Details

analyze393.0ms (8.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	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
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify19.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune2.0ms (0%)

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 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite48.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_100` `cancel-sign-sub-inv_binary64_44`
10×	`*-un-lft-identity_binary64_78`
8×	`add-cube-cbrt_binary64_113` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `associate-+r+_binary64_10`
5×	`associate-r_binary64_18`
4×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `sub-neg_binary64_71`
3×	`associate-l_binary64_19`
2×	`associate-*r/_binary64_20`
1×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `flip3--_binary64_82` `flip--_binary64_53` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30` `*-commutative_binary64_9` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

2 → 49

Calls

2 calls:

9.0ms	(*.f64 y (-.f64 z x))
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 682 to 192 computations (71.8% saved)

series259.0ms (5.7%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

130.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
110.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 618 to 364 computations (41.1% saved)

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5323	764

prune49.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	3	83

Error

0.0b

Counts

83 → 3

Compiler

Compiled 852 to 189 computations (77.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-log-exp_binary64_117`
7×	`sum-log_binary64_169`
4×	`*-un-lft-identity_binary64_78` `associate-+r-_binary64_12`
2×	`neg-log_binary64_171` `pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `flip3-+_binary64_81` `unsub-neg_binary64_72` `flip-+_binary64_52` `neg-sub0_binary64_73` `+-commutative_binary64_8`
1×	`distribute-lft-neg-in_binary64_35` `distribute-rgt-out_binary64_31` `distribute-lft-out_binary64_29` `associate-+r+_binary64_10`

Counts

2 → 32

Calls

2 calls:

6.0ms	(+.f64 x (+.f64 (.f64 z y) (neg.f64 (.f64 x y))))
5.0ms	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))

Compiler

Compiled 575 to 119 computations (79.3% saved)

series252.0ms (5.6%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

131.0ms	(+.f64 x (+.f64 (.f64 z y) (neg.f64 (.f64 x y))))
107.0ms	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))

Compiler

Compiled 624 to 371 computations (40.5% saved)

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5313	635

prune33.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	65	3	68

Error

0.0b

Counts

68 → 3

Compiler

Compiled 645 to 127 computations (80.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 z x) y)
0.3b	(.f64 (sqrt.f64 (.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)))
2.5b	(sqrt.f64 (*.f64 (-.f64 z x) y))
2.5b	(sqrt.f64 (*.f64 (-.f64 z x) y))

rewrite116.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

61×	`pow1_binary64_139`
32×	`sqrt-pow1_binary64_96`
23×	`pow-prod-down_binary64_149`
20×	`associate-*l/_binary64_21`
16×	`add-sqr-sqrt_binary64_100` `sqrt-div_binary64_95`
12×	`pow1/2_binary64_158` `*-un-lft-identity_binary64_78`
10×	`add-cube-cbrt_binary64_113` `pow-prod-up_binary64_148`
9×	`flip3--_binary64_82` `flip--_binary64_53` `associate-l_binary64_19`
8×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
7×	`associate-r_binary64_18`
6×	`sqrt-prod_binary64_94` `pow-sqr_binary64_51`
4×	`add-log-exp_binary64_117` `frac-times_binary64_88` `swap-sqr_binary64_45`
2×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `associate-r/_binary64_20` `-commutative_binary64_9`
1×	`pow2_binary64_159` `pow-plus_binary64_141` `sqrt-unprod_binary64_98` `rem-square-sqrt_binary64_90` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30`

Counts

4 → 105

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)))
7.0ms	(*.f64 (-.f64 z x) y)
5.0ms	(sqrt.f64 (*.f64 (-.f64 z x) y))
5.0ms	(sqrt.f64 (*.f64 (-.f64 z x) y))

Compiler

Compiled 2248 to 543 computations (75.8% saved)

series408.0ms (9%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

99.0ms	(sqrt.f64 (*.f64 (-.f64 z x) y))
95.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)))
92.0ms	(*.f64 (-.f64 z x) y)
91.0ms	(sqrt.f64 (*.f64 (-.f64 z x) y))

