Details

analyze296.0ms (10.5%)

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)

sample15.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	18×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify183.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	542	10
1	542	10

prune2.0ms (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)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_1109` `*-un-lft-identity_binary64_1088`
6×	`associate-r_binary64_1030`
4×	`frac-times_binary64_1098` `associate-l_binary64_1031`
3×	`add-cbrt-cube_binary64_1121` `flip3--_binary64_1092` `flip--_binary64_1063` `add-exp-log_binary64_1123` `flip-+_binary64_1062` `pow1_binary64_1146` `flip3-+_binary64_1091` `add-cube-cbrt_binary64_1120`
2×	`associate-l/_binary64_1033` `sub-neg_binary64_1081` `associate-r/_binary64_1032` `difference-of-squares_binary64_1057`
1×	`*-commutative_binary64_1021` `unswap-sqr_binary64_1056` `cbrt-unprod_binary64_1118` `distribute-rgt-in_binary64_1040` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134` `add-log-exp_binary64_1124` `distribute-lft-out_binary64_1041` `distribute-lft-out--_binary64_1042` `distribute-lft-in_binary64_1039`

Counts

1 → 32

Calls

1 calls:

13.0ms

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

series56.0ms (2%)

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify52.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5049	530

prune36.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	3	36

Merged error: 0.0b

Counts

36 → 3

Compiler

Compiled 527 to 268 computations (49.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite20.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`associate-r_binary64_1030`
8×	`add-sqr-sqrt_binary64_1109` `*-un-lft-identity_binary64_1088`
7×	`add-log-exp_binary64_1124`
6×	`associate-*l/_binary64_1033` `flip-+_binary64_1062` `flip3-+_binary64_1091` `add-cube-cbrt_binary64_1120`
4×	`frac-add_binary64_1096` `add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `associate-l_binary64_1031` `pow1_binary64_1146`
3×	`sum-log_binary64_1176` `distribute-rgt-neg-in_binary64_1048` `distribute-lft-neg-in_binary64_1047`
2×	`distribute-rgt-neg-out_binary64_1050`
1×	`*-commutative_binary64_1021` `unswap-sqr_binary64_1056` `cbrt-unprod_binary64_1118` `associate-+l+_binary64_1023` `+-commutative_binary64_1020` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134` `neg-mul-1_binary64_1084` `distribute-lft-out_binary64_1041` `unsub-neg_binary64_1082`

Counts

2 → 47

Calls

2 calls:

8.0ms	(*.f64 (+.f64 x y) (neg.f64 z))
8.0ms	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))

series127.0ms (4.5%)

Counts

2 → 6

Calls

2 calls:

68.0ms	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
59.0ms	(*.f64 (+.f64 x y) (neg.f64 z))

simplify66.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5159	787

prune37.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0.0b

Counts

56 → 3

Compiler

Compiled 846 to 255 computations (69.9% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

1.3b	(.f64 (-.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y)))
2.8b	(-.f64 (.f64 x x) (.f64 y y))
22.4b	(/.f64 (.f64 (-.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))

rewrite40.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1109`
14×	`flip3--_binary64_1092` `flip--_binary64_1063` `*-un-lft-identity_binary64_1088`
10×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123`
8×	`frac-times_binary64_1098` `associate-/l/_binary64_1037`
7×	`add-cube-cbrt_binary64_1120`
6×	`associate-l_binary64_1031` `difference-of-squares_binary64_1057`
5×	`associate-/r*_binary64_1034` `times-frac_binary64_1094` `add-log-exp_binary64_1124` `pow1_binary64_1146`
4×	`associate-r_binary64_1030` `associate-l/_binary64_1033` `associate-r/_binary64_1032`
3×	`sub-neg_binary64_1081` `distribute-lft-out--_binary64_1042`
2×	`cbrt-unprod_binary64_1118` `associate-/r/_binary64_1036` `div-exp_binary64_1136` `cbrt-undiv_binary64_1119` `prod-exp_binary64_1134`
1×	`-commutative_binary64_1021` `clear-num_binary64_1087` `frac-2neg_binary64_1099` `unswap-sqr_binary64_1056` `distribute-rgt-in_binary64_1040` `diff-log_binary64_1177` `pow-prod-down_binary64_1156` `associate-/l_binary64_1035` `distribute-lft-in_binary64_1039` `div-inv_binary64_1085`

Counts

3 → 79

Calls

3 calls:

15.0ms	(/.f64 (.f64 (-.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
13.0ms	(.f64 (-.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y)))
4.0ms	(-.f64 (.f64 x x) (.f64 y y))

series297.0ms (10.5%)

