Details

analyze2.1s (16.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5719	148
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	49.9%	50.1%	0
0%	49.9%	50.1%	1
0%	49.9%	50.1%	2
0%	49.9%	50.1%	3
0%	49.9%	50.1%	4
0%	49.9%	50.1%	5
0%	49.9%	50.1%	6
0%	49.9%	50.1%	7
0%	49.9%	50.1%	8
0.4%	49.5%	50.1%	9
0.4%	49.3%	50.3%	10
0.6%	48.9%	50.5%	11
1.1%	48.1%	50.9%	12
1.5%	47.3%	51.2%	13
1.7%	46.9%	51.5%	14

Symmetry

(sort a b)

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample188.0ms (1.5%)

Algorithm

1×

intervals

Results

94.0ms	128×	body	2048	valid
28.0ms	74×	body	1024	valid
7.0ms	13×	body	2048	overflowed
7.0ms	21×	body	1024	overflowed
7.0ms	29×	body	512	valid
7.0ms	311×	pre	128	true
2.0ms	11×	body	256	valid
2.0ms	6×	body	512	overflowed
1.0ms	7×	body	256	overflowed
1.0ms	14×	body	128	valid
1.0ms	8×	body	128	overflowed

Compiler

Compiled 55 to 46 computations (16.4% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5217	37

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

60.9b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
4.0b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
4.3b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
6.7b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite159.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

60.9b

Rules

33×	`add-sqr-sqrt_binary64_1123`
26×	`*-un-lft-identity_binary64_1101`
15×	`cancel-sign-sub-inv_binary64_1067`
11×	`add-cube-cbrt_binary64_1136`
10×	`add-log-exp_binary64_1140` `difference-of-squares_binary64_1070`
9×	`flip3--_binary64_1105` `flip--_binary64_1076`
7×	`associate-l_binary64_1042` `associate-r_binary64_1041`
6×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
5×	`sub-neg_binary64_1094` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053`
4×	`frac-times_binary64_1111` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
3×	`diff-log_binary64_1193`
2×	`associate-l/_binary64_1044` `associate-r/_binary64_1043`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 3325 to 1407 computations (57.7% saved)

series435.0ms (3.4%)

Error

46.5b

Counts

4 → 45

Calls

4 calls:

201.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
67.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
53.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)
50.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 3845 to 2524 computations (34.4% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4996	2898
1	4996	2898

prune183.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	135	6	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	135	7	142

Error

46.3b

Counts

142 → 7

Compiler

Compiled 4585 to 1980 computations (56.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.8b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (.f64 b (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) b)))))
4.0b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
6.7b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
8.8b	(.f64 (.f64 1/2 (*.f64 eps eps)) b)

rewrite181.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

46.3b

Rules

34×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
15×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `add-sqr-sqrt_binary64_1123`
13×	`pow1_binary64_1162` `*-un-lft-identity_binary64_1101`
10×	`associate-*r/_binary64_1043`
8×	`add-log-exp_binary64_1140` `associate-/r/_binary64_1047`
7×	`add-cube-cbrt_binary64_1136`
6×	`pow-prod-down_binary64_1172` `flip3--_binary64_1105` `flip--_binary64_1076` `cancel-sign-sub-inv_binary64_1067` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
4×	`difference-of-squares_binary64_1070` `frac-times_binary64_1111`
3×	`associate-r_binary64_1041` `flip3-+_binary64_1104` `flip-+_binary64_1075`
2×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053` `associate-/l/_binary64_1048` `associate-*l/_binary64_1044`
1×	`associate-l_binary64_1042` `-commutative_binary64_1032` `frac-2neg_binary64_1112` `times-frac_binary64_1107` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-/r*_binary64_1045`

Counts

4 → 92

Calls

4 calls:

17.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (.f64 b (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) b)))))
8.0ms	(.f64 (.f64 1/2 (*.f64 eps eps)) b)
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 3999 to 1763 computations (55.9% saved)

series1.3s (9.7%)

Error

0.7b

Counts

4 → 42

Calls

4 calls:

932.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (.f64 b (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) b)))))
110.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
82.0ms	(.f64 (.f64 1/2 (*.f64 eps eps)) b)
57.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 5554 to 3489 computations (37.2% saved)

