Details

analyze1.9s (16.2%)

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)

sample173.0ms (1.4%)

Algorithm

1×

intervals

Results

32.0ms	401×	body	128	nan
29.0ms	57×	body	4096	valid
24.0ms	32×	body	8192	valid
19.0ms	45×	body	2048	valid
11.0ms	138×	body	128	invalid
8.0ms	27×	body	1024	valid
6.0ms	78×	body	128	valid
2.0ms	10×	body	512	valid
2.0ms	4×	body	2048	invalid
1.0ms	7×	body	256	valid
1.0ms	2×	body	4096	invalid
0.0ms	2×	body	512	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify207.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5500	63

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: 59.7b

Counts

2 → 2

Compiler

Compiled 136 to 73 computations (46.3% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

17.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
28.9b	(+.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))))

rewrite130.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123`
117×	`cbrt-unprod_binary64_1118` `prod-exp_binary64_1134`
45×	`div-exp_binary64_1136` `cbrt-undiv_binary64_1119`
6×	`add-log-exp_binary64_1124` `*-un-lft-identity_binary64_1088`
4×	`add-sqr-sqrt_binary64_1109` `pow1_binary64_1146` `add-cube-cbrt_binary64_1120`
3×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `associate-/r_binary64_1034` `times-frac_binary64_1094` `associate-/l_binary64_1035` `div-inv_binary64_1085`
2×	`frac-add_binary64_1096` `sqrt-div_binary64_1104`
1×	`flip3--_binary64_1092` `sum-log_binary64_1176` `flip--_binary64_1063` `+-commutative_binary64_1020` `flip-+_binary64_1062` `flip3-+_binary64_1091` `distribute-lft-out_binary64_1041`

Counts

4 → 143

Calls

4 calls:

52.0ms	(+.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))))
17.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series1.1s (9.2%)

Counts

4 → 12

Calls

4 calls:

532.0ms	(+.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))))
194.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
189.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
181.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5615	4082

prune233.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	150	7	157

Merged error: 31.8b

Counts

157 → 7

Compiler

Compiled 8899 to 1496 computations (83.2% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

6.4b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123`
7×	`associate-l_binary64_1031`
6×	`add-sqr-sqrt_binary64_1109`
4×	`cbrt-unprod_binary64_1118` `prod-exp_binary64_1134` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
3×	`associate-r_binary64_1030` `times-frac_binary64_1094` `pow1_binary64_1146`
2×	`div-exp_binary64_1136` `cbrt-undiv_binary64_1119`
1×	`-commutative_binary64_1021` `mul0-rgt_binary64_1071` `unswap-sqr_binary64_1056` `associate-l/_binary64_1033` `pow-prod-down_binary64_1156` `add-log-exp_binary64_1124` `div-inv_binary64_1085`

Counts

1 → 28

Calls

1 calls:

7.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

series9.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5104	110

prune30.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	31	7	38

Merged error: 29.3b

Counts

38 → 7

Compiler

Compiled 441 to 301 computations (31.7% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune9.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	0	0
Total	7	7

Merged error: 29.3b

Counts

7 → 7

Compiler

Compiled 268 to 144 computations (46.3% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

11.8b	(.f64 (.f64 w h) (*.f64 D D))
17.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.7b	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
22.3b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite106.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

188×	`add-exp-log_binary64_1123`
111×	`add-cbrt-cube_binary64_1121`
105×	`prod-exp_binary64_1134`
57×	`cbrt-unprod_binary64_1118`
45×	`div-exp_binary64_1136`
23×	`cbrt-undiv_binary64_1119`
16×	`pow1_binary64_1146`
15×	`pow-exp_binary64_1153` `pow-to-exp_binary64_1154`
14×	`add-sqr-sqrt_binary64_1109`
10×	`*-un-lft-identity_binary64_1088`
8×	`associate-/r*_binary64_1034` `times-frac_binary64_1094` `pow-prod-down_binary64_1156`
6×	`add-cube-cbrt_binary64_1120`
4×	`associate-/r/_binary64_1036` `add-log-exp_binary64_1124` `difference-of-squares_binary64_1057`
3×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `associate-/l*_binary64_1035` `div-inv_binary64_1085`
2×	`flip3--_binary64_1092` `frac-sub_binary64_1097` `sqrt-prod_binary64_1103` `flip--_binary64_1063` `sqrt-div_binary64_1104` `distribute-lft-out--_binary64_1042`
1×	`-commutative_binary64_1021` `associate-r_binary64_1030` `associate-l*_binary64_1031`

Counts

4 → 143

Calls

4 calls:

39.0ms	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.0ms	(.f64 (.f64 w h) (*.f64 D D))
11.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

series1.9s (16.1%)

Counts

4 → 12

Calls

4 calls:

1.5s	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
197.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
157.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))
100.0ms	(.f64 (.f64 w h) (*.f64 D D))

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5026	4799

prune301.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	154	8	162

Merged error: 28.2b

Counts

162 → 8

Compiler

Compiled 8636 to 3085 computations (64.3% saved)

regimes205.0ms (1.7%)

Compiler: Compiled 2640 to 1644 computations (37.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms (0%)

sample5.3s (44.4%)

Algorithm

1×

intervals

Results

1.1s	2124×	body	4096	valid
957.0ms	12090×	body	128	nan
751.0ms	1130×	body	8192	valid
513.0ms	1287×	body	2048	valid
329.0ms	4107×	body	128	invalid
204.0ms	643×	body	1024	valid
192.0ms	2369×	body	128	valid
63.0ms	270×	body	512	valid
28.0ms	177×	body	256	valid
23.0ms	57×	body	2048	invalid
21.0ms	62×	body	1024	invalid
8.0ms	37×	body	512	invalid
7.0ms	14×	body	4096	invalid
4.0ms	6×	body	8192	exit
3.0ms	22×	body	256	invalid

Compiler

Compiled 344 to 205 computations (40.4% saved)

Details

analyze1.9s (16.2%)

sample173.0ms (1.4%)

simplify207.0ms (1.7%)

prune7.0ms (0.1%)

localize23.0ms (0.2%)

rewrite130.0ms (1.1%)

series1.1s (9.2%)

simplify75.0ms (0.6%)

prune233.0ms (1.9%)

localize5.0ms (0%)

rewrite9.0ms (0.1%)

series9.0ms (0.1%)

simplify47.0ms (0.4%)

prune30.0ms (0.2%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune9.0ms (0.1%)

localize30.0ms (0.3%)

rewrite106.0ms (0.9%)

series1.9s (16.1%)

simplify89.0ms (0.7%)

prune301.0ms (2.5%)

regimes205.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.3s (44.4%)

Profiling