Details

analyze2.0s (8%)

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)

sample190.0ms (0.8%)

Algorithm

1×

intervals

Results

40.0ms	73×	body	4096	valid
32.0ms	411×	body	128	nan
27.0ms	42×	body	8192	valid
16.0ms	39×	body	2048	valid
12.0ms	156×	body	128	invalid
7.0ms	21×	body	1024	valid
5.0ms	65×	body	128	valid
3.0ms	13×	body	512	valid
1.0ms	4×	body	1024	invalid
0.0ms	1×	body	4096	invalid
0.0ms	3×	body	256	valid
0.0ms	1×	body	2048	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify132.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

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

59.6b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

15.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
31.1b	(+.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))))

rewrite528.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

59.6b

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:

220.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
45.0ms	(+.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)))

Compiler

Compiled 10068 to 1192 computations (88.2% saved)

series2.4s (9.7%)

Error

34.4b

Counts

4 → 78

Calls

4 calls:

938.0ms	(+.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))))
477.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
460.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
459.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 9550 to 5378 computations (43.7% saved)

simplify105.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5027	5571

prune290.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	215	6	221
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	215	8	223

Error

34.3b

Counts

223 → 8

Compiler

Compiled 11482 to 2172 computations (81.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

11.4b	(.f64 (.f64 d d) c0)
13.6b	(.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))))
14.1b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
15.5b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))

rewrite648.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

28.5b

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:

29.0ms	(.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))))
18.0ms	(/.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) c0)

Compiler

Compiled 15201 to 3559 computations (76.6% saved)

series1.6s (6.5%)

Error

30.4b

Counts

4 → 54

Calls

4 calls:

671.0ms	(/.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))))
274.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
64.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 3510 to 2965 computations (15.5% saved)

simplify165.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5118	12573

prune502.0ms (2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	362	7	369
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	364	13	377

Error

27.6b

Counts

377 → 13

Compiler

Compiled 11244 to 4332 computations (61.5% saved)

localize11.0ms (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)))
8.2b	(.f64 (.f64 D D) h)
14.3b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
18.1b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))

rewrite214.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

20.0b

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:

15.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
13.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
10.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
5.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3728 to 727 computations (80.5% saved)

series943.0ms (3.8%)

Error

27.6b

Counts

4 → 39

Calls

4 calls:

357.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
338.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
161.0ms	(.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)

simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4991	3238
1	4991	3238

prune166.0ms (0.7%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	165	11	176
Fresh	3	8	11
Picked	1	0	1
Done	0	1	1
Total	169	20	189

Error

19.7b

Counts

189 → 20

Compiler

Compiled 3598 to 1286 computations (64.3% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 D (.f64 D h))) (.f64 d d)))
0.1b	(.f64 D (.f64 D h))
14.3b	(/.f64 (.f64 (.f64 M M) (.f64 D (.f64 D h))) (*.f64 d d))
18.1b	(.f64 (.f64 M M) (.f64 D (.f64 D h)))

rewrite185.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

18.1b

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`
9×	`add-sqr-sqrt_binary64_1123`
7×	`add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-l_binary64_1042` `associate-r*_binary64_1041`
4×	`add-log-exp_binary64_1140`
3×	`*-commutative_binary64_1032`
2×	`times-frac_binary64_1107` `div-inv_binary64_1098`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `unswap-sqr_binary64_1069` `associate-*r/_binary64_1043`

Counts

4 → 136

Calls

4 calls:

15.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 D (.f64 D h))) (.f64 d d)))
13.0ms	(/.f64 (.f64 (.f64 M M) (.f64 D (.f64 D h))) (*.f64 d d))
10.0ms	(.f64 (.f64 M M) (.f64 D (.f64 D h)))
5.0ms	(.f64 D (.f64 D h))

Compiler

Compiled 3709 to 720 computations (80.6% saved)

series903.0ms (3.6%)

Error

19.7b

Counts

4 → 39

Calls

4 calls:

355.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 D (.f64 D h))) (.f64 d d)))
310.0ms	(/.f64 (.f64 (.f64 M M) (.f64 D (.f64 D h))) (*.f64 d d))
151.0ms	(.f64 (.f64 M M) (.f64 D (.f64 D h)))
56.0ms	(.f64 D (.f64 D h))

Compiler

Compiled 1755 to 1679 computations (4.3% saved)

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5015	3219

prune129.0ms (0.5%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	172	3	175
Fresh	1	17	18
Picked	0	1	1
Done	0	1	1
Total	173	22	195

Error

19.1b

Counts

195 → 22

Compiler

Compiled 3089 to 944 computations (69.4% saved)

regimes4.6s (18.3%)

Accuracy

Total 9.5b remaining (32.3%)

Threshold costs 0b (0%)

Compiler

Compiled 57511 to 40129 computations (30.2% saved)

bsearch408.0ms (1.6%)

Steps

Iters	Range		Point
5	2.0585235978286655e+123	7.355989971284381e+123	6.901359139380613e+123
7	-2.1301861355985532e-297	-4.032321189846903e-299	-5.2181161000346884e-298
9	-2.6032348572500335e-159	-4.484833747403416e-168	-3.931039808045266e-166
9	-2.1166563402795903e+135	-1.0003491461988934e+129	-1.37686047095334e+133

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	129
1	70	129

end0.0ms (0%)

sample8.7s (34.7%)

Algorithm

1×

intervals

Results

1.1s	2087×	body	4096	valid
980.0ms	12116×	body	128	nan
751.0ms	1161×	body	8192	valid
512.0ms	1239×	body	2048	valid
338.0ms	4114×	body	128	invalid
212.0ms	642×	body	1024	valid
204.0ms	2451×	body	128	valid
75.0ms	298×	body	512	valid
22.0ms	122×	body	256	valid
19.0ms	48×	body	2048	invalid
15.0ms	49×	body	1024	invalid
6.0ms	26×	body	512	invalid
5.0ms	10×	body	4096	invalid
3.0ms	22×	body	256	invalid
2.0ms	4×	body	8192	exit

Compiler

Compiled 4883 to 3405 computations (30.3% saved)

Details

analyze2.0s (8%)

sample190.0ms (0.8%)

simplify132.0ms (0.5%)

prune6.0ms (0%)

localize25.0ms (0.1%)

rewrite528.0ms (2.1%)

series2.4s (9.7%)

simplify105.0ms (0.4%)

prune290.0ms (1.2%)

localize18.0ms (0.1%)

rewrite648.0ms (2.6%)

series1.6s (6.5%)

simplify165.0ms (0.7%)

prune502.0ms (2%)

localize11.0ms (0%)

rewrite214.0ms (0.9%)

series943.0ms (3.8%)

simplify89.0ms (0.4%)

prune166.0ms (0.7%)

localize11.0ms (0%)

rewrite185.0ms (0.7%)

series903.0ms (3.6%)

simplify73.0ms (0.3%)

prune129.0ms (0.5%)

regimes4.6s (18.3%)

bsearch408.0ms (1.6%)

simplify4.0ms (0%)

end0.0ms (0%)

sample8.7s (34.7%)

Profiling