Details

analyze1.7s (11.7%)

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

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample166.0ms (1.1%)

Algorithm

1×

intervals

Results

84.0ms	114×	body	2048	valid
34.0ms	90×	body	1024	valid
13.0ms	306×	pre	128	true
6.0ms	21×	body	1024	overflowed
4.0ms	18×	body	512	valid
4.0ms	9×	body	2048	overflowed
2.0ms	26×	body	128	valid
1.0ms	7×	body	512	overflowed
1.0ms	8×	body	256	valid
1.0ms	6×	body	256	overflowed
0.0ms	7×	body	128	overflowed

Compiler

Compiled 55 to 46 computations (16.4% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5217	37

prune5.0ms (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

58.1b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
1.7b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.6b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
4.1b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

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×	`difference-of-squares_binary64_1070` `add-log-exp_binary64_1140`
9×	`flip--_binary64_1076` `flip3--_binary64_1105`
7×	`associate-r_binary64_1041` `associate-l_binary64_1042`
6×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `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-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
3×	`diff-log_binary64_1193`
2×	`associate-r/_binary64_1043` `associate-l/_binary64_1044`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

4 → 96

Calls

4 calls:

11.0ms	(.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 b eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

series145.0ms (1%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
46.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
26.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
24.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4967	2058
1	4967	2058

prune137.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	3	109

Error

47.4b

Counts

109 → 3

Compiler

Compiled 3429 to 1411 computations (58.9% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.5b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 b eps) (.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps))))))
3.6b	(.f64 b (.f64 1/6 (pow.f64 eps 3)))
4.1b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
11.3b	(.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps))))

rewrite45.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64_1139`
20×	`add-sqr-sqrt_binary64_1123`
16×	`add-cbrt-cube_binary64_1137`
15×	`*-un-lft-identity_binary64_1101`
13×	`pow1_binary64_1162`
11×	`prod-exp_binary64_1150` `associate-l_binary64_1042`
9×	`add-cube-cbrt_binary64_1136`
7×	`cbrt-unprod_binary64_1134` `associate-r_binary64_1041`
6×	`add-log-exp_binary64_1140`
5×	`pow-prod-down_binary64_1172`
4×	`difference-of-squares_binary64_1070` `frac-times_binary64_1111` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `associate-*r/_binary64_1043` `flip-+_binary64_1075`
3×	`*-commutative_binary64_1032` `cancel-sign-sub-inv_binary64_1067`
2×	`difference-of-sqr-1_binary64_1071` `distribute-lft-in_binary64_1050` `distribute-lft-out--_binary64_1053` `unswap-sqr_binary64_1069` `associate-*l/_binary64_1044` `distribute-rgt-in_binary64_1051`
1×	`diff-log_binary64_1193` `pow-exp_binary64_1169` `sub-neg_binary64_1094` `pow-to-exp_binary64_1170`

Counts

4 → 92

Calls

4 calls:

12.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps))))
10.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 b eps) (.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps))))))
6.0ms	(.f64 b (.f64 1/6 (pow.f64 eps 3)))
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

series399.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 b eps) (.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps))))))
92.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps))))
44.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
40.0ms	(.f64 b (.f64 1/6 (pow.f64 eps 3)))

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5167	2978

prune193.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	101	6	107

Error

46.7b

Counts

107 → 6

Compiler

Compiled 5181 to 2482 computations (52.1% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.8b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (pow.f64 (.f64 (+.f64 -1 (exp.f64 (.f64 eps a))) (.f64 b (+.f64 (.f64 b (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 b 1/6) eps) 1/2))) eps))) 1))
3.5b	(.f64 (+.f64 -1 (exp.f64 (.f64 eps a))) (.f64 b (+.f64 (.f64 b (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 b 1/6) eps) 1/2))) eps)))
4.1b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
4.7b	(.f64 b (.f64 (.f64 eps eps) (+.f64 (.f64 (*.f64 b 1/6) eps) 1/2)))

rewrite69.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-exp-log_binary64_1139`
23×	`add-cbrt-cube_binary64_1137`
20×	`prod-exp_binary64_1150`
18×	`pow1_binary64_1162`
14×	`-un-lft-identity_binary64_1101` `associate-r/_binary64_1043`
13×	`add-sqr-sqrt_binary64_1123`
10×	`cbrt-unprod_binary64_1134` `div-exp_binary64_1152`
9×	`add-cube-cbrt_binary64_1136` `pow-prod-down_binary64_1172`
8×	`distribute-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
7×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-l_binary64_1042`
6×	`pow-exp_binary64_1169` `add-log-exp_binary64_1140`
5×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
4×	`frac-times_binary64_1111`
3×	`cancel-sign-sub-inv_binary64_1067`
2×	`-commutative_binary64_1032` `unpow-prod-down_binary64_1180` `difference-of-squares_binary64_1070` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l/_binary64_1048` `associate-r_binary64_1041` `cbrt-undiv_binary64_1135` `associate-l/_binary64_1044` `sqr-pow_binary64_1073` `pow-to-exp_binary64_1170`
1×	`diff-log_binary64_1193` `distribute-lft-out_binary64_1052` `frac-2neg_binary64_1112` `sub-neg_binary64_1094` `difference-of-sqr-1_binary64_1071` `clear-num_binary64_1100` `distribute-lft-out--_binary64_1053` `div-inv_binary64_1098` `associate-/l*_binary64_1046`

