Details

analyze1.9s (15%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	98.1%	1.9%	13
0%	98.1%	1.9%	14

Compiler

Compiled 53 to 22 computations (58.5% saved)

sample163.0ms (1.3%)

Algorithm

1×

intervals

Results

33.0ms	65×	body	4096	valid
29.0ms	41×	body	8192	valid
26.0ms	338×	body	128	nan
15.0ms	38×	body	2048	valid
10.0ms	131×	body	128	invalid
7.0ms	23×	body	1024	valid
6.0ms	72×	body	128	valid
3.0ms	13×	body	512	valid
1.0ms	2×	body	2048	invalid
1.0ms	4×	body	256	valid
1.0ms	2×	body	1024	invalid
0.0ms	2×	body	512	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify126.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5019	69

prune7.0ms (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: 58.0b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

13.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
29.4b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

rewrite165.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

151×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
82×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
32×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
11×	`*-un-lft-identity_binary64_1101`
9×	`add-sqr-sqrt_binary64_1123`
7×	`add-cube-cbrt_binary64_1136` `associate-l_binary64_1042`
6×	`add-log-exp_binary64_1140` `pow1_binary64_1162` `sqrt-div_binary64_1118` `frac-add_binary64_1109`
5×	`times-frac_binary64_1107`
4×	`frac-times_binary64_1111` `associate-r/_binary64_1043` `associate-r*_binary64_1041`
3×	`flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `div-inv_binary64_1098` `flip-+_binary64_1075`
2×	`distribute-lft-out_binary64_1052` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
1×	`-commutative_binary64_1032` `sum-log_binary64_1192` `distribute-lft-in_binary64_1050` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `associate-l/_binary64_1044` `distribute-rgt-in_binary64_1051`

Counts

4 → 138

Calls

4 calls:

61.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
48.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series1.2s (9.4%)

Counts

4 → 12

Calls

4 calls:

674.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
312.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
100.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
99.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5046	6313

prune270.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	143	7	150
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	144	8	152

Merged error: 27.9b

Counts

152 → 8

Compiler

Compiled 9335 to 2116 computations (77.3% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune15.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	0	0
Total	8	8

Merged error: 27.9b

Counts

8 → 8

Compiler

Compiled 362 to 180 computations (50.3% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

13.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.9b	(/.f64 (.f64 d d) (.f64 D D))
31.0b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 c0 (/.f64 (.f64 w h) (/.f64 (.f64 d d) (.f64 D D))))) (*.f64 M M))))

rewrite105.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

154×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
82×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
34×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
6×	`*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140`
4×	`add-sqr-sqrt_binary64_1123` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
3×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `times-frac_binary64_1107` `associate-/r_binary64_1045`
2×	`sqrt-div_binary64_1118` `frac-add_binary64_1109`
1×	`distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

4 → 121

Calls

4 calls:

45.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 c0 (/.f64 (.f64 w h) (/.f64 (.f64 d d) (.f64 D D))))) (*.f64 M M))))
17.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
7.0ms	(/.f64 (.f64 d d) (.f64 D D))

series520.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

308.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 c0 (/.f64 (.f64 w h) (/.f64 (.f64 d d) (.f64 D D))))) (*.f64 M M))))
97.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
94.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
20.0ms	(/.f64 (.f64 d d) (.f64 D D))

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5021	3334

prune205.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	129	4	133
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	131	10	141

Merged error: 27.9b

Counts

141 → 10

Compiler

Compiled 7797 to 1725 computations (77.9% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

