Details

analyze2.4s (16.7%)

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

Symmetry

(sort a b)

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample211.0ms (1.5%)

Algorithm

1×

intervals

Results

110.0ms	120×	body	2048	valid
42.0ms	87×	body	1024	valid
7.0ms	292×	pre	128	true
7.0ms	23×	body	512	valid
5.0ms	6×	body	2048	overflowed
3.0ms	7×	body	1024	overflowed
2.0ms	7×	body	512	overflowed
2.0ms	17×	body	128	valid
2.0ms	10×	body	256	overflowed
1.0ms	9×	body	256	valid
1.0ms	6×	body	128	overflowed

Compiler

Compiled 55 to 46 computations (16.4% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

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

60.1b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
2.6b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.7b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
5.0b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite208.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

60.1b

Rules

33×	`add-sqr-sqrt_binary64_441`
26×	`*-un-lft-identity_binary64_419`
15×	`cancel-sign-sub-inv_binary64_385`
11×	`add-cube-cbrt_binary64_454`
10×	`add-log-exp_binary64_458` `difference-of-squares_binary64_388`
9×	`flip3--_binary64_423` `flip--_binary64_394`
7×	`associate-l_binary64_360` `associate-r_binary64_359`
6×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`sub-neg_binary64_412` `difference-of-sqr-1_binary64_389` `distribute-lft-out--_binary64_371`
4×	`frac-times_binary64_429` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`diff-log_binary64_511`
2×	`associate-l/_binary64_362` `associate-r/_binary64_361`
1×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

4 → 96

Calls

4 calls:

22.0ms	(.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)

series538.0ms (3.7%)

Error

47.5b

Counts

4 → 43

Calls

4 calls:

240.0ms	(.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)
75.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
67.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 3661 to 2396 computations (34.6% saved)

simplify114.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5011	2836

prune217.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	134	5	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	5	140

Error

47.4b

Counts

140 → 5

Compiler

Compiled 4436 to 1895 computations (57.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1))
2.6b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
2.8b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (*.f64 eps b)))
5.0b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite181.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

47.4b

Rules

27×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
24×	`add-sqr-sqrt_binary64_441`
19×	`*-un-lft-identity_binary64_419`
12×	`cancel-sign-sub-inv_binary64_385`
10×	`add-cube-cbrt_binary64_454` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
8×	`add-log-exp_binary64_458`
7×	`associate-r_binary64_359`
6×	`pow1_binary64_480` `difference-of-squares_binary64_388` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
5×	`flip3--_binary64_423` `flip--_binary64_394`
4×	`sub-neg_binary64_412` `associate-*r/_binary64_361` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`difference-of-sqr-1_binary64_389` `distribute-lft-out--_binary64_371` `associate-l_binary64_360`
2×	`diff-log_binary64_511` `associate-/l/_binary64_366` `associate-*l/_binary64_362` `associate-/r/_binary64_365`
1×	`frac-2neg_binary64_430` `times-frac_binary64_425` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `associate-/r_binary64_363` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

4 → 97

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)))
9.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
8.0ms	(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1))
4.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 3151 to 1201 computations (61.9% saved)

series723.0ms (5%)

Error

0.1b

Counts

4 → 47

Calls

4 calls:

354.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (*.f64 eps b)))
157.0ms	(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1))
86.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
58.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 3029 to 1841 computations (39.2% saved)

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5266	2882

prune187.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	145	4	149

Error

0.1b

Counts

149 → 4

Compiler

Compiled 3721 to 1468 computations (60.5% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 eps (/.f64 (*.f64 eps b) a))
0.0b	(+.f64 (/.f64 1 b) (.f64 1/2 (+.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)))))
5.3b	(/.f64 (*.f64 eps b) a)

rewrite118.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-log-exp_binary64_458`
11×	`*-un-lft-identity_binary64_419`
9×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`frac-add_binary64_427`
6×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `flip3-+_binary64_422` `flip-+_binary64_393`
5×	`sum-log_binary64_510`
4×	`pow1_binary64_480` `associate-*r/_binary64_361`
3×	`times-frac_binary64_425` `associate-/r*_binary64_363` `distribute-lft-out_binary64_370` `associate-+r+_binary64_351` `+-commutative_binary64_349`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `div-inv_binary64_416`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/l*_binary64_364` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`

