Details

analyze2.4s (11.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5136	473
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample47.0ms (0.2%)

Algorithm

1×

intervals

Results

24.0ms	248×	body	128	valid
1.0ms	5×	body	512	invalid
1.0ms	4×	body	512	valid
1.0ms	3×	body	1024	invalid
1.0ms	3×	body	256	valid
1.0ms	6×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5097	43

prune7.0ms (0%)

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

Error

14.0b

Counts

2 → 1

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
0.0b	(*.f64 K (+.f64 m n))
32.8b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite304.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

13.9b

Rules

21×	`add-sqr-sqrt_binary64_1123`
18×	`*-un-lft-identity_binary64_1101`
12×	`add-cube-cbrt_binary64_1136` `associate-r_binary64_1041`
9×	`pow1_binary64_1162`
8×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
7×	`cancel-sign-sub-inv_binary64_1067`
6×	`associate-l_binary64_1042` `unpow-prod-down_binary64_1180`
5×	`exp-sum_binary64_1147`
4×	`cos-sum_binary64_1235` `add-log-exp_binary64_1140`
3×	`associate-*r/_binary64_1043` `pow-unpow_binary64_1178`
2×	`sub-neg_binary64_1094` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `distribute-lft-out_binary64_1052` `*-commutative_binary64_1032` `difference-of-squares_binary64_1070`
1×	`cos-diff_binary64_1238` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `flip3-+_binary64_1104` `flip-+_binary64_1075` `times-frac_binary64_1107` `distribute-lft-out--_binary64_1053` `pow-pow_binary64_1173` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `unpow2_binary64_1166` `sqr-pow_binary64_1073` `exp-diff_binary64_1149`

Counts

4 → 80

Calls

4 calls:

24.0ms	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
7.0ms	(*.f64 K (+.f64 m n))

Compiler

Compiled 2883 to 1433 computations (50.3% saved)

series2.0s (9.1%)

Error

1.6b

Counts

4 → 66

Calls

4 calls:

1.1s	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
444.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
164.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
111.0ms	(*.f64 K (+.f64 m n))

Compiler

Compiled 5995 to 4248 computations (29.1% saved)

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5066	3592

prune245.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	141	5	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	5	147

Error

1.5b

Counts

147 → 5

Compiler

Compiled 3151 to 1567 computations (50.3% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

rewrite141.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

1.5b

Rules

14×	`*-un-lft-identity_binary64_1101`
12×	`add-sqr-sqrt_binary64_1123`
7×	`add-log-exp_binary64_1140`
6×	`unpow-prod-down_binary64_1180`
5×	`add-cube-cbrt_binary64_1136`
4×	`cancel-sign-sub-inv_binary64_1067`
3×	`difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053` `pow-unpow_binary64_1178` `pow1_binary64_1162` `add-exp-log_binary64_1139`
2×	`add-cbrt-cube_binary64_1137` `diff-log_binary64_1193` `distribute-lft-out_binary64_1052`
1×	`times-frac_binary64_1107` `pow-pow_binary64_1173` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `unpow2_binary64_1166` `sqr-pow_binary64_1073` `sum-log_binary64_1192` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `associate--r+_binary64_1037`

Counts

2 → 41

Calls

2 calls:

17.0ms	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
13.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 1151 to 595 computations (48.3% saved)

series1.6s (7.2%)

Error

1.5b

Counts

2 → 60

Calls

2 calls:

1.0s	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
433.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 3297 to 2478 computations (24.8% saved)

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4969	2463
1	4969	2463

prune154.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	101	5	106

Error

1.5b

Counts

106 → 5

Compiler

Compiled 1600 to 796 computations (50.3% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 K (+.f64 m n))
0.0b	(log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))))
0.1b	(exp.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
32.8b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite316.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

1.5b

Rules

13×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
11×	`add-cube-cbrt_binary64_1136`
8×	`cos-sum_binary64_1235` `log-prod_binary64_1187`
7×	`add-exp-log_binary64_1139`
6×	`cancel-sign-sub-inv_binary64_1067` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
5×	`add-log-exp_binary64_1140`
4×	`exp-diff_binary64_1149` `unpow-prod-down_binary64_1180` `associate-r_binary64_1041`
3×	`cos-diff_binary64_1238` `exp-prod_binary64_1153` `rem-log-exp_binary64_1142` `associate-l_binary64_1042`
2×	`sub-neg_binary64_1094` `exp-sum_binary64_1147` `associate-*r/_binary64_1043`
1×	`rem-exp-log_binary64_1141` `log-pow_binary64_1190` `sqr-pow_binary64_1073` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `flip3-+_binary64_1104` `flip-+_binary64_1075` `distribute-lft-out_binary64_1052` `*-commutative_binary64_1032`