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5235	3839

prune192.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	135	6	141

Error

0.7b

Counts

141 → 6

Compiler

Compiled 5087 to 2231 computations (56.1% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

12.6b

(/.f64 (+.f64 b a) (*.f64 b a))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64_1101`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
4×	`times-frac_binary64_1107` `associate-/l*_binary64_1046`
3×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123`
2×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `distribute-lft-out_binary64_1052` `associate-/l/_binary64_1048`
1×	`pow1_binary64_1162` `prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/r*_binary64_1045`

Counts

1 → 25

Calls

1 calls:

6.0ms

(/.f64 (+.f64 b a) (*.f64 b a))

Compiler

Compiled 342 to 92 computations (73.1% saved)

series105.0ms (0.8%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

98.0ms

(/.f64 (+.f64 b a) (*.f64 b a))

Compiler

Compiled 162 to 171 computations (-5.6% saved)

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5070	408

prune31.0ms (0.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	37	6	43

Error

Counts

43 → 6

Compiler

Compiled 439 to 187 computations (57.4% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (/.f64 1 b) (/.f64 1 a))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`*-un-lft-identity_binary64_1101`
7×	`distribute-lft-out_binary64_1052`
6×	`times-frac_binary64_1107`
4×	`div-inv_binary64_1098`
3×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123`
1×	`sum-log_binary64_1192` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `frac-add_binary64_1109` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031`

Counts

1 → 19

Calls

1 calls:

13.0ms

(+.f64 (/.f64 1 b) (/.f64 1 a))

Compiler

Compiled 267 to 210 computations (21.3% saved)

series65.0ms (0.5%)

Error

Counts

1 → 12

Calls

1 calls:

60.0ms

(+.f64 (/.f64 1 b) (/.f64 1 a))

Compiler

Compiled 162 to 171 computations (-5.6% saved)

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4871	341
1	4871	341

prune18.0ms (0.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	31	6	37

Error

Counts

37 → 6

Compiler

Compiled 294 to 224 computations (23.8% saved)

regimes511.0ms (3.9%)

Accuracy

Total 0.9b remaining (95.4%)

Threshold costs 0.9b (95.4%)

Compiler

Compiled 7214 to 4992 computations (30.8% saved)

bsearch4.0ms (0%)

Compiler: Compiled 24 to 19 computations (20.8% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	148
1	63	148

Remove

(sort a b)

Compiler

Compiled 190 to 106 computations (44.2% saved)

end0.0ms (0%)

sample7.1s (54.9%)

Algorithm

1×

intervals

Results

3.4s	4176×	body	2048	valid
905.0ms	2317×	body	1024	valid
208.0ms	9728×	pre	128	true
202.0ms	631×	body	1024	overflowed
191.0ms	401×	body	2048	overflowed
172.0ms	738×	body	512	valid
57.0ms	279×	body	512	overflowed
36.0ms	525×	body	128	valid
35.0ms	228×	body	256	valid
20.0ms	293×	body	128	overflowed
18.0ms	16×	body	4096	valid
16.0ms	118×	body	256	overflowed
6.0ms	6×	body	2048	invalid

Compiler

Compiled 1923 to 1320 computations (31.4% saved)

Details

analyze2.1s (16.2%)

sample188.0ms (1.5%)

simplify22.0ms (0.2%)

prune3.0ms (0%)

localize17.0ms (0.1%)

rewrite159.0ms (1.2%)

series435.0ms (3.4%)

simplify55.0ms (0.4%)

prune183.0ms (1.4%)

localize22.0ms (0.2%)

rewrite181.0ms (1.4%)

series1.3s (9.7%)

simplify76.0ms (0.6%)

prune192.0ms (1.5%)

localize4.0ms (0%)

rewrite28.0ms (0.2%)

series105.0ms (0.8%)

simplify54.0ms (0.4%)

prune31.0ms (0.2%)

localize5.0ms (0%)

rewrite29.0ms (0.2%)

series65.0ms (0.5%)

simplify83.0ms (0.6%)

prune18.0ms (0.1%)

regimes511.0ms (3.9%)

bsearch4.0ms (0%)

simplify15.0ms (0.1%)

end0.0ms (0%)

sample7.1s (54.9%)

Profiling