Details

analyze1.8s (16.2%)

Algorithm

1×

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)

sample169.0ms (1.6%)

Algorithm

1×

intervals

Results

95.0ms	133×	body	2048	valid
34.0ms	79×	body	1024	valid
7.0ms	312×	pre	128	true
6.0ms	22×	body	1024	overflowed
5.0ms	23×	body	512	valid
3.0ms	7×	body	2048	overflowed
2.0ms	11×	body	512	overflowed
1.0ms	17×	body	128	valid
1.0ms	6×	body	256	overflowed
1.0ms	10×	body	128	overflowed
1.0ms	4×	body	256	valid

Compiler

Compiled 55 to 46 computations (16.4% saved)

simplify114.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

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

61.1b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize20.0ms (0.2%)

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))
3.1b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.5b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
4.8b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite34.0ms (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:

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)

series361.0ms (3.3%)

Counts

4 → 41

Calls

4 calls:

192.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
70.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
54.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)
45.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 2180 to 1650 computations (24.3% saved)

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4980	2566
1	4980	2566

prune177.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	131	6	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	6	138

Error

46.4b

Counts

138 → 6

Compiler

Compiled 4251 to 1744 computations (59% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 a eps) (-.f64 (exp.f64 (*.f64 b eps)) 1))
3.0b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 a eps) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
3.5b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
4.8b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite41.0ms (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:

14.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 a eps) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
9.0ms	(.f64 (.f64 a eps) (-.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)

series565.0ms (5.2%)

Counts

4 → 46

Calls

4 calls:

285.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 a eps) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
151.0ms	(.f64 (.f64 a eps) (-.f64 (exp.f64 (*.f64 b eps)) 1))
75.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
54.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 1920 to 1417 computations (26.2% saved)

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5649	2841

prune166.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	143	6	149

Error

0.1b

Counts

149 → 6

Compiler

Compiled 3684 to 1425 computations (61.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 eps (/.f64 (*.f64 a eps) b))
0.0b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 a eps) b)))))
0.0b	(+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 a eps) b))))
6.7b	(/.f64 (*.f64 a eps) b)

rewrite38.0ms (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:

16.0ms	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 a eps) b)))))
7.0ms	(+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 a eps) b))))
5.0ms	(+.f64 eps (/.f64 (*.f64 a eps) b))
5.0ms	(/.f64 (*.f64 a eps) b)

series569.0ms (5.2%)

Counts

4 → 52

Calls

4 calls:

223.0ms	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 a eps) b)))))
169.0ms	(+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 a eps) b))))
106.0ms	(/.f64 (*.f64 a eps) b)
70.0ms	(+.f64 eps (/.f64 (*.f64 a eps) b))

Compiler

Compiled 1376 to 1192 computations (13.4% saved)

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5092	2305

prune119.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	119	6	125

Error

0.0b

Counts

125 → 6

Compiler

Compiled 2653 to 1319 computations (50.3% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

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 a) (/.f64 1 b))

series58.0ms (0.5%)

Counts

1 → 12

Calls

1 calls:

58.0ms

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

Compiler

Compiled 102 to 126 computations (-23.5% saved)

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4871	341
1	4871	341

prune21.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Error

0.0b

Counts

37 → 7

Compiler

Compiled 294 to 224 computations (23.8% saved)

regimes310.0ms (2.9%)

Accuracy

Total 0.4b remaining (89%)

Threshold costs 0.4b (89%)

Compiler

Compiled 3858 to 2924 computations (24.2% saved)

bsearch3.0ms (0%)

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	133
1	52	133

end0.0ms (0%)

sample6.0s (55.1%)

Algorithm

1×

intervals

Results

3.0s	4034×	body	2048	valid
905.0ms	2400×	body	1024	valid
218.0ms	9628×	pre	128	true
174.0ms	773×	body	512	valid
171.0ms	362×	body	2048	overflowed
166.0ms	538×	body	1024	overflowed
59.0ms	301×	body	512	overflowed
36.0ms	532×	body	128	valid
36.0ms	254×	body	256	valid
21.0ms	144×	body	256	overflowed
19.0ms	281×	body	128	overflowed
13.0ms	7×	body	4096	valid
2.0ms	2×	body	2048	invalid

Compiler

Compiled 1075 to 799 computations (25.7% saved)

Details

analyze1.8s (16.2%)

sample169.0ms (1.6%)

simplify114.0ms (1%)

prune3.0ms (0%)

localize20.0ms (0.2%)

rewrite34.0ms (0.3%)

series361.0ms (3.3%)

simplify88.0ms (0.8%)

prune177.0ms (1.6%)

localize18.0ms (0.2%)

rewrite41.0ms (0.4%)

series565.0ms (5.2%)

simplify63.0ms (0.6%)

prune166.0ms (1.5%)

localize12.0ms (0.1%)

rewrite38.0ms (0.3%)

series569.0ms (5.2%)

simplify68.0ms (0.6%)

prune119.0ms (1.1%)

localize5.0ms (0%)

rewrite14.0ms (0.1%)

series58.0ms (0.5%)

simplify84.0ms (0.8%)

prune21.0ms (0.2%)

regimes310.0ms (2.9%)

bsearch3.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.0s (55.1%)

Profiling