Compiler

Compiled 2620 to 1525 computations (41.8% saved)

simplify87.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4956	1651
1	4956	1651

prune100.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	158	3	161

Error

0.0b

Counts

161 → 3

Compiler

Compiled 2538 to 559 computations (78% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.8b	(+.f64 (.f64 x x) (.f64 z x))
4.3b	(-.f64 (pow.f64 z 3) (pow.f64 x 3))
7.3b	(*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3)))
40.6b	(/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 z x))))

rewrite275.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

67×	`add-sqr-sqrt_binary64_100`
37×	`*-un-lft-identity_binary64_78`
36×	`cancel-sign-sub-inv_binary64_44`
33×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
32×	`difference-of-squares_binary64_47`
25×	`associate-r_binary64_18`
19×	`sqr-pow_binary64_50`
17×	`add-cube-cbrt_binary64_113`
13×	`distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27`
11×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
10×	`distribute-lft-out--_binary64_30`
8×	`add-log-exp_binary64_117`
6×	`pow1_binary64_139`
4×	`associate-*r/_binary64_20`
3×	`times-frac_binary64_84` `flip3--_binary64_82` `flip--_binary64_53` `associate-/r_binary64_22` `sub-neg_binary64_71` `unpow3_binary64_144` `cube-mult_binary64_108` `associate-l*_binary64_19`
2×	`prod-exp_binary64_127` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `cbrt-unprod_binary64_111` `associate-/l/_binary64_25` `flip3-+_binary64_81` `associate-/r/_binary64_24` `flip-+_binary64_52` `difference-cubes_binary64_80`
1×	`frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l_binary64_23` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `-commutative_binary64_9` `diff-log_binary64_170` `sum-log_binary64_169` `distribute-rgt-out_binary64_31` `+-commutative_binary64_8`

Counts

4 → 150

Calls

4 calls:

24.0ms	(/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 z x))))
21.0ms	(*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3)))
14.0ms	(-.f64 (pow.f64 z 3) (pow.f64 x 3))
4.0ms	(+.f64 (.f64 x x) (.f64 z x))

Compiler

Compiled 5029 to 2136 computations (57.5% saved)

series902.0ms (19.9%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

382.0ms	(/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 z x))))
264.0ms	(*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3)))
142.0ms	(-.f64 (pow.f64 z 3) (pow.f64 x 3))
77.0ms	(+.f64 (.f64 x x) (.f64 z x))

Compiler

Compiled 2634 to 1572 computations (40.3% saved)

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5147	3175

prune208.0ms (4.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	203	4	207

Error

0.0b

Counts

207 → 4

Compiler

Compiled 5369 to 2046 computations (61.9% saved)

regimes186.0ms (4.1%)

Accuracy

Total 0.0b remaining (74.8%)

Threshold costs 0.0b (74.8%)

Compiler

Compiled 1888 to 1154 computations (38.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample901.0ms (19.9%)

Algorithm

1×

intervals

Results

202.0ms	8000×	body	128	valid
14.0ms	600×	body	128	invalid

Compiler

Compiled 484 to 298 computations (38.4% saved)

Details

analyze393.0ms (8.7%)

sample20.0ms (0.4%)

simplify19.0ms (0.4%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite48.0ms (1.1%)

series259.0ms (5.7%)

simplify67.0ms (1.5%)

prune49.0ms (1.1%)

localize7.0ms (0.1%)

rewrite34.0ms (0.7%)

series252.0ms (5.6%)

simplify69.0ms (1.5%)

prune33.0ms (0.7%)

localize7.0ms (0.2%)

rewrite116.0ms (2.6%)

series408.0ms (9%)

simplify87.0ms (1.9%)

prune100.0ms (2.2%)

localize17.0ms (0.4%)

rewrite275.0ms (6.1%)

series902.0ms (19.9%)

simplify71.0ms (1.6%)

prune208.0ms (4.6%)

regimes186.0ms (4.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample901.0ms (19.9%)

Profiling