Details

analyze5.0ms (0.1%)

Algorithm

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)

sample108.0ms (1.4%)

Algorithm

1×

intervals

Results

61.0ms	118×	body	1024	valid
20.0ms	69×	body	512	valid
12.0ms	14×	body	2048	valid
6.0ms	36×	body	256	valid
2.0ms	19×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify216.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	450	15
1	450	15

prune3.0ms (0%)

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

Merged error: 58.7b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

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-/l*_binary64_1046` `associate-/r/_binary64_1047` `add-cbrt-cube_binary64_1137`
3×	`pow1_binary64_1162`
2×	`add-log-exp_binary64_1140` `rem-log-exp_binary64_1142` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l/_binary64_1048` `div-inv_binary64_1098` `div-exp_binary64_1152`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip3-+_binary64_1104` `cbrt-undiv_binary64_1135` `flip-+_binary64_1075` `log-pow_binary64_1190` `log-div_binary64_1188`

Counts

2 → 91

Calls

2 calls:

9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
9.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series87.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
26.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify130.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5296	1898

prune182.0ms (2.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	4	98

Merged error: 0.0b

Counts

98 → 4

Compiler

Compiled 1789 to 1430 computations (20.1% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_1123`
15×	`associate-l_binary64_1042`
13×	`add-exp-log_binary64_1139`
10×	`-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `associate-r*_binary64_1041`
8×	`unpow-prod-down_binary64_1180`
7×	`add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
6×	`prod-exp_binary64_1150`
5×	`add-log-exp_binary64_1140`
4×	`cube-prod_binary64_1129` `sqr-pow_binary64_1073`
3×	`pow1_binary64_1162`
2×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `pow-to-exp_binary64_1170`
1×	`cube-mult_binary64_1131` `sum-log_binary64_1192` `flip3-+_binary64_1104` `unpow3_binary64_1167` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

3 → 67

Calls

3 calls:

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

series395.0ms (5%)

Counts

3 → 9

Calls

3 calls:

232.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
100.0ms	(*.f64 2/5 (pow.f64 x 5))
62.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4838	889
1	4838	889

prune114.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

Compiler

Compiled 1744 to 1277 computations (26.8% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (log.f64 (exp.f64 (.f64 2/5 (pow.f64 x 5)))))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)
1.0b	(log.f64 (exp.f64 (*.f64 2/5 (pow.f64 x 5))))

rewrite37.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_1123`
15×	`associate-l_binary64_1042`
14×	`add-exp-log_binary64_1139`
13×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
10×	`associate-r_binary64_1041`
8×	`unpow-prod-down_binary64_1180` `add-cbrt-cube_binary64_1137`
7×	`unswap-sqr_binary64_1069`
6×	`add-log-exp_binary64_1140` `prod-exp_binary64_1150` `log-prod_binary64_1187`
5×	`pow1_binary64_1162`
4×	`cube-prod_binary64_1129` `sqr-pow_binary64_1073`
3×	`associate-+r+_binary64_1033` `log-pow_binary64_1190`
2×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `pow-to-exp_binary64_1170`
1×	`cube-mult_binary64_1131` `sum-log_binary64_1192` `rem-log-exp_binary64_1142` `exp-prod_binary64_1153` `flip3-+_binary64_1104` `unpow3_binary64_1167` `+-commutative_binary64_1031` `flip-+_binary64_1075` `exp-to-pow_binary64_1163`

Counts

4 → 84

Calls

4 calls:

9.0ms	(*.f64 (pow.f64 x 3) 2/3)
8.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (log.f64 (exp.f64 (.f64 2/5 (pow.f64 x 5)))))
7.0ms	(*.f64 2/5 (pow.f64 x 5))
3.0ms	(log.f64 (exp.f64 (*.f64 2/5 (pow.f64 x 5))))

series1.1s (13.9%)

Counts

4 → 12

Calls

4 calls:

474.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (log.f64 (exp.f64 (.f64 2/5 (pow.f64 x 5)))))
467.0ms	(log.f64 (exp.f64 (*.f64 2/5 (pow.f64 x 5))))
98.0ms	(*.f64 (pow.f64 x 3) 2/3)
66.0ms	(*.f64 2/5 (pow.f64 x 5))

simplify107.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4868	1118
1	4868	1118

prune170.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	96	4	100

Merged error: 0.0b

Counts

100 → 4

Compiler

Compiled 2295 to 1724 computations (24.9% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 x))
0.0b	(/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
6.2b	(log.f64 (sqrt.f64 (-.f64 1 x)))

rewrite66.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

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×	`add-log-exp_binary64_1140` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l*_binary64_1046` `associate-/r/_binary64_1047` `log-pow_binary64_1190`
3×	`rem-log-exp_binary64_1142` `log-div_binary64_1188`
2×	`sqrt-pow1_binary64_1119` `associate-/l/_binary64_1048` `div-inv_binary64_1098` `div-exp_binary64_1152` `pow1/2_binary64_1181`
1×	`rem-sqrt-square_binary64_1114` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip3-+_binary64_1104` `cbrt-undiv_binary64_1135` `flip-+_binary64_1075`

Counts

4 → 158

Calls

4 calls:

11.0ms	(/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))
11.0ms	(log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
6.0ms	(sqrt.f64 (-.f64 1 x))
6.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))

series257.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
84.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
46.0ms	(/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))
36.0ms	(sqrt.f64 (-.f64 1 x))

simplify121.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5007	3685

prune339.0ms (4.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	168	2	170
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	170	4	174

Merged error: 0.0b

Counts

174 → 4

Compiler

Compiled 4471 to 3657 computations (18.2% saved)

regimes242.0ms (3%)

Compiler: Compiled 1969 to 1709 computations (13.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	29
1	22	29

end0.0ms (0%)

sample4.0s (50.9%)

Algorithm

1×

intervals

Results

2.1s	4017×	body	1024	valid
603.0ms	1967×	body	512	valid
318.0ms	407×	body	2048	valid
176.0ms	1026×	body	256	valid
50.0ms	583×	body	128	valid

Compiler

Compiled 459 to 399 computations (13.1% saved)

Details

analyze5.0ms (0.1%)

sample108.0ms (1.4%)

simplify216.0ms (2.7%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite27.0ms (0.3%)

series87.0ms (1.1%)

simplify130.0ms (1.6%)

prune182.0ms (2.3%)

localize11.0ms (0.1%)

rewrite25.0ms (0.3%)

series395.0ms (5%)

simplify100.0ms (1.3%)

prune114.0ms (1.4%)

localize25.0ms (0.3%)

rewrite37.0ms (0.5%)

series1.1s (13.9%)

simplify107.0ms (1.3%)

prune170.0ms (2.1%)

localize22.0ms (0.3%)

rewrite66.0ms (0.8%)

series257.0ms (3.2%)

simplify121.0ms (1.5%)

prune339.0ms (4.3%)

regimes242.0ms (3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample4.0s (50.9%)

Profiling