Details

analyze159.0ms (3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	10
1	405	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	232×	body	128	valid
1.0ms	13×	body	1024	valid
0.0ms	6×	body	512	valid
0.0ms	5×	body	256	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify39.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	405	10
1	405	10

prune11.0ms (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

0.2b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 6 (*.f64 x -9))
0.1b	(.f64 x (+.f64 6 (.f64 x -9)))

rewrite50.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_16809`
4×	`pow1_binary64_16848` `add-exp-log_binary64_16825` `add-log-exp_binary64_16826` `add-cbrt-cube_binary64_16823` `add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
3×	`associate-l_binary64_16728` `associate-r_binary64_16727`
2×	`flip3-+_binary64_16790` `associate-*r/_binary64_16729` `flip-+_binary64_16761`
1×	`pow-prod-down_binary64_16858` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `unswap-sqr_binary64_16755` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736` `*-commutative_binary64_16718` `sum-log_binary64_16878` `+-commutative_binary64_16717`

Counts

2 → 33

Calls

2 calls:

6.0ms	(.f64 x (+.f64 6 (.f64 x -9)))
3.0ms	(+.f64 6 (*.f64 x -9))

Compiler

Compiled 476 to 367 computations (22.9% saved)

series104.0ms (2%)

Error

0.2b

Counts

2 → 12

Calls

2 calls:

62.0ms	(.f64 x (+.f64 6 (.f64 x -9)))
33.0ms	(+.f64 6 (*.f64 x -9))

Compiler

Compiled 196 to 163 computations (16.8% saved)

simplify89.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5235	482

prune61.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	39	8	47

Error

0.0b

Counts

47 → 8

Compiler

Compiled 604 to 459 computations (24% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 36 (.f64 x (.f64 x 81)))
0.1b	(.f64 x (/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (+.f64 6 (.f64 x 9))))
0.2b	(.f64 x (.f64 x 81))
0.2b	(/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (+.f64 6 (*.f64 x 9)))

rewrite183.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-sqr-sqrt_binary64_16809`
21×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
19×	`times-frac_binary64_16793`
16×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823` `associate-r_binary64_16727`
11×	`pow1_binary64_16848`
6×	`add-log-exp_binary64_16826` `associate-l_binary64_16728`
5×	`prod-exp_binary64_16836` `cbrt-unprod_binary64_16820`
4×	`associate-/r/_binary64_16733` `pow-prod-down_binary64_16858`
3×	`associate-/l_binary64_16732` `associate-/r_binary64_16731`
2×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `div-inv_binary64_16784` `flip3--_binary64_16791` `associate-/l/_binary64_16734` `flip--_binary64_16762` `flip3-+_binary64_16790` `flip-+_binary64_16761` `*-commutative_binary64_16718` `unswap-sqr_binary64_16755`
1×	`frac-2neg_binary64_16798` `div-sub_binary64_16792` `clear-num_binary64_16786` `associate-*r/_binary64_16729` `diff-log_binary64_16879` `sub-neg_binary64_16780` `cancel-sign-sub-inv_binary64_16753`

Counts

4 → 96

Calls

4 calls:

17.0ms	(.f64 x (/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (+.f64 6 (.f64 x 9))))
7.0ms	(/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (+.f64 6 (*.f64 x 9)))
5.0ms	(.f64 x (.f64 x 81))
3.0ms	(-.f64 36 (.f64 x (.f64 x 81)))

Compiler

Compiled 2544 to 1933 computations (24% saved)

series285.0ms (5.4%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

98.0ms	(.f64 x (/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (+.f64 6 (.f64 x 9))))
70.0ms	(/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (+.f64 6 (*.f64 x 9)))
63.0ms	(-.f64 36 (.f64 x (.f64 x 81)))
27.0ms	(.f64 x (.f64 x 81))

Compiler

Compiled 536 to 448 computations (16.4% saved)

simplify92.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4897	2201
1	4897	2201

prune166.0ms (3.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	117	8	125

Error

Counts

125 → 8

Compiler

Compiled 2559 to 1850 computations (27.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9)))) (cbrt.f64 (.f64 x (-.f64 6 (*.f64 x 9)))))
0.6b	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
0.6b	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
0.6b	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))

rewrite232.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`associate-*r/_binary64_16729`
18×	`cbrt-div_binary64_16819`
11×	`pow1_binary64_16848`
10×	`add-sqr-sqrt_binary64_16809`
9×	`pow1/3_binary64_16869` `flip3--_binary64_16791` `flip--_binary64_16762`
8×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
7×	`cbrt-prod_binary64_16818`
6×	`add-exp-log_binary64_16825`
4×	`add-log-exp_binary64_16826` `add-cbrt-cube_binary64_16823` `frac-times_binary64_16797` `swap-sqr_binary64_16754` `associate-l_binary64_16728` `associate-r_binary64_16727`
2×	`pow-prod-down_binary64_16858` `pow-prod-up_binary64_16857` `pow-sqr_binary64_16760` `associate-*l/_binary64_16730`
1×	`pow2_binary64_16868` `pow-plus_binary64_16850` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `unswap-sqr_binary64_16755` `*-commutative_binary64_16718`