Counts

4 → 67

Calls

4 calls:

17.0ms	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps b) a)))))
8.0ms	(/.f64 (*.f64 eps b) a)
7.0ms	(+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps b) a))))
5.0ms	(+.f64 eps (/.f64 (*.f64 eps b) a))

Compiler

Compiled 2059 to 956 computations (53.6% saved)

series690.0ms (4.8%)

Error

0.0b

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)))))
187.0ms	(+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps b) a))))
121.0ms	(/.f64 (*.f64 eps b) a)
73.0ms	(+.f64 eps (/.f64 (*.f64 eps b) a))

Compiler

Compiled 2122 to 1623 computations (23.5% saved)

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4970	2315
1	4970	2315

prune166.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	117	7	124

Error

0.0b

Counts

124 → 7

Compiler

Compiled 2718 to 1507 computations (44.6% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite43.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`*-un-lft-identity_binary64_419`
7×	`distribute-lft-out_binary64_370`
6×	`times-frac_binary64_425`
4×	`div-inv_binary64_416`
3×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
1×	`sum-log_binary64_510` `pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `frac-add_binary64_427` `flip3-+_binary64_422` `flip-+_binary64_393` `+-commutative_binary64_349`

Counts

1 → 19

Calls

1 calls:

19.0ms

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

Compiler

Compiled 267 to 210 computations (21.3% saved)

series70.0ms (0.5%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

64.0ms

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

Compiler

Compiled 162 to 171 computations (-5.6% saved)

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4871	341
1	4871	341

prune31.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	31	7	38

Error

0.0b

Counts

38 → 7

Compiler

Compiled 294 to 224 computations (23.8% saved)

regimes434.0ms (3%)

Accuracy

Total 0.3b remaining (74.9%)

Threshold costs 0.3b (74.9%)

Compiler

Compiled 4966 to 3564 computations (28.2% saved)

bsearch6.0ms (0%)

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

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	64	163
1	64	163

Remove

(sort a b)

Compiler

Compiled 210 to 118 computations (43.8% saved)

end0.0ms (0%)

sample7.7s (53.5%)

Algorithm

1×

intervals

Results

3.7s	4110×	body	2048	valid
1.1s	2320×	body	1024	valid
230.0ms	9756×	pre	128	true
227.0ms	614×	body	1024	overflowed
215.0ms	370×	body	2048	overflowed
201.0ms	733×	body	512	valid
72.0ms	304×	body	512	overflowed
45.0ms	565×	body	128	valid
43.0ms	260×	body	256	valid
26.0ms	148×	body	256	overflowed
25.0ms	316×	body	128	overflowed
23.0ms	12×	body	4096	valid
3.0ms	4×	body	2048	invalid

Compiler

Compiled 1371 to 969 computations (29.3% saved)

Details

analyze2.4s (16.7%)

sample211.0ms (1.5%)

simplify25.0ms (0.2%)

prune6.0ms (0%)

localize18.0ms (0.1%)

rewrite208.0ms (1.4%)

series538.0ms (3.7%)

simplify114.0ms (0.8%)

prune217.0ms (1.5%)

localize18.0ms (0.1%)

rewrite181.0ms (1.3%)

series723.0ms (5%)

simplify68.0ms (0.5%)

prune187.0ms (1.3%)

localize22.0ms (0.2%)

rewrite118.0ms (0.8%)

series690.0ms (4.8%)

simplify79.0ms (0.6%)

prune166.0ms (1.2%)

localize4.0ms (0%)

rewrite43.0ms (0.3%)

series70.0ms (0.5%)

simplify94.0ms (0.7%)

prune31.0ms (0.2%)

regimes434.0ms (3%)

bsearch6.0ms (0%)

simplify27.0ms (0.2%)

end0.0ms (0%)

sample7.7s (53.5%)

Profiling