Details

analyze2.1s (9.6%)

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)

sample185.0ms (0.9%)

Algorithm

1×

intervals

Results

41.0ms	82×	body	4096	valid
31.0ms	370×	body	128	nan
25.0ms	39×	body	8192	valid
14.0ms	36×	body	2048	valid
11.0ms	139×	body	128	invalid
6.0ms	21×	body	1024	valid
6.0ms	5×	body	1024	invalid
5.0ms	63×	body	128	valid
2.0ms	9×	body	512	valid
1.0ms	6×	body	256	valid
1.0ms	1×	body	8192	exit
0.0ms	2×	body	512	invalid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5019	69

prune9.0ms (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

59.4b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

14.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
31.9b	(+.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))))

rewrite340.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

59.1b

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

Compiler

Compiled 10068 to 1192 computations (88.2% saved)

series2.1s (9.7%)

Error

31.6b

Counts

4 → 71

Calls

4 calls:

572.0ms	(+.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))))
485.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
475.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
469.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 8794 to 4804 computations (45.4% saved)

simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5046	5195

prune302.0ms (1.4%)

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

31.6b

Counts

216 → 6

Compiler

Compiled 11097 to 2084 computations (81.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.3b	(.f64 (.f64 d d) c0)
10.0b	(.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))))
12.9b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
14.0b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite629.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

23.8b

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×	`-commutative_binary64_1032` `associate-r/_binary64_1043`
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:

30.0ms	(.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))
16.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
6.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 15201 to 3559 computations (76.6% saved)

series1.6s (7.4%)

Error

26.9b

Counts

4 → 54

Calls

4 calls:

660.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
553.0ms	(.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))))
264.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
62.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 3510 to 2965 computations (15.5% saved)

simplify169.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5118	12573

prune482.0ms (2.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	361	8	369
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	364	11	375

Error

23.7b

Counts

375 → 11

Compiler

Compiled 11118 to 4297 computations (61.4% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

4.5b	(.f64 (.f64 D D) h)
13.7b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
15.0b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))

rewrite140.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

19.8b

Rules

94×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
55×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
29×	`pow1_binary64_1162`
18×	`pow-prod-down_binary64_1172`
14×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
5×	`add-sqr-sqrt_binary64_1123`
4×	`add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-r*_binary64_1041`
3×	`add-log-exp_binary64_1140`
2×	`associate-l_binary64_1042` `*-commutative_binary64_1032`
1×	`frac-2neg_binary64_1112` `times-frac_binary64_1107` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `unswap-sqr_binary64_1069`

Counts

3 → 88

Calls

3 calls:

14.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
11.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2222 to 466 computations (79% saved)

series526.0ms (2.4%)

Error

23.7b

Counts

3 → 27

Calls

3 calls:

306.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
147.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
50.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1215 to 1139 computations (6.3% saved)

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5061	1808

prune108.0ms (0.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	112	14	126

Error

19.9b

Counts

126 → 14

Compiler

Compiled 2266 to 798 computations (64.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.5b	(.f64 (.f64 D D) h)
6.0b	(/.f64 (.f64 (.f64 D D) h) d)
8.5b	(/.f64 (*.f64 M M) d)
9.2b	(.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) d))

rewrite164.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

15.5b

Rules

77×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
32×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
22×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
18×	`add-sqr-sqrt_binary64_1123`
13×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101` `times-frac_binary64_1107`
11×	`pow1_binary64_1162`
10×	`associate-r_binary64_1041`
8×	`associate-l_binary64_1042`
6×	`associate-/r*_binary64_1045`
4×	`pow-prod-down_binary64_1172` `add-log-exp_binary64_1140` `div-inv_binary64_1098`
3×	`unswap-sqr_binary64_1069`
2×	`-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046`
1×	`frac-times_binary64_1111` `associate-l/_binary64_1044` `associate-r/_binary64_1043`

Counts

4 → 115

Calls

4 calls:

13.0ms	(.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) d))
6.0ms	(/.f64 (.f64 (.f64 D D) h) d)
6.0ms	(.f64 (.f64 D D) h)
4.0ms	(/.f64 (*.f64 M M) d)

Compiler

Compiled 2699 to 609 computations (77.4% saved)

series576.0ms (2.7%)

Error

19.9b

Counts

4 → 33

Calls

4 calls:

297.0ms	(.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) d))
126.0ms	(/.f64 (.f64 (.f64 D D) h) d)
65.0ms	(/.f64 (*.f64 M M) d)
63.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1485 to 1322 computations (11% saved)

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4974	2151
1	4974	2151

prune120.0ms (0.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	139	9	148
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	145	17	162

Error

15.7b

Counts

162 → 17

Compiler

Compiled 2669 to 605 computations (77.3% saved)

regimes3.5s (16%)

Accuracy

Total 8.5b remaining (31.8%)

Threshold costs 0b (0%)

Compiler

Compiled 47168 to 33123 computations (29.8% saved)

bsearch248.0ms (1.2%)

Steps

Iters	Range		Point
9	3.169120583541737e+148	8.060124342479973e+154	1.9619361743369715e+149
8	4.171963728940965e-201	2.715082686700966e-198	6.497139624625351e-201

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	70
1	41	70

end0.0ms (0%)

sample7.9s (36.9%)

Algorithm

1×

intervals

Results

1.0s	2122×	body	4096	valid
940.0ms	11971×	body	128	nan
779.0ms	1236×	body	8192	valid
499.0ms	1254×	body	2048	valid
330.0ms	4058×	body	128	invalid
200.0ms	621×	body	1024	valid
185.0ms	2335×	body	128	valid
68.0ms	279×	body	512	valid
24.0ms	153×	body	256	valid
20.0ms	67×	body	1024	invalid
20.0ms	52×	body	2048	invalid
9.0ms	39×	body	512	invalid
6.0ms	13×	body	4096	invalid
4.0ms	6×	body	8192	exit
3.0ms	21×	body	256	invalid

Compiler

Compiled 4232 to 2982 computations (29.5% saved)

Details

analyze2.1s (9.6%)

sample185.0ms (0.9%)

simplify44.0ms (0.2%)

prune9.0ms (0%)

localize20.0ms (0.1%)

rewrite340.0ms (1.6%)

series2.1s (9.7%)

simplify107.0ms (0.5%)

prune302.0ms (1.4%)

localize17.0ms (0.1%)

rewrite629.0ms (2.9%)

series1.6s (7.4%)

simplify169.0ms (0.8%)

prune482.0ms (2.2%)

localize10.0ms (0%)

rewrite140.0ms (0.6%)

series526.0ms (2.4%)

simplify79.0ms (0.4%)

prune108.0ms (0.5%)

localize14.0ms (0.1%)

rewrite164.0ms (0.8%)

series576.0ms (2.7%)

simplify84.0ms (0.4%)

prune120.0ms (0.6%)

regimes3.5s (16%)

bsearch248.0ms (1.2%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.9s (36.9%)

Profiling