Counts

4 → 72

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9)))) (cbrt.f64 (.f64 x (-.f64 6 (*.f64 x 9)))))
10.0ms	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
8.0ms	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
7.0ms	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))

Compiler

Compiled 2615 to 2067 computations (21% saved)

series610.0ms (11.5%)

Error

Counts

4 → 39

Calls

4 calls:

180.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9)))) (cbrt.f64 (.f64 x (-.f64 6 (*.f64 x 9)))))
129.0ms	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
99.0ms	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
99.0ms	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))

Compiler

Compiled 4197 to 3598 computations (14.3% saved)

simplify88.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5008	2674

prune280.0ms (5.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	111	8	119

Error

Counts

119 → 8

Compiler

Compiled 3754 to 2972 computations (20.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 36 (.f64 x (.f64 x 81)))
0.1b	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
0.2b	(.f64 x (.f64 x 81))
6.6b	(/.f64 (.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) (-.f64 6 (.f64 x -9)))

rewrite125.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
11×	`pow1_binary64_16848` `add-sqr-sqrt_binary64_16809`
9×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
6×	`add-log-exp_binary64_16826` `associate-l_binary64_16728`
5×	`prod-exp_binary64_16836` `cbrt-unprod_binary64_16820`
4×	`flip3--_binary64_16791` `associate-r/_binary64_16729` `flip--_binary64_16762` `pow-prod-down_binary64_16858` `associate-r*_binary64_16727`
3×	`times-frac_binary64_16793` `associate-/r*_binary64_16731` `sub-neg_binary64_16780` `cancel-sign-sub-inv_binary64_16753`
2×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `associate-/l/_binary64_16734` `associate-/r/_binary64_16733` `*-commutative_binary64_16718` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
1×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `div-inv_binary64_16784` `associate-/l*_binary64_16732` `unswap-sqr_binary64_16755` `diff-log_binary64_16879`

Counts

4 → 79

Calls

4 calls:

8.0ms	(/.f64 (.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) (-.f64 6 (.f64 x -9)))
6.0ms	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
5.0ms	(.f64 x (.f64 x 81))
3.0ms	(-.f64 36 (.f64 x (.f64 x 81)))

Compiler

Compiled 1887 to 1401 computations (25.8% saved)

series297.0ms (5.6%)

Error

Counts

4 → 21

Calls

4 calls:

113.0ms	(/.f64 (.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) (-.f64 6 (.f64 x -9)))
71.0ms	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
54.0ms	(-.f64 36 (.f64 x (.f64 x 81)))
27.0ms	(.f64 x (.f64 x 81))

Compiler

Compiled 644 to 545 computations (15.4% saved)

simplify103.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4885	1410
1	4885	1410

prune129.0ms (2.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	101	7	108

Error

Counts

108 → 7

Compiler

Compiled 1819 to 1340 computations (26.3% saved)

regimes499.0ms (9.4%)

Accuracy

Total 0.2b remaining (99.3%)

Threshold costs 0.2b (99.3%)

Compiler

Compiled 1852 to 1526 computations (17.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample1.6s (30.8%)

Algorithm

1×

intervals

Results

202.0ms	7195×	body	128	valid
44.0ms	474×	body	1024	valid
15.0ms	201×	body	512	valid
7.0ms	130×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 942 to 777 computations (17.5% saved)

Details

analyze159.0ms (3%)

sample14.0ms (0.3%)

simplify39.0ms (0.7%)

prune11.0ms (0.2%)

localize5.0ms (0.1%)

rewrite50.0ms (1%)

series104.0ms (2%)

simplify89.0ms (1.7%)

prune61.0ms (1.2%)

localize9.0ms (0.2%)

rewrite183.0ms (3.5%)

series285.0ms (5.4%)

simplify92.0ms (1.7%)

prune166.0ms (3.1%)

localize16.0ms (0.3%)

rewrite232.0ms (4.4%)

series610.0ms (11.5%)

simplify88.0ms (1.7%)

prune280.0ms (5.3%)

localize10.0ms (0.2%)

rewrite125.0ms (2.4%)

series297.0ms (5.6%)

simplify103.0ms (1.9%)

prune129.0ms (2.4%)

regimes499.0ms (9.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.6s (30.8%)

Profiling