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 (0.7%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify176.0ms (10.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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 10 to 10 computations (0% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite11.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_11219`
4×	`add-exp-log_binary64_11233` `add-log-exp_binary64_11234` `add-cbrt-cube_binary64_11231` `add-cube-cbrt_binary64_11230` `pow1_binary64_11256` `*-un-lft-identity_binary64_11198`
3×	`associate-r_binary64_11140` `associate-l_binary64_11141`
1×	`+-commutative_binary64_11130` `prod-exp_binary64_11244` `sum-log_binary64_11286` `pow-prod-down_binary64_11266` `flip3-+_binary64_11201` `unswap-sqr_binary64_11166` `cbrt-unprod_binary64_11228` `flip-+_binary64_11172` `*-commutative_binary64_11131`

Counts

2 → 29

Calls

2 calls:

5.0ms	(+.f64 (*.f64 841/108 x) 4/29)
4.0ms	(*.f64 841/108 x)

series64.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

40.0ms	(+.f64 (*.f64 841/108 x) 4/29)
24.0ms	(*.f64 841/108 x)

simplify93.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5181	275

prune31.0ms (1.9%)

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: 0b

Counts

36 → 3

Compiler

Compiled 319 to 266 computations (16.6% 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)))

rewrite27.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_11219`
10×	`add-exp-log_binary64_11233` `add-cbrt-cube_binary64_11231` `pow1_binary64_11256`
9×	`associate-l_binary64_11141`
8×	`add-cube-cbrt_binary64_11230` `*-un-lft-identity_binary64_11198`
7×	`associate-r_binary64_11140` `sqrt-prod_binary64_11213`
5×	`add-log-exp_binary64_11234`
4×	`prod-exp_binary64_11244` `pow-prod-down_binary64_11266` `cbrt-unprod_binary64_11228`
2×	`unswap-sqr_binary64_11166` `*-commutative_binary64_11131`
1×	`+-commutative_binary64_11130` `sum-log_binary64_11286` `flip3-+_binary64_11201` `flip-+_binary64_11172`

Counts

3 → 54

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)))
6.0ms	(*.f64 x (sqrt.f64 841/108))

series220.0ms (13.3%)

Counts

3 → 9

Calls

3 calls:

91.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
80.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))
50.0ms	(*.f64 x (sqrt.f64 841/108))

simplify46.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5021	511

prune50.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	63	3	66

Merged error: 0b

Counts

66 → 3

Compiler

Compiled 690 to 603 computations (12.6% saved)

localize8.0ms (0.5%)

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))

rewrite47.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_11219`
25×	`pow1_binary64_11256`
20×	`add-exp-log_binary64_11233` `cbrt-prod_binary64_11226`
15×	`add-cube-cbrt_binary64_11230` `*-un-lft-identity_binary64_11198`
13×	`associate-r_binary64_11140`
11×	`add-cbrt-cube_binary64_11231` `pow-prod-down_binary64_11266`
10×	`prod-exp_binary64_11244` `associate-l_binary64_11141` `cbrt-unprod_binary64_11228`
6×	`swap-sqr_binary64_11165` `add-log-exp_binary64_11234` `pow1/3_binary64_11277` `unswap-sqr_binary64_11166`
3×	`*-commutative_binary64_11131`
2×	`pow-prod-up_binary64_11265` `pow-sqr_binary64_11171`
1×	`+-commutative_binary64_11130` `pow2_binary64_11276` `pow-plus_binary64_11258` `sum-log_binary64_11286` `flip3-+_binary64_11201` `flip-+_binary64_11172`

Counts

4 → 95

Calls

4 calls:

13.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
12.0ms	(.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))

series261.0ms (15.8%)

Counts

4 → 10

Calls

4 calls:

120.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
98.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
43.0ms	(*.f64 x (cbrt.f64 841/108))
0.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

simplify72.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4862	847
1	4862	847

prune102.0ms (6.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	105	3	108

Merged error: 0b

Counts

108 → 3

Compiler

Compiled 1355 to 1226 computations (9.5% saved)

regimes9.0ms (0.5%)

Compiler: Compiled 28 to 28 computations (0% 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%)

sample405.0ms (24.5%)

Algorithm

1×

intervals

Results

226.0ms	7998×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 41 to 42 computations (-2.4% saved)

Details

analyze4.0ms (0.2%)

sample12.0ms (0.7%)

simplify176.0ms (10.6%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

rewrite11.0ms (0.7%)

series64.0ms (3.9%)

simplify93.0ms (5.6%)

prune31.0ms (1.9%)

localize6.0ms (0.3%)

rewrite27.0ms (1.6%)

series220.0ms (13.3%)

simplify46.0ms (2.8%)

prune50.0ms (3%)

localize8.0ms (0.5%)

rewrite47.0ms (2.9%)

series261.0ms (15.8%)

simplify72.0ms (4.3%)

prune102.0ms (6.1%)

regimes9.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample405.0ms (24.5%)

Profiling