Details

analyze2.0s (20.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5624	1248
0	6	6
1	6	6

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)

sample180.0ms (1.8%)

Algorithm

1×

intervals

Results

36.0ms	451×	body	128	nan
31.0ms	63×	body	4096	valid
28.0ms	40×	body	8192	valid
18.0ms	47×	body	2048	valid
13.0ms	166×	body	128	invalid
6.0ms	76×	body	128	valid
4.0ms	15×	body	1024	valid
2.0ms	9×	body	512	valid
1.0ms	3×	body	1024	invalid
1.0ms	6×	body	256	valid
0.0ms	1×	body	4096	invalid
0.0ms	2×	body	512	invalid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

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

Error

58.4b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

16.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.3b	(+.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))))

rewrite126.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
117×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
45×	`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 → 143

Calls

4 calls:

53.0ms	(+.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))))
13.0ms	(/.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)))
12.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series604.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

303.0ms	(+.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))))
106.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
101.0ms	(/.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)))

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5013	4040

prune221.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	151	4	155
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	151	6	157

Error

29.7b

Counts

157 → 6

Compiler

Compiled 8751 to 1782 computations (79.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

8.6b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
7×	`associate-l_binary64_1042`
6×	`add-sqr-sqrt_binary64_1123`
4×	`cbrt-unprod_binary64_1134` `*-un-lft-identity_binary64_1101` `prod-exp_binary64_1150` `add-cube-cbrt_binary64_1136`
3×	`pow1_binary64_1162` `times-frac_binary64_1107` `associate-r_binary64_1041`
2×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`-commutative_binary64_1032` `mul0-rgt_binary64_1084` `add-log-exp_binary64_1140` `div-inv_binary64_1098` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `associate-l/_binary64_1044`

Counts

1 → 28

Calls

1 calls:

7.0ms

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

series2.0ms (0%)

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5033	110

prune28.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	31	6	37

Error

25.4b

Counts

37 → 6

Compiler

Compiled 337 to 260 computations (22.8% 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

prune7.0ms (0.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	1	1
Total	6	6

Error

25.4b

Counts

6 → 6

Compiler

Compiled 164 to 103 computations (37.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.1b	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
9.5b	(.f64 c0 (.f64 d d))
12.6b	(.f64 (.f64 w h) (*.f64 D D))
16.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

rewrite80.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

396×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
231×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
92×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
23×	`pow1_binary64_1162`
12×	`pow-prod-down_binary64_1172`
11×	`add-sqr-sqrt_binary64_1123` `associate-l_binary64_1042`
8×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
7×	`associate-r_binary64_1041`
5×	`times-frac_binary64_1107`
4×	`add-log-exp_binary64_1140`
3×	`*-commutative_binary64_1032` `div-inv_binary64_1098`
2×	`unswap-sqr_binary64_1069`
1×	`frac-times_binary64_1111` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-r/_binary64_1043` `associate-/l_binary64_1046` `associate-l/_binary64_1044` `associate-/r_binary64_1045`

Counts

4 → 205

Calls

4 calls:

19.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
12.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
7.0ms	(.f64 (.f64 w h) (*.f64 D D))
5.0ms	(.f64 c0 (.f64 d d))

series331.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

143.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
108.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
50.0ms	(.f64 (.f64 w h) (*.f64 D D))
30.0ms	(.f64 c0 (.f64 d d))

simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5002	5168

prune164.0ms (1.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	208	9	217
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	210	13	223

Error

25.1b

Counts

223 → 13

Compiler

Compiled 4823 to 1279 computations (73.5% saved)

regimes390.0ms (3.9%)

Accuracy

Total 2.1b remaining (7%)

Threshold costs 0b (0%)

Compiler

Compiled 5344 to 3896 computations (27.1% saved)

bsearch3.0ms (0%)

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	162
1	50	162

end0.0ms (0%)

sample5.4s (54%)

Algorithm

1×

intervals

Results

1.0s	2173×	body	4096	valid
942.0ms	11862×	body	128	nan
695.0ms	1127×	body	8192	valid
496.0ms	1302×	body	2048	valid
313.0ms	3902×	body	128	invalid
193.0ms	630×	body	1024	valid
182.0ms	2325×	body	128	valid
70.0ms	310×	body	512	valid
24.0ms	57×	body	2048	invalid
20.0ms	133×	body	256	valid
16.0ms	51×	body	1024	invalid
8.0ms	36×	body	512	invalid
6.0ms	12×	body	4096	invalid
6.0ms	8×	body	8192	exit
3.0ms	20×	body	256	invalid

Compiler

Compiled 682 to 431 computations (36.8% saved)

Details

analyze2.0s (20.3%)

sample180.0ms (1.8%)

simplify43.0ms (0.4%)

prune7.0ms (0.1%)

localize19.0ms (0.2%)

rewrite126.0ms (1.3%)

series604.0ms (6.1%)

simplify93.0ms (0.9%)

prune221.0ms (2.2%)

localize7.0ms (0.1%)

rewrite9.0ms (0.1%)

series2.0ms (0%)

simplify77.0ms (0.8%)

prune28.0ms (0.3%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune7.0ms (0.1%)

localize15.0ms (0.1%)

rewrite80.0ms (0.8%)

series331.0ms (3.3%)

simplify129.0ms (1.3%)

prune164.0ms (1.7%)

regimes390.0ms (3.9%)

bsearch3.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.4s (54%)

Profiling