Details

analyze4.0ms (0.2%)

Algorithm

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)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

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

prune4.0ms (0.2%)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 24 to 24 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

8.0ms	(+.f64 (*.f64 841/108 x) 4/29)
4.0ms	(*.f64 841/108 x)

series66.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

41.0ms	(+.f64 (*.f64 841/108 x) 4/29)
25.0ms	(*.f64 841/108 x)

simplify77.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4915	275
1	4915	275

prune47.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Merged error: 0.0b

Counts

36 → 3

Compiler

Compiled 502 to 433 computations (13.7% 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)))

rewrite25.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64` `sqrt-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 54

Calls

3 calls:

8.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
8.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))
6.0ms	(*.f64 x (sqrt.f64 841/108))

series399.0ms (17.1%)

Counts

3 → 9

Calls

3 calls:

233.0ms	(*.f64 x (sqrt.f64 841/108))
88.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
77.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))

simplify43.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5139	511

prune55.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	4	66

Merged error: 0b

Counts

66 → 4

Compiler

Compiled 750 to 663 computations (11.6% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sqrt.f64 841/108) x)
0.3b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))) (.f64 (.f64 (sqrt.f64 841/108) x) (sqrt.f64 (cbrt.f64 841/108))))
0.5b	(.f64 (.f64 (sqrt.f64 841/108) x) (sqrt.f64 (cbrt.f64 841/108)))
1.0b	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

rewrite50.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64`
27×	`pow1_binary64`
22×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
19×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
17×	`associate-l_binary64`
12×	`pow-prod-down_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
6×	`swap-sqr_binary64` `pow1/3_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow-plus_binary64` `pow2_binary64`

Counts

4 → 108

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))) (.f64 (.f64 (sqrt.f64 841/108) x) (sqrt.f64 (cbrt.f64 841/108))))
9.0ms	(.f64 (.f64 (sqrt.f64 841/108) x) (sqrt.f64 (cbrt.f64 841/108)))
7.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))
6.0ms	(*.f64 (sqrt.f64 841/108) x)

series315.0ms (13.4%)

Counts

4 → 10

Calls

4 calls:

156.0ms	(.f64 (sqrt.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))) (.f64 (.f64 (sqrt.f64 841/108) x) (sqrt.f64 (cbrt.f64 841/108))))
112.0ms	(.f64 (.f64 (sqrt.f64 841/108) x) (sqrt.f64 (cbrt.f64 841/108)))
46.0ms	(*.f64 (sqrt.f64 841/108) x)
0.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

simplify78.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5030	1423

prune182.0ms (7.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	118	4	122

Merged error: 0b

Counts

122 → 4

Compiler

Compiled 2511 to 2373 computations (5.5% 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))

rewrite46.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
25×	`pow1_binary64`
20×	`add-exp-log_binary64` `cbrt-prod_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64`
11×	`pow-prod-down_binary64` `add-cbrt-cube_binary64`
10×	`cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64` `swap-sqr_binary64` `pow1/3_binary64` `unswap-sqr_binary64`
3×	`*-commutative_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64`
1×	`flip3-+_binary64` `pow-plus_binary64` `+-commutative_binary64` `flip-+_binary64` `pow2_binary64` `sum-log_binary64`

Counts

4 → 95

Calls

4 calls:

15.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
11.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
7.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))
5.0ms	(*.f64 x (cbrt.f64 841/108))

series251.0ms (10.7%)

Counts

4 → 10

Calls

4 calls:

114.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
90.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
47.0ms	(*.f64 x (cbrt.f64 841/108))
0.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

simplify79.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4858	847
1	4858	847

prune123.0ms (5.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	105	4	109

Merged error: 0b

Counts

109 → 4

Compiler

Compiled 1625 to 1496 computations (7.9% saved)

regimes12.0ms (0.5%)

Compiler: Compiled 45 to 45 computations (0% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample421.0ms (18%)

Algorithm

1×

intervals

Results

229.0ms	7995×	body	128	valid
0.0ms	3×	body	512	valid
0.0ms	2×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 58 to 59 computations (-1.7% saved)

Details

analyze4.0ms (0.2%)

sample12.0ms (0.5%)

simplify7.0ms (0.3%)

prune4.0ms (0.2%)

localize3.0ms (0.1%)

rewrite15.0ms (0.6%)

series66.0ms (2.8%)

simplify77.0ms (3.3%)

prune47.0ms (2%)

localize6.0ms (0.3%)

rewrite25.0ms (1.1%)

series399.0ms (17.1%)

simplify43.0ms (1.8%)

prune55.0ms (2.3%)

localize11.0ms (0.5%)

rewrite50.0ms (2.2%)

series315.0ms (13.4%)

simplify78.0ms (3.3%)

prune182.0ms (7.8%)

localize7.0ms (0.3%)

rewrite46.0ms (2%)

series251.0ms (10.7%)

simplify79.0ms (3.4%)

prune123.0ms (5.2%)

regimes12.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample421.0ms (18%)

Profiling