Details

analyze1.1s (12.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

Compiler

Compiled 22 to 21 computations (4.5% saved)

sample81.0ms (0.9%)

Algorithm

1×

intervals

Results

22.0ms	305×	body	128	nan
21.0ms	256×	body	128	valid
3.0ms	37×	body	128	invalid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify221.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

prune3.0ms (0%)

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: 0.1b

Counts

2 → 1

Compiler

Compiled 42 to 40 computations (4.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x (log.f64 y)) z)
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
0.2b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite49.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_1197`
22×	`add-sqr-sqrt_binary64_1133`
20×	`add-log-exp_binary64_1150`
18×	`*-un-lft-identity_binary64_1111`
16×	`add-cube-cbrt_binary64_1146`
12×	`distribute-lft-in_binary64_1060` `distribute-rgt-in_binary64_1061`
11×	`sum-log_binary64_1202`
10×	`pow1_binary64_1172`
8×	`add-cbrt-cube_binary64_1147` `associate-r_binary64_1051` `associate-l_binary64_1052` `add-exp-log_binary64_1149`
7×	`associate-+l+_binary64_1044`
6×	`associate-*l/_binary64_1054` `associate-+r+_binary64_1043`
4×	`flip-+_binary64_1085` `flip3-+_binary64_1114` `frac-add_binary64_1119`
3×	`flip3--_binary64_1115` `flip--_binary64_1086`
2×	`*-commutative_binary64_1042` `prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `+-commutative_binary64_1041` `pow-prod-down_binary64_1182` `log-pow_binary64_1200` `unswap-sqr_binary64_1079`
1×	`difference-of-squares_binary64_1080` `distribute-lft-out--_binary64_1063`

Counts

4 → 96

Calls

4 calls:

16.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
8.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
6.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
5.0ms	(*.f64 x (log.f64 y))

series632.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

434.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
71.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
70.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
55.0ms	(*.f64 x (log.f64 y))

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5032	2089

prune330.0ms (3.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Merged error: 0.0b

Counts

109 → 8

Compiler

Compiled 6622 to 4070 computations (38.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 (sqrt.f64 c))) (+.f64 a (+.f64 t (+.f64 (.f64 x (log.f64 y)) z)))) (*.f64 (log.f64 (sqrt.f64 c)) (-.f64 b 1/2)))
0.2b	(*.f64 (log.f64 (sqrt.f64 c)) (-.f64 b 1/2))
0.2b	(*.f64 (-.f64 b 1/2) (log.f64 (sqrt.f64 c)))
0.3b	(*.f64 x (log.f64 y))

rewrite72.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_1133`
24×	`*-un-lft-identity_binary64_1111` `add-log-exp_binary64_1150`
20×	`add-cube-cbrt_binary64_1146` `frac-add_binary64_1119`
18×	`log-prod_binary64_1197`
17×	`distribute-lft-in_binary64_1060` `distribute-rgt-in_binary64_1061`
15×	`associate-r_binary64_1051` `pow1_binary64_1172` `sum-log_binary64_1202`
14×	`associate-l_binary64_1052` `associate-*r/_binary64_1053`
12×	`cancel-sign-sub-inv_binary64_1077` `flip3--_binary64_1115` `flip--_binary64_1086`
10×	`add-cbrt-cube_binary64_1147` `associate-*l/_binary64_1054` `add-exp-log_binary64_1149`
8×	`associate-+r+_binary64_1043`
7×	`flip-+_binary64_1085` `flip3-+_binary64_1114` `log-pow_binary64_1200`
6×	`sqrt-prod_binary64_1127`
4×	`sub-neg_binary64_1104`
3×	`*-commutative_binary64_1042` `prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `pow-prod-down_binary64_1182` `unswap-sqr_binary64_1079`
2×	`pow1/2_binary64_1191` `difference-of-squares_binary64_1080` `sqrt-pow1_binary64_1129` `distribute-lft-out--_binary64_1063`
1×	`associate-+l+_binary64_1044` `+-commutative_binary64_1041`

Counts

4 → 131

Calls

4 calls:

24.0ms	(+.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 (sqrt.f64 c))) (+.f64 a (+.f64 t (+.f64 (.f64 x (log.f64 y)) z)))) (*.f64 (log.f64 (sqrt.f64 c)) (-.f64 b 1/2)))
9.0ms	(*.f64 (-.f64 b 1/2) (log.f64 (sqrt.f64 c)))
9.0ms	(*.f64 (log.f64 (sqrt.f64 c)) (-.f64 b 1/2))
5.0ms	(*.f64 x (log.f64 y))

series727.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

574.0ms	(+.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 (sqrt.f64 c))) (+.f64 a (+.f64 t (+.f64 (.f64 x (log.f64 y)) z)))) (*.f64 (log.f64 (sqrt.f64 c)) (-.f64 b 1/2)))
54.0ms	(*.f64 x (log.f64 y))
51.0ms	(*.f64 (log.f64 (sqrt.f64 c)) (-.f64 b 1/2))
48.0ms	(*.f64 (-.f64 b 1/2) (log.f64 (sqrt.f64 c)))

simplify93.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4990	4437
1	4990	4437

