_binary64_11955` `associate-r_binary64_11953`
5×	`distribute-rgt-in_binary64_11963` `distribute-lft-in_binary64_11962`
4×	`pow-prod-down_binary64_12084` `prod-exp_binary64_12062` `cbrt-unprod_binary64_12046`
3×	`add-log-exp_binary64_12052` `associate-/l*_binary64_11958`
2×	`flip3-+_binary64_12016` `flip-+_binary64_11987` `*-commutative_binary64_11944` `unswap-sqr_binary64_11981`
1×	`div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `frac-2neg_binary64_12024` `clear-num_binary64_12012` `div-inv_binary64_12010` `difference-of-sqr--1_binary64_11984` `distribute-lft-out_binary64_11964`

Counts

3 → 91

Calls

3 calls:

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

Compiler

Compiled 1806 to 1134 computations (37.2% saved)

series278.0ms (4.1%)

Error

Counts

3 → 21

Calls

3 calls:

132.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
107.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
23.0ms	(/.f64 1/3 (sqrt.f64 x))

Compiler

Compiled 892 to 649 computations (27.2% saved)

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5038	1346

prune122.0ms (1.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	112	9	121

Error

Counts

121 → 9

Compiler

Compiled 1913 to 1193 computations (37.6% saved)

regimes476.0ms (7%)

Accuracy

Total 0.4b remaining (97.8%)

Threshold costs 0.4b (97.8%)

Compiler

Compiled 4596 to 4016 computations (12.6% 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%)

sample2.7s (39.1%)

Algorithm

1×

intervals

Results

367.0ms	8522×	body	128	nan
354.0ms	8000×	body	128	valid
31.0ms	557×	body	128	invalid

Compiler

Compiled 1508 to 1320 computations (12.5% saved)

Details

analyze418.0ms (6.1%)

sample445.0ms (6.5%)

simplify142.0ms (2.1%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite184.0ms (2.7%)

series359.0ms (5.3%)

simplify40.0ms (0.6%)

prune160.0ms (2.3%)

localize11.0ms (0.2%)

rewrite187.0ms (2.7%)

series303.0ms (4.4%)

simplify65.0ms (0.9%)

prune180.0ms (2.6%)

localize10.0ms (0.2%)

rewrite147.0ms (2.2%)

series194.0ms (2.8%)

simplify78.0ms (1.1%)

prune141.0ms (2.1%)

localize8.0ms (0.1%)

rewrite131.0ms (1.9%)

series278.0ms (4.1%)

simplify63.0ms (0.9%)

prune122.0ms (1.8%)

regimes476.0ms (7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (39.1%)

Profiling