Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample26.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	128	true
7.0ms	256×	body	128	valid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify96.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 b c) d)
0.1b	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_760`
7×	`add-log-exp_binary64_799`
6×	`distribute-lft-out_binary64_711` `add-sqr-sqrt_binary64_782`
5×	`associate-r_binary64_700`
4×	`add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
3×	`sum-log_binary64_851` `associate-l_binary64_701`
2×	`flip3-+_binary64_763` `flip-+_binary64_734` `associate-*r/_binary64_702`
1×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `distribute-lft-in_binary64_709` `associate-+l+_binary64_693` `distribute-rgt-in_binary64_710` `+-commutative_binary64_690` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

2 → 39

Calls

2 calls:

14.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
6.0ms	(+.f64 (+.f64 b c) d)

series44.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
13.0ms	(+.f64 (+.f64 b c) d)

simplify65.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4970	499
1	4970	499

prune34.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

Counts

46 → 4

Compiler

Compiled 557 to 137 computations (75.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
0.0b	(*.f64 a (+.f64 b c))

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
4×	`add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `associate-r_binary64_700` `pow1_binary64_821`
3×	`associate-l_binary64_701`
2×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `distribute-lft-in_binary64_709` `associate-+l+_binary64_693` `distribute-rgt-in_binary64_710` `flip-+_binary64_734` `associate-*r/_binary64_702`
1×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `+-commutative_binary64_690` `sum-log_binary64_851` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

2 → 37

Calls

2 calls:

7.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
6.0ms	(*.f64 a (+.f64 b c))

series59.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
25.0ms	(*.f64 a (+.f64 b c))

simplify70.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5005	471

prune31.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	1	2
Picked	0	1	1
Done	1	0	1
Total	44	3	47

Error

Counts

47 → 3

Compiler

Compiled 584 to 151 computations (74.1% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 b c))
0.0b	(sqrt.f64 (+.f64 b c))
0.2b	(*.f64 a (sqrt.f64 (+.f64 b c)))
0.4b	(.f64 (.f64 a (sqrt.f64 (+.f64 b c))) (sqrt.f64 (+.f64 b c)))

rewrite33.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_760`
18×	`sqrt-div_binary64_777`
17×	`sqrt-prod_binary64_776` `add-sqr-sqrt_binary64_782`
14×	`associate-r_binary64_700`
13×	`pow1_binary64_821`
11×	`add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796`
10×	`associate-*r/_binary64_702`
9×	`flip3-+_binary64_763` `flip-+_binary64_734`
4×	`distribute-lft-out_binary64_711` `prod-exp_binary64_809` `add-log-exp_binary64_799` `frac-times_binary64_770` `associate-l_binary64_701` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
2×	`unswap-sqr_binary64_728` `rem-sqrt-square_binary64_773` `associate-l/_binary64_703` `sqrt-pow1_binary64_778` `pow1/2_binary64_840` `-commutative_binary64_691`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 b c))) (sqrt.f64 (+.f64 b c)))
7.0ms	(*.f64 a (sqrt.f64 (+.f64 b c)))
3.0ms	(sqrt.f64 (+.f64 b c))
3.0ms	(sqrt.f64 (+.f64 b c))

series152.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 b c))) (sqrt.f64 (+.f64 b c)))
50.0ms	(*.f64 a (sqrt.f64 (+.f64 b c)))
22.0ms	(sqrt.f64 (+.f64 b c))
21.0ms	(sqrt.f64 (+.f64 b c))

simplify82.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4950	1439
1	4950	1439

prune72.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Error

Counts

102 → 3

Compiler

Compiled 2056 to 487 computations (76.3% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
0.0b	(*.f64 (+.f64 b c) (+.f64 b c))
0.5b	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
6.9b	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))

rewrite59.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_760`
20×	`add-sqr-sqrt_binary64_782`
13×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
12×	`add-cube-cbrt_binary64_795`
8×	`distribute-lft-out_binary64_711` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `associate-r_binary64_700`
7×	`associate-l_binary64_701`
6×	`flip3-+_binary64_763` `associate-/r_binary64_704` `add-log-exp_binary64_799` `flip-+_binary64_734` `swap-sqr_binary64_727` `associate-r/_binary64_702` `associate--l+_binary64_697` `times-frac_binary64_766`
4×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `frac-times_binary64_770` `flip--_binary64_735` `flip3--_binary64_764`
3×	`prod-exp_binary64_809` `cancel-sign-sub-inv_binary64_726` `cbrt-unprod_binary64_793` `sub-neg_binary64_753`
2×	`unswap-sqr_binary64_728` `cbrt-undiv_binary64_794` `associate-l/_binary64_703` `associate-/r/_binary64_706` `associate-/l/_binary64_707` `div-exp_binary64_811` `pow-prod-down_binary64_831` `-commutative_binary64_691`
1×	`pow2_binary64_841` `diff-log_binary64_852` `frac-2neg_binary64_771` `pow-sqr_binary64_733` `pow-plus_binary64_823` `div-inv_binary64_757` `associate-/l*_binary64_705` `clear-num_binary64_759` `pow-prod-up_binary64_830`

Counts

4 → 115

Calls

4 calls:

18.0ms	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))
13.0ms	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
9.0ms	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
9.0ms	(*.f64 (+.f64 b c) (+.f64 b c))

series335.0ms (12.5%)

Counts

4 → 12

Calls

4 calls:

143.0ms	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))
130.0ms	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
49.0ms	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
13.0ms	(*.f64 (+.f64 b c) (+.f64 b c))

simplify74.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5054	2222

prune101.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	127	3	130

Error

Counts

130 → 3

Compiler

Compiled 2885 to 810 computations (71.9% saved)

regimes264.0ms (9.9%)

Accuracy

Total 0.0b remaining (98.7%)

Threshold costs 0.0b (98.7%)

Compiler

Compiled 2200 to 1566 computations (28.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample1.0s (37.6%)

Algorithm

1×

intervals

Results

320.0ms	8000×	pre	128	true
204.0ms	8000×	body	128	valid

Compiler

Compiled 282 to 206 computations (27% saved)

Details

analyze3.0ms (0.1%)

sample26.0ms (1%)

simplify96.0ms (3.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite22.0ms (0.8%)

series44.0ms (1.6%)

simplify65.0ms (2.4%)

prune34.0ms (1.3%)

localize6.0ms (0.2%)

rewrite15.0ms (0.6%)

series59.0ms (2.2%)

simplify70.0ms (2.6%)

prune31.0ms (1.1%)

localize8.0ms (0.3%)

rewrite33.0ms (1.2%)

series152.0ms (5.7%)

simplify82.0ms (3.1%)

prune72.0ms (2.7%)

localize12.0ms (0.4%)

rewrite59.0ms (2.2%)

series335.0ms (12.5%)

simplify74.0ms (2.8%)

prune101.0ms (3.7%)

regimes264.0ms (9.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (37.6%)

Profiling