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)

sample84.0ms (1.7%)

Algorithm

1×

intervals

Results

52.0ms	132×	body	1024	valid
14.0ms	61×	body	512	valid
6.0ms	10×	body	2048	valid
4.0ms	35×	body	256	valid
1.0ms	18×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify180.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	450	15
1	450	15

prune3.0ms (0.1%)

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: 58.5b

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))
5.2b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite27.0ms (0.5%)

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)))

series86.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
26.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5296	1898

prune125.0ms (2.5%)

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: 0b

Counts

98 → 2

Compiler

Compiled 1730 to 1379 computations (20.3% saved)

localize11.0ms (0.2%)

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)

rewrite24.0ms (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:

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)))

series299.0ms (6%)

Counts

3 → 9

Calls

3 calls:

177.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
76.0ms	(*.f64 2/5 (pow.f64 x 5))
46.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify96.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4838	889
1	4838	889

prune91.0ms (1.8%)

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: 0b

Counts

78 → 2

Compiler

Compiled 1666 to 1210 computations (27.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))
0.0b	(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
5.2b	(log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))))

rewrite85.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

124×	`*-un-lft-identity_binary64_1101`
111×	`add-sqr-sqrt_binary64_1123`
88×	`times-frac_binary64_1107`
65×	`sqrt-prod_binary64_1117`
49×	`add-cube-cbrt_binary64_1136`
48×	`associate-r_binary64_1041`
30×	`difference-of-squares_binary64_1070`
17×	`add-exp-log_binary64_1139`
15×	`distribute-lft-out_binary64_1052` `distribute-lft-out--_binary64_1053`
12×	`sqrt-div_binary64_1118`
11×	`add-cbrt-cube_binary64_1137`
10×	`pow1_binary64_1162`
7×	`associate-/l_binary64_1046` `associate-l*_binary64_1042`
6×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `unswap-sqr_binary64_1069` `associate-/r*_binary64_1045`
5×	`log-div_binary64_1188`
4×	`frac-times_binary64_1111` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `associate-/r/_binary64_1047` `associate-*l/_binary64_1044`
3×	`rem-log-exp_binary64_1142` `div-exp_binary64_1152`
2×	`cbrt-unprod_binary64_1134` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l/_binary64_1048` `associate-*r/_binary64_1043` `div-inv_binary64_1098` `pow-prod-down_binary64_1172` `cbrt-undiv_binary64_1135` `log-pow_binary64_1190`
1×	`*-commutative_binary64_1032` `rem-sqrt-square_binary64_1114` `frac-2neg_binary64_1112` `sqrt-pow1_binary64_1119` `clear-num_binary64_1100` `log-prod_binary64_1187` `pow1/2_binary64_1181`

Counts

4 → 184

Calls

4 calls:

32.0ms	(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
17.0ms	(log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))))
10.0ms	(/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))
4.0ms	(sqrt.f64 (+.f64 1 x))

series160.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))))
54.0ms	(/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))
28.0ms	(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
23.0ms	(sqrt.f64 (+.f64 1 x))

simplify95.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5083	3811

prune389.0ms (7.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	196	2	198

Merged error: 0b

Counts

198 → 2

Compiler

Compiled 4481 to 3585 computations (20% saved)

regimes151.0ms (3%)

Compiler: Compiled 1596 to 1393 computations (12.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample3.0s (59.4%)

Algorithm

1×

intervals

Results

1.6s	4010×	body	1024	valid
449.0ms	2067×	body	512	valid
242.0ms	419×	body	2048	valid
123.0ms	944×	body	256	valid
34.0ms	560×	body	128	valid

Compiler

Compiled 372 to 325 computations (12.6% saved)

Details

analyze5.0ms (0.1%)

sample84.0ms (1.7%)

simplify180.0ms (3.6%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite27.0ms (0.5%)

series86.0ms (1.7%)

simplify88.0ms (1.8%)

prune125.0ms (2.5%)

localize11.0ms (0.2%)

rewrite24.0ms (0.5%)

series299.0ms (6%)

simplify96.0ms (1.9%)

prune91.0ms (1.8%)

localize9.0ms (0.2%)

rewrite85.0ms (1.7%)

series160.0ms (3.2%)

simplify95.0ms (1.9%)

prune389.0ms (7.8%)

regimes151.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.0s (59.4%)

Profiling