Details

analyze3.0ms (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)

sample16.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify12.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune3.0ms (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 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`
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:

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

series6.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

4.0ms	(+.f64 (*.f64 841/108 x) 4/29)
2.0ms	(*.f64 841/108 x)

simplify115.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4839	275
1	4839	275

prune30.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Merged error: 0b

Counts

36 → 5

Compiler

Compiled 342 to 287 computations (16.1% saved)

localize5.0ms (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)))

rewrite22.0ms (1.3%)

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

series21.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

9.0ms	(+.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)))
4.0ms	(*.f64 x (sqrt.f64 841/108))

simplify86.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4906	511
1	4906	511

prune42.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	63	5	68

Merged error: 0b

Counts

68 → 5

Compiler

Compiled 713 to 624 computations (12.5% saved)

localize6.0ms (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))

rewrite34.0ms (2.1%)

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:

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

series27.0ms (1.7%)

Counts

4 → 10

Calls

4 calls:

12.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
10.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
5.0ms	(*.f64 x (cbrt.f64 841/108))
0.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

simplify99.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4877	856
1	4877	856

prune122.0ms (7.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	105	5	110

Merged error: 0b

Counts

110 → 5

Compiler

Compiled 1385 to 1254 computations (9.5% saved)

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x)))
0.6b	(cbrt.f64 (*.f64 841/108 x))
0.6b	(cbrt.f64 (*.f64 841/108 x))
0.6b	(cbrt.f64 (*.f64 841/108 x))

rewrite23.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x)))
4.0ms	(cbrt.f64 (*.f64 841/108 x))
4.0ms	(cbrt.f64 (*.f64 841/108 x))
4.0ms	(cbrt.f64 (*.f64 841/108 x))

series126.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x)))
32.0ms	(cbrt.f64 (*.f64 841/108 x))
30.0ms	(cbrt.f64 (*.f64 841/108 x))
23.0ms	(cbrt.f64 (*.f64 841/108 x))

simplify130.0ms (8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5001	556

prune81.0ms (5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	70	5	75

Merged error: 0b

Counts

75 → 5

Compiler

Compiled 1217 to 996 computations (18.2% saved)

regimes32.0ms (2%)

Compiler: Compiled 51 to 49 computations (3.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample545.0ms (33.8%)

Algorithm

1×

intervals

Results

238.0ms	7997×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid

Compiler

Compiled 64 to 63 computations (1.6% saved)

Details

analyze3.0ms (0.2%)

sample16.0ms (1%)

simplify12.0ms (0.7%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

rewrite9.0ms (0.5%)

series6.0ms (0.4%)

simplify115.0ms (7.1%)

prune30.0ms (1.9%)

localize5.0ms (0.3%)

rewrite22.0ms (1.3%)

series21.0ms (1.3%)

simplify86.0ms (5.3%)

prune42.0ms (2.6%)

localize6.0ms (0.4%)

rewrite34.0ms (2.1%)

series27.0ms (1.7%)

simplify99.0ms (6.1%)

prune122.0ms (7.6%)

localize11.0ms (0.7%)

rewrite23.0ms (1.4%)

series126.0ms (7.8%)

simplify130.0ms (8%)

prune81.0ms (5%)

regimes32.0ms (2%)

bsearch0.0ms (0%)

simplify6.0ms (0.3%)

end0.0ms (0%)

sample545.0ms (33.8%)

Profiling