Details

analyze330.0ms (5.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample85.0ms (1.4%)

Algorithm

1×

intervals

Results

53.0ms	134×	body	1024	valid
15.0ms	67×	body	512	valid
4.0ms	28×	body	256	valid
3.0ms	5×	body	2048	valid
1.0ms	22×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify241.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (235.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

58.6b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.7b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite144.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

58.5b

Rules

78×	`*-un-lft-identity_binary64_1101`
52×	`add-sqr-sqrt_binary64_1123`
48×	`times-frac_binary64_1107`
30×	`log-prod_binary64_1187`
25×	`add-cube-cbrt_binary64_1136`
18×	`difference-of-squares_binary64_1070`
13×	`distribute-lft-out_binary64_1052`
9×	`distribute-lft-out--_binary64_1053`
7×	`add-exp-log_binary64_1139`
6×	`associate-/r*_binary64_1045`
4×	`associate-/r/_binary64_1047` `add-cbrt-cube_binary64_1137` `associate-/l*_binary64_1046`
3×	`pow1_binary64_1162`
2×	`div-inv_binary64_1098` `flip3--_binary64_1105` `flip--_binary64_1076` `div-exp_binary64_1152` `rem-log-exp_binary64_1142` `add-log-exp_binary64_1140` `associate-/l/_binary64_1048`
1×	`log-pow_binary64_1190` `log-div_binary64_1188` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip3-+_binary64_1104` `flip-+_binary64_1075`

Counts

2 → 91

Calls

2 calls:

8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 1776 to 1426 computations (19.7% saved)

series84.0ms (1.3%)

Error

0.0b

Counts

2 → 14

Calls

2 calls:

45.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
25.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 338 to 315 computations (6.8% saved)

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5617	1927

prune116.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	2	106

Error

Counts

106 → 2

Compiler

Compiled 1781 to 1414 computations (20.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))
0.0b	(*.f64 2/7 (pow.f64 x 7))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 2/3 (pow.f64 x 3))

rewrite201.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-sqr-sqrt_binary64_1123`
26×	`associate-r_binary64_1041`
19×	`add-exp-log_binary64_1139`
14×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
12×	`unpow-prod-down_binary64_1180`
10×	`add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
9×	`prod-exp_binary64_1150` `associate-l_binary64_1042`
6×	`add-log-exp_binary64_1140` `sqr-pow_binary64_1073`
4×	`pow1_binary64_1162` `cube-prod_binary64_1129`
3×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032`
1×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `sum-log_binary64_1192` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031`

Counts

4 → 92

Calls

4 calls:

8.0ms	(*.f64 2/7 (pow.f64 x 7))
7.0ms	(*.f64 2/3 (pow.f64 x 3))
6.0ms	(*.f64 2/5 (pow.f64 x 5))
5.0ms	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))

Compiler

Compiled 2761 to 2097 computations (24% saved)

series265.0ms (4.2%)

Error

Counts

4 → 15

Calls

4 calls:

105.0ms	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))
56.0ms	(*.f64 2/7 (pow.f64 x 7))
46.0ms	(*.f64 2/5 (pow.f64 x 5))
38.0ms	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 930 to 740 computations (20.4% saved)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5362	1186

prune177.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	107	2	109

Error

Counts

109 → 2

Compiler

Compiled 2934 to 2198 computations (25.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 x))
0.0b	(/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x)))
5.5b	(log.f64 (sqrt.f64 (-.f64 1 x)))
5.7b	(log.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))

rewrite354.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

116×	`*-un-lft-identity_binary64_1101`
79×	`add-sqr-sqrt_binary64_1123`
72×	`times-frac_binary64_1107`
66×	`sqrt-prod_binary64_1117`
51×	`log-prod_binary64_1187`
45×	`add-cube-cbrt_binary64_1136`
22×	`difference-of-squares_binary64_1070`
19×	`distribute-lft-out_binary64_1052`
11×	`distribute-lft-out--_binary64_1053`
10×	`add-exp-log_binary64_1139`
9×	`associate-/r*_binary64_1045`
8×	`pow1_binary64_1162` `sqrt-div_binary64_1118`
6×	`add-cbrt-cube_binary64_1137`
4×	`log-pow_binary64_1190` `flip3--_binary64_1105` `associate-/r/_binary64_1047` `flip--_binary64_1076` `add-log-exp_binary64_1140` `associate-/l*_binary64_1046`
3×	`log-div_binary64_1188` `rem-log-exp_binary64_1142`
2×	`div-inv_binary64_1098` `div-exp_binary64_1152` `pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `associate-/l/_binary64_1048`
1×	`cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip3-+_binary64_1104` `flip-+_binary64_1075` `rem-sqrt-square_binary64_1114`

Counts

4 → 158

Calls

4 calls:

12.0ms	(log.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
10.0ms	(/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x)))
5.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
4.0ms	(sqrt.f64 (-.f64 1 x))

Compiler

Compiled 4380 to 3648 computations (16.7% saved)

series141.0ms (2.2%)

Error

Counts

4 → 24

Calls

4 calls:

36.0ms	(log.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
27.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
26.0ms	(/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x)))
24.0ms	(sqrt.f64 (-.f64 1 x))

Compiler

Compiled 1097 to 946 computations (13.8% saved)

simplify97.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4962	3463
1	4962	3463

prune315.0ms (5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	182	2	184

Error

Counts

184 → 2

Compiler

Compiled 4480 to 3709 computations (17.2% saved)

regimes226.0ms (3.6%)

Accuracy

Total 0.2b remaining (97.8%)

Threshold costs 0.2b (97.8%)

Compiler

Compiled 2383 to 2045 computations (14.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	34
1	29	34

end0.0ms (0%)

sample3.3s (52.8%)

Algorithm

1×

intervals

Results

1.5s	4032×	body	1024	valid
433.0ms	1941×	body	512	valid
225.0ms	417×	body	2048	valid
126.0ms	987×	body	256	valid
36.0ms	623×	body	128	valid

Compiler

Compiled 566 to 487 computations (14% saved)

Details

analyze330.0ms (5.3%)

sample85.0ms (1.4%)

simplify241.0ms (3.8%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite144.0ms (2.3%)

series84.0ms (1.3%)

simplify75.0ms (1.2%)

prune116.0ms (1.9%)

localize14.0ms (0.2%)

rewrite201.0ms (3.2%)

series265.0ms (4.2%)

simplify69.0ms (1.1%)

prune177.0ms (2.8%)

localize10.0ms (0.2%)

rewrite354.0ms (5.6%)

series141.0ms (2.2%)

simplify97.0ms (1.5%)

prune315.0ms (5%)

regimes226.0ms (3.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.3s (52.8%)

Profiling