Details

analyze2.6s (18.3%)

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)

sample202.0ms (1.4%)

Algorithm

1×

intervals

Results

102.0ms	120×	body	2048	valid
33.0ms	74×	body	1024	valid
9.0ms	38×	body	512	valid
8.0ms	25×	body	1024	overflowed
7.0ms	12×	body	2048	overflowed
7.0ms	317×	pre	128	true
1.0ms	6×	body	256	overflowed
1.0ms	17×	body	128	valid
1.0ms	14×	body	128	overflowed
1.0ms	7×	body	256	valid
1.0ms	4×	body	512	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

60.0b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
3.3b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.7b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
6.0b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite191.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

60.0b

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

Compiler

Compiled 3325 to 1407 computations (57.7% saved)

series455.0ms (3.2%)

Error

47.5b

Counts

4 → 36

Calls

4 calls:

202.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
84.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
71.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
41.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 2804 to 1834 computations (34.6% saved)

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5153	2397

prune183.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	127	5	132
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	127	6	133

Error

47.4b

Counts

133 → 6

Compiler

Compiled 4021 to 1648 computations (59% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 a b) eps)
3.3b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.4b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (*.f64 eps b)))
6.0b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite170.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

47.2b

Rules

27×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
18×	`add-sqr-sqrt_binary64_1123`
16×	`*-un-lft-identity_binary64_1101`
10×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
8×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136`
6×	`pow1_binary64_1162` `cancel-sign-sub-inv_binary64_1067` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
4×	`flip3--_binary64_1105` `flip--_binary64_1076` `difference-of-squares_binary64_1070` `associate-l/_binary64_1044` `associate-l*_binary64_1042`
3×	`associate-r_binary64_1041`
2×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053` `associate-*r/_binary64_1043` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047`
1×	`frac-2neg_binary64_1112` `times-frac_binary64_1107` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `flip3-+_binary64_1104` `flip-+_binary64_1075` `distribute-lft-out_binary64_1052` `*-commutative_binary64_1032`

Counts

4 → 86

Calls

4 calls:

15.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (*.f64 eps b)))
6.0ms	(*.f64 (+.f64 a b) eps)
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 2755 to 1068 computations (61.2% saved)

series678.0ms (4.8%)

Error

0.0b

Counts

4 → 49

Calls

4 calls:

327.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (*.f64 eps b)))
115.0ms	(*.f64 (+.f64 a b) eps)
107.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
60.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 3130 to 1888 computations (39.7% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5190	2413

prune176.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	137	4	141

Error

0.0b

Counts

141 → 4

Compiler

Compiled 3353 to 1354 computations (59.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps b) a))))
0.0b	(+.f64 eps (/.f64 (*.f64 eps b) a))
0.0b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps b) a)))))
5.0b	(/.f64 (*.f64 eps b) a)

rewrite149.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `flip3-+_binary64_1104` `flip-+_binary64_1075`
5×	`sum-log_binary64_1192`
4×	`pow1_binary64_1162` `associate-*r/_binary64_1043`
3×	`times-frac_binary64_1107` `associate-/r*_binary64_1045` `distribute-lft-out_binary64_1052` `associate-+r+_binary64_1033` `+-commutative_binary64_1031`
2×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `div-inv_binary64_1098`
1×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l*_binary64_1046` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`

Counts

4 → 67

Calls

4 calls:

14.0ms	(+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps b) a))))
13.0ms	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps b) a)))))
8.0ms	(+.f64 eps (/.f64 (*.f64 eps b) a))
4.0ms	(/.f64 (*.f64 eps b) a)

Compiler

Compiled 2059 to 956 computations (53.6% saved)

series666.0ms (4.8%)

Error

Counts

4 → 53

Calls

4 calls:

260.0ms	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps b) a)))))
174.0ms	(+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps b) a))))
109.0ms	(/.f64 (*.f64 eps b) a)
71.0ms	(+.f64 eps (/.f64 (*.f64 eps b) a))

Compiler

Compiled 2122 to 1623 computations (23.5% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4970	2315
1	4970	2315

prune129.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	121	3	124

Error

Counts

124 → 3

Compiler

Compiled 2510 to 1370 computations (45.4% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite32.0ms (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:

15.0ms

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

Compiler

Compiled 267 to 210 computations (21.3% saved)

series87.0ms (0.6%)

Error

Counts

1 → 12

Calls

1 calls:

81.0ms

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

Compiler

Compiled 162 to 171 computations (-5.6% saved)

simplify122.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4871	341
1	4871	341

prune22.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	31	3	34

Error

Counts

34 → 3

Compiler

Compiled 294 to 224 computations (23.8% saved)

regimes353.0ms (2.5%)

Accuracy

Total 0.2b remaining (63%)

Threshold costs 0.2b (63%)

Compiler

Compiled 3394 to 2552 computations (24.8% saved)

bsearch5.0ms (0%)

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	133
1	52	133

Remove

(sort a b)

Compiler

Compiled 172 to 98 computations (43% saved)

end0.0ms (0%)

sample7.5s (53.6%)

Algorithm

1×

intervals

Results

3.8s	4087×	body	2048	valid
1.1s	2380×	body	1024	valid
249.0ms	9673×	pre	128	true
218.0ms	362×	body	2048	overflowed
214.0ms	751×	body	512	valid
208.0ms	575×	body	1024	overflowed
71.0ms	281×	body	512	overflowed
46.0ms	532×	body	128	valid
44.0ms	238×	body	256	valid
25.0ms	159×	body	256	overflowed
23.0ms	293×	body	128	overflowed
18.0ms	12×	body	4096	valid
2.0ms	3×	body	2048	invalid

Compiler

Compiled 959 to 706 computations (26.4% saved)

Details

analyze2.6s (18.3%)

sample202.0ms (1.4%)

simplify22.0ms (0.2%)

prune3.0ms (0%)

localize32.0ms (0.2%)

rewrite191.0ms (1.4%)

series455.0ms (3.2%)

simplify67.0ms (0.5%)

prune183.0ms (1.3%)

localize14.0ms (0.1%)

rewrite170.0ms (1.2%)

series678.0ms (4.8%)

simplify55.0ms (0.4%)

prune176.0ms (1.3%)

localize10.0ms (0.1%)

rewrite149.0ms (1.1%)

series666.0ms (4.8%)

simplify81.0ms (0.6%)

prune129.0ms (0.9%)

localize4.0ms (0%)

rewrite32.0ms (0.2%)

series87.0ms (0.6%)

simplify122.0ms (0.9%)

prune22.0ms (0.2%)

regimes353.0ms (2.5%)

bsearch5.0ms (0%)

simplify14.0ms (0.1%)

end0.0ms (0%)

sample7.5s (53.6%)

Profiling