Details

analyze386.0ms (15.2%)

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)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	19×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify18.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune2.0ms (0.1%)

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 12 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

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

series75.0ms (3%)

Counts

2 → 6

Calls

2 calls:

41.0ms	(*.f64 y (-.f64 z x))
33.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

simplify60.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5015	584

prune34.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Error

Counts

56 → 4

Compiler

Compiled 694 to 177 computations (74.5% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_117`
4×	`*-un-lft-identity_binary64_78` `sum-log_binary64_169`
2×	`add-cbrt-cube_binary64_114` `+-commutative_binary64_8` `add-sqr-sqrt_binary64_100` `flip-+_binary64_52` `add-cube-cbrt_binary64_113` `add-exp-log_binary64_116` `unsub-neg_binary64_72` `distribute-rgt-neg-out_binary64_38` `distribute-lft-out_binary64_29` `pow1_binary64_139` `flip3-+_binary64_81`
1×	`associate-+r-_binary64_12` `associate-+r+_binary64_10`

Counts

2 → 28

Calls

2 calls:

9.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))
4.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))

series62.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
30.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))

simplify64.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5041	420

prune21.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	34	4	38

Error

Counts

38 → 4

Compiler

Compiled 449 to 116 computations (74.2% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (-.f64 z x))) (cbrt.f64 (*.f64 y (-.f64 z x))))
3.2b	(cbrt.f64 (*.f64 y (-.f64 z x)))
3.2b	(cbrt.f64 (*.f64 y (-.f64 z x)))
3.2b	(cbrt.f64 (*.f64 y (-.f64 z x)))

rewrite27.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_20`
18×	`cbrt-div_binary64_110`
11×	`pow1_binary64_139`
10×	`add-sqr-sqrt_binary64_100`
9×	`flip3--_binary64_82` `pow1/3_binary64_160` `flip--_binary64_53`
8×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
7×	`cbrt-prod_binary64_109`
6×	`add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19` `add-log-exp_binary64_117` `swap-sqr_binary64_45` `frac-times_binary64_88` `associate-r_binary64_18`
2×	`pow-sqr_binary64_51` `pow-prod-up_binary64_148` `associate-*l/_binary64_21` `pow-prod-down_binary64_149`
1×	`pow2_binary64_159` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `unswap-sqr_binary64_46` `pow-plus_binary64_141`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 y (-.f64 z x))) (cbrt.f64 (*.f64 y (-.f64 z x))))
5.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))
4.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))
4.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))

series626.0ms (24.7%)

Counts

4 → 12

Calls

4 calls:

190.0ms	(.f64 (cbrt.f64 (.f64 y (-.f64 z x))) (cbrt.f64 (*.f64 y (-.f64 z x))))
154.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))
144.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))
137.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))

simplify115.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5145	1213

prune68.0ms (2.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Error

Counts

88 → 4

Compiler

Compiled 2144 to 456 computations (78.7% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3)))
0.0b	(*.f64 y (-.f64 z x))
0.3b	(pow.f64 (*.f64 y (-.f64 z x)) 3)
32.3b	(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))

rewrite29.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
10×	`add-cube-cbrt_binary64_113`
9×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
8×	`cbrt-prod_binary64_109`
6×	`add-log-exp_binary64_117` `associate-*r/_binary64_20` `cancel-sign-sub-inv_binary64_44`
5×	`associate-r_binary64_18`
4×	`distribute-lft-in_binary64_27` `cube-div_binary64_107` `distribute-rgt-in_binary64_28`
3×	`associate-l_binary64_19` `flip3--_binary64_82` `flip--_binary64_53` `pow-unpow_binary64_155`
2×	`rem-cube-cbrt_binary64_101` `cube-mult_binary64_108` `cbrt-div_binary64_110` `pow-exp_binary64_146` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `unpow-prod-down_binary64_157` `sqr-pow_binary64_50` `pow-pow_binary64_150` `pow-prod-down_binary64_149` `unpow3_binary64_144` `cube-prod_binary64_106` `sub-neg_binary64_71`
1×	`+-commutative_binary64_8` `*-commutative_binary64_9` `rem-cbrt-cube_binary64_102` `pow-to-exp_binary64_147` `flip-+_binary64_52` `distribute-lft-out--_binary64_30` `pow1/3_binary64_160` `unswap-sqr_binary64_46` `difference-of-squares_binary64_47` `distribute-lft-out_binary64_29` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

4 → 85

Calls

4 calls:

9.0ms	(*.f64 y (-.f64 z x))
6.0ms	(pow.f64 (*.f64 y (-.f64 z x)) 3)
5.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3)))
3.0ms	(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))

series167.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(pow.f64 (*.f64 y (-.f64 z x)) 3)
40.0ms	(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))
40.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3)))
29.0ms	(*.f64 y (-.f64 z x))

simplify60.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5060	1160

prune65.0ms (2.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	97	4	101

Error

Counts

101 → 4

Compiler

Compiled 1358 to 517 computations (61.9% saved)

regimes67.0ms (2.6%)

Accuracy

Total 0.0b remaining (59.8%)

Threshold costs 0.0b (59.8%)

Compiler

Compiled 372 to 282 computations (24.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample512.0ms (20.2%)

Algorithm

1×

intervals

Results

192.0ms	8000×	body	128	valid
13.0ms	589×	body	128	invalid

Compiler

Compiled 103 to 79 computations (23.3% saved)

Details

analyze386.0ms (15.2%)

sample14.0ms (0.5%)

simplify18.0ms (0.7%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite17.0ms (0.7%)

series75.0ms (3%)

simplify60.0ms (2.4%)

prune34.0ms (1.4%)

localize7.0ms (0.3%)

rewrite14.0ms (0.6%)

series62.0ms (2.4%)

simplify64.0ms (2.5%)

prune21.0ms (0.8%)

localize12.0ms (0.5%)

rewrite27.0ms (1.1%)

series626.0ms (24.7%)

simplify115.0ms (4.5%)

prune68.0ms (2.7%)

localize8.0ms (0.3%)

rewrite29.0ms (1.1%)

series167.0ms (6.6%)

simplify60.0ms (2.4%)

prune65.0ms (2.6%)

regimes67.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample512.0ms (20.2%)

Profiling