Details

analyze4.0ms (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 9 to 8 computations (11.1% saved)

sample81.0ms (1.7%)

Algorithm

1×

intervals

Results

50.0ms	126×	body	1024	valid
15.0ms	77×	body	512	valid
7.0ms	13×	body	2048	valid
3.0ms	25×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify358.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (196.0ms)

Iter	Nodes	Cost
0	4989	12
1	4989	12

prune3.0ms (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: 59.5b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.2b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite28.0ms (0.6%)

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-/l*_binary64_1035`
4×	`add-cbrt-cube_binary64_1121` `associate-/r*_binary64_1034` `associate-/r/_binary64_1036`
3×	`pow1_binary64_1146`
2×	`rem-log-exp_binary64_1126` `associate-/l/_binary64_1037` `div-exp_binary64_1136` `flip-+_binary64_1062` `add-log-exp_binary64_1124` `flip3-+_binary64_1091` `div-inv_binary64_1085`
1×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `log-pow_binary64_1174` `flip3--_binary64_1092` `flip--_binary64_1063` `div-sub_binary64_1093` `log-div_binary64_1172` `cbrt-undiv_binary64_1119`

Counts

2 → 92

Calls

2 calls:

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

series83.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
25.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify68.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5224	1892

prune108.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	2	99

Merged error: 0.0b

Counts

99 → 2

Compiler

Compiled 1539 to 1185 computations (23% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 eps 5) -2/5) (.f64 (pow.f64 eps 3) -2/3))
0.1b	(*.f64 (pow.f64 eps 5) -2/5)
0.1b	(*.f64 (pow.f64 eps 3) -2/3)

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_1109`
19×	`associate-l_binary64_1031`
13×	`add-exp-log_binary64_1123`
10×	`*-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×	`associate-r_binary64_1030` `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:

7.0ms	(*.f64 (pow.f64 eps 3) -2/3)
6.0ms	(*.f64 (pow.f64 eps 5) -2/5)
6.0ms	(+.f64 (.f64 (pow.f64 eps 5) -2/5) (.f64 (pow.f64 eps 3) -2/3))

series282.0ms (6%)

Counts

3 → 9

Calls

3 calls:

176.0ms	(+.f64 (.f64 (pow.f64 eps 5) -2/5) (.f64 (pow.f64 eps 3) -2/3))
59.0ms	(*.f64 (pow.f64 eps 5) -2/5)
46.0ms	(*.f64 (pow.f64 eps 3) -2/3)

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4941	890
1	4941	890

prune89.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Merged error: 0.0b

Counts

78 → 2

Compiler

Compiled 1523 to 1217 computations (20.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0b	(cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.3b	(log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
5.3b	(log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))

rewrite64.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

146×	`*-un-lft-identity_binary64_1088`
120×	`cbrt-prod_binary64_1116`
98×	`add-sqr-sqrt_binary64_1109`
96×	`times-frac_binary64_1094`
66×	`log-prod_binary64_1171`
50×	`add-cube-cbrt_binary64_1120`
32×	`difference-of-squares_binary64_1057`
24×	`distribute-lft-out_binary64_1041`
16×	`distribute-lft-out--_binary64_1042`
8×	`associate-/r/_binary64_1036`
6×	`add-exp-log_binary64_1123` `pow1_binary64_1146`
4×	`add-cbrt-cube_binary64_1121` `log-pow_binary64_1174` `cbrt-div_binary64_1117` `flip-+_binary64_1062` `pow1/3_binary64_1167` `add-log-exp_binary64_1124` `flip3-+_binary64_1091` `div-inv_binary64_1085`
2×	`rem-log-exp_binary64_1126` `log-div_binary64_1172`

Counts

4 → 166

Calls

4 calls:

11.0ms	(log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
11.0ms	(log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
9.0ms	(cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
9.0ms	(cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series289.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

107.0ms	(log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
94.0ms	(log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
45.0ms	(cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
42.0ms	(cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

simplify97.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5150	4456

prune339.0ms (7.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	178	2	180

Merged error: 0.0b

Counts

180 → 2

Compiler

Compiled 5312 to 4306 computations (18.9% saved)

regimes101.0ms (2.1%)

Compiler: Compiled 1020 to 866 computations (15.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms (0%)

sample2.6s (55.1%)

Algorithm

1×

intervals

Results

1.4s	3967×	body	1024	valid
385.0ms	2025×	body	512	valid
208.0ms	395×	body	2048	valid
109.0ms	1011×	body	256	valid
30.0ms	602×	body	128	valid

Compiler

Compiled 301 to 257 computations (14.6% saved)

Details

analyze4.0ms (0.1%)

sample81.0ms (1.7%)

simplify358.0ms (7.6%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite28.0ms (0.6%)

series83.0ms (1.8%)

simplify68.0ms (1.5%)

prune108.0ms (2.3%)

localize12.0ms (0.3%)

rewrite25.0ms (0.5%)

series282.0ms (6%)

simplify65.0ms (1.4%)

prune89.0ms (1.9%)

localize9.0ms (0.2%)

rewrite64.0ms (1.4%)

series289.0ms (6.1%)

simplify97.0ms (2.1%)

prune339.0ms (7.2%)

regimes101.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.6s (55.1%)

Profiling