Details

analyze1.7s (12.4%)

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)

sample175.0ms (1.3%)

Algorithm

1×

intervals

Results

105.0ms	137×	body	2048	valid
26.0ms	70×	body	1024	valid
8.0ms	22×	body	512	valid
7.0ms	304×	pre	128	true
5.0ms	16×	body	1024	overflowed
4.0ms	8×	body	2048	overflowed
2.0ms	10×	body	512	overflowed
2.0ms	12×	body	256	valid
1.0ms	15×	body	128	valid
1.0ms	14×	body	128	overflowed

Compiler

Compiled 55 to 46 computations (16.4% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

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

60.5b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize15.0ms (0.1%)

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))
2.5b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
2.7b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
4.2b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_782`
26×	`*-un-lft-identity_binary64_760`
15×	`cancel-sign-sub-inv_binary64_726`
11×	`add-cube-cbrt_binary64_795`
10×	`add-log-exp_binary64_799` `difference-of-squares_binary64_729`
9×	`flip--_binary64_735` `flip3--_binary64_764`
7×	`associate-r_binary64_700` `associate-l_binary64_701`
6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
5×	`difference-of-sqr-1_binary64_730` `distribute-lft-out--_binary64_712` `sub-neg_binary64_753`
4×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `frac-times_binary64_770`
3×	`diff-log_binary64_852`
2×	`associate-l/_binary64_703` `associate-r/_binary64_702`
1×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

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)

series146.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
47.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
24.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
24.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4967	2058
1	4967	2058

prune126.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	4	109

Error

50.8b

Counts

109 → 4

Compiler

Compiled 3418 to 1405 computations (58.9% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 b eps) (.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps)))))))
3.5b	(.f64 b (.f64 1/6 (pow.f64 eps 3)))
4.2b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
9.7b	(.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps))))

rewrite51.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64_798`
26×	`add-cbrt-cube_binary64_796`
14×	`prod-exp_binary64_809`
12×	`add-sqr-sqrt_binary64_782`
11×	`pow1_binary64_821`
10×	`*-un-lft-identity_binary64_760` `cbrt-unprod_binary64_793`
8×	`associate-/r/_binary64_706`
7×	`add-cube-cbrt_binary64_795`
6×	`add-log-exp_binary64_799` `associate-*r/_binary64_702`
5×	`flip--_binary64_735` `flip3--_binary64_764`
4×	`cbrt-undiv_binary64_794` `flip3-+_binary64_763` `flip-+_binary64_734` `frac-times_binary64_770` `associate-r_binary64_700` `associate-l_binary64_701` `div-exp_binary64_811` `pow-prod-down_binary64_831`
3×	`cancel-sign-sub-inv_binary64_726`
2×	`associate-l/_binary64_703` `associate-/l/_binary64_707` `difference-of-squares_binary64_729` `-commutative_binary64_691`
1×	`diff-log_binary64_852` `unswap-sqr_binary64_728` `frac-2neg_binary64_771` `distribute-lft-in_binary64_709` `associate-/r_binary64_704` `pow-exp_binary64_828` `div-inv_binary64_757` `distribute-rgt-in_binary64_710` `associate-/l_binary64_705` `difference-of-sqr-1_binary64_730` `pow-to-exp_binary64_829` `distribute-lft-out--_binary64_712` `clear-num_binary64_759` `sub-neg_binary64_753` `times-frac_binary64_766`

Counts

4 → 91

Calls

4 calls:

16.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 b eps) (.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps)))))))
12.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps))))
6.0ms	(.f64 b (.f64 1/6 (pow.f64 eps 3)))
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

series4.5s (33.2%)

Counts

4 → 12

Calls

4 calls:

4.4s	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 b eps) (.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps)))))))
101.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps))))
43.0ms	(.f64 b (.f64 1/6 (pow.f64 eps 3)))
41.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5017	3682

prune209.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	105	2	107

Error

0.2b

Counts

107 → 2

Compiler

Compiled 5176 to 2515 computations (51.4% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_760`
7×	`distribute-lft-out_binary64_711`
6×	`times-frac_binary64_766`
4×	`div-inv_binary64_757`
3×	`add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `add-sqr-sqrt_binary64_782`
1×	`flip3-+_binary64_763` `add-exp-log_binary64_798` `frac-add_binary64_768` `flip-+_binary64_734` `add-cbrt-cube_binary64_796` `+-commutative_binary64_690` `sum-log_binary64_851` `pow1_binary64_821`

Counts

1 → 19

Calls

1 calls:

14.0ms

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

series10.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4871	287
1	4871	287

prune18.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	20	4	24

Error

0.2b

Counts

24 → 4

Compiler

Compiled 281 to 219 computations (22.1% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

14.4b

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

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_760`
6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
4×	`associate-/l*_binary64_705` `times-frac_binary64_766`
3×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
2×	`cbrt-undiv_binary64_794` `distribute-lft-out_binary64_711` `associate-/l/_binary64_707` `div-exp_binary64_811`
1×	`frac-2neg_binary64_771` `prod-exp_binary64_809` `flip3-+_binary64_763` `associate-/r*_binary64_704` `add-log-exp_binary64_799` `div-inv_binary64_757` `flip-+_binary64_734` `cbrt-unprod_binary64_793` `pow1_binary64_821` `clear-num_binary64_759`

Counts

1 → 25

Calls

1 calls:

6.0ms

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

series34.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5070	354

prune16.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	28	4	32

Error

0.2b

Counts

32 → 4

Compiler

Compiled 316 to 94 computations (70.3% saved)

regimes287.0ms (2.1%)

Accuracy

Total 0.3b remaining (84.1%)

Threshold costs 0.3b (84.1%)

Compiler

Compiled 3858 to 2696 computations (30.1% saved)

bsearch2.0ms (0%)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	133
1	52	133

Compiler

Compiled 172 to 98 computations (43% saved)

end0.0ms (0%)

sample5.9s (43.3%)

Algorithm

1×

intervals

Results

3.0s	4096×	body	2048	valid
891.0ms	2365×	body	1024	valid
237.0ms	9688×	pre	128	true
174.0ms	375×	body	2048	overflowed
172.0ms	568×	body	1024	overflowed
164.0ms	728×	body	512	valid
59.0ms	292×	body	512	overflowed
37.0ms	553×	body	128	valid
37.0ms	246×	body	256	valid
20.0ms	297×	body	128	overflowed
20.0ms	154×	body	256	overflowed
16.0ms	12×	body	4096	valid
2.0ms	2×	body	2048	invalid

Compiler

Compiled 1075 to 742 computations (31% saved)

Details

analyze1.7s (12.4%)

sample175.0ms (1.3%)

simplify23.0ms (0.2%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite34.0ms (0.3%)

series146.0ms (1.1%)

simplify97.0ms (0.7%)

prune126.0ms (0.9%)

localize27.0ms (0.2%)

rewrite51.0ms (0.4%)

series4.5s (33.2%)

simplify72.0ms (0.5%)

prune209.0ms (1.5%)

localize5.0ms (0%)

rewrite16.0ms (0.1%)

series10.0ms (0.1%)

simplify82.0ms (0.6%)

prune18.0ms (0.1%)

localize4.0ms (0%)

rewrite8.0ms (0.1%)

series34.0ms (0.2%)

simplify55.0ms (0.4%)

prune16.0ms (0.1%)

regimes287.0ms (2.1%)

bsearch2.0ms (0%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample5.9s (43.3%)

Profiling