Details

analyze9.0ms (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)

sample144.0ms (1.8%)

Algorithm

1×

intervals

Results

88.0ms	129×	body	1024	valid
24.0ms	63×	body	512	valid
12.0ms	12×	body	2048	valid
7.0ms	32×	body	256	valid
2.0ms	20×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify610.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (438.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune6.0ms (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

Merged error: 59.4b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
7.5b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite46.0ms (0.6%)

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:

15.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
14.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series74.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

52.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
22.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify137.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5756	1898

prune213.0ms (2.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	2	98

Merged error: 0.0b

Counts

98 → 2

Compiler

Compiled 1726 to 1376 computations (20.3% saved)

localize21.0ms (0.3%)

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)

rewrite42.0ms (0.5%)

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:

12.0ms	(*.f64 (pow.f64 x 3) 2/3)
10.0ms	(*.f64 2/5 (pow.f64 x 5))
10.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))

series257.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

157.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
56.0ms	(*.f64 2/5 (pow.f64 x 5))
44.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify112.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5097	898

prune161.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Merged error: 0.0b

Counts

78 → 2

Compiler

Compiled 1668 to 1213 computations (27.3% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.2b	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
7.5b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite58.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`*-un-lft-identity_binary64_1101`
55×	`add-sqr-sqrt_binary64_1123`
48×	`times-frac_binary64_1107`
34×	`log-prod_binary64_1187`
28×	`add-cube-cbrt_binary64_1136`
18×	`difference-of-squares_binary64_1070`
13×	`distribute-lft-out_binary64_1052`
9×	`distribute-lft-out--_binary64_1053`
8×	`add-exp-log_binary64_1139`
6×	`pow1_binary64_1162` `associate-/r*_binary64_1045`
5×	`add-cbrt-cube_binary64_1137`
4×	`exp-sum_binary64_1147` `exp-prod_binary64_1153` `associate-/l*_binary64_1046` `associate-/r/_binary64_1047`
3×	`add-log-exp_binary64_1140` `log-pow_binary64_1190`
2×	`rem-log-exp_binary64_1142` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l/_binary64_1048` `div-inv_binary64_1098` `div-exp_binary64_1152`
1×	`rem-exp-log_binary64_1141` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip3-+_binary64_1104` `cbrt-undiv_binary64_1135` `flip-+_binary64_1075` `log-div_binary64_1188`

Counts

3 → 107

Calls

3 calls:

18.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
16.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.0ms	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))

series177.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

111.0ms	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
46.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
20.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify141.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5016	2184

prune225.0ms (2.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	116	2	118

Merged error: 0.0b

Counts

118 → 2

Compiler

Compiled 2198 to 1798 computations (18.2% saved)

regimes236.0ms (3%)

Compiler: Compiled 1245 to 1082 computations (13.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample5.1s (65.5%)

Algorithm

1×

intervals

Results

2.7s	3948×	body	1024	valid
808.0ms	2028×	body	512	valid
407.0ms	403×	body	2048	valid
242.0ms	1051×	body	256	valid
70.0ms	570×	body	128	valid

Compiler

Compiled 297 to 258 computations (13.1% saved)

Details

analyze9.0ms (0.1%)

sample144.0ms (1.8%)

simplify610.0ms (7.8%)

prune6.0ms (0.1%)

localize13.0ms (0.2%)

rewrite46.0ms (0.6%)

series74.0ms (0.9%)

simplify137.0ms (1.8%)

prune213.0ms (2.7%)

localize21.0ms (0.3%)

rewrite42.0ms (0.5%)

series257.0ms (3.3%)

simplify112.0ms (1.4%)

prune161.0ms (2.1%)

localize16.0ms (0.2%)

rewrite58.0ms (0.7%)

series177.0ms (2.3%)

simplify141.0ms (1.8%)

prune225.0ms (2.9%)

regimes236.0ms (3%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.1s (65.5%)

Profiling