Details

analyze265.0ms (4.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample33.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	245×	body	128	valid
9.0ms	291×	pre	128	true
2.0ms	35×	body	128	nan
1.0ms	11×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify370.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (278.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

27.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
27.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1123`
14×	`*-un-lft-identity_binary64_1101` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`pow1_binary64_1162`
8×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136`
6×	`difference-of-squares_binary64_1070` `associate-/l*_binary64_1046` `times-frac_binary64_1107`
4×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `cancel-sign-sub-inv_binary64_1067`
3×	`distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `sqrt-prod_binary64_1117` `associate-r_binary64_1041` `pow-prod-down_binary64_1172`
2×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `associate-/l/_binary64_1048` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-l_binary64_1042` `associate-/r_binary64_1045` `div-sub_binary64_1106`

Counts

4 → 77

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series231.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

106.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
73.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
35.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
17.0ms	(.f64 (.f64 3 a) c)

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5180	1823

prune130.0ms (2.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	72	17	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	17	90

Error

8.8b

Counts

90 → 17

Compiler

Compiled 2498 to 1532 computations (38.7% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune26.0ms (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	16	16
Picked	1	1
Done	0	0
Total	17	17

Error

8.8b

Counts

17 → 17

Compiler

Compiled 517 to 366 computations (29.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 (*.f64 a c) b)
0.3b	(.f64 -3/2 (/.f64 (.f64 a c) b))
0.4b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite75.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
17×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
16×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
10×	`add-sqr-sqrt_binary64_1123`
8×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
7×	`times-frac_binary64_1107` `associate-r_binary64_1041`
5×	`pow1_binary64_1162`
4×	`associate-/r*_binary64_1045`
3×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `associate-l_binary64_1042`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-r/_binary64_1043` `associate-/l_binary64_1046`
1×	`*-commutative_binary64_1032` `associate-/l/_binary64_1048` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

3 → 78

Calls

3 calls:

8.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
7.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
4.0ms	(/.f64 (*.f64 a c) b)

series77.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
29.0ms	(/.f64 (*.f64 a c) b)
19.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4962	874
1	4962	874

prune102.0ms (1.6%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	72	15	87
Fresh	0	15	15
Picked	1	0	1
Done	1	0	1
Total	74	30	104

Error

8.7b

Counts

104 → 30

Compiler

Compiled 1796 to 1078 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 3 (/.f64 c b))
0.3b	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))

rewrite52.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_1107`
229×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
57×	`associate-/r*_binary64_1045`
22×	`div-inv_binary64_1098`
16×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
6×	`associate-/l*_binary64_1046` `associate-/r/_binary64_1047`
2×	`add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `pow1_binary64_1162` `clear-num_binary64_1100`

Counts

2 → 266

Calls

2 calls:

13.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
5.0ms	(/.f64 3 (/.f64 c b))

series29.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
14.0ms	(/.f64 3 (/.f64 c b))

simplify128.0ms (2%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5023	6058

prune291.0ms (4.6%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	259	13	272
Fresh	8	21	29
Picked	1	0	1
Done	0	0	0
Total	268	34	302

Error

8.7b

Counts

302 → 34

Compiler

Compiled 4635 to 2656 computations (42.7% saved)

regimes1.4s (21.5%)

Accuracy

Total 5.5b remaining (38.2%)

Threshold costs 0b (0%)

Compiler

Compiled 10331 to 8261 computations (20% saved)

bsearch6.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	87	81
1	87	81

end0.0ms (0%)

sample2.9s (46.6%)

Algorithm

1×

intervals

Results

389.0ms	7661×	body	128	valid
274.0ms	8893×	pre	128	true
42.0ms	893×	body	128	nan
32.0ms	339×	body	256	valid

Compiler

Compiled 2141 to 1702 computations (20.5% saved)

Details

analyze265.0ms (4.2%)

sample33.0ms (0.5%)

simplify370.0ms (5.9%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite35.0ms (0.6%)

series231.0ms (3.7%)

simplify64.0ms (1%)

prune130.0ms (2.1%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune26.0ms (0.4%)

localize7.0ms (0.1%)

rewrite75.0ms (1.2%)

series77.0ms (1.2%)

simplify52.0ms (0.8%)

prune102.0ms (1.6%)

localize5.0ms (0.1%)

rewrite52.0ms (0.8%)

series29.0ms (0.5%)

simplify128.0ms (2%)

prune291.0ms (4.6%)

regimes1.4s (21.5%)

bsearch6.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.9s (46.6%)

Profiling