Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 6 to 6 computations (0% saved)

sample13.0ms (1.1%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify94.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x 16) 116)

rewrite8.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_8262`
12×	`times-frac_binary64_8268`
10×	`add-sqr-sqrt_binary64_8284` `add-cube-cbrt_binary64_8297`
4×	`associate-/l*_binary64_8207` `distribute-lft-out_binary64_8213`
3×	`associate-/r*_binary64_8206` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
2×	`associate-/l/_binary64_8209`
1×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `pow1_binary64_8323` `frac-2neg_binary64_8273` `div-inv_binary64_8259` `add-log-exp_binary64_8301` `clear-num_binary64_8261` `cbrt-undiv_binary64_8296` `div-exp_binary64_8313`

Counts

1 → 33

Calls

1 calls:

6.0ms

(/.f64 (+.f64 x 16) 116)

series31.0ms (2.7%)

Counts

1 → 6

Calls

1 calls:

31.0ms

(/.f64 (+.f64 x 16) 116)

Compiler

Compiled 45 to 46 computations (-2.2% saved)

simplify64.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4772	454
1	4772	454

prune31.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0b

Counts

40 → 3

Compiler

Compiled 399 to 343 computations (14% saved)

localize3.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 4/29 (*.f64 x 1/116))
0.0b	(*.f64 x 1/116)

rewrite8.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_8284`
4×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `add-log-exp_binary64_8301` `add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
3×	`associate-l_binary64_8203` `associate-r_binary64_8202`
1×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `prod-exp_binary64_8311` `+-commutative_binary64_8192` `unswap-sqr_binary64_8230` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333` `sum-log_binary64_8353` `*-commutative_binary64_8193`

Counts

2 → 29

Calls

2 calls:

4.0ms	(*.f64 x 1/116)
3.0ms	(+.f64 4/29 (*.f64 x 1/116))

series46.0ms (4%)

Counts

2 → 9

Calls

2 calls:

29.0ms	(+.f64 4/29 (*.f64 x 1/116))
17.0ms	(*.f64 x 1/116)

Compiler

Compiled 75 to 76 computations (-1.3% saved)

simplify70.0ms (6%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4732	284
1	4732	284

prune23.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	38	3	41

Merged error: 0b

Counts

41 → 3

Compiler

Compiled 312 to 257 computations (17.6% saved)

localize4.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 116 (+.f64 x 16))
0.1b	(/.f64 1 (/.f64 116 (+.f64 x 16)))

rewrite28.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac_binary64_8268`
94×	`*-un-lft-identity_binary64_8262`
62×	`add-sqr-sqrt_binary64_8284` `add-cube-cbrt_binary64_8297`
22×	`associate-/r*_binary64_8206`
16×	`distribute-lft-out_binary64_8213`
15×	`add-exp-log_binary64_8300`
11×	`associate-/r/_binary64_8208`
9×	`add-cbrt-cube_binary64_8298`
8×	`div-exp_binary64_8313`
6×	`associate-/l*_binary64_8207` `div-inv_binary64_8259`
5×	`flip-+_binary64_8236` `flip3-+_binary64_8265`
4×	`cbrt-undiv_binary64_8296`
3×	`pow1_binary64_8323`
2×	`frac-2neg_binary64_8273` `1-exp_binary64_8306` `rec-exp_binary64_8312` `add-log-exp_binary64_8301` `clear-num_binary64_8261`
1×	`inv-pow_binary64_8347` `pow-flip_binary64_8336`

Counts

2 → 129

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 116 (+.f64 x 16)))
5.0ms	(/.f64 116 (+.f64 x 16))

series49.0ms (4.2%)

Counts

2 → 13

Calls

2 calls:

30.0ms	(/.f64 1 (/.f64 116 (+.f64 x 16)))
19.0ms	(/.f64 116 (+.f64 x 16))

Compiler

Compiled 138 to 133 computations (3.6% saved)

simplify71.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4915	2172
1	4915	2172

prune119.0ms (10.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	142	3	145

Merged error: 0b

Counts

145 → 3

Compiler

Compiled 1840 to 1603 computations (12.9% saved)

regimes59.0ms (5%)

Compiler: Compiled 291 to 282 computations (3.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample437.0ms (37.4%)

Algorithm

1×

intervals

Results

154.0ms

8000×

body

128

valid

Compiler

Compiled 102 to 100 computations (2% saved)

Details

analyze1.0ms (0.1%)

sample13.0ms (1.1%)

simplify94.0ms (8%)

prune2.0ms (0.2%)

localize3.0ms (0.3%)

rewrite8.0ms (0.7%)

series31.0ms (2.7%)

simplify64.0ms (5.5%)

prune31.0ms (2.7%)

localize3.0ms (0.3%)

rewrite8.0ms (0.7%)

series46.0ms (4%)

simplify70.0ms (6%)

prune23.0ms (1.9%)

localize4.0ms (0.4%)

rewrite28.0ms (2.4%)

series49.0ms (4.2%)

simplify71.0ms (6.1%)

prune119.0ms (10.2%)

regimes59.0ms (5%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample437.0ms (37.4%)

Profiling