Counts

3 → 9

Calls

3 calls:

159.0ms	(/.f64 (.f64 (-.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
96.0ms	(.f64 (-.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y)))
41.0ms	(-.f64 (.f64 x x) (.f64 y y))

simplify60.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5004	1683

prune75.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 0.0b

Counts

91 → 3

Compiler

Compiled 1875 to 722 computations (61.5% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 1 z) (-.f64 x y))
2.8b	(-.f64 (.f64 x x) (.f64 y y))
4.1b	(.f64 (-.f64 1 (.f64 z z)) (-.f64 (.f64 x x) (.f64 y y)))
27.1b	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (-.f64 (.f64 x x) (.f64 y y))) (*.f64 (+.f64 1 z) (-.f64 x y)))

rewrite56.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123`
19×	`flip3--_binary64_1092` `flip--_binary64_1063`
16×	`frac-times_binary64_1098`
15×	`add-sqr-sqrt_binary64_1109`
13×	`*-un-lft-identity_binary64_1088`
9×	`associate-r_binary64_1030` `associate-l_binary64_1031`
8×	`associate-l/_binary64_1033` `associate-/l/_binary64_1037` `associate-/r/_binary64_1036` `pow1_binary64_1146` `add-cube-cbrt_binary64_1120` `associate-r/_binary64_1032`
6×	`cbrt-unprod_binary64_1118` `flip-+_binary64_1062` `prod-exp_binary64_1134` `add-log-exp_binary64_1124` `flip3-+_binary64_1091`
5×	`sub-neg_binary64_1081` `difference-of-squares_binary64_1057`
4×	`div-exp_binary64_1136` `cbrt-undiv_binary64_1119`
2×	`*-commutative_binary64_1021` `unswap-sqr_binary64_1056` `distribute-rgt-in_binary64_1040` `pow-prod-down_binary64_1156` `distribute-lft-in_binary64_1039`
1×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `associate-/r_binary64_1034` `times-frac_binary64_1094` `diff-log_binary64_1177` `distribute-lft-out_binary64_1041` `distribute-lft-out--_binary64_1042` `associate-/l_binary64_1035` `div-inv_binary64_1085`

Counts

4 → 111

Calls

4 calls:

20.0ms	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (-.f64 (.f64 x x) (.f64 y y))) (*.f64 (+.f64 1 z) (-.f64 x y)))
10.0ms	(.f64 (-.f64 1 (.f64 z z)) (-.f64 (.f64 x x) (.f64 y y)))
10.0ms	(*.f64 (+.f64 1 z) (-.f64 x y))
4.0ms	(-.f64 (.f64 x x) (.f64 y y))

series407.0ms (14.4%)

Counts

4 → 12

Calls

4 calls:

191.0ms	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (-.f64 (.f64 x x) (.f64 y y))) (*.f64 (+.f64 1 z) (-.f64 x y)))
127.0ms	(.f64 (-.f64 1 (.f64 z z)) (-.f64 (.f64 x x) (.f64 y y)))
48.0ms	(*.f64 (+.f64 1 z) (-.f64 x y))
41.0ms	(-.f64 (.f64 x x) (.f64 y y))

simplify74.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4983	2463
1	4983	2463

prune128.0ms (4.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	122	4	126

Merged error: 0b

Counts

126 → 4

Compiler

Compiled 3313 to 1358 computations (59% saved)

regimes143.0ms (5.1%)

Compiler: Compiled 1054 to 869 computations (17.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	13
1	51	13

end0.0ms (0%)

sample605.0ms (21.4%)

Algorithm

1×

intervals

Results

198.0ms	7997×	body	128	valid
14.0ms	584×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 175 to 141 computations (19.4% saved)

Details

analyze296.0ms (10.5%)

sample15.0ms (0.5%)

simplify183.0ms (6.5%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite16.0ms (0.6%)

series56.0ms (2%)

simplify52.0ms (1.8%)

prune36.0ms (1.3%)

localize6.0ms (0.2%)

rewrite20.0ms (0.7%)

series127.0ms (4.5%)

simplify66.0ms (2.3%)

prune37.0ms (1.3%)

localize10.0ms (0.4%)

rewrite40.0ms (1.4%)

series297.0ms (10.5%)

simplify60.0ms (2.1%)

prune75.0ms (2.6%)

localize13.0ms (0.4%)

rewrite56.0ms (2%)

series407.0ms (14.4%)

simplify74.0ms (2.6%)

prune128.0ms (4.5%)

regimes143.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample605.0ms (21.4%)

Profiling