Details

analyze469.0ms (25.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1429	40
1	1429	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample16.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	20×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify38.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	569	10
1	569	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)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite13.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
6×	`cancel-sign-sub-inv_binary64_726` `associate-r_binary64_700`
5×	`add-cube-cbrt_binary64_795`
4×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `frac-times_binary64_770` `associate-l_binary64_701`
3×	`flip3-+_binary64_763` `add-exp-log_binary64_798` `flip-+_binary64_734` `add-cbrt-cube_binary64_796` `pow1_binary64_821` `flip--_binary64_735` `flip3--_binary64_764`
2×	`associate-l/_binary64_703` `difference-of-squares_binary64_729` `associate-r/_binary64_702` `sub-neg_binary64_753`
1×	`unswap-sqr_binary64_728` `distribute-lft-out_binary64_711` `prod-exp_binary64_809` `add-log-exp_binary64_799` `distribute-lft-out--_binary64_712` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

1 → 38

Calls

1 calls:

10.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

series27.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

27.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

simplify58.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5049	608

prune32.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Error

Counts

42 → 3

Compiler

Compiled 561 to 252 computations (55.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
0.0b	(*.f64 (+.f64 x y) (neg.f64 z))

rewrite19.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`associate-r_binary64_700`
8×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
7×	`add-log-exp_binary64_799`
6×	`associate-*l/_binary64_703` `flip3-+_binary64_763` `add-cube-cbrt_binary64_795` `flip-+_binary64_734`
4×	`add-exp-log_binary64_798` `frac-add_binary64_768` `add-cbrt-cube_binary64_796` `associate-l_binary64_701` `pow1_binary64_821`
3×	`distribute-lft-neg-in_binary64_717` `sum-log_binary64_851` `distribute-rgt-neg-in_binary64_718`
2×	`distribute-rgt-neg-out_binary64_720`
1×	`neg-mul-1_binary64_756` `unswap-sqr_binary64_728` `distribute-lft-out_binary64_711` `prod-exp_binary64_809` `associate-+l+_binary64_693` `unsub-neg_binary64_754` `+-commutative_binary64_690` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

2 → 47

Calls

2 calls:

8.0ms	(*.f64 (+.f64 x y) (neg.f64 z))
7.0ms	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))

series67.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

36.0ms	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
31.0ms	(*.f64 (+.f64 x y) (neg.f64 z))

simplify69.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5091	787

prune36.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	53	3	56

Error

Counts

56 → 3

Compiler

Compiled 820 to 239 computations (70.9% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
0.1b	(pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 3)
38.9b	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 3))

rewrite32.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cube-div_binary64_789`
14×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
12×	`frac-times_binary64_770`
9×	`flip3-+_binary64_763` `add-cube-cbrt_binary64_795` `flip-+_binary64_734` `flip--_binary64_735` `flip3--_binary64_764`
8×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `cbrt-div_binary64_792` `cbrt-prod_binary64_791` `pow1_binary64_821`
6×	`associate-l/_binary64_703` `cancel-sign-sub-inv_binary64_726` `associate-r_binary64_700` `associate-r/_binary64_702`
4×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `associate-l_binary64_701`
3×	`add-log-exp_binary64_799` `pow-unpow_binary64_837`
2×	`cube-mult_binary64_790` `prod-exp_binary64_809` `unpow3_binary64_826` `pow-exp_binary64_828` `difference-of-squares_binary64_729` `rem-cube-cbrt_binary64_783` `sqr-pow_binary64_732` `cbrt-unprod_binary64_793` `cube-prod_binary64_788` `sub-neg_binary64_753` `pow-prod-down_binary64_831` `unpow-prod-down_binary64_839` `pow-pow_binary64_832`
1×	`pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `unswap-sqr_binary64_728` `distribute-lft-out_binary64_711` `pow-to-exp_binary64_829` `distribute-lft-out--_binary64_712` `*-commutative_binary64_691`

Counts

3 → 93

Calls

3 calls:

10.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))
10.0ms	(pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 3)
4.0ms	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 3))

series164.0ms (9%)

Counts

3 → 9

Calls

3 calls:

103.0ms	(pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 3)
36.0ms	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 3))
25.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))

simplify85.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4976	1780
1	4976	1780

prune85.0ms (4.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	102	3	105

Error

Counts

105 → 3

Compiler

Compiled 1686 to 908 computations (46.1% saved)

regimes71.0ms (3.8%)

Accuracy

Total 0.0b remaining (62%)

Threshold costs 0.0b (62%)

Compiler

Compiled 266 to 266 computations (0% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample527.0ms (28.7%)

Algorithm

1×

intervals

Results

206.0ms	7996×	body	128	valid
13.0ms	564×	body	128	invalid
0.0ms	4×	body	1024	valid

Compiler

Compiled 54 to 54 computations (0% saved)

Details

analyze469.0ms (25.6%)

sample16.0ms (0.9%)

simplify38.0ms (2.1%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite13.0ms (0.7%)

series27.0ms (1.5%)

simplify58.0ms (3.2%)

prune32.0ms (1.7%)

localize6.0ms (0.3%)

rewrite19.0ms (1%)

series67.0ms (3.6%)

simplify69.0ms (3.7%)

prune36.0ms (2%)

localize8.0ms (0.4%)

rewrite32.0ms (1.7%)

series164.0ms (9%)

simplify85.0ms (4.6%)

prune85.0ms (4.7%)

regimes71.0ms (3.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample527.0ms (28.7%)

Profiling