Details

analyze2.0s (8.9%)

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)

sample184.0ms (0.8%)

Algorithm

1×

intervals

Results

43.0ms	80×	body	4096	valid
33.0ms	406×	body	128	nan
19.0ms	29×	body	8192	valid
17.0ms	42×	body	2048	valid
12.0ms	154×	body	128	invalid
6.0ms	73×	body	128	valid
6.0ms	18×	body	1024	valid
2.0ms	10×	body	512	valid
2.0ms	5×	body	2048	invalid
1.0ms	4×	body	256	valid
1.0ms	2×	body	1024	invalid
0.0ms	1×	body	4096	invalid
0.0ms	2×	body	512	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify132.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5019	69

prune11.0ms (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

58.4b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize21.0ms (0.1%)

Local error

Found 8 expressions with local error:

8.6b	(.f64 c0 (.f64 d d))
8.6b	(.f64 c0 (.f64 d d))
8.6b	(.f64 c0 (.f64 d d))
0.1b	(.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))))
17.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
30.4b	(+.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))))

rewrite127.0ms (0.6%)

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

8 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))))
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)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
0.0ms	(.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))))

series1.9s (8.7%)

Counts

4 → 71

Calls

4 calls:

590.0ms	(+.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)))
445.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
436.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 5972 to 3782 computations (36.7% saved)

simplify109.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5046	5195

prune345.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	207	7	214
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	209	7	216

Error

35.6b

Counts

216 → 7

Compiler

Compiled 11194 to 2085 computations (81.4% saved)

localize21.0ms (0.1%)

Local error

Found 8 expressions with local error:

8.6b	(.f64 c0 (.f64 d d))
7.0b	(.f64 h (.f64 D D))
5.0b	(.f64 w (.f64 (.f64 M M) (.f64 h (*.f64 D D))))
0.0b	(.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d))))
8.6b	(.f64 c0 (.f64 d d))
12.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d)))))
15.2b	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))
16.6b	(.f64 (.f64 M M) (.f64 h (.f64 D D)))

rewrite135.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 285

Calls

8 calls:

31.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d)))))
19.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))
11.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
6.0ms	(.f64 c0 (.f64 d d))
0.0ms	(.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d))))

series1.5s (6.6%)

Counts

4 → 51

Calls

4 calls:

690.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))
564.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d)))))
154.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
59.0ms	(.f64 c0 (.f64 d d))

Compiler

Compiled 2190 to 2088 computations (4.7% saved)

simplify150.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5464	9642

prune384.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	329	7	336
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	332	11	343

Error

29.2b

Counts

343 → 11

Compiler

Compiled 9098 to 2616 computations (71.2% saved)

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

16.6b	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
15.8b	(/.f64 (.f64 (.f64 M M) (.f64 h (.f64 D D))) (*.f64 d d))
7.0b	(.f64 h (.f64 D D))
0.0b	(.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 D D))) (.f64 d d)) 1/4)
0.0b	(.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 D D))) (.f64 d d)) 1/4)
7.0b	(.f64 h (.f64 D D))
15.8b	(/.f64 (.f64 (.f64 M M) (.f64 h (.f64 D D))) (*.f64 d d))
16.6b	(.f64 (.f64 M M) (.f64 h (.f64 D D)))

rewrite65.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

176×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
107×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
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-l_binary64_1042`
7×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
5×	`associate-r_binary64_1041`
4×	`add-log-exp_binary64_1140`
3×	`*-commutative_binary64_1032`
2×	`div-inv_binary64_1098` `times-frac_binary64_1107` `unswap-sqr_binary64_1069`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-l/_binary64_1044` `associate-/r*_binary64_1045`

Counts

4 → 137

Calls

8 calls:

16.0ms	(.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 D D))) (.f64 d d)) 1/4)
14.0ms	(/.f64 (.f64 (.f64 M M) (.f64 h (.f64 D D))) (*.f64 d d))
10.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
5.0ms	(.f64 h (.f64 D D))
0.0ms	(.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 D D))) (.f64 d d)) 1/4)

series855.0ms (3.8%)