13.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.8b	(.f64 (.f64 c0 (.f64 d d)) (/.f64 1 (.f64 (.f64 w h) (.f64 D D))))
14.9b	(/.f64 (.f64 d d) (.f64 D D))
34.7b	(+.f64 (.f64 (.f64 c0 (.f64 d d)) (/.f64 1 (.f64 (.f64 w h) (.f64 D D)))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 c0 (/.f64 (.f64 w h) (/.f64 (.f64 d d) (.f64 D D))))) (.f64 M M))))

rewrite135.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

316×	`add-exp-log_binary64_1139`
211×	`prod-exp_binary64_1150`
178×	`add-cbrt-cube_binary64_1137`
103×	`cbrt-unprod_binary64_1134`
49×	`div-exp_binary64_1152`
34×	`cbrt-undiv_binary64_1135`
15×	`1-exp_binary64_1145` `rec-exp_binary64_1151`
13×	`pow1_binary64_1162`
7×	`associate-r_binary64_1041`
6×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136` `pow-prod-down_binary64_1172`
5×	`times-frac_binary64_1107`
4×	`sqrt-div_binary64_1118` `frac-add_binary64_1109`
3×	`associate-*r/_binary64_1043` `div-inv_binary64_1098` `un-div-inv_binary64_1099`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
1×	`-commutative_binary64_1032` `sum-log_binary64_1192` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `flip-+_binary64_1075` `associate-l*_binary64_1042`

Counts

4 → 166

Calls

4 calls:

53.0ms	(+.f64 (.f64 (.f64 c0 (.f64 d d)) (/.f64 1 (.f64 (.f64 w h) (.f64 D D)))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 c0 (/.f64 (.f64 w h) (/.f64 (.f64 d d) (.f64 D D))))) (.f64 M M))))
19.0ms	(.f64 (.f64 c0 (.f64 d d)) (/.f64 1 (.f64 (.f64 w h) (.f64 D D))))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
7.0ms	(/.f64 (.f64 d d) (.f64 D D))

series519.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

299.0ms	(+.f64 (.f64 (.f64 c0 (.f64 d d)) (/.f64 1 (.f64 (.f64 w h) (.f64 D D)))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 c0 (/.f64 (.f64 w h) (/.f64 (.f64 d d) (.f64 D D))))) (.f64 M M))))
101.0ms	(.f64 (.f64 c0 (.f64 d d)) (/.f64 1 (.f64 (.f64 w h) (.f64 D D))))
101.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.0ms	(/.f64 (.f64 d d) (.f64 D D))

simplify132.0ms (1%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4976	4455
1	4976	4455

prune250.0ms (2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	178	10	188

Merged error: 27.9b

Counts

188 → 10

Compiler

Compiled 10094 to 2198 computations (78.2% saved)

regimes947.0ms (7.5%)

Compiler: Compiled 15814 to 7676 computations (51.5% saved)

bsearch4.0ms (0%)

Compiler: Compiled 52 to 21 computations (59.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	162
1	50	162

end0.0ms (0%)

sample5.7s (45.2%)

Algorithm

1×

intervals

Results

1.1s	2191×	body	4096	valid
921.0ms	11685×	body	128	nan
755.0ms	1193×	body	8192	valid
491.0ms	1254×	body	2048	valid
324.0ms	3985×	body	128	invalid
190.0ms	2339×	body	128	valid
181.0ms	593×	body	1024	valid
63.0ms	279×	body	512	valid
25.0ms	151×	body	256	valid
21.0ms	49×	body	2048	invalid
19.0ms	62×	body	1024	invalid
10.0ms	45×	body	512	invalid
7.0ms	15×	body	4096	invalid
5.0ms	31×	body	256	invalid
2.0ms	3×	body	8192	exit

Compiler

Compiled 1729 to 809 computations (53.2% saved)

Details

analyze1.9s (15%)

sample163.0ms (1.3%)

simplify126.0ms (1%)

prune7.0ms (0.1%)

localize25.0ms (0.2%)

rewrite165.0ms (1.3%)

series1.2s (9.4%)

simplify98.0ms (0.8%)

prune270.0ms (2.1%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune15.0ms (0.1%)

localize24.0ms (0.2%)

rewrite105.0ms (0.8%)

series520.0ms (4.1%)

simplify90.0ms (0.7%)

prune205.0ms (1.6%)

localize25.0ms (0.2%)

rewrite135.0ms (1.1%)

series519.0ms (4.1%)

simplify132.0ms (1%)

prune250.0ms (2%)

regimes947.0ms (7.5%)

bsearch4.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.7s (45.2%)

Profiling