Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample17.0ms (1%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify114.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4772	13
1	4772	13

prune3.0ms (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 16 to 14 computations (12.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite13.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`associate-/r*_binary64` `distribute-lft-out_binary64` `cosh-undef_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l*_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 50

Calls

2 calls:

7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series12.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify95.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4959	954
1	4959	954

prune34.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Merged error: 0b

Counts

57 → 3

Compiler

Compiled 807 to 340 computations (57.9% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
0.0b	(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)))
0.0b	(pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)

rewrite41.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`*-un-lft-identity_binary64` `times-frac_binary64`
62×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
54×	`cbrt-prod_binary64`
40×	`unpow-prod-down_binary64` `cube-prod_binary64`
17×	`distribute-lft-out_binary64` `cosh-undef_binary64`
16×	`associate-/r*_binary64`
10×	`add-exp-log_binary64`
8×	`sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
7×	`add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `cube-div_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `associate-/l*_binary64` `div-exp_binary64`
2×	`pow-to-exp_binary64` `div-inv_binary64` `pow-exp_binary64`
1×	`cbrt-div_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 188

Calls

4 calls:

12.0ms	(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
9.0ms	(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)))
7.0ms	(pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series41.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
9.0ms	(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)))
9.0ms	(pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify77.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5312	4616

prune133.0ms (7.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	200	3	203

Merged error: 0b

Counts

203 → 3

Compiler

Compiled 3620 to 1941 computations (46.4% saved)

localize12.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
0.0b	(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
0.0b	(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
0.0b	(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))

rewrite55.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

171×	`cbrt-prod_binary64`
135×	`*-un-lft-identity_binary64`
123×	`times-frac_binary64`
99×	`add-sqr-sqrt_binary64`
75×	`add-cube-cbrt_binary64`
30×	`swap-sqr_binary64`
27×	`distribute-lft-out_binary64`
24×	`associate-r_binary64` `associate-l_binary64`
21×	`cosh-undef_binary64`
14×	`associate-/r/_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 198

Calls

4 calls:

25.0ms	(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
7.0ms	(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
7.0ms	(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
6.0ms	(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))

series146.0ms (8.6%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
36.0ms	(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
31.0ms	(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
30.0ms	(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))

simplify145.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4893	6511
1	4893	6511

prune216.0ms (12.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	210	3	213

Merged error: 0b

Counts

213 → 3

Compiler

Compiled 7850 to 3521 computations (55.1% saved)

regimes44.0ms (2.6%)

Compiler: Compiled 174 to 125 computations (28.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms (0%)

sample480.0ms (28.3%)

Algorithm

1×

intervals

Results

229.0ms

8000×

body

valid

Compiler

Compiled 65 to 49 computations (24.6% saved)

Details

analyze1.0ms (0.1%)

sample17.0ms (1%)

simplify114.0ms (6.7%)

prune3.0ms (0.2%)

localize6.0ms (0.3%)

rewrite13.0ms (0.8%)

series12.0ms (0.7%)

simplify95.0ms (5.6%)

prune34.0ms (2%)

localize9.0ms (0.5%)

rewrite41.0ms (2.4%)

series41.0ms (2.4%)

simplify77.0ms (4.5%)

prune133.0ms (7.8%)

localize12.0ms (0.7%)

rewrite55.0ms (3.3%)

series146.0ms (8.6%)

simplify145.0ms (8.6%)

prune216.0ms (12.7%)

regimes44.0ms (2.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample480.0ms (28.3%)

Profiling