Details

analyze96.0ms (3.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.1%	0.1%	12
99.8%	0%	0.1%	13
99.8%	0%	0.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample19.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	255×	body	128	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 841/108 x) 4/29)
0.1b	(*.f64 841/108 x)

rewrite33.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_9648`
4×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `add-log-exp_binary64_9665` `add-cbrt-cube_binary64_9662` `add-cube-cbrt_binary64_9661` `*-un-lft-identity_binary64_9626`
3×	`associate-l_binary64_9567` `associate-r_binary64_9566`
1×	`pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `unswap-sqr_binary64_9594` `*-commutative_binary64_9557` `sum-log_binary64_9717` `flip3-+_binary64_9629` `flip-+_binary64_9600` `+-commutative_binary64_9556`

Counts

2 → 29

Calls

2 calls:

4.0ms	(*.f64 841/108 x)
4.0ms	(+.f64 (*.f64 841/108 x) 4/29)

Compiler

Compiled 308 to 254 computations (17.5% saved)

series53.0ms (2.1%)

Error

0.1b

Counts

2 → 9

Calls

2 calls:

29.0ms	(+.f64 (*.f64 841/108 x) 4/29)
19.0ms	(*.f64 841/108 x)

Compiler

Compiled 104 to 98 computations (5.8% saved)

simplify79.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5087	284

prune33.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Error

0.0b

Counts

39 → 4

Compiler

Compiled 339 to 283 computations (16.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
0.2b	(*.f64 x (sqrt.f64 841/108))
0.3b	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))

rewrite81.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_9648`
10×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
9×	`associate-l_binary64_9567`
8×	`add-cube-cbrt_binary64_9661` `*-un-lft-identity_binary64_9626`
7×	`sqrt-prod_binary64_9642` `associate-r_binary64_9566`
5×	`add-log-exp_binary64_9665`
4×	`pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659`
2×	`*-commutative_binary64_9557` `unswap-sqr_binary64_9594`
1×	`sum-log_binary64_9717` `flip3-+_binary64_9629` `flip-+_binary64_9600` `+-commutative_binary64_9556`

Counts

3 → 54

Calls

3 calls:

7.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
7.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))
5.0ms	(*.f64 x (sqrt.f64 841/108))

Compiler

Compiled 856 to 762 computations (11% saved)

series153.0ms (6.1%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

60.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
54.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))
31.0ms	(*.f64 x (sqrt.f64 841/108))

Compiler

Compiled 251 to 242 computations (3.6% saved)

simplify53.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4946	520
1	4946	520

prune52.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	65	5	70

Error

Counts

70 → 5

Compiler

Compiled 721 to 631 computations (12.5% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
0.1b	(*.f64 x (cbrt.f64 841/108))
0.4b	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
1.0b	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

rewrite157.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64_9648`
25×	`pow1_binary64_9687`
20×	`add-exp-log_binary64_9664` `cbrt-prod_binary64_9657`
15×	`add-cube-cbrt_binary64_9661` `*-un-lft-identity_binary64_9626`
13×	`associate-r_binary64_9566`
11×	`pow-prod-down_binary64_9697` `add-cbrt-cube_binary64_9662`
10×	`prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `associate-l_binary64_9567`
6×	`pow1/3_binary64_9708` `add-log-exp_binary64_9665` `unswap-sqr_binary64_9594` `swap-sqr_binary64_9593`
3×	`*-commutative_binary64_9557`
2×	`pow-prod-up_binary64_9696` `pow-sqr_binary64_9599`
1×	`pow2_binary64_9707` `pow-plus_binary64_9689` `sum-log_binary64_9717` `flip3-+_binary64_9629` `flip-+_binary64_9600` `+-commutative_binary64_9556`

Counts

4 → 95

Calls

4 calls:

11.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
9.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
6.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))
5.0ms	(*.f64 x (cbrt.f64 841/108))

Compiler

Compiled 1763 to 1621 computations (8.1% saved)

series168.0ms (6.7%)

Error

Counts

4 → 12

Calls

4 calls:

66.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
61.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
29.0ms	(*.f64 x (cbrt.f64 841/108))
0.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

Compiler

Compiled 278 to 269 computations (3.2% saved)

simplify60.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4876	849
1	4876	849

prune103.0ms (4.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	107	5	112

Error

Counts

112 → 5

Compiler

Compiled 1381 to 1250 computations (9.5% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29))
0.1b	(*.f64 841/108 x)
0.1b	(*.f64 841/108 x)
0.1b	(.f64 (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))

rewrite170.0ms (6.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`add-sqr-sqrt_binary64_9648`
24×	`pow1_binary64_9687`
21×	`sqrt-prod_binary64_9642`
17×	`add-cube-cbrt_binary64_9661` `*-un-lft-identity_binary64_9626`
14×	`sqrt-div_binary64_9643`
12×	`associate-l_binary64_9567` `associate-r_binary64_9566`
10×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
9×	`pow1/2_binary64_9706` `sqrt-pow1_binary64_9644`
8×	`swap-sqr_binary64_9593`
7×	`flip3-+_binary64_9629` `flip-+_binary64_9600`
6×	`unswap-sqr_binary64_9594`
5×	`pow-prod-down_binary64_9697` `pow-prod-up_binary64_9696`
4×	`add-log-exp_binary64_9665` `frac-times_binary64_9636`
3×	`prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `rem-sqrt-square_binary64_9639` `pow-sqr_binary64_9599` `*-commutative_binary64_9557`
2×	`associate-l/_binary64_9569` `associate-r/_binary64_9568`
1×	`pow2_binary64_9707` `pow-plus_binary64_9689` `sqrt-unprod_binary64_9646` `sqr-abs_binary64_9641` `rem-square-sqrt_binary64_9638`

Counts

4 → 109

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))
4.0ms	(sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29))
4.0ms	(*.f64 841/108 x)
3.0ms	(*.f64 841/108 x)

Compiler

Compiled 2330 to 1993 computations (14.5% saved)

series101.0ms (4%)

Error

Counts

4 → 18

Calls

4 calls:

29.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))
23.0ms	(sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29))
20.0ms	(*.f64 841/108 x)
17.0ms	(*.f64 841/108 x)

Compiler

Compiled 545 to 491 computations (9.9% saved)

simplify87.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4900	1289
1	4900	1289

prune123.0ms (4.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	127	5	132

Error

Counts

132 → 5

Compiler

Compiled 1865 to 1583 computations (15.1% saved)

regimes127.0ms (5%)

Accuracy

Total 0.1b remaining (96%)

Threshold costs 0.1b (96%)

Compiler

Compiled 735 to 716 computations (2.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample738.0ms (29.3%)

Algorithm

1×

intervals

Results

219.0ms	7997×	body	128	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 234 to 228 computations (2.6% saved)

Details

analyze96.0ms (3.8%)

sample19.0ms (0.8%)

simplify7.0ms (0.3%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite33.0ms (1.3%)

series53.0ms (2.1%)

simplify79.0ms (3.1%)

prune33.0ms (1.3%)

localize6.0ms (0.2%)

rewrite81.0ms (3.2%)

series153.0ms (6.1%)

simplify53.0ms (2.1%)

prune52.0ms (2.1%)

localize7.0ms (0.3%)

rewrite157.0ms (6.2%)

series168.0ms (6.7%)

simplify60.0ms (2.4%)

prune103.0ms (4.1%)

localize7.0ms (0.3%)

rewrite170.0ms (6.7%)

series101.0ms (4%)

simplify87.0ms (3.5%)

prune123.0ms (4.9%)

regimes127.0ms (5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample738.0ms (29.3%)

Profiling