Details

analyze501.0ms (12.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	355	40
1	355	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
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Symmetry

(sort d2 d3)

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample26.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	255×	body	128	valid
1.0ms	21×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	135	10
1	135	10

prune7.0ms (0.2%)

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 → 2

Compiler

Compiled 27 to 25 computations (7.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite30.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`*-un-lft-identity_binary64_3488`
5×	`add-sqr-sqrt_binary64_3510` `associate-r_binary64_3428`
3×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `associate-l_binary64_3429` `distribute-lft-out_binary64_3439`
2×	`associate-*r/_binary64_3430`
1×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `add-log-exp_binary64_3527` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `flip3-+_binary64_3491` `flip-+_binary64_3462` `*-commutative_binary64_3419`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 336 to 216 computations (35.7% saved)

series106.0ms (2.7%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

95.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 305 to 220 computations (27.9% saved)

simplify75.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4922	411
1	4922	411

prune34.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Error

Counts

41 → 3

Compiler

Compiled 428 to 269 computations (37.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d3 5) d1)
0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

rewrite68.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-log-exp_binary64_3527`
7×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
5×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523`
4×	`sum-log_binary64_3579` `associate-l_binary64_3429`
3×	`flip3-+_binary64_3491` `flip-+_binary64_3462` `associate-r_binary64_3428`
2×	`+-commutative_binary64_3418` `associate-*l/_binary64_3431`
1×	`associate-+l+_binary64_3421` `pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `distribute-lft-out_binary64_3439` `*-commutative_binary64_3419`

Counts

3 → 45

Calls

3 calls:

6.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
6.0ms	(*.f64 (+.f64 d3 5) d1)
4.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

Compiler

Compiled 1001 to 590 computations (41.1% saved)

series379.0ms (9.6%)

Error

Counts

3 → 39

Calls

3 calls:

149.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
146.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
60.0ms	(*.f64 (+.f64 d3 5) d1)

Compiler

Compiled 1100 to 775 computations (29.5% saved)

simplify68.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4992	901
1	4992	901

prune66.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Error

Counts

87 → 3

Compiler

Compiled 1148 to 691 computations (39.8% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 d1 d2) (/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) 25)) (-.f64 d3 5))) (.f64 d1 32))
0.0b	(+.f64 (.f64 d1 d2) (/.f64 (.f64 d1 (-.f64 (*.f64 d3 d3) 25)) (-.f64 d3 5)))
5.2b	(.f64 d1 (-.f64 (.f64 d3 d3) 25))
7.3b	(/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) 25)) (-.f64 d3 5))

rewrite143.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_3510`
14×	`*-un-lft-identity_binary64_3488`
11×	`add-exp-log_binary64_3526` `add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524`
10×	`add-cube-cbrt_binary64_3523`
6×	`pow1_binary64_3549` `cancel-sign-sub-inv_binary64_3454`
5×	`times-frac_binary64_3494` `associate-/r*_binary64_3432`
4×	`associate-r/_binary64_3430` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `associate-r*_binary64_3428` `sum-log_binary64_3579`
3×	`difference-of-squares_binary64_3457` `flip3--_binary64_3492` `flip--_binary64_3463` `associate-l_binary64_3429`
2×	`prod-exp_binary64_3537` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `cbrt-unprod_binary64_3521` `distribute-lft-out--_binary64_3440` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `sub-neg_binary64_3481` `flip3-+_binary64_3491` `flip-+_binary64_3462` `+-commutative_binary64_3418`
1×	`frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `associate-/l_binary64_3433` `pow-prod-down_binary64_3559` `unswap-sqr_binary64_3456` `-commutative_binary64_3419` `associate-+l+_binary64_3421`

Counts

4 → 82

Calls

4 calls:

11.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) 25)) (-.f64 d3 5))
10.0ms	(+.f64 (+.f64 (.f64 d1 d2) (/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) 25)) (-.f64 d3 5))) (.f64 d1 32))
8.0ms	(+.f64 (.f64 d1 d2) (/.f64 (.f64 d1 (-.f64 (*.f64 d3 d3) 25)) (-.f64 d3 5)))
8.0ms	(.f64 d1 (-.f64 (.f64 d3 d3) 25))

Compiler

Compiled 2431 to 1365 computations (43.9% saved)

series1.1s (26.8%)

Error

Counts

4 → 48

Calls

4 calls:

398.0ms	(+.f64 (+.f64 (.f64 d1 d2) (/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) 25)) (-.f64 d3 5))) (.f64 d1 32))
380.0ms	(+.f64 (.f64 d1 d2) (/.f64 (.f64 d1 (-.f64 (*.f64 d3 d3) 25)) (-.f64 d3 5)))
140.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) 25)) (-.f64 d3 5))
99.0ms	(.f64 d1 (-.f64 (.f64 d3 d3) 25))

Compiler

Compiled 2122 to 1596 computations (24.8% saved)

simplify53.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5089	2239

prune125.0ms (3.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	3	133

Error

Counts

133 → 3

Compiler

Compiled 2738 to 1543 computations (43.6% saved)

regimes197.0ms (5%)

Accuracy

Total 0.0b remaining (93.6%)

Threshold costs 0.0b (93.6%)

Compiler

Compiled 1637 to 1465 computations (10.5% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

Remove

(sort d2 d3)

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample953.0ms (24.2%)

Algorithm

1×

intervals

Results

282.0ms	7968×	body	128	valid
23.0ms	711×	body	128	invalid
1.0ms	10×	body	1024	valid
1.0ms	14×	body	256	valid
1.0ms	8×	body	512	valid

Compiler

Compiled 334 to 298 computations (10.8% saved)

Details

analyze501.0ms (12.7%)

sample26.0ms (0.7%)

simplify9.0ms (0.2%)

prune7.0ms (0.2%)

localize6.0ms (0.2%)

rewrite30.0ms (0.8%)

series106.0ms (2.7%)

simplify75.0ms (1.9%)

prune34.0ms (0.9%)

localize9.0ms (0.2%)

rewrite68.0ms (1.7%)

series379.0ms (9.6%)

simplify68.0ms (1.7%)

prune66.0ms (1.7%)

localize15.0ms (0.4%)

rewrite143.0ms (3.6%)

series1.1s (26.8%)

simplify53.0ms (1.4%)

prune125.0ms (3.2%)

regimes197.0ms (5%)

bsearch0.0ms (0%)

simplify10.0ms (0.3%)

end0.0ms (0%)

sample953.0ms (24.2%)

Profiling