Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample32.0ms (1.5%)

Algorithm

1×

intervals

Results

16.0ms	134×	body	1024	valid
4.0ms	57×	body	512	valid
3.0ms	256×	pre	128	true
2.0ms	12×	body	2048	valid
1.0ms	37×	body	256	valid
0.0ms	16×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify102.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

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

Merged error: 58.8b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.6b	(-.f64 (exp.f64 x) 1)

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1123`
5×	`*-un-lft-identity_binary64_1101`
3×	`add-log-exp_binary64_1140` `cancel-sign-sub-inv_binary64_1067`
2×	`difference-of-squares_binary64_1070` `add-cube-cbrt_binary64_1136`
1×	`diff-log_binary64_1193` `add-exp-log_binary64_1139` `pow1_binary64_1162` `sub-neg_binary64_1094` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `add-cbrt-cube_binary64_1137`

Counts

1 → 18

Calls

1 calls:

5.0ms

(-.f64 (exp.f64 x) 1)

series9.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

9.0ms

(-.f64 (exp.f64 x) 1)

simplify74.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4935	199
1	4935	199

prune24.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	3	22

Merged error: 0.1b

Counts

22 → 3

Compiler

Compiled 194 to 123 computations (36.6% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.0b	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.3b	(*.f64 x 1/6)

rewrite23.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1123` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
9×	`associate-l_binary64_1042`
8×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
7×	`associate-r_binary64_1041`
6×	`associate-*r/_binary64_1043`
5×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-in_binary64_1050` `pow-prod-down_binary64_1172` `distribute-rgt-in_binary64_1051`
3×	`*-commutative_binary64_1032` `add-log-exp_binary64_1140`
2×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `unswap-sqr_binary64_1069`

Counts

3 → 64

Calls

3 calls:

7.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series91.0ms (4.1%)

Counts

3 → 9

Calls

3 calls:

41.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
38.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
13.0ms	(*.f64 x 1/6)

simplify71.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4922	823
1	4922	823

prune58.0ms (2.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Merged error: 0.1b

Counts

76 → 3

Compiler

Compiled 1122 to 766 computations (31.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.6b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
5.6b	(-.f64 (exp.f64 x) 1)

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_1123`
12×	`*-un-lft-identity_binary64_1101`
8×	`log-pow_binary64_1190`
7×	`exp-prod_binary64_1153` `log-prod_binary64_1187`
6×	`add-cube-cbrt_binary64_1136` `cancel-sign-sub-inv_binary64_1067`
4×	`exp-sum_binary64_1147` `difference-of-squares_binary64_1070` `add-log-exp_binary64_1140`
3×	`pow1_binary64_1162`
2×	`add-exp-log_binary64_1139` `sub-neg_binary64_1094` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053` `add-cbrt-cube_binary64_1137`
1×	`diff-log_binary64_1193` `rem-log-exp_binary64_1142` `exp-diff_binary64_1149` `flip--_binary64_1076` `flip3--_binary64_1105` `log-div_binary64_1188`

Counts

2 → 42

Calls

2 calls:

6.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
5.0ms	(-.f64 (exp.f64 x) 1)

series94.0ms (4.3%)

Counts

2 → 6

Calls

2 calls:

84.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
10.0ms	(-.f64 (exp.f64 x) 1)

simplify82.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4985	426
1	4985	426

prune29.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	48	3	51

Merged error: 0.1b

Counts

51 → 3

Compiler

Compiled 442 to 290 computations (34.4% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(+.f64 1 (sqrt.f64 (exp.f64 x)))
0.0b	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
5.7b	(+.f64 -1 (sqrt.f64 (exp.f64 x)))

rewrite27.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_1101`
13×	`add-sqr-sqrt_binary64_1123`
8×	`add-log-exp_binary64_1140` `flip3-+_binary64_1104` `add-cube-cbrt_binary64_1136` `flip-+_binary64_1075`
7×	`pow1_binary64_1162`
6×	`distribute-lft-out_binary64_1052` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
5×	`sqrt-prod_binary64_1117` `associate-l_binary64_1042`
4×	`frac-times_binary64_1111` `sqrt-pow1_binary64_1119` `associate-r_binary64_1041`
3×	`exp-prod_binary64_1153`
2×	`sum-log_binary64_1192` `associate-r/_binary64_1043` `+-commutative_binary64_1031` `associate-l/_binary64_1044`
1×	`*-commutative_binary64_1032` `rem-sqrt-square_binary64_1114` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-in_binary64_1050` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051` `pow1/2_binary64_1181`

Counts

4 → 72

Calls

4 calls:

11.0ms	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
4.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 x)))
4.0ms	(+.f64 1 (sqrt.f64 (exp.f64 x)))
2.0ms	(sqrt.f64 (exp.f64 x))

series87.0ms (4%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
17.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 x)))
14.0ms	(+.f64 1 (sqrt.f64 (exp.f64 x)))
13.0ms	(sqrt.f64 (exp.f64 x))

simplify69.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5213	1033

prune59.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	84	3	87

Merged error: 0.1b

Counts

87 → 3

Compiler

Compiled 1237 to 657 computations (46.9% saved)

regimes66.0ms (3%)

Compiler: Compiled 516 to 407 computations (21.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample1.2s (52.5%)

Algorithm

1×

intervals

Results

496.0ms	3962×	body	1024	valid
130.0ms	2041×	body	512	valid
101.0ms	8000×	pre	128	true
57.0ms	413×	body	2048	valid
41.0ms	1018×	body	256	valid
12.0ms	566×	body	128	valid

Compiler

Compiled 148 to 115 computations (22.3% saved)

Details

analyze3.0ms (0.1%)

sample32.0ms (1.5%)

simplify102.0ms (4.6%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite6.0ms (0.3%)

series9.0ms (0.4%)

simplify74.0ms (3.4%)

prune24.0ms (1.1%)

localize7.0ms (0.3%)

rewrite23.0ms (1.1%)

series91.0ms (4.1%)

simplify71.0ms (3.2%)

prune58.0ms (2.6%)

localize5.0ms (0.2%)

rewrite14.0ms (0.6%)

series94.0ms (4.3%)

simplify82.0ms (3.7%)

prune29.0ms (1.3%)

localize6.0ms (0.3%)

rewrite27.0ms (1.2%)

series87.0ms (4%)

simplify69.0ms (3.2%)

prune59.0ms (2.7%)

regimes66.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (52.5%)

Profiling