Details

analyze95.0ms (5.1%)

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)

sample16.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify7.0ms (0.4%)

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 (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

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

series33.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

21.0ms	(+.f64 (*.f64 841/108 x) 4/29)
12.0ms	(*.f64 841/108 x)

simplify77.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5087	275

prune31.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Error

0.0b

Counts

36 → 4

Compiler

Compiled 335 to 280 computations (16.4% saved)

localize6.0ms (0.3%)

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)))

rewrite23.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

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×	`prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `cbrt-unprod_binary64_9659`
2×	`*-commutative_binary64_9557` `unswap-sqr_binary64_9594`
1×	`+-commutative_binary64_9556` `flip-+_binary64_9600` `sum-log_binary64_9717` `flip3-+_binary64_9629`

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))

series111.0ms (5.9%)

Counts

3 → 9

Calls

3 calls:

47.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
39.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))
24.0ms	(*.f64 x (sqrt.f64 841/108))

simplify47.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4946	511
1	4946	511

prune55.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	63	4	67

Error

Counts

67 → 4

Compiler

Compiled 718 to 629 computations (12.4% saved)

localize7.0ms (0.4%)

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))

rewrite40.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_9648`
25×	`pow1_binary64_9687`
20×	`cbrt-prod_binary64_9657` `add-exp-log_binary64_9664`
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×	`associate-l_binary64_9567` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659`
6×	`swap-sqr_binary64_9593` `add-log-exp_binary64_9665` `pow1/3_binary64_9708` `unswap-sqr_binary64_9594`
3×	`*-commutative_binary64_9557`
2×	`pow-prod-up_binary64_9696` `pow-sqr_binary64_9599`
1×	`pow2_binary64_9707` `pow-plus_binary64_9689` `+-commutative_binary64_9556` `flip-+_binary64_9600` `sum-log_binary64_9717` `flip3-+_binary64_9629`

Counts

4 → 95

Calls

4 calls:

11.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
10.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
7.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))
6.0ms	(*.f64 x (cbrt.f64 841/108))

series146.0ms (7.8%)

Counts

4 → 10

Calls

4 calls:

61.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
52.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
32.0ms	(*.f64 x (cbrt.f64 841/108))
0.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

simplify55.0ms (3%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4876	847
1	4876	847

prune99.0ms (5.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	105	4	109

Error

Counts

109 → 4

Compiler

Compiled 1383 to 1252 computations (9.5% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))) 4/29)

0.3b

(*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2)))

0.6b

(*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))

rewrite31.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_9664`
17×	`add-sqr-sqrt_binary64_9648`
13×	`sqrt-prod_binary64_9642`
12×	`associate-l_binary64_9567`
11×	`associate-r_binary64_9566`
10×	`add-cube-cbrt_binary64_9661` `prod-exp_binary64_9675` `*-un-lft-identity_binary64_9626` `add-cbrt-cube_binary64_9662`
8×	`unpow-prod-down_binary64_9705`
5×	`add-log-exp_binary64_9665` `pow1_binary64_9687`
4×	`unswap-sqr_binary64_9594` `cbrt-unprod_binary64_9659`
2×	`sqr-pow_binary64_9598` `*-commutative_binary64_9557` `pow-to-exp_binary64_9695` `pow-exp_binary64_9694`
1×	`+-commutative_binary64_9556` `pow-prod-down_binary64_9697` `flip-+_binary64_9600` `sum-log_binary64_9717` `flip3-+_binary64_9629`

Counts

3 → 65

Calls

3 calls:

10.0ms

(*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2)))

9.0ms

(+.f64 (*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))) 4/29)

7.0ms

(*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))

series162.0ms (8.7%)

Counts

3 → 9

Calls

3 calls:

77.0ms

(*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))

45.0ms

(+.f64 (*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))) 4/29)

38.0ms

(*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2)))

simplify109.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5012	761

prune70.0ms (3.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	74	4	78

Error

Counts

78 → 4

Compiler

Compiled 998 to 891 computations (10.7% saved)

regimes69.0ms (3.7%)

Accuracy

Total 0.1b remaining (95.6%)

Threshold costs 0.1b (95.6%)

Compiler

Compiled 426 to 417 computations (2.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms (0%)

sample549.0ms (29.5%)

Algorithm

1×

intervals

Results

217.0ms	7996×	body	128	valid
0.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 147 to 145 computations (1.4% saved)

Details

analyze95.0ms (5.1%)

sample16.0ms (0.9%)

simplify7.0ms (0.4%)

prune3.0ms (0.1%)

localize3.0ms (0.2%)

rewrite9.0ms (0.5%)

series33.0ms (1.8%)

simplify77.0ms (4.1%)

prune31.0ms (1.6%)

localize6.0ms (0.3%)

rewrite23.0ms (1.2%)

series111.0ms (5.9%)

simplify47.0ms (2.5%)

prune55.0ms (3%)

localize7.0ms (0.4%)

rewrite40.0ms (2.1%)

series146.0ms (7.8%)

simplify55.0ms (3%)

prune99.0ms (5.3%)

localize9.0ms (0.5%)

rewrite31.0ms (1.7%)

series162.0ms (8.7%)

simplify109.0ms (5.9%)

prune70.0ms (3.7%)

regimes69.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample549.0ms (29.5%)

Profiling