Details

analyze2.0s (8.9%)

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)

sample171.0ms (0.8%)

Algorithm

1×

intervals

Results

35.0ms	75×	body	4096	valid
28.0ms	373×	body	128	nan
22.0ms	35×	body	8192	valid
19.0ms	43×	body	2048	valid
10.0ms	131×	body	128	invalid
6.0ms	19×	body	1024	valid
5.0ms	66×	body	128	valid
3.0ms	12×	body	512	valid
2.0ms	6×	body	2048	invalid
1.0ms	6×	body	256	valid
0.0ms	1×	body	4096	invalid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify47.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5019	69

prune6.0ms (0%)

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

60.3b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize19.0ms (0.1%)

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)))
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 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

rewrite335.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

60.3b

Rules

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

Counts

4 → 143

Calls

4 calls:

47.0ms	(+.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))))
16.0ms	(/.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)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10068 to 1192 computations (88.2% saved)

series2.0s (8.9%)

Error

35.2b

Counts

4 → 71

Calls

4 calls:

568.0ms	(+.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))))
464.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
454.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
452.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 8794 to 4804 computations (45.4% saved)

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5046	5195

prune295.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	209	5	214
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	210	6	216

Error

35.7b

Counts

216 → 6

Compiler

Compiled 11103 to 2076 computations (81.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.5b	(.f64 (.f64 D D) h)
11.6b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
14.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
16.8b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite649.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

29.0b

Rules

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

Counts

4 → 315

Calls

4 calls:

34.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
19.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
13.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 15201 to 3600 computations (76.3% saved)

series1.6s (7.1%)

Error

28.7b

Counts

4 → 54

Calls

4 calls:

690.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
551.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
278.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
53.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3510 to 2973 computations (15.3% saved)

simplify159.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5016	12573

prune478.0ms (2.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	362	7	369
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	365	10	375

Error

27.0b

Counts

375 → 10

Compiler

Compiled 11103 to 4306 computations (61.2% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
7.5b	(.f64 (.f64 D D) h)
11.9b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
17.2b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))

rewrite215.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

22.4b

Rules

176×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
107×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
32×	`pow1_binary64_1162`
28×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
19×	`pow-prod-down_binary64_1172`
10×	`add-sqr-sqrt_binary64_1123`
9×	`associate-r_binary64_1041`
7×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
5×	`associate-l_binary64_1042`
4×	`add-log-exp_binary64_1140`
3×	`*-commutative_binary64_1032`
2×	`times-frac_binary64_1107` `div-inv_binary64_1098` `unswap-sqr_binary64_1069`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `associate-*r/_binary64_1043`

Counts

4 → 137

Calls

4 calls:

20.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
14.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
10.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3728 to 727 computations (80.5% saved)

series884.0ms (3.9%)

Error

27.0b

Counts

4 → 39

Calls

4 calls:

337.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
309.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
151.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
53.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1755 to 1679 computations (4.3% saved)

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4991	3238
1	4991	3238

prune160.0ms (0.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	166	10	176
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	172	14	186

Error

21.9b

Counts

186 → 14

Compiler

Compiled 3400 to 1086 computations (68.1% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

4.4b	(/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h)) d)
6.7b	(/.f64 (*.f64 M M) d)
7.5b	(.f64 (.f64 D D) h)
13.6b	(.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h))

rewrite167.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

19.1b

Rules

97×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
46×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
24×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
18×	`pow1_binary64_1162`
12×	`add-sqr-sqrt_binary64_1123`
11×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
9×	`pow-prod-down_binary64_1172` `times-frac_binary64_1107`
8×	`associate-l_binary64_1042`
6×	`associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140` `associate-r_binary64_1041`
3×	`div-inv_binary64_1098`
2×	`associate-l/_binary64_1044` `-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l*_binary64_1046`
1×	`unswap-sqr_binary64_1069` `associate-/l/_binary64_1048`

Counts

4 → 116

Calls

4 calls:

13.0ms	(/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h)) d)
11.0ms	(.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h))
6.0ms	(.f64 (.f64 D D) h)
5.0ms	(/.f64 (*.f64 M M) d)

Compiler

Compiled 2800 to 644 computations (77% saved)

series727.0ms (3.2%)

Error

21.9b

Counts

4 → 36

Calls

4 calls:

301.0ms	(/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h)) d)
266.0ms	(.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h))
71.0ms	(/.f64 (*.f64 M M) d)
60.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1620 to 1498 computations (7.5% saved)

simplify100.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5038	2319

prune131.0ms (0.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	139	13	152
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	145	21	166

Error

18.4b

Counts

166 → 21

Compiler

Compiled 2690 to 678 computations (74.8% saved)

regimes4.0s (17.7%)

Accuracy

Total 7.7b remaining (30.4%)

Threshold costs 0b (0%)

Compiler

Compiled 54335 to 38510 computations (29.1% saved)

bsearch8.0ms (0%)

Compiler: Compiled 3 to 7 computations (-133.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	57
1	32	57

end0.0ms (0%)

sample8.3s (36.3%)

Algorithm

1×

intervals

Results

1.0s	2135×	body	4096	valid
901.0ms	11900×	body	128	nan
724.0ms	1174×	body	8192	valid
497.0ms	1292×	body	2048	valid
307.0ms	3988×	body	128	invalid
190.0ms	609×	body	1024	valid
181.0ms	2373×	body	128	valid
58.0ms	263×	body	512	valid
23.0ms	154×	body	256	valid
22.0ms	53×	body	2048	invalid
18.0ms	61×	body	1024	invalid
8.0ms	18×	body	4096	invalid
7.0ms	9×	body	8192	exit
6.0ms	28×	body	512	invalid
3.0ms	22×	body	256	invalid

Compiler

Compiled 4860 to 3457 computations (28.9% saved)

Details

analyze2.0s (8.9%)

sample171.0ms (0.8%)

simplify47.0ms (0.2%)

prune6.0ms (0%)

localize19.0ms (0.1%)

rewrite335.0ms (1.5%)

series2.0s (8.9%)

simplify103.0ms (0.5%)

prune295.0ms (1.3%)

localize16.0ms (0.1%)

rewrite649.0ms (2.8%)

series1.6s (7.1%)

simplify159.0ms (0.7%)

prune478.0ms (2.1%)

localize10.0ms (0%)

rewrite215.0ms (0.9%)

series884.0ms (3.9%)

simplify95.0ms (0.4%)

prune160.0ms (0.7%)

localize10.0ms (0%)

rewrite167.0ms (0.7%)

series727.0ms (3.2%)

simplify100.0ms (0.4%)

prune131.0ms (0.6%)

regimes4.0s (17.7%)

bsearch8.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample8.3s (36.3%)

Profiling