Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample19.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify172.0ms (8.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	1003	10
1	1003	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

Error

62.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

62.0b	(/.f64 (-.f64 x lo) (-.f64 hi lo))
62.0b	(/.f64 (-.f64 x lo) (-.f64 hi lo))

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
25×	`times-frac_binary64_1107`
13×	`add-cube-cbrt_binary64_1136`
12×	`difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053`
5×	`associate-/l_binary64_1046` `associate-/r_binary64_1045`
3×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
2×	`flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047`
1×	`add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `pow1_binary64_1162` `clear-num_binary64_1100` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `div-sub_binary64_1106`

Counts

1 → 52

Calls

2 calls:

9.0ms	(/.f64 (-.f64 x lo) (-.f64 hi lo))
0.0ms	(/.f64 (-.f64 x lo) (-.f64 hi lo))

series63.0ms (3%)

Counts

1 → 10

Calls

1 calls:

63.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

Compiler

Compiled 201 to 165 computations (17.9% saved)

simplify57.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5114	1055

prune48.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	2	63

Error

51.8b

Counts

63 → 2

Compiler

Compiled 846 to 176 computations (79.2% saved)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	0	0
Total	2	2

Error

51.8b

Counts

2 → 2

Compiler

Compiled 5 to 5 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 lo x) lo)
0.0b	(/.f64 (-.f64 lo x) lo)

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
15×	`times-frac_binary64_1107`
11×	`add-cube-cbrt_binary64_1136`
5×	`associate-/l*_binary64_1046`
4×	`difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053`
3×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-/r*_binary64_1045`
2×	`associate-/l/_binary64_1048`
1×	`add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `pow1_binary64_1162` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `div-sub_binary64_1106`

Counts

1 → 38

Calls

2 calls:

6.0ms	(/.f64 (-.f64 lo x) lo)
0.0ms	(/.f64 (-.f64 lo x) lo)

series44.0ms (2.1%)

Counts

1 → 9

Calls

1 calls:

44.0ms

(/.f64 (-.f64 lo x) lo)

Compiler

Compiled 63 to 84 computations (-33.3% saved)

simplify82.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4986	564
1	4986	564

prune39.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	41	6	47
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	42	7	49

Error

51.8b

Counts

49 → 7

Compiler

Compiled 555 to 173 computations (68.8% saved)

localize13.0ms (0.6%)

Local error

Found 8 expressions with local error:

0.4b	(cbrt.f64 (-.f64 lo x))
0.0b	(/.f64 (.f64 (cbrt.f64 (-.f64 lo x)) (cbrt.f64 (-.f64 lo x))) (.f64 (cbrt.f64 lo) (cbrt.f64 lo)))
0.0b	(/.f64 (cbrt.f64 (-.f64 lo x)) (cbrt.f64 lo))
0.0b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 lo x)) (cbrt.f64 (-.f64 lo x))) (*.f64 (cbrt.f64 lo) (cbrt.f64 lo))) (/.f64 (cbrt.f64 (-.f64 lo x)) (cbrt.f64 lo)))
0.4b	(cbrt.f64 lo)
0.4b	(cbrt.f64 lo)
0.6b	(*.f64 (cbrt.f64 lo) (cbrt.f64 lo))
0.6b	(*.f64 (cbrt.f64 (-.f64 lo x)) (cbrt.f64 (-.f64 lo x)))

rewrite35.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`cbrt-prod_binary64_1132`
46×	`add-sqr-sqrt_binary64_1123`
36×	`*-un-lft-identity_binary64_1101`
22×	`add-cube-cbrt_binary64_1136`
18×	`pow1_binary64_1162`
16×	`swap-sqr_binary64_1068`
14×	`pow1/3_binary64_1183` `associate-r_binary64_1041` `associate-l_binary64_1042`
12×	`cbrt-div_binary64_1133`
8×	`add-exp-log_binary64_1139` `unswap-sqr_binary64_1069`
6×	`distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105`
4×	`difference-of-squares_binary64_1070` `frac-times_binary64_1111` `pow-prod-up_binary64_1171` `add-log-exp_binary64_1140` `pow-sqr_binary64_1074` `add-cbrt-cube_binary64_1137` `pow-prod-down_binary64_1172`
2×	`pow-plus_binary64_1164` `-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `associate-r/_binary64_1043` `associate-*l/_binary64_1044` `pow2_binary64_1182`

Counts

4 → 118

Calls

8 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 lo x)) (cbrt.f64 (-.f64 lo x)))
6.0ms	(*.f64 (cbrt.f64 lo) (cbrt.f64 lo))
1.0ms	(cbrt.f64 lo)
1.0ms	(cbrt.f64 lo)
0.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 lo x)) (cbrt.f64 (-.f64 lo x))) (*.f64 (cbrt.f64 lo) (cbrt.f64 lo))) (/.f64 (cbrt.f64 (-.f64 lo x)) (cbrt.f64 lo)))

series297.0ms (14%)

Counts

4 → 15

Calls

4 calls:

90.0ms	(*.f64 (cbrt.f64 lo) (cbrt.f64 lo))
74.0ms	(cbrt.f64 lo)
70.0ms	(cbrt.f64 lo)
63.0ms	(*.f64 (cbrt.f64 (-.f64 lo x)) (cbrt.f64 (-.f64 lo x)))

Compiler

Compiled 759 to 501 computations (34% saved)

simplify76.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4928	1422
1	4928	1422

prune116.0ms (5.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	128	5	133
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	128	12	140

Error

51.8b

Counts

140 → 12

Compiler

Compiled 3506 to 650 computations (81.5% saved)

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	114	500
1	114	500

regimes138.0ms (6.5%)

Compiler: Compiled 1320 to 880 computations (33.3% saved)

bsearch0.0ms (0%)

regimes26.0ms (1.2%)

Accuracy

Total 0.2b remaining (0.3%)

Threshold costs 0.2b (0.3%)

Compiler

Compiled 24 to 66 computations (-175% saved)

bsearch1.0ms (0%)

Compiler: Compiled 6 to 9 computations (-50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms (0%)

sample835.0ms (39.4%)

Algorithm

1×

intervals

Results

177.0ms	8000×	body	128	valid
157.0ms	8000×	pre	128	true

Compiler

Compiled 339 to 228 computations (32.7% saved)

Pareto

0.0

Details

analyze3.0ms (0.1%)

sample19.0ms (0.9%)

simplify172.0ms (8.1%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite14.0ms (0.7%)

series63.0ms (3%)

simplify57.0ms (2.7%)

prune48.0ms (2.3%)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.3%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

rewrite8.0ms (0.4%)

series44.0ms (2.1%)

simplify82.0ms (3.9%)

prune39.0ms (1.8%)

localize13.0ms (0.6%)

rewrite35.0ms (1.7%)

series297.0ms (14%)

simplify76.0ms (3.6%)

prune116.0ms (5.5%)

simplify10.0ms (0.5%)

regimes138.0ms (6.5%)

bsearch0.0ms (0%)

regimes26.0ms (1.2%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample835.0ms (39.4%)

Profiling