Details

analyze694.0ms (8.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4983	154
1	4983	154
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify130.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5230	22

prune2.0ms (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

28.0b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.7b	(-.f64 (.f64 b c) (.f64 a d))
27.5b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite71.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

27.9b

Rules

10×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
9×	`times-frac_binary64_1107`
4×	`add-exp-log_binary64_1139` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`pow1_binary64_1162` `flip3--_binary64_1105` `associate-/l/_binary64_1048` `flip--_binary64_1076` `associate-/r/_binary64_1047`
1×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `diff-log_binary64_1193` `sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067`

Counts

2 → 44

Calls

2 calls:

9.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
3.0ms	(-.f64 (.f64 b c) (.f64 a d))

Compiler

Compiled 1243 to 168 computations (86.5% saved)

series474.0ms (5.7%)

Error

6.1b

Counts

2 → 48

Calls

2 calls:

297.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
143.0ms	(-.f64 (.f64 b c) (.f64 a d))

Compiler

Compiled 1692 to 1064 computations (37.1% saved)

simplify87.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4930	1785
1	4930	1785

prune72.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Error

6.1b

Counts

93 → 8

Compiler

Compiled 1898 to 264 computations (86.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (.f64 c b) (.f64 d a))
15.8b	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
30.9b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.9b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite116.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

Rules

23×	`add-sqr-sqrt_binary64_1123`
21×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
18×	`sqrt-prod_binary64_1117` `times-frac_binary64_1107`
6×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `sqrt-div_binary64_1118` `associate-/r*_binary64_1045`
3×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/l*_binary64_1046`
2×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `flip3--_binary64_1105` `associate-/l/_binary64_1048` `flip--_binary64_1076` `associate-/r/_binary64_1047`
1×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `div-inv_binary64_1098` `diff-log_binary64_1193` `sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067`

Counts

4 → 86

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(-.f64 (.f64 c b) (.f64 d a))

Compiler

Compiled 3272 to 353 computations (89.2% saved)

series853.0ms (10.3%)

Error

6.1b

Counts

4 → 89

Calls

4 calls:

377.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
146.0ms	(-.f64 (.f64 c b) (.f64 d a))
124.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
123.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 5700 to 3067 computations (46.2% saved)

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5037	3548

prune151.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	172	3	175
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	175	8	183

Error

6.0b

Counts

183 → 8

Compiler

Compiled 5308 to 769 computations (85.5% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.4b	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (-.f64 (.f64 c b) (.f64 d a))))
0.7b	(-.f64 (.f64 c b) (.f64 d a))
27.4b	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (-.f64 (.f64 c b) (.f64 d a)))

rewrite161.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

6.0b

Rules

90×	`times-frac_binary64_1107`
55×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
18×	`associate-/r*_binary64_1045`
16×	`add-exp-log_binary64_1139`
11×	`associate-/r/_binary64_1047`
10×	`add-cbrt-cube_binary64_1137`
8×	`div-exp_binary64_1152`
6×	`div-inv_binary64_1098` `flip3--_binary64_1105` `flip--_binary64_1076` `associate-/l*_binary64_1046`
5×	`add-log-exp_binary64_1140`
4×	`pow1_binary64_1162` `cbrt-undiv_binary64_1135`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `1-exp_binary64_1145` `rec-exp_binary64_1151`
1×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `diff-log_binary64_1193` `sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067` `inv-pow_binary64_1186` `pow-flip_binary64_1175`

Counts

3 → 127

Calls

3 calls:

11.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (-.f64 (.f64 c b) (.f64 d a))))
8.0ms	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (-.f64 (.f64 c b) (.f64 d a)))
4.0ms	(-.f64 (.f64 c b) (.f64 d a))

Compiler

Compiled 4290 to 820 computations (80.9% saved)

series874.0ms (10.6%)

Error

6.0b

Counts

3 → 81

Calls

3 calls:

346.0ms	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (-.f64 (.f64 c b) (.f64 d a)))
311.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (-.f64 (.f64 c b) (.f64 d a))))
150.0ms	(-.f64 (.f64 c b) (.f64 d a))

Compiler

Compiled 4344 to 3025 computations (30.4% saved)

simplify115.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4972	6141
1	4972	6141

prune159.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	205	3	208
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	207	9	216

Error

1.1b

Counts

216 → 9

Compiler

Compiled 5370 to 989 computations (81.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

15.8b	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
30.9b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.9b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.9b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite120.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

25×	`add-sqr-sqrt_binary64_1123`
22×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
21×	`sqrt-prod_binary64_1117`
18×	`times-frac_binary64_1107`
8×	`sqrt-div_binary64_1118`
7×	`pow1_binary64_1162`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140` `flip3-+_binary64_1104` `flip-+_binary64_1075`
3×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `associate-/l*_binary64_1046`
2×	`associate-/l/_binary64_1048` `associate-/r/_binary64_1047`
1×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3--_binary64_1105` `flip--_binary64_1076`

Counts

4 → 89

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 4367 to 385 computations (91.2% saved)

series876.0ms (10.6%)

Error

1.1b

Counts

4 → 83

Calls

4 calls:

406.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
128.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
127.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
125.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 7665 to 3630 computations (52.6% saved)

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4984	3670
1	4984	3670

prune170.0ms (2.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	172	9	181

Error

1.1b

Counts

181 → 9

Compiler

Compiled 7055 to 888 computations (87.4% saved)

regimes1.2s (14%)

Accuracy

Total 13.7b remaining (91.6%)

Threshold costs 0b (0%)

Compiler

Compiled 8629 to 4718 computations (45.3% saved)

bsearch91.0ms (1.1%)

Steps

Iters	Range		Point
7	1.9706637419182684e+112	5.719981131311745e+113	1.3561624048078447e+113
8	9.06548652184005e-108	3.871271619741156e-104	1.328118702218238e-104
9	-6.755159253803321e-121	-9.616818788519929e-127	-2.5338273200564053e-123
9	-1.8967826378033752e+89	-6.348309879682374e+80	-1.8254888813105648e+83

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	83	148
1	83	148

end0.0ms (0%)

sample1.7s (20.6%)

Algorithm

1×

intervals

Results

333.0ms	8000×	body	128	valid
17.0ms	447×	body	128	invalid

Compiler

Compiled 1835 to 994 computations (45.8% saved)

Details

analyze694.0ms (8.4%)

sample22.0ms (0.3%)

simplify130.0ms (1.6%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite71.0ms (0.9%)

series474.0ms (5.7%)

simplify87.0ms (1.1%)

prune72.0ms (0.9%)

localize12.0ms (0.1%)

rewrite116.0ms (1.4%)

series853.0ms (10.3%)

simplify60.0ms (0.7%)

prune151.0ms (1.8%)

localize11.0ms (0.1%)

rewrite161.0ms (1.9%)

series874.0ms (10.6%)

simplify115.0ms (1.4%)

prune159.0ms (1.9%)

localize14.0ms (0.2%)

rewrite120.0ms (1.4%)

series876.0ms (10.6%)

simplify58.0ms (0.7%)

prune170.0ms (2.1%)

regimes1.2s (14%)

bsearch91.0ms (1.1%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.7s (20.6%)

Profiling