Counts

4 → 111

Calls

4 calls:

23.0ms	(.f64 (+.f64 -1 (exp.f64 (.f64 eps a))) (.f64 b (+.f64 (.f64 b (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 b 1/6) eps) 1/2))) eps)))
14.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (pow.f64 (.f64 (+.f64 -1 (exp.f64 (.f64 eps a))) (.f64 b (+.f64 (.f64 b (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 b 1/6) eps) 1/2))) eps))) 1))
13.0ms	(.f64 b (.f64 (.f64 eps eps) (+.f64 (.f64 (*.f64 b 1/6) eps) 1/2)))
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

series4.3s (29.9%)

Counts

4 → 12

Calls

4 calls:

4.0s	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (pow.f64 (.f64 (+.f64 -1 (exp.f64 (.f64 eps a))) (.f64 b (+.f64 (.f64 b (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 b 1/6) eps) 1/2))) eps))) 1))
187.0ms	(.f64 (+.f64 -1 (exp.f64 (.f64 eps a))) (.f64 b (+.f64 (.f64 b (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 b 1/6) eps) 1/2))) eps)))
73.0ms	(.f64 b (.f64 (.f64 eps eps) (+.f64 (.f64 (*.f64 b 1/6) eps) 1/2)))
47.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5696	5195

prune235.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	124	5	129

Error

0.0b

Counts

129 → 5

Compiler

Compiled 6057 to 3116 computations (48.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

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-sqr-sqrt_binary64_1123` `add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136`
1×	`sum-log_binary64_1192` `add-exp-log_binary64_1139` `pow1_binary64_1162` `flip3-+_binary64_1104` `add-cbrt-cube_binary64_1137` `+-commutative_binary64_1031` `flip-+_binary64_1075` `frac-add_binary64_1109`

Counts

1 → 19

Calls

1 calls:

13.0ms

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

series11.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4871	287
1	4871	287

prune19.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	20	7	27

Error

0.0b

Counts

27 → 7

Compiler

Compiled 255 to 197 computations (22.7% saved)

regimes390.0ms (2.7%)

Accuracy

Total 0.2b remaining (76.8%)

Threshold costs 0.2b (76.8%)

Compiler

Compiled 5190 to 3704 computations (28.6% saved)

bsearch3.0ms (0%)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	148
1	57	148

Compiler

Compiled 190 to 106 computations (44.2% saved)

end0.0ms (0%)

sample6.2s (42.4%)

Algorithm

1×

intervals

Results

3.0s	4054×	body	2048	valid
926.0ms	2450×	body	1024	valid
229.0ms	9768×	pre	128	true
188.0ms	628×	body	1024	overflowed
179.0ms	380×	body	2048	overflowed
165.0ms	743×	body	512	valid
63.0ms	303×	body	512	overflowed
34.0ms	507×	body	128	valid
32.0ms	226×	body	256	valid
28.0ms	20×	body	4096	valid
23.0ms	307×	body	128	overflowed
21.0ms	149×	body	256	overflowed
1.0ms	1×	body	2048	invalid

Compiler

Compiled 1417 to 998 computations (29.6% saved)

Details

analyze1.7s (11.7%)

sample166.0ms (1.1%)

simplify23.0ms (0.2%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite34.0ms (0.2%)

series145.0ms (1%)

simplify92.0ms (0.6%)

prune137.0ms (0.9%)

localize26.0ms (0.2%)

rewrite45.0ms (0.3%)

series399.0ms (2.7%)

simplify86.0ms (0.6%)

prune193.0ms (1.3%)

localize22.0ms (0.2%)

rewrite69.0ms (0.5%)

series4.3s (29.9%)

simplify86.0ms (0.6%)

prune235.0ms (1.6%)

localize5.0ms (0%)

rewrite14.0ms (0.1%)

series11.0ms (0.1%)

simplify83.0ms (0.6%)

prune19.0ms (0.1%)

regimes390.0ms (2.7%)

bsearch3.0ms (0%)

simplify11.0ms (0.1%)

end0.0ms (0%)

sample6.2s (42.4%)

Profiling