Details

analyze4.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	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
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample16.0ms (0.9%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

valid

simplify120.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	5036	17

prune4.0ms (0.3%)

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

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) x)
0.0b	(+.f64 0.99229 (*.f64 x 0.04481))
0.1b	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
12.1b	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))

rewrite30.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`flip3-+_binary64` `flip-+_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `difference-of-squares_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

11.0ms	(-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) x)
7.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
6.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
3.0ms	(+.f64 0.99229 (*.f64 x 0.04481))

series31.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) x)
8.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
7.0ms	(+.f64 0.99229 (*.f64 x 0.04481))
6.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))

simplify58.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5237	1454

prune133.0ms (8.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	3	91

Merged error: 0b

Counts

91 → 3

localize14.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
0.1b	(pow.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) 3)
12.1b	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
20.4b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) 3))

rewrite36.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
45×	`times-frac_binary64`
44×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
36×	`cbrt-prod_binary64`
30×	`unpow-prod-down_binary64` `cube-prod_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-/r/_binary64`
7×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
5×	`div-inv_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `pow-prod-down_binary64` `rem-cbrt-cube_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `pow-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 149

Calls

4 calls:

9.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) 3))
8.0ms	(pow.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) 3)
8.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
6.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))

series29.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
8.0ms	(pow.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) 3)
6.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) 3))
6.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))

simplify49.0ms (3%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5036	3519

prune294.0ms (17.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	161	3	164

Merged error: 0b

Counts

164 → 3

localize14.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) x) 3)
0.1b	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
12.1b	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
20.7b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) x) 3))

rewrite44.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
18×	`cbrt-prod_binary64`
13×	`times-frac_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64`
7×	`pow1_binary64`
4×	`add-log-exp_binary64` `cube-div_binary64` `distribute-lft-out--_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `associate-/r_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `rem-cbrt-cube_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `pow-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 113

Calls

4 calls:

14.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) x) 3)
13.0ms	(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) x) 3))
7.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
6.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))

series34.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) x) 3)
9.0ms	(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) x) 3))
8.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
6.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))

simplify38.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5879	2669

prune207.0ms (12.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	125	3	128

Merged error: 0b

Counts

128 → 3

regimes57.0ms (3.4%)

Accuracy

Total 0.0b remaining (33.7%)

Threshold costs 0.0b (33.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	17
1	30	17

end0.0ms (0%)

sample419.0ms (25.5%)

Algorithm

1×

intervals

Results

327.0ms

8000×

body

valid

Details

analyze4.0ms (0.3%)

sample16.0ms (0.9%)

simplify120.0ms (7.3%)

prune4.0ms (0.3%)

localize11.0ms (0.7%)

rewrite30.0ms (1.8%)

series31.0ms (1.9%)

simplify58.0ms (3.5%)

prune133.0ms (8.1%)

localize14.0ms (0.9%)

rewrite36.0ms (2.2%)

series29.0ms (1.7%)

simplify49.0ms (3%)

prune294.0ms (17.9%)

localize14.0ms (0.9%)

rewrite44.0ms (2.7%)

series34.0ms (2.1%)

simplify38.0ms (2.3%)

prune207.0ms (12.6%)

regimes57.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample419.0ms (25.5%)

Profiling