Details

analyze299.0ms (18%)

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)

sample14.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	20×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify94.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	104	10
1	104	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)

localize9.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.7%)

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:

9.0ms

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

series23.0ms (1.4%)

Counts

1 → 9

Calls

1 calls:

23.0ms

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

simplify68.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4982	562
1	4982	562

prune34.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Merged error: 0b

Counts

40 → 2

Compiler

Compiled 515 to 262 computations (49.1% saved)

localize14.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 z z) (-.f64 (.f64 1 1) (*.f64 z 1)))
0.3b	(*.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3)))
16.4b	(/.f64 (.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 1 1) (.f64 z 1))))

rewrite47.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
11×	`*-un-lft-identity_binary64_1101`
10×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`add-sqr-sqrt_binary64_1123`
8×	`frac-times_binary64_1111` `add-log-exp_binary64_1140` `associate-/l/_binary64_1048`
7×	`add-cube-cbrt_binary64_1136`
5×	`pow1_binary64_1162`
4×	`associate-r/_binary64_1043` `associate-r_binary64_1041` `associate-l_binary64_1042` `associate-l/_binary64_1044`
3×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
2×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `associate-+r+_binary64_1033` `associate-/r/_binary64_1047` `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` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `cancel-sign-sub-inv_binary64_1067` `distribute-rgt-in_binary64_1051`

Counts

3 → 76

Calls

3 calls:

19.0ms	(/.f64 (.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 1 1) (.f64 z 1))))
11.0ms	(*.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3)))
9.0ms	(+.f64 (.f64 z z) (-.f64 (.f64 1 1) (*.f64 z 1)))

series141.0ms (8.5%)

Counts

3 → 21

Calls

3 calls:

95.0ms	(/.f64 (.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 1 1) (.f64 z 1))))
39.0ms	(*.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3)))
7.0ms	(+.f64 (.f64 z z) (-.f64 (.f64 1 1) (*.f64 z 1)))

simplify48.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4973	2234
1	4973	2234

prune113.0ms (6.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	2	99

Merged error: 0b

Counts

99 → 2

Compiler

Compiled 2646 to 1582 computations (40.2% saved)

regimes127.0ms (7.7%)

Compiler: Compiled 1226 to 956 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10

end0.0ms (0%)

sample612.0ms (36.9%)

Algorithm

1×

intervals

Results

194.0ms	7997×	body	128	valid
13.0ms	577×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 214 to 169 computations (21% saved)

Details

analyze299.0ms (18%)

sample14.0ms (0.9%)

simplify94.0ms (5.7%)

prune2.0ms (0.1%)

localize9.0ms (0.6%)

rewrite12.0ms (0.7%)

series23.0ms (1.4%)

simplify68.0ms (4.1%)

prune34.0ms (2%)

localize14.0ms (0.8%)

rewrite47.0ms (2.8%)

series141.0ms (8.5%)

simplify48.0ms (2.9%)

prune113.0ms (6.8%)

regimes127.0ms (7.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample612.0ms (36.9%)

Profiling