Details

analyze2.2s (14.5%)

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

Symmetry

(sort a b)

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample203.0ms (1.3%)

Algorithm

1×

intervals

Results

110.0ms	138×	body	2048	valid
28.0ms	69×	body	1024	valid
9.0ms	322×	pre	128	true
7.0ms	13×	body	2048	overflowed
7.0ms	21×	body	1024	overflowed
6.0ms	24×	body	512	valid
4.0ms	18×	body	512	overflowed
2.0ms	21×	body	128	valid
1.0ms	11×	body	128	overflowed
1.0ms	4×	body	256	valid
0.0ms	3×	body	256	overflowed

Compiler

Compiled 55 to 46 computations (16.4% saved)

simplify22.0ms (0.1%)

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

59.5b

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))
2.5b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.3b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
4.8b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite162.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

59.5b

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:

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)

Compiler

Compiled 3325 to 1407 computations (57.7% saved)

series448.0ms (3%)

Error

47.1b

Counts

4 → 47

Calls

4 calls:

206.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
75.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
57.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)
49.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 3892 to 2529 computations (35% saved)

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5023	2823

prune183.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	135	8	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	8	144

Error

47.0b

Counts

144 → 8

Compiler

Compiled 4644 to 1999 computations (57% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.5b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
4.3b	(/.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)))))
4.8b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
5.9b	(.f64 (.f64 1/2 (*.f64 eps eps)) b)

rewrite200.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

46.9b

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:

18.0ms	(/.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)

series1.9s (12.5%)

Error

0.8b

Counts

4 → 40

Calls

4 calls:

1.5s	(/.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)))))
89.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
81.0ms	(.f64 (.f64 1/2 (*.f64 eps eps)) b)
44.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 7933 to 5226 computations (34.1% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5018	6235

prune272.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	5	132
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	132	8	140

Error

0.8b

Counts

140 → 8

Compiler

Compiled 6687 to 3077 computations (54% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

14.6b

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

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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)

series110.0ms (0.7%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

102.0ms

(/.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

prune32.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	40	5	45

Error

0.0b

Counts

45 → 5

Compiler

Compiled 491 to 218 computations (55.6% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 b a) a)
6.9b	(*.f64 (/.f64 1 b) (/.f64 (+.f64 b a) a))

rewrite90.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`add-sqr-sqrt_binary64_1123`
42×	`*-un-lft-identity_binary64_1101`
40×	`times-frac_binary64_1107`
26×	`add-exp-log_binary64_1139` `add-cube-cbrt_binary64_1136`
16×	`add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
13×	`associate-l_binary64_1042`
9×	`div-exp_binary64_1152`
8×	`prod-exp_binary64_1150`
7×	`distribute-lft-out_binary64_1052`
6×	`unswap-sqr_binary64_1069`
5×	`cbrt-undiv_binary64_1135`
4×	`pow1_binary64_1162` `cbrt-unprod_binary64_1134` `associate-/l*_binary64_1046`
3×	`div-inv_binary64_1098` `associate-/r*_binary64_1045`
2×	`1-exp_binary64_1145` `rec-exp_binary64_1151` `add-log-exp_binary64_1140` `associate-/l/_binary64_1048`
1×	`pow-prod-down_binary64_1172` `frac-times_binary64_1111` `associate-l/_binary64_1044` `associate-r/_binary64_1043` `*-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip3-+_binary64_1104` `flip-+_binary64_1075`

Counts

2 → 92

Calls

2 calls:

14.0ms	(*.f64 (/.f64 1 b) (/.f64 (+.f64 b a) a))
5.0ms	(/.f64 (+.f64 b a) a)

Compiler

Compiled 1580 to 605 computations (61.7% saved)

series183.0ms (1.2%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

105.0ms	(*.f64 (/.f64 1 b) (/.f64 (+.f64 b a) a))
68.0ms	(/.f64 (+.f64 b a) a)

Compiler

Compiled 396 to 373 computations (5.8% saved)

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5152	1421

prune67.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	116	5	121

Error

0.0b

Counts

121 → 5

Compiler

Compiled 1468 to 489 computations (66.7% saved)

regimes708.0ms (4.7%)

Accuracy

Total 0.3b remaining (84.5%)

Threshold costs 0.3b (84.5%)

Compiler

Compiled 10826 to 7296 computations (32.6% saved)

bsearch6.0ms (0%)

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	137
1	57	137

Compiler

Compiled 176 to 102 computations (42% saved)

end0.0ms (0%)

sample8.0s (52.8%)

Algorithm

1×

intervals

Results

3.3s	4161×	body	2048	valid
986.0ms	2356×	body	1024	valid
215.0ms	411×	body	2048	overflowed
207.0ms	9746×	pre	128	true
199.0ms	584×	body	1024	overflowed
186.0ms	735×	body	512	valid
68.0ms	304×	body	512	overflowed
39.0ms	245×	body	256	valid
37.0ms	491×	body	128	valid
28.0ms	169×	body	256	overflowed
24.0ms	272×	body	128	overflowed
18.0ms	12×	body	4096	valid
4.0ms	6×	body	2048	invalid

Compiler

Compiled 2819 to 1894 computations (32.8% saved)

Details

analyze2.2s (14.5%)

sample203.0ms (1.3%)

simplify22.0ms (0.1%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite162.0ms (1.1%)

series448.0ms (3%)

simplify52.0ms (0.3%)

prune183.0ms (1.2%)

localize21.0ms (0.1%)

rewrite200.0ms (1.3%)

series1.9s (12.5%)

simplify69.0ms (0.5%)

prune272.0ms (1.8%)

localize4.0ms (0%)

rewrite26.0ms (0.2%)

series110.0ms (0.7%)

simplify54.0ms (0.4%)

prune32.0ms (0.2%)

localize6.0ms (0%)

rewrite90.0ms (0.6%)

series183.0ms (1.2%)

simplify83.0ms (0.6%)

prune67.0ms (0.4%)

regimes708.0ms (4.7%)

bsearch6.0ms (0%)

simplify17.0ms (0.1%)

end0.0ms (0%)

sample8.0s (52.8%)

Profiling