Details

analyze94.0ms (3.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	70
1	133	70
0	4	4
1	4	4

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample32.0ms (1.1%)

Algorithm

1×

intervals

Results

15.0ms	256×	pre	128	true
7.0ms	256×	body	128	valid
0.0ms	1×	pre	128	false

Compiler

Compiled 31 to 31 computations (0% saved)

simplify7.0ms (0.3%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

9.0ms

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

series29.0ms (1%)

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify68.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5133	312

prune23.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Error

Counts

28 → 4

Compiler

Compiled 365 to 101 computations (72.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.5%)

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%)

Counts

2 → 6

Calls

2 calls:

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

simplify69.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5005	471

prune29.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	43	4	47

Error

Counts

47 → 4

Compiler

Compiled 590 to 156 computations (73.6% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
0.3b	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_760`
11×	`associate-l_binary64_701` `add-sqr-sqrt_binary64_782`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
7×	`sqrt-prod_binary64_776` `add-cube-cbrt_binary64_795` `associate-r_binary64_700`
4×	`associate-*l/_binary64_703` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
3×	`distribute-lft-out_binary64_711`
2×	`unswap-sqr_binary64_728` `flip3-+_binary64_763` `add-log-exp_binary64_799` `flip-+_binary64_734` `associate-r/_binary64_702` `-commutative_binary64_691`

Counts

2 → 49

Calls

2 calls:

13.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))
10.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))

series114.0ms (4%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
54.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))

simplify72.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4941	760
1	4941	760

prune33.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	55	4	59

Error

Counts

59 → 4

Compiler

Compiled 832 to 172 computations (79.3% saved)

localize19.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 b c) (+.f64 b c))
0.0b	(-.f64 (.f64 d d) (.f64 (+.f64 b c) d))
0.6b	(*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)))
15.8b	(/.f64 (.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) (+.f64 (.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (.f64 d d) (.f64 (+.f64 b c) d))))

rewrite89.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_760`
21×	`flip3-+_binary64_763` `flip-+_binary64_734`
19×	`distribute-lft-out_binary64_711`
18×	`associate-/r/_binary64_706`
17×	`associate-r_binary64_700`
16×	`frac-add_binary64_768` `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` `frac-times_binary64_770`
10×	`associate-*r/_binary64_702`
9×	`flip--_binary64_735` `flip3--_binary64_764`
8×	`cube-prod_binary64_788` `unpow-prod-down_binary64_839`
7×	`associate-l_binary64_701`
6×	`associate-*l/_binary64_703` `add-log-exp_binary64_799` `swap-sqr_binary64_727`
3×	`prod-exp_binary64_809` `associate-/r*_binary64_704` `cbrt-unprod_binary64_793` `times-frac_binary64_766`
2×	`unswap-sqr_binary64_728` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `div-exp_binary64_811` `pow-prod-down_binary64_831` `*-commutative_binary64_691`
1×	`pow2_binary64_841` `diff-log_binary64_852` `frac-2neg_binary64_771` `cancel-sign-sub-inv_binary64_726` `pow-sqr_binary64_733` `pow-plus_binary64_823` `div-inv_binary64_757` `associate-/l*_binary64_705` `sum-cubes_binary64_761` `clear-num_binary64_759` `pow-prod-up_binary64_830` `sub-neg_binary64_753` `distribute-rgt-out--_binary64_714`

Counts

4 → 126

Calls

4 calls:

35.0ms	(/.f64 (.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) (+.f64 (.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (.f64 d d) (.f64 (+.f64 b c) d))))
20.0ms	(*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)))
9.0ms	(*.f64 (+.f64 b c) (+.f64 b c))
4.0ms	(-.f64 (.f64 d d) (.f64 (+.f64 b c) d))

series675.0ms (23.4%)

Counts

4 → 12

Calls

4 calls:

324.0ms	(/.f64 (.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) (+.f64 (.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (.f64 d d) (.f64 (+.f64 b c) d))))
312.0ms	(*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)))
25.0ms	(-.f64 (.f64 d d) (.f64 (+.f64 b c) d))
14.0ms	(*.f64 (+.f64 b c) (+.f64 b c))

simplify75.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5007	3938

prune184.0ms (6.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	138	4	142

Error

Counts

142 → 4

Compiler

Compiled 5704 to 1821 computations (68.1% saved)

regimes154.0ms (5.3%)

Accuracy

Total 0.0b remaining (91.8%)

Threshold costs 0.0b (91.8%)

Compiler

Compiled 1299 to 930 computations (28.4% 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%)

sample981.0ms (34%)

Algorithm

1×

intervals

Results

334.0ms	8000×	pre	128	true
217.0ms	8000×	body	128	valid
3.0ms	75×	pre	128	false

Compiler

Compiled 200 to 146 computations (27% saved)

Details

analyze94.0ms (3.3%)

sample32.0ms (1.1%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite11.0ms (0.4%)

series29.0ms (1%)

simplify68.0ms (2.4%)

prune23.0ms (0.8%)

localize7.0ms (0.2%)

rewrite15.0ms (0.5%)

series59.0ms (2%)

simplify69.0ms (2.4%)

prune29.0ms (1%)

localize9.0ms (0.3%)

rewrite26.0ms (0.9%)

series114.0ms (4%)

simplify72.0ms (2.5%)

prune33.0ms (1.1%)

localize19.0ms (0.7%)

rewrite89.0ms (3.1%)

series675.0ms (23.4%)

simplify75.0ms (2.6%)

prune184.0ms (6.4%)

regimes154.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample981.0ms (34%)

Profiling