Counts

4 → 39

Calls

4 calls:

346.0ms	(.f64 (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 D D))) (.f64 d d)) 1/4)
299.0ms	(/.f64 (.f64 (.f64 M M) (.f64 h (.f64 D D))) (*.f64 d d))
151.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
59.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 1170 to 1284 computations (-9.7% saved)

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4978	3227
1	4978	3227

prune189.0ms (0.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	163	13	176
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	169	18	187

Error

23.5b

Counts

187 → 18

Compiler

Compiled 3532 to 1250 computations (64.6% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

7.0b	(/.f64 (*.f64 M M) d)
7.0b	(.f64 h (.f64 D D))
5.9b	(/.f64 (.f64 h (.f64 D D)) d)
0.0b	(.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 h (*.f64 D D)) d)) 1/4)
5.9b	(/.f64 (.f64 h (.f64 D D)) d)
7.0b	(.f64 h (.f64 D D))
7.0b	(/.f64 (*.f64 M M) d)
13.6b	(.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 h (.f64 D D)) d))

rewrite42.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

8 calls:

13.0ms	(.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 h (.f64 D D)) d))
7.0ms	(/.f64 (.f64 h (.f64 D D)) d)
6.0ms	(.f64 h (.f64 D D))
5.0ms	(/.f64 (*.f64 M M) d)
0.0ms	(.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 h (*.f64 D D)) d)) 1/4)

series567.0ms (2.6%)

Counts

4 → 33

Calls

4 calls:

311.0ms	(.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 h (.f64 D D)) d))
131.0ms	(/.f64 (.f64 h (.f64 D D)) d)
64.0ms	(/.f64 (*.f64 M M) d)
60.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 990 to 1038 computations (-4.8% saved)

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4989	2143
1	4989	2143

prune161.0ms (0.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	138	10	148
Fresh	7	10	17
Picked	1	0	1
Done	0	0	0
Total	146	20	166

Error

20.0b

Counts

166 → 20

Compiler

Compiled 2671 to 609 computations (77.2% saved)

simplify38.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	550	2732
1	550	2732

regimes1.8s (8%)

Compiler: Compiled 21085 to 14470 computations (31.4% saved)

bsearch4.0ms (0%)

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

regimes1.5s (6.9%)

Compiler: Compiled 13994 to 10442 computations (25.4% saved)

bsearch3.0ms (0%)

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

regimes326.0ms (1.5%)

Compiler: Compiled 1605 to 1801 computations (-12.2% saved)

bsearch172.0ms (0.8%)

Steps

Iters	Range		Point
7	6.116828290449135e+182	3.48358355951417e+184	1.1472860962098607e+184
8	-9.589060725714917e+240	-2.361258073163464e+238	-1.5789612593083392e+240

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes372.0ms (1.7%)

Compiler: Compiled 1470 to 1675 computations (-13.9% saved)

bsearch1.0ms (0%)

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

regimes318.0ms (1.4%)

Compiler: Compiled 1320 to 1535 computations (-16.3% saved)

bsearch1.0ms (0%)

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

regimes261.0ms (1.2%)

Compiler: Compiled 1056 to 1262 computations (-19.5% saved)

bsearch156.0ms (0.7%)

Steps

Iters	Range		Point
6	6.495598949195897e+288	2.723739024323257e+289	2.6923044536263433e+289
7	8.99373257184573e-165	1.758656819562762e-162	6.787167257433162e-164

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes227.0ms (1%)

Compiler: Compiled 771 to 996 computations (-29.2% saved)

bsearch179.0ms (0.8%)

Steps

Iters	Range		Point
6	6.495598949195897e+288	2.723739024323257e+289	2.6923044536263433e+289
7	1.8882615022431713e-179	3.3330120835836693e-177	3.295220516778699e-178

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes194.0ms (0.9%)

