Details

analyze42.0ms (1.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 29 to 29 computations (0% saved)

simplify121.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	497	18
1	497	18

prune4.0ms (0.1%)

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: 0.2b

Counts

2 → 2

Compiler

Compiled 38 to 35 computations (7.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.3b	(/.f64 1 (*.f64 x 9))

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_11028` `*-un-lft-identity_binary64_10990`
21×	`add-sqr-sqrt_binary64_11012`
16×	`add-cbrt-cube_binary64_11026`
15×	`add-cube-cbrt_binary64_11025`
14×	`cancel-sign-sub-inv_binary64_10956`
12×	`times-frac_binary64_10996`
9×	`pow1_binary64_11051` `add-log-exp_binary64_11029`
8×	`associate--l+_binary64_10927`
6×	`associate-r_binary64_10930` `associate-/l*_binary64_10935` `div-exp_binary64_11041`
5×	`prod-exp_binary64_11039` `distribute-lft-out--_binary64_10942` `div-inv_binary64_10987`
4×	`sqrt-prod_binary64_11006` `cbrt-undiv_binary64_11024`
3×	`diff-log_binary64_11082` `cbrt-unprod_binary64_11023` `associate-l_binary64_10931`
2×	`flip3--_binary64_10994` `flip--_binary64_10965` `frac-sub_binary64_10999` `clear-num_binary64_10989` `unswap-sqr_binary64_10958` `1-exp_binary64_11034` `pow-flip_binary64_11064` `sub-neg_binary64_10983` `associate-/r*_binary64_10934` `frac-2neg_binary64_11001` `rec-exp_binary64_11040` `pow-prod-down_binary64_11061`
1×	`associate--l-_binary64_10928` `difference-of-squares_binary64_10959` `*-commutative_binary64_10921` `inv-pow_binary64_11075`

Counts

4 → 105

Calls

4 calls:

14.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
5.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
4.0ms	(/.f64 1 (*.f64 x 9))

series240.0ms (6%)

Counts

4 → 21

Calls

4 calls:

127.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
75.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
19.0ms	(*.f64 3 (sqrt.f64 x))
18.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 583 to 547 computations (6.2% saved)

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4968	1523
1	4968	1523

prune146.0ms (3.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	120	6	126
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	122	6	128

Merged error: 0.0b

Counts

128 → 6

Compiler

Compiled 2149 to 1563 computations (27.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 (/.f64 1 x) 9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.3b	(/.f64 (/.f64 1 x) 9)

rewrite70.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

147×	`times-frac_binary64_10996`
94×	`add-sqr-sqrt_binary64_11012`
93×	`*-un-lft-identity_binary64_10990`
88×	`add-cube-cbrt_binary64_11025`
50×	`cancel-sign-sub-inv_binary64_10956`
44×	`associate--l+_binary64_10927`
20×	`add-exp-log_binary64_11028`
16×	`associate-/l*_binary64_10935` `add-cbrt-cube_binary64_11026`
11×	`div-inv_binary64_10987`
9×	`add-log-exp_binary64_11029`
8×	`div-exp_binary64_11041`
6×	`pow1_binary64_11051` `associate-r_binary64_10930`
5×	`cbrt-undiv_binary64_11024`
4×	`sqrt-prod_binary64_11006` `associate-/r*_binary64_10934`
3×	`distribute-lft-out--_binary64_10942` `diff-log_binary64_11082` `associate-l_binary64_10931`
2×	`flip3--_binary64_10994` `prod-exp_binary64_11039` `flip--_binary64_10965` `frac-sub_binary64_10999` `clear-num_binary64_10989` `unswap-sqr_binary64_10958` `sub-neg_binary64_10983` `cbrt-unprod_binary64_11023` `frac-2neg_binary64_11001`
1×	`associate--l-_binary64_10928` `associate-/l/_binary64_10937` `1-exp_binary64_11034` `difference-of-squares_binary64_10959` `rec-exp_binary64_11040` `*-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

4 → 184

Calls

4 calls:

31.0ms	(-.f64 (-.f64 1 (/.f64 (/.f64 1 x) 9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
8.0ms	(*.f64 3 (sqrt.f64 x))
7.0ms	(/.f64 (/.f64 1 x) 9)
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))

series245.0ms (6.2%)

Counts

4 → 21

Calls

4 calls:

132.0ms	(-.f64 (-.f64 1 (/.f64 (/.f64 1 x) 9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
75.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
19.0ms	(*.f64 3 (sqrt.f64 x))
18.0ms	(/.f64 (/.f64 1 x) 9)