Counts

4 → 70

Calls

4 calls:

11.0ms	(log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))))
10.0ms	(exp.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
9.0ms	(*.f64 K (+.f64 m n))

Compiler

Compiled 2897 to 1479 computations (48.9% saved)

series4.7s (21.7%)

Error

1.5b

Counts

4 → 51

Calls

4 calls:

4.1s	(log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))))
253.0ms	(exp.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
170.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
111.0ms	(*.f64 K (+.f64 m n))

Compiler

Compiled 5182 to 3826 computations (26.2% saved)

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5304	3317

prune238.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	122	4	126

Error

1.5b

Counts

126 → 4

Compiler

Compiled 2619 to 1341 computations (48.8% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.4b	(-.f64 (.f64 m m) (.f64 n n))
8.2b	(.f64 K (-.f64 (.f64 m m) (*.f64 n n)))
13.1b	(/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))
32.8b	(cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n)) 2) M))

rewrite321.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

1.5b

Rules

15×	`add-sqr-sqrt_binary64_1123`
13×	`*-un-lft-identity_binary64_1101`
11×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`add-cube-cbrt_binary64_1136`
6×	`cancel-sign-sub-inv_binary64_1067` `pow1_binary64_1162` `add-log-exp_binary64_1140`
5×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
4×	`sub-neg_binary64_1094` `cos-sum_binary64_1235` `difference-of-squares_binary64_1070` `flip3--_binary64_1105` `associate-r/_binary64_1043` `flip--_binary64_1076` `associate-r*_binary64_1041`
3×	`associate-l_binary64_1042`
2×	`prod-exp_binary64_1150` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `cbrt-unprod_binary64_1134` `distribute-lft-out--_binary64_1053` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
1×	`cos-diff_binary64_1238` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `-commutative_binary64_1032` `diff-log_binary64_1193`

Counts

4 → 79

Calls

4 calls:

21.0ms	(cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n)) 2) M))
11.0ms	(/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))
8.0ms	(.f64 K (-.f64 (.f64 m m) (*.f64 n n)))
4.0ms	(-.f64 (.f64 m m) (.f64 n n))

Compiler

Compiled 3678 to 1465 computations (60.2% saved)

series969.0ms (4.5%)

Error

1.5b

Counts

4 → 45

Calls

4 calls:

302.0ms	(/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))
291.0ms	(cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n)) 2) M))
224.0ms	(.f64 K (-.f64 (.f64 m m) (*.f64 n n)))
99.0ms	(-.f64 (.f64 m m) (.f64 n n))

Compiler

Compiled 3638 to 2733 computations (24.9% saved)

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5030	2077

prune274.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	122	6	128

Error

1.5b

Counts

128 → 6

Compiler

Compiled 3059 to 1396 computations (54.4% saved)

regimes5.7s (26.3%)

Accuracy

Total 0.3b remaining (22.1%)

Threshold costs 0.3b (22.1%)

Compiler

Compiled 71444 to 54417 computations (23.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	65
1	77	65

end3.0ms (0%)

Compiler: Compiled 41 to 31 computations (24.4% saved)

sample1.8s (8.5%)

Algorithm

1×

intervals

Results

784.0ms	7851×	body	128	valid
256.0ms	79×	body	1024	invalid
29.0ms	287×	body	128	invalid
27.0ms	62×	body	1024	valid
22.0ms	76×	body	512	invalid
19.0ms	61×	body	512	valid
16.0ms	57×	body	256	invalid
9.0ms	17×	body	2048	invalid
6.0ms	26×	body	256	valid

Compiler

Compiled 304 to 236 computations (22.4% saved)

Details

analyze2.4s (11.1%)

sample47.0ms (0.2%)

simplify54.0ms (0.3%)

prune7.0ms (0%)

localize26.0ms (0.1%)

rewrite304.0ms (1.4%)

series2.0s (9.1%)

simplify81.0ms (0.4%)

prune245.0ms (1.1%)

localize14.0ms (0.1%)

rewrite141.0ms (0.7%)

series1.6s (7.2%)

simplify66.0ms (0.3%)

prune154.0ms (0.7%)

localize22.0ms (0.1%)

rewrite316.0ms (1.5%)

series4.7s (21.7%)

simplify76.0ms (0.4%)

prune238.0ms (1.1%)

localize26.0ms (0.1%)

rewrite321.0ms (1.5%)

series969.0ms (4.5%)

simplify70.0ms (0.3%)

prune274.0ms (1.3%)

regimes5.7s (26.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end3.0ms (0%)

sample1.8s (8.5%)

Profiling