Compiler: Compiled 501 to 744 computations (-48.5% saved)

bsearch183.0ms (0.8%)

Steps

Iters	Range		Point
6	6.495598949195897e+288	2.723739024323257e+289	2.6923044536263433e+289
7	8.99373257184573e-165	1.758656819562762e-162	1.0273504708314887e-164

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes144.0ms (0.6%)

Compiler: Compiled 327 to 555 computations (-69.7% saved)

bsearch251.0ms (1.1%)

Steps

Iters	Range		Point
9	2.163828149029122e+298	5.441849045693802e+304	4.044613264486354e+300
10	0.0	3.7208260046489858e-298	3.6829237027202115e-308

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes127.0ms (0.6%)

Compiler: Compiled 192 to 429 computations (-123.4% saved)

bsearch258.0ms (1.2%)

Steps

Iters	Range		Point
9	2.163828149029122e+298	5.441849045693802e+304	5.394462067156222e+300
10	0.0	3.7208260046489858e-298	6.11052838450271e-307

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes54.0ms (0.2%)

Accuracy

Total 7.3b remaining (27.7%)

Threshold costs 0b (0%)

Compiler

Compiled 30 to 198 computations (-560% saved)

bsearch15.0ms (0.1%)

Compiler: Compiled 351 to 262 computations (25.4% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	144	512
1	144	512

end0.0ms (0%)

sample6.5s (29.4%)

Algorithm

1×

intervals

Results

1.1s	2099×	body	4096	valid
959.0ms	11960×	body	128	nan
739.0ms	1138×	body	8192	valid
520.0ms	1310×	body	2048	valid
326.0ms	3995×	body	128	invalid
198.0ms	629×	body	1024	valid
190.0ms	2364×	body	128	valid
71.0ms	303×	body	512	valid
24.0ms	157×	body	256	valid
21.0ms	67×	body	1024	invalid
19.0ms	49×	body	2048	invalid
10.0ms	16×	body	4096	invalid
8.0ms	37×	body	512	invalid
7.0ms	8×	body	8192	exit
3.0ms	21×	body	256	invalid

Compiler

Compiled 2219 to 1537 computations (30.7% saved)

Pareto

0.8148845570629366

Details

analyze2.0s (8.9%)

sample184.0ms (0.8%)

simplify132.0ms (0.6%)

prune11.0ms (0%)

localize21.0ms (0.1%)

rewrite127.0ms (0.6%)

series1.9s (8.7%)

simplify109.0ms (0.5%)

prune345.0ms (1.6%)

localize21.0ms (0.1%)

rewrite135.0ms (0.6%)

series1.5s (6.6%)

simplify150.0ms (0.7%)

prune384.0ms (1.7%)

localize10.0ms (0%)

rewrite65.0ms (0.3%)

series855.0ms (3.8%)

simplify91.0ms (0.4%)

prune189.0ms (0.9%)

localize13.0ms (0.1%)

rewrite42.0ms (0.2%)

series567.0ms (2.6%)

simplify84.0ms (0.4%)

prune161.0ms (0.7%)

simplify38.0ms (0.2%)

regimes1.8s (8%)

bsearch4.0ms (0%)

regimes1.5s (6.9%)

bsearch3.0ms (0%)

regimes326.0ms (1.5%)

bsearch172.0ms (0.8%)

regimes372.0ms (1.7%)

bsearch1.0ms (0%)

regimes318.0ms (1.4%)

bsearch1.0ms (0%)

regimes261.0ms (1.2%)

bsearch156.0ms (0.7%)

regimes227.0ms (1%)

bsearch179.0ms (0.8%)

regimes194.0ms (0.9%)

bsearch183.0ms (0.8%)

regimes144.0ms (0.6%)

bsearch251.0ms (1.1%)

regimes127.0ms (0.6%)

bsearch258.0ms (1.2%)

regimes54.0ms (0.2%)

bsearch15.0ms (0.1%)

simplify8.0ms (0%)

end0.0ms (0%)

sample6.5s (29.4%)

Profiling