prune278.0ms (3.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	143	8	151

Merged error: 0.0b

Counts

151 → 8

Compiler

Compiled 7035 to 3059 computations (56.5% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 y))
0.3b	(+.f64 (.f64 (-.f64 b 1/2) (log.f64 (fabs.f64 (cbrt.f64 c)))) (.f64 (-.f64 b 1/2) (log.f64 (sqrt.f64 (cbrt.f64 c)))))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`log-prod_binary64_1197`
20×	`add-sqr-sqrt_binary64_1133`
18×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146` `associate-+r+_binary64_1043`
15×	`distribute-lft-in_binary64_1060` `distribute-rgt-in_binary64_1061`
12×	`cbrt-prod_binary64_1142` `sqrt-prod_binary64_1127`
8×	`associate-*l/_binary64_1054`
7×	`pow1_binary64_1172`
6×	`add-cbrt-cube_binary64_1147` `associate-+l+_binary64_1044` `add-log-exp_binary64_1150` `add-exp-log_binary64_1149`
4×	`flip3--_binary64_1115` `associate-r_binary64_1051` `frac-add_binary64_1119` `flip--_binary64_1086`
3×	`associate-l_binary64_1052`
2×	`pow1/3_binary64_1193`
1×	`*-commutative_binary64_1042` `prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `flip-+_binary64_1085` `flip3-+_binary64_1114` `+-commutative_binary64_1041` `pow-prod-down_binary64_1182` `log-pow_binary64_1200` `unswap-sqr_binary64_1079` `distribute-lft-out_binary64_1062` `sum-log_binary64_1202`

Counts

4 → 87

Calls

4 calls:

13.0ms	(+.f64 (.f64 (-.f64 b 1/2) (log.f64 (fabs.f64 (cbrt.f64 c)))) (.f64 (-.f64 b 1/2) (log.f64 (sqrt.f64 (cbrt.f64 c)))))
5.0ms	(*.f64 x (log.f64 y))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series942.0ms (10.8%)

Counts

4 → 12

Calls

4 calls:

387.0ms	(+.f64 (.f64 (-.f64 b 1/2) (log.f64 (fabs.f64 (cbrt.f64 c)))) (.f64 (-.f64 b 1/2) (log.f64 (sqrt.f64 (cbrt.f64 c)))))
347.0ms	(cbrt.f64 c)
152.0ms	(cbrt.f64 c)
55.0ms	(*.f64 x (log.f64 y))

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4943	1690
1	4943	1690

prune203.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

Compiler

Compiled 4995 to 2125 computations (57.5% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (log.f64 (cbrt.f64 c)) (-.f64 b 1/2))
0.3b	(*.f64 x (log.f64 y))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1133`
16×	`*-un-lft-identity_binary64_1111`
14×	`add-cube-cbrt_binary64_1146`
10×	`pow1_binary64_1172`
9×	`associate-r_binary64_1051`
8×	`add-cbrt-cube_binary64_1147` `associate-l_binary64_1052` `add-exp-log_binary64_1149`
7×	`distribute-lft-in_binary64_1060` `distribute-rgt-in_binary64_1061`
6×	`log-prod_binary64_1197` `cancel-sign-sub-inv_binary64_1077` `cbrt-prod_binary64_1142`
4×	`add-log-exp_binary64_1150`
3×	`pow1/3_binary64_1193` `log-pow_binary64_1200`
2×	`-commutative_binary64_1042` `prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `pow-prod-down_binary64_1182` `unswap-sqr_binary64_1079` `sub-neg_binary64_1104` `associate-r/_binary64_1053`
1×	`flip3--_binary64_1115` `difference-of-squares_binary64_1080` `distribute-lft-out--_binary64_1063` `flip--_binary64_1086`

Counts

4 → 79

Calls

4 calls:

8.0ms	(*.f64 (log.f64 (cbrt.f64 c)) (-.f64 b 1/2))
5.0ms	(*.f64 x (log.f64 y))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series572.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

221.0ms	(*.f64 (log.f64 (cbrt.f64 c)) (-.f64 b 1/2))
158.0ms	(cbrt.f64 c)
142.0ms	(cbrt.f64 c)
50.0ms	(*.f64 x (log.f64 y))

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4876	890
1	4876	890

prune168.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

Compiler

Compiled 3840 to 1791 computations (53.4% saved)

regimes280.0ms (3.2%)

Compiler: Compiled 2723 to 2407 computations (11.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	50
1	47	50

end0.0ms (0%)

sample2.7s (30.5%)

Algorithm

1×

intervals

Results

729.0ms	9920×	body	128	nan
691.0ms	7999×	body	128	valid
107.0ms	1298×	body	128	invalid
1.0ms	1×	body	1024	valid

Compiler

Compiled 279 to 239 computations (14.3% saved)

Details

analyze1.1s (12.1%)

sample81.0ms (0.9%)

simplify221.0ms (2.5%)

prune3.0ms (0%)

localize17.0ms (0.2%)

rewrite49.0ms (0.6%)

series632.0ms (7.2%)

simplify69.0ms (0.8%)

prune330.0ms (3.8%)

localize21.0ms (0.2%)

rewrite72.0ms (0.8%)

series727.0ms (8.3%)

simplify93.0ms (1.1%)

prune278.0ms (3.2%)

localize31.0ms (0.4%)

rewrite35.0ms (0.4%)

series942.0ms (10.8%)

simplify62.0ms (0.7%)

prune203.0ms (2.3%)

localize22.0ms (0.3%)

rewrite28.0ms (0.3%)

series572.0ms (6.6%)

simplify61.0ms (0.7%)

prune168.0ms (1.9%)

regimes280.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.7s (30.5%)

Profiling