Details

analyze565.0ms (14.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample27.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify169.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	104	10
1	104	10

prune3.0ms (0.1%)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_1101`
6×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
5×	`add-sqr-sqrt_binary64_1123`
4×	`frac-times_binary64_1111` `associate-r_binary64_1041` `associate-l_binary64_1042`
3×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137`
2×	`distribute-lft-out_binary64_1052` `associate-r/_binary64_1043` `associate-l/_binary64_1044`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `distribute-lft-in_binary64_1050` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051`

Counts

1 → 30

Calls

1 calls:

16.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

series45.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

45.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

simplify126.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4963	502
1	4963	502

prune62.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0b

Counts

34 → 3

Compiler

Compiled 486 to 251 computations (48.4% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 z 1))
0.0b	(sqrt.f64 (+.f64 z 1))
0.1b	(*.f64 (+.f64 x y) (sqrt.f64 (+.f64 z 1)))
0.1b	(.f64 (.f64 (+.f64 x y) (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (+.f64 z 1)))

rewrite86.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`sqrt-div_binary64_1118`
35×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
32×	`frac-times_binary64_1111`
21×	`*-un-lft-identity_binary64_1101`
17×	`add-sqr-sqrt_binary64_1123` `sqrt-prod_binary64_1117`
16×	`associate-*l/_binary64_1044`
14×	`associate-r_binary64_1041`
13×	`pow1_binary64_1162`
11×	`add-exp-log_binary64_1139` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137`
10×	`associate-*r/_binary64_1043`
5×	`distribute-lft-out_binary64_1052` `associate-l_binary64_1042`
4×	`cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172`
2×	`*-commutative_binary64_1032` `rem-sqrt-square_binary64_1114` `sqrt-pow1_binary64_1119` `unswap-sqr_binary64_1069` `pow1/2_binary64_1181`

Counts

4 → 112

Calls

4 calls:

29.0ms	(.f64 (.f64 (+.f64 x y) (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (+.f64 z 1)))
19.0ms	(*.f64 (+.f64 x y) (sqrt.f64 (+.f64 z 1)))
6.0ms	(sqrt.f64 (+.f64 z 1))
6.0ms	(sqrt.f64 (+.f64 z 1))

series196.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

99.0ms	(*.f64 (+.f64 x y) (sqrt.f64 (+.f64 z 1)))
48.0ms	(.f64 (.f64 (+.f64 x y) (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (+.f64 z 1)))
24.0ms	(sqrt.f64 (+.f64 z 1))
24.0ms	(sqrt.f64 (+.f64 z 1))

simplify147.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4998	2434
1	4998	2434

prune231.0ms (5.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	124	3	127

Merged error: 0b

Counts

127 → 3

Compiler

Compiled 2569 to 1533 computations (40.3% saved)

localize22.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (pow.f64 z 3))
0.0b	(+.f64 (*.f64 z z) (-.f64 1 z))
1.2b	(*.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3)))
12.5b	(/.f64 (.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 1 z)))

rewrite97.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_1101` `flip3-+_binary64_1104` `flip-+_binary64_1075`
11×	`add-sqr-sqrt_binary64_1123` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`add-cube-cbrt_binary64_1136`
8×	`frac-times_binary64_1111` `associate-/l/_binary64_1048`
6×	`pow1_binary64_1162`
4×	`associate-+r+_binary64_1033` `associate-r/_binary64_1043` `associate-r_binary64_1041` `associate-l_binary64_1042` `associate-l/_binary64_1044`
3×	`distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `times-frac_binary64_1107` `cancel-sign-sub-inv_binary64_1067` `associate-/r*_binary64_1045`
2×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `associate-/r/_binary64_1047` `+-commutative_binary64_1031` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`diff-log_binary64_1193` `-commutative_binary64_1032` `frac-2neg_binary64_1112` `sub-neg_binary64_1094` `associate-+r-_binary64_1035` `distribute-lft-in_binary64_1050` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051`

Counts

4 → 90

Calls

4 calls:

34.0ms	(/.f64 (.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 1 z)))
22.0ms	(*.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3)))
14.0ms	(+.f64 (*.f64 z z) (-.f64 1 z))
11.0ms	(+.f64 1 (pow.f64 z 3))

series471.0ms (11.7%)

Counts

4 → 12

Calls

4 calls:

234.0ms	(/.f64 (.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 1 z)))
148.0ms	(*.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3)))
72.0ms	(+.f64 1 (pow.f64 z 3))
17.0ms	(+.f64 (*.f64 z z) (-.f64 1 z))

simplify123.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5696	1902

prune207.0ms (5.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	102	3	105

Merged error: 0b

Counts

105 → 3

Compiler

Compiled 2414 to 1375 computations (43% saved)

regimes243.0ms (6.1%)

Compiler: Compiled 1010 to 830 computations (17.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10

end0.0ms (0%)

sample1.1s (28.5%)

Algorithm

1×

intervals

Results

371.0ms	7999×	body	128	valid
29.0ms	620×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 178 to 148 computations (16.9% saved)

Details

analyze565.0ms (14.1%)

sample27.0ms (0.7%)

simplify169.0ms (4.2%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite19.0ms (0.5%)

series45.0ms (1.1%)

simplify126.0ms (3.1%)

prune62.0ms (1.5%)

localize15.0ms (0.4%)

rewrite86.0ms (2.2%)

series196.0ms (4.9%)

simplify147.0ms (3.7%)

prune231.0ms (5.8%)

localize22.0ms (0.6%)

rewrite97.0ms (2.4%)

series471.0ms (11.7%)

simplify123.0ms (3.1%)

prune207.0ms (5.2%)

regimes243.0ms (6.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (28.5%)

Profiling