Details

analyze3.1s (15.5%)

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)

sample323.0ms (1.6%)

Algorithm

1×

intervals

Results

196.0ms	142×	body	2048	valid
52.0ms	76×	body	1024	valid
11.0ms	296×	pre	128	true
10.0ms	17×	body	1024	overflowed
6.0ms	7×	body	2048	overflowed
5.0ms	11×	body	512	valid
4.0ms	13×	body	256	valid
3.0ms	8×	body	512	overflowed
2.0ms	14×	body	128	valid
1.0ms	6×	body	128	overflowed
0.0ms	2×	body	256	overflowed

Compiler

Compiled 55 to 46 computations (16.4% saved)

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5217	37

prune6.0ms (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

60.5b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
2.2b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
3.4b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.6b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite61.0ms (0.3%)

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:

20.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
9.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
8.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
8.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

series662.0ms (3.3%)

Counts

4 → 50

Calls

4 calls:

365.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
113.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
93.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
90.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 2512 to 1898 computations (24.4% saved)

simplify169.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	5048	3109

prune549.0ms (2.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	139	7	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	7	147

Error

51.6b

Counts

147 → 7

Compiler

Compiled 4831 to 2107 computations (56.4% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a eps) (-.f64 (exp.f64 (*.f64 b eps)) 1))
2.2b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
3.6b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
3.7b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 a eps) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

rewrite73.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
21×	`add-sqr-sqrt_binary64_1123`
18×	`*-un-lft-identity_binary64_1101`
12×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `cancel-sign-sub-inv_binary64_1067`
9×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
8×	`add-log-exp_binary64_1140`
7×	`associate-r_binary64_1041`
6×	`difference-of-squares_binary64_1070` `associate-*r/_binary64_1043` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
5×	`flip--_binary64_1076` `flip3--_binary64_1105`
4×	`sub-neg_binary64_1094` `distribute-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
3×	`difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053` `pow-prod-down_binary64_1172`
2×	`diff-log_binary64_1193` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047`
1×	`-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `times-frac_binary64_1107` `associate-l_binary64_1042` `associate-/r*_binary64_1045`

Counts

4 → 97

Calls

4 calls:

25.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 a eps) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
15.0ms	(.f64 (.f64 a eps) (-.f64 (exp.f64 (*.f64 b eps)) 1))
9.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
8.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

series905.0ms (4.5%)

Counts

4 → 47

Calls

4 calls:

403.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 a eps) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
280.0ms	(.f64 (.f64 a eps) (-.f64 (exp.f64 (*.f64 b eps)) 1))
136.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
86.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 2098 to 1553 computations (26% saved)

simplify164.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	5062	2845

prune273.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	141	3	144
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	146	5	151

Error

0.0b

Counts

151 → 5

Compiler

Compiled 3674 to 1423 computations (61.3% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 eps (/.f64 (*.f64 eps a) b))
0.0b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b)))))
0.0b	(+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b))))
7.9b	(/.f64 (*.f64 eps a) b)

rewrite63.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64_1140`
11×	`*-un-lft-identity_binary64_1101`
9×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
8×	`frac-add_binary64_1109`
6×	`add-sqr-sqrt_binary64_1123` `flip3-+_binary64_1104` `add-cube-cbrt_binary64_1136` `flip-+_binary64_1075`
5×	`sum-log_binary64_1192`
4×	`pow1_binary64_1162` `associate-*r/_binary64_1043`
3×	`distribute-lft-out_binary64_1052` `associate-+r+_binary64_1033` `times-frac_binary64_1107` `+-commutative_binary64_1031` `associate-/r*_binary64_1045`
2×	`div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `frac-2neg_binary64_1112` `distribute-lft-in_binary64_1050` `clear-num_binary64_1100` `associate-/l*_binary64_1046` `distribute-rgt-in_binary64_1051`

Counts

4 → 67

Calls

4 calls:

24.0ms	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b)))))
13.0ms	(+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b))))
8.0ms	(+.f64 eps (/.f64 (*.f64 eps a) b))
8.0ms	(/.f64 (*.f64 eps a) b)

series954.0ms (4.7%)

Counts

4 → 52

Calls

4 calls:

389.0ms	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b)))))
280.0ms	(+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b))))
171.0ms	(/.f64 (*.f64 eps a) b)
115.0ms	(+.f64 eps (/.f64 (*.f64 eps a) b))

Compiler

Compiled 1376 to 1192 computations (13.4% saved)

simplify152.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4981	2305
1	4981	2305

prune207.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	119	5	124

Error

Counts

124 → 5

Compiler

Compiled 2626 to 1290 computations (50.9% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite26.0ms (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:

23.0ms

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

series94.0ms (0.5%)

Counts

1 → 12

Calls

1 calls:

93.0ms

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

Compiler

Compiled 102 to 126 computations (-23.5% saved)

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4871	341
1	4871	341

prune37.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Error

Counts

36 → 5

Compiler

Compiled 294 to 224 computations (23.8% saved)

regimes505.0ms (2.5%)

Accuracy

Total 0.5b remaining (84%)

Threshold costs 0.5b (84%)

Compiler

Compiled 3414 to 2544 computations (25.5% saved)

bsearch4.0ms (0%)

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

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	52	133
1	52	133

Compiler

Compiled 172 to 98 computations (43% saved)

end0.0ms (0%)

sample11.5s (57.1%)

Algorithm

1×

intervals

Results

5.7s	3985×	body	2048	valid
1.8s	2472×	body	1024	valid
347.0ms	9643×	pre	128	true
346.0ms	379×	body	2048	overflowed
331.0ms	568×	body	1024	overflowed
309.0ms	708×	body	512	valid
120.0ms	295×	body	512	overflowed
74.0ms	578×	body	128	valid
69.0ms	243×	body	256	valid
36.0ms	14×	body	4096	valid
34.0ms	138×	body	256	overflowed
33.0ms	261×	body	128	overflowed
3.0ms	2×	body	2048	invalid

Compiler

Compiled 964 to 704 computations (27% saved)

Details

analyze3.1s (15.5%)

sample323.0ms (1.6%)

simplify39.0ms (0.2%)

prune6.0ms (0%)

localize30.0ms (0.1%)

rewrite61.0ms (0.3%)

series662.0ms (3.3%)

simplify169.0ms (0.8%)

prune549.0ms (2.7%)

localize27.0ms (0.1%)

rewrite73.0ms (0.4%)

series905.0ms (4.5%)

simplify164.0ms (0.8%)

prune273.0ms (1.4%)

localize24.0ms (0.1%)

rewrite63.0ms (0.3%)

series954.0ms (4.7%)

simplify152.0ms (0.8%)

prune207.0ms (1%)

localize9.0ms (0%)

rewrite26.0ms (0.1%)

series94.0ms (0.5%)

simplify145.0ms (0.7%)

prune37.0ms (0.2%)

regimes505.0ms (2.5%)

bsearch4.0ms (0%)

simplify25.0ms (0.1%)

end0.0ms (0%)

sample11.5s (57.1%)

Profiling