Compiler

Compiled 583 to 547 computations (6.2% saved)

simplify87.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4960	3189
1	4960	3189

prune229.0ms (5.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	204	7	211

Merged error: 0b

Counts

211 → 7

Compiler

Compiled 3791 to 2709 computations (28.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) (/.f64 -1/9 x))
0.2b	(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
0.4b	(/.f64 -1/9 x)
0.4b	(/.f64 -1/3 (sqrt.f64 x))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64_11012`
47×	`times-frac_binary64_10996`
41×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
22×	`associate-r_binary64_10930` `sqrt-prod_binary64_11006`
13×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
9×	`associate-/r*_binary64_10934`
6×	`pow1_binary64_11051` `add-log-exp_binary64_11029` `associate-/l*_binary64_10935`
3×	`unswap-sqr_binary64_10958` `div-exp_binary64_11041` `div-inv_binary64_10987` `associate-l_binary64_10931` `cbrt-undiv_binary64_11024`
2×	`prod-exp_binary64_11039` `associate-*r/_binary64_10932` `clear-num_binary64_10989` `cbrt-unprod_binary64_11023` `frac-2neg_binary64_11001`
1×	`sum-log_binary64_11081` `frac-add_binary64_10998` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920` `*-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

4 → 120

Calls

4 calls:

10.0ms	(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
9.0ms	(+.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) (/.f64 -1/9 x))
4.0ms	(/.f64 -1/3 (sqrt.f64 x))
3.0ms	(/.f64 -1/9 x)

series235.0ms (5.9%)

Counts

4 → 21

Calls

4 calls:

117.0ms	(+.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) (/.f64 -1/9 x))
80.0ms	(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
20.0ms	(/.f64 -1/3 (sqrt.f64 x))
18.0ms	(/.f64 -1/9 x)

Compiler

Compiled 585 to 544 computations (7% saved)

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4947	1723
1	4947	1723

prune143.0ms (3.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	142	6	148

Merged error: 0b

Counts

148 → 6

Compiler

Compiled 2481 to 1680 computations (32.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 y (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (sqrt.f64 x) (cbrt.f64 3))))
0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (sqrt.f64 x) (cbrt.f64 3)))
0.3b	(/.f64 1 (*.f64 x 9))
0.4b	(*.f64 (sqrt.f64 x) (cbrt.f64 3))

rewrite47.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-exp-log_binary64_11028`
28×	`add-cbrt-cube_binary64_11026`
21×	`pow1_binary64_11051`
20×	`prod-exp_binary64_11039` `add-sqr-sqrt_binary64_11012`
18×	`cbrt-unprod_binary64_11023`
12×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
10×	`pow-prod-down_binary64_11061`
9×	`div-exp_binary64_11041`
7×	`associate-r_binary64_10930` `associate-l_binary64_10931` `cbrt-undiv_binary64_11024`
6×	`times-frac_binary64_10996` `associate-/l*_binary64_10935`
5×	`sqrt-prod_binary64_11006` `cbrt-prod_binary64_11021`
4×	`add-log-exp_binary64_11029` `unswap-sqr_binary64_10958`
2×	`clear-num_binary64_10989` `1-exp_binary64_11034` `pow-flip_binary64_11064` `associate-/r_binary64_10934` `frac-2neg_binary64_11001` `rec-exp_binary64_11040` `div-inv_binary64_10987` `-commutative_binary64_10921`
1×	`inv-pow_binary64_11075`

Counts

4 → 104

Calls

4 calls:

12.0ms	(/.f64 y (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (sqrt.f64 x) (cbrt.f64 3))))
10.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (sqrt.f64 x) (cbrt.f64 3)))
7.0ms	(*.f64 (sqrt.f64 x) (cbrt.f64 3))
4.0ms	(/.f64 1 (*.f64 x 9))

series250.0ms (6.3%)

Counts

4 → 15

Calls

4 calls:

172.0ms	(/.f64 y (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (sqrt.f64 x) (cbrt.f64 3))))
32.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (sqrt.f64 x) (cbrt.f64 3)))
24.0ms	(*.f64 (sqrt.f64 x) (cbrt.f64 3))
22.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 667 to 628 computations (5.8% saved)

simplify90.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4906	1139
1	4906	1139

prune142.0ms (3.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	119	6	125

Merged error: 0b

Counts

125 → 6

Compiler

Compiled 2492 to 1956 computations (21.5% saved)

regimes231.0ms (5.8%)

Compiler: Compiled 2046 to 1852 computations (9.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	21
1	69	21

end0.0ms (0%)

sample1.4s (34.5%)

Algorithm

1×

intervals

Results

382.0ms	8000×	body	128	valid
7.0ms	95×	body	128	invalid

Compiler

Compiled 700 to 634 computations (9.4% saved)

Details

analyze42.0ms (1.1%)

sample19.0ms (0.5%)

simplify121.0ms (3%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite37.0ms (0.9%)

series240.0ms (6%)

simplify64.0ms (1.6%)

prune146.0ms (3.7%)

localize9.0ms (0.2%)

rewrite70.0ms (1.8%)

series245.0ms (6.2%)

simplify87.0ms (2.2%)

prune229.0ms (5.8%)

localize8.0ms (0.2%)

rewrite36.0ms (0.9%)

series235.0ms (5.9%)

simplify78.0ms (2%)

prune143.0ms (3.6%)

localize13.0ms (0.3%)

rewrite47.0ms (1.2%)

series250.0ms (6.3%)

simplify90.0ms (2.3%)

prune142.0ms (3.6%)

regimes231.0ms (5.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (34.5%)

Profiling