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)

sample84.0ms (1.9%)

Algorithm

1×

intervals

Results

47.0ms	113×	body	1024	valid
16.0ms	73×	body	512	valid
10.0ms	15×	body	2048	valid
4.0ms	35×	body	256	valid
1.0ms	20×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify180.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	450	15
1	450	15

prune8.0ms (0.2%)

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: 58.0b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.4b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_1111`
52×	`add-sqr-sqrt_binary64_1133`
48×	`times-frac_binary64_1117`
30×	`log-prod_binary64_1197`
25×	`add-cube-cbrt_binary64_1146`
18×	`difference-of-squares_binary64_1080`
13×	`distribute-lft-out_binary64_1062`
9×	`distribute-lft-out--_binary64_1063`
7×	`add-exp-log_binary64_1149`
6×	`associate-/r*_binary64_1055`
4×	`add-cbrt-cube_binary64_1147` `associate-/l*_binary64_1056` `associate-/r/_binary64_1057`
3×	`pow1_binary64_1172`
2×	`div-inv_binary64_1108` `flip3--_binary64_1115` `associate-/l/_binary64_1058` `div-exp_binary64_1162` `add-log-exp_binary64_1150` `rem-log-exp_binary64_1152` `flip--_binary64_1086`
1×	`flip-+_binary64_1085` `frac-2neg_binary64_1122` `flip3-+_binary64_1114` `log-pow_binary64_1200` `cbrt-undiv_binary64_1145` `log-div_binary64_1198` `clear-num_binary64_1110`

Counts

2 → 91

Calls

2 calls:

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

series81.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
25.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify89.0ms (2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5296	1898

prune195.0ms (4.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

Compiler

Compiled 2948 to 2449 computations (16.9% saved)

localize11.0ms (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))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_1133`
15×	`associate-l_binary64_1052`
13×	`add-exp-log_binary64_1149`
10×	`-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146` `associate-r*_binary64_1051`
8×	`unpow-prod-down_binary64_1190`
7×	`add-cbrt-cube_binary64_1147` `unswap-sqr_binary64_1079`
6×	`prod-exp_binary64_1160`
5×	`add-log-exp_binary64_1150`
4×	`cube-prod_binary64_1139` `sqr-pow_binary64_1083`
3×	`pow1_binary64_1172`
2×	`*-commutative_binary64_1042` `cbrt-unprod_binary64_1144` `pow-exp_binary64_1179` `pow-to-exp_binary64_1180`
1×	`cube-mult_binary64_1141` `flip-+_binary64_1085` `flip3-+_binary64_1114` `+-commutative_binary64_1041` `unpow3_binary64_1177` `sum-log_binary64_1202`

Counts

3 → 67

Calls

3 calls:

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

series297.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

182.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
66.0ms	(*.f64 2/5 (pow.f64 x 5))
49.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify94.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4838	889
1	4838	889

prune92.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	76	5	81

Merged error: 0.0b

Counts

81 → 5

Compiler

Compiled 1722 to 1259 computations (26.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
5.1b	(log.f64 (+.f64 1 x))
5.4b	(log.f64 (-.f64 1 x))

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_1111`
20×	`log-prod_binary64_1197`
16×	`add-sqr-sqrt_binary64_1133`
10×	`pow1_binary64_1172`
8×	`add-cube-cbrt_binary64_1146` `log-div_binary64_1198`
7×	`log-pow_binary64_1200`
6×	`distribute-lft-out--_binary64_1063` `associate--r+_binary64_1047`
5×	`difference-of-squares_binary64_1080` `add-exp-log_binary64_1149`
4×	`cancel-sign-sub-inv_binary64_1077` `associate--l+_binary64_1048`
3×	`add-cbrt-cube_binary64_1147` `flip3--_binary64_1115` `add-log-exp_binary64_1150` `flip--_binary64_1086`
2×	`flip-+_binary64_1085` `associate--r-_binary64_1050` `flip3-+_binary64_1114` `distribute-lft-out_binary64_1062` `rem-log-exp_binary64_1152` `associate--l-_binary64_1049`
1×	`diff-log_binary64_1203` `sub-neg_binary64_1104`

Counts

3 → 66

Calls

3 calls:

11.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series115.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

71.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
24.0ms	(log.f64 (-.f64 1 x))
20.0ms	(log.f64 (+.f64 1 x))

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5012	1093

prune85.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

Compiler

Compiled 1446 to 1180 computations (18.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.1b	(log.f64 (+.f64 1 x))
5.1b	(log.f64 (+.f64 1 x))
5.1b	(log.f64 (+.f64 1 x))
5.4b	(log.f64 (-.f64 1 x))

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`log-prod_binary64_1197`
17×	`*-un-lft-identity_binary64_1111`
11×	`add-sqr-sqrt_binary64_1133`
8×	`add-cube-cbrt_binary64_1146` `log-div_binary64_1198` `pow1_binary64_1172` `add-exp-log_binary64_1149`
4×	`add-cbrt-cube_binary64_1147` `log-pow_binary64_1200` `add-log-exp_binary64_1150` `rem-log-exp_binary64_1152`
3×	`flip-+_binary64_1085` `flip3-+_binary64_1114` `distribute-lft-out_binary64_1062`
2×	`difference-of-squares_binary64_1080`
1×	`flip3--_binary64_1115` `distribute-lft-out--_binary64_1063` `flip--_binary64_1086`

Counts

4 → 62

Calls

4 calls:

4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (+.f64 1 x))
4.0ms	(log.f64 (+.f64 1 x))
4.0ms	(log.f64 (+.f64 1 x))

series85.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(log.f64 (-.f64 1 x))
22.0ms	(log.f64 (+.f64 1 x))
19.0ms	(log.f64 (+.f64 1 x))
19.0ms	(log.f64 (+.f64 1 x))

simplify101.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4832	880
1	4832	880

prune123.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	73	5	78

Merged error: 0.0b

Counts

78 → 5

Compiler

Compiled 2286 to 1875 computations (18% saved)

regimes40.0ms (0.9%)

Compiler: Compiled 377 to 325 computations (13.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample2.7s (58.7%)

Algorithm

1×

intervals

Results

1.5s	3916×	body	1024	valid
429.0ms	1972×	body	512	valid
249.0ms	429×	body	2048	valid
133.0ms	1054×	body	256	valid
37.0ms	629×	body	128	valid

Compiler

Compiled 145 to 126 computations (13.1% saved)

Details

analyze5.0ms (0.1%)

sample84.0ms (1.9%)

simplify180.0ms (4%)

prune8.0ms (0.2%)

localize7.0ms (0.2%)

rewrite28.0ms (0.6%)

series81.0ms (1.8%)

simplify89.0ms (2%)

prune195.0ms (4.3%)

localize11.0ms (0.2%)

rewrite26.0ms (0.6%)

series297.0ms (6.5%)

simplify94.0ms (2.1%)

prune92.0ms (2%)

localize8.0ms (0.2%)

rewrite26.0ms (0.6%)

series115.0ms (2.5%)

simplify58.0ms (1.3%)

prune85.0ms (1.9%)

localize11.0ms (0.2%)

rewrite21.0ms (0.5%)

series85.0ms (1.9%)

simplify101.0ms (2.2%)

prune123.0ms (2.7%)

regimes40.0ms (0.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.7s (58.7%)

Profiling