Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample80.0ms (1.4%)

Algorithm

1×

intervals

Results

50.0ms	128×	body	1024	valid
13.0ms	62×	body	512	valid
5.0ms	9×	body	2048	valid
4.0ms	31×	body	256	valid
2.0ms	26×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify177.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	450	15
1	450	15

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

Merged error: 57.8b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
6.1b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_1088`
52×	`add-sqr-sqrt_binary64_1109`
48×	`times-frac_binary64_1094`
30×	`log-prod_binary64_1171`
25×	`add-cube-cbrt_binary64_1120`
18×	`difference-of-squares_binary64_1057`
13×	`distribute-lft-out_binary64_1041`
9×	`distribute-lft-out--_binary64_1042`
7×	`add-exp-log_binary64_1123`
6×	`associate-/r*_binary64_1034`
4×	`add-cbrt-cube_binary64_1121` `associate-/r/_binary64_1036` `associate-/l*_binary64_1035`
3×	`pow1_binary64_1146`
2×	`rem-log-exp_binary64_1126` `flip3--_binary64_1092` `associate-/l/_binary64_1037` `flip--_binary64_1063` `div-exp_binary64_1136` `add-log-exp_binary64_1124` `div-inv_binary64_1085`
1×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `log-pow_binary64_1174` `log-div_binary64_1172` `flip-+_binary64_1062` `cbrt-undiv_binary64_1119` `flip3-+_binary64_1091`

Counts

2 → 91

Calls

2 calls:

10.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
9.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series86.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

62.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
24.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify85.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5286	1898

prune124.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	4	98

Merged error: 0.0b

Counts

98 → 4

Compiler

Compiled 1783 to 1423 computations (20.2% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.2b	(*.f64 (pow.f64 x 3) 2/3)

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_1109`
15×	`associate-l_binary64_1031`
13×	`add-exp-log_binary64_1123`
10×	`associate-r_binary64_1030` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
8×	`unpow-prod-down_binary64_1164`
7×	`add-cbrt-cube_binary64_1121` `unswap-sqr_binary64_1056`
6×	`prod-exp_binary64_1134`
5×	`add-log-exp_binary64_1124`
4×	`cube-prod_binary64_1113` `sqr-pow_binary64_1060`
3×	`pow1_binary64_1146`
2×	`*-commutative_binary64_1021` `cbrt-unprod_binary64_1118` `pow-exp_binary64_1153` `pow-to-exp_binary64_1154`
1×	`unpow3_binary64_1151` `cube-mult_binary64_1115` `sum-log_binary64_1176` `+-commutative_binary64_1020` `flip-+_binary64_1062` `flip3-+_binary64_1091`

Counts

3 → 67

Calls

3 calls:

8.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
7.0ms	(*.f64 (pow.f64 x 3) 2/3)
6.0ms	(*.f64 2/5 (pow.f64 x 5))

series285.0ms (5%)

Counts

3 → 9

Calls

3 calls:

183.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
57.0ms	(*.f64 2/5 (pow.f64 x 5))
45.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify50.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4863	889
1	4863	889

prune98.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

Compiler

Compiled 1719 to 1254 computations (27.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
6.1b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.1b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.1b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite48.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

110×	`*-un-lft-identity_binary64_1088`
90×	`log-prod_binary64_1171`
74×	`add-sqr-sqrt_binary64_1109`
72×	`times-frac_binary64_1094`
38×	`add-cube-cbrt_binary64_1120`
24×	`difference-of-squares_binary64_1057`
18×	`distribute-lft-out_binary64_1041`
13×	`add-exp-log_binary64_1123`
12×	`distribute-lft-out--_binary64_1042`
8×	`pow1_binary64_1146`
6×	`rem-log-exp_binary64_1126` `associate-/r/_binary64_1036`
4×	`add-cbrt-cube_binary64_1121` `log-pow_binary64_1174` `add-log-exp_binary64_1124` `cbrt-prod_binary64_1116`
3×	`flip3--_binary64_1092` `flip--_binary64_1063` `div-exp_binary64_1136` `log-div_binary64_1172` `div-inv_binary64_1085`
1×	`pow1/3_binary64_1167`

Counts

4 → 135

Calls

4 calls:

9.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
9.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
9.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms	(cbrt.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

series267.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
59.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
59.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
51.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify110.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4886	3227
1	4886	3227

prune391.0ms (6.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	146	5	151

Merged error: 0.0b

Counts

151 → 5

Compiler

Compiled 5775 to 4675 computations (19% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

6.1b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.1b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.2b	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))
6.2b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))))

rewrite67.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

142×	`*-un-lft-identity_binary64_1088`
118×	`log-prod_binary64_1171`
108×	`add-sqr-sqrt_binary64_1109`
96×	`times-frac_binary64_1094`
48×	`difference-of-squares_binary64_1057`
44×	`add-cube-cbrt_binary64_1120`
25×	`distribute-lft-out_binary64_1041`
14×	`add-exp-log_binary64_1123`
12×	`distribute-lft-out--_binary64_1042`
8×	`cube-prod_binary64_1113` `unpow-prod-down_binary64_1164` `sqr-pow_binary64_1060` `pow1_binary64_1146`
7×	`rem-log-exp_binary64_1126`
6×	`associate-/r/_binary64_1036`
5×	`log-div_binary64_1172`
4×	`add-cbrt-cube_binary64_1121` `log-pow_binary64_1174` `add-log-exp_binary64_1124`
3×	`flip3--_binary64_1092` `flip--_binary64_1063` `div-exp_binary64_1136` `div-inv_binary64_1085`
1×	`flip-+_binary64_1062` `flip3-+_binary64_1091`

Counts

4 → 162

Calls

4 calls:

15.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))))
9.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
9.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.0ms	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))

series171.0ms (3%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
49.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
44.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))))
28.0ms	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))

simplify101.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5098	4150

prune626.0ms (11%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	174	5	179

Merged error: 0.0b

Counts

179 → 5

Compiler

Compiled 8751 to 6586 computations (24.7% saved)

regimes53.0ms (0.9%)

Compiler: Compiled 482 to 397 computations (17.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample2.7s (48.3%)

Algorithm

1×

intervals

Results

1.5s	3944×	body	1024	valid
450.0ms	2064×	body	512	valid
224.0ms	390×	body	2048	valid
126.0ms	989×	body	256	valid
37.0ms	613×	body	128	valid

Compiler

Compiled 180 to 150 computations (16.7% saved)

Details

analyze5.0ms (0.1%)

sample80.0ms (1.4%)

simplify177.0ms (3.1%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite28.0ms (0.5%)

series86.0ms (1.5%)

simplify85.0ms (1.5%)

prune124.0ms (2.2%)

localize10.0ms (0.2%)

rewrite27.0ms (0.5%)

series285.0ms (5%)

simplify50.0ms (0.9%)

prune98.0ms (1.7%)

localize10.0ms (0.2%)

rewrite48.0ms (0.8%)

series267.0ms (4.7%)

simplify110.0ms (1.9%)

prune391.0ms (6.9%)

localize25.0ms (0.4%)

rewrite67.0ms (1.2%)

series171.0ms (3%)

simplify101.0ms (1.8%)

prune626.0ms (11%)

regimes53.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (48.3%)

Profiling