Details

analyze5.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample18.0ms (0.1%)

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)

simplify250.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	1003	10
1	1003	10

prune2.0ms (0%)

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: 62.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

62.0b

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

rewrite21.0ms (0.1%)

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

1 calls:

14.0ms

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

series49.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify115.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4865	989
1	4865	989

prune214.0ms (1.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	40	15	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	16	56

Merged error: 62.0b

Counts

56 → 16

Compiler

Compiled 1046 to 303 computations (71% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 hi lo)) (cbrt.f64 (-.f64 hi lo)))
61.4b	(cbrt.f64 (-.f64 hi lo))
61.4b	(cbrt.f64 (-.f64 hi lo))
61.4b	(cbrt.f64 (-.f64 hi lo))

rewrite64.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_1132`
37×	`add-sqr-sqrt_binary64_1123`
35×	`*-un-lft-identity_binary64_1101`
18×	`cbrt-div_binary64_1133`
15×	`add-cube-cbrt_binary64_1136`
11×	`pow1_binary64_1162`
10×	`swap-sqr_binary64_1068`
9×	`pow1/3_binary64_1183` `distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105`
8×	`associate-r_binary64_1041` `associate-l_binary64_1042`
7×	`difference-of-squares_binary64_1070`
6×	`add-exp-log_binary64_1139`
4×	`frac-times_binary64_1111` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
2×	`pow-prod-up_binary64_1171` `associate-r/_binary64_1043` `pow-sqr_binary64_1074` `pow-prod-down_binary64_1172` `associate-l/_binary64_1044`
1×	`pow-plus_binary64_1164` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow2_binary64_1182`

Counts

4 → 101

Calls

4 calls:

23.0ms	(*.f64 (cbrt.f64 (-.f64 hi lo)) (cbrt.f64 (-.f64 hi lo)))
12.0ms	(cbrt.f64 (-.f64 hi lo))
6.0ms	(cbrt.f64 (-.f64 hi lo))
6.0ms	(cbrt.f64 (-.f64 hi lo))

series615.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

175.0ms	(*.f64 (cbrt.f64 (-.f64 hi lo)) (cbrt.f64 (-.f64 hi lo)))
153.0ms	(cbrt.f64 (-.f64 hi lo))
152.0ms	(cbrt.f64 (-.f64 hi lo))
134.0ms	(cbrt.f64 (-.f64 hi lo))

simplify132.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4906	1626
1	4906	1626

prune1.3s (8.8%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	95	18	113
Fresh	7	7	14
Picked	0	1	1
Done	0	1	1
Total	102	27	129

Merged error: 62.0b

Counts

129 → 27

Compiler

Compiled 3476 to 1180 computations (66.1% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 hi lo)) (/.f64 lo (-.f64 hi lo)))
28.6b	(/.f64 x (-.f64 hi lo))
62.0b	(/.f64 lo (-.f64 hi lo))

rewrite61.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`*-un-lft-identity_binary64_1101`
72×	`add-sqr-sqrt_binary64_1123`
63×	`times-frac_binary64_1107`
34×	`add-cube-cbrt_binary64_1136`
23×	`distribute-lft-out--_binary64_1053`
21×	`cancel-sign-sub-inv_binary64_1067`
17×	`difference-of-squares_binary64_1070`
10×	`associate-/r/_binary64_1047` `associate-/r*_binary64_1045`
7×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
6×	`flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l*_binary64_1046`
5×	`add-log-exp_binary64_1140` `div-inv_binary64_1098`
3×	`distribute-rgt-out--_binary64_1055` `pow1_binary64_1162`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`diff-log_binary64_1193` `sub-div_binary64_1108` `sub-neg_binary64_1094` `frac-sub_binary64_1110`

Counts

3 → 123

Calls

3 calls:

35.0ms	(-.f64 (/.f64 x (-.f64 hi lo)) (/.f64 lo (-.f64 hi lo)))
6.0ms	(/.f64 lo (-.f64 hi lo))
5.0ms	(/.f64 x (-.f64 hi lo))

series165.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

93.0ms	(-.f64 (/.f64 x (-.f64 hi lo)) (/.f64 lo (-.f64 hi lo)))
38.0ms	(/.f64 lo (-.f64 hi lo))
33.0ms	(/.f64 x (-.f64 hi lo))

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4988	2004
1	4988	2004

prune1.3s (9%)

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	121	11	132
Fresh	5	19	24
Picked	0	1	1
Done	0	2	2
Total	126	33	159

Merged error: 52.0b

Counts

159 → 33

Compiler

Compiled 2958 to 817 computations (72.4% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune23.0ms (0.2%)

Pruning

33 alts after pruning (29 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	29	29
Picked	1	1
Done	3	3
Total	33	33

Merged error: 52.0b

Counts

33 → 33

Compiler

Compiled 0 to 0 computations (0% saved)

regimes1.6s (10.8%)

Compiler: Compiled 13184 to 7690 computations (41.7% saved)

bsearch5.7s (39.3%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	1
1	3	1

end0.0ms (0%)

sample2.8s (19.1%)

Algorithm

1×

intervals

Results

191.0ms	8000×	body	128	valid
151.0ms	8000×	pre	128	true

Compiler

Compiled 3351 to 1963 computations (41.4% saved)

Pareto

0.10849743771007621

Details

analyze5.0ms (0%)

sample18.0ms (0.1%)

simplify250.0ms (1.7%)

prune2.0ms (0%)

localize5.0ms (0%)

rewrite21.0ms (0.1%)

series49.0ms (0.3%)

simplify115.0ms (0.8%)

prune214.0ms (1.5%)

localize21.0ms (0.1%)

rewrite64.0ms (0.4%)

series615.0ms (4.3%)

simplify132.0ms (0.9%)

prune1.3s (8.8%)

localize7.0ms (0%)

rewrite61.0ms (0.4%)

series165.0ms (1.1%)

simplify95.0ms (0.7%)

prune1.3s (9%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.1%)

prune23.0ms (0.2%)

regimes1.6s (10.8%)

bsearch5.7s (39.3%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.8s (19.1%)

Profiling