Details

analyze2.1s (29.4%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5141	49
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
5.8%	94%	0.2%	9
5.8%	94%	0.2%	9
7.6%	92.2%	0.2%	10
7.6%	92.2%	0.2%	10
11.6%	88.2%	0.2%	11
11.6%	88.2%	0.2%	11
18.5%	81.3%	0.2%	12
18.5%	81.3%	0.2%	12
32.3%	66.9%	0.8%	13
32.3%	66.9%	0.8%	13
37%	62.2%	0.8%	14
37%	62.2%	0.8%	14

Symmetry

(sort x y)

Compiler

Compiled 20 to 18 computations (10% saved)

sample555.0ms (7.8%)

Algorithm

2×

intervals

Results

18.0ms	512×	body	128	valid
5.0ms	100×	body	128	invalid

Compiler

Compiled 3039 to 3947 computations (-29.9% saved)

simplify172.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (166.0ms)

Iter	Nodes	Cost
0	4367	7
1	4367	7

prune4.0ms (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

5.7b

Counts

2 → 2

Compiler

Compiled 19 to 20 computations (-5.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.5b	(*.f64 x (/.f64 y z))

rewrite46.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_15104`
13×	`associate-r_binary64_15022`
10×	`times-frac_binary64_15088`
9×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
6×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
3×	`pow1_binary64_15143` `associate-l_binary64_15023`
2×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `unswap-sqr_binary64_15050`
1×	`pow-prod-down_binary64_15153` `div-exp_binary64_15133` `add-log-exp_binary64_15121` `cbrt-undiv_binary64_15116` `associate-r/_binary64_15024` `div-inv_binary64_15079` `-commutative_binary64_15013`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 x (/.f64 y z))

Compiler

Compiled 373 to 121 computations (67.6% saved)

series129.0ms (1.8%)

Error

0.1b

Counts

1 → 9

Calls

1 calls:

124.0ms

(*.f64 x (/.f64 y z))

Compiler

Compiled 135 to 114 computations (15.6% saved)

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4985	390
1	4985	390

prune38.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	33	8	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	10	43

Error

0.0b

Counts

43 → 10

Compiler

Compiled 474 to 167 computations (64.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.2b	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite90.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-exp-log_binary64_15120`
14×	`add-cbrt-cube_binary64_15118`
12×	`add-sqr-sqrt_binary64_15104`
9×	`prod-exp_binary64_15131` `add-cube-cbrt_binary64_15117` `cbrt-unprod_binary64_15115` `*-un-lft-identity_binary64_15082` `cbrt-prod_binary64_15113`
6×	`pow1_binary64_15143`
5×	`associate-r_binary64_15022`
4×	`div-exp_binary64_15133` `add-log-exp_binary64_15121` `cbrt-undiv_binary64_15116`
3×	`associate-l_binary64_15023` `pow1/3_binary64_15164`
2×	`unswap-sqr_binary64_15050` `times-frac_binary64_15088`
1×	`pow-prod-down_binary64_15153` `associate-r/_binary64_15024` `div-inv_binary64_15079` `-commutative_binary64_15013`

Counts

4 → 63

Calls

4 calls:

12.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1613 to 288 computations (82.1% saved)

series1.1s (14.7%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

699.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
116.0ms	(cbrt.f64 y)
108.0ms	(cbrt.f64 y)
104.0ms	(cbrt.f64 y)

Compiler

Compiled 1170 to 851 computations (27.3% saved)

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4966	892
1	4966	892

prune86.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	80	11	91

Error

0.0b

Counts

91 → 11

Compiler

Compiled 1835 to 403 computations (78% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.1b	(/.f64 (*.f64 x y) z)

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
3×	`add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104` `times-frac_binary64_15088` `-un-lft-identity_binary64_15082` `associate-/r_binary64_15026`
2×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116`
1×	`pow1_binary64_15143` `prod-exp_binary64_15131` `add-log-exp_binary64_15121` `cbrt-unprod_binary64_15115` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `div-inv_binary64_15079` `associate-/l*_binary64_15027`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/.f64 (*.f64 x y) z)

Compiler

Compiled 214 to 75 computations (65% saved)

series156.0ms (2.2%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

152.0ms

(/.f64 (*.f64 x y) z)

Compiler

Compiled 135 to 114 computations (15.6% saved)

simplify102.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4671	261
1	4671	261

prune24.0ms (0.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	4	4	8
Picked	0	1	1
Done	0	2	2
Total	32	9	41

Error

0.0b

Counts

41 → 9

Compiler

Compiled 279 to 101 computations (63.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.2b	(.f64 (.f64 x y) (/.f64 1 z))

rewrite42.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-exp-log_binary64_15120`
13×	`add-cbrt-cube_binary64_15118` `associate-r_binary64_15022`
12×	`prod-exp_binary64_15131`
9×	`times-frac_binary64_15088`
8×	`add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
6×	`pow1_binary64_15143` `cbrt-unprod_binary64_15115`
4×	`div-exp_binary64_15133`
3×	`pow-prod-down_binary64_15153`
2×	`1-exp_binary64_15126` `rec-exp_binary64_15132` `cbrt-undiv_binary64_15116`
1×	`add-log-exp_binary64_15121` `un-div-inv_binary64_15080` `associate-r/_binary64_15024` `associate-l_binary64_15023` `div-inv_binary64_15079` `-commutative_binary64_15013`

Counts

1 → 38

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x y) (/.f64 1 z))

Compiler

Compiled 517 to 275 computations (46.8% saved)

series157.0ms (2.2%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

153.0ms

(*.f64 (*.f64 x y) (/.f64 1 z))

Compiler

Compiled 135 to 114 computations (15.6% saved)

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4964	423
1	4964	423

prune27.0ms (0.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	47	9	56

Error

0.0b

Counts

56 → 9

Compiler

Compiled 407 to 133 computations (67.3% saved)

regimes647.0ms (9.1%)

Accuracy

Total 2.0b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 3460 to 2588 computations (25.2% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	31
1	14	31

Compiler

Compiled 38 to 24 computations (36.8% saved)

end0.0ms (0%)

sample1.4s (20.2%)

Algorithm

1×

intervals

Results

296.0ms	8000×	body	128	valid
57.0ms	1629×	body	128	invalid

Compiler

Compiled 557 to 390 computations (30% saved)

Details

analyze2.1s (29.4%)

sample555.0ms (7.8%)

simplify172.0ms (2.4%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

rewrite46.0ms (0.6%)

series129.0ms (1.8%)

simplify90.0ms (1.3%)

prune38.0ms (0.5%)

localize12.0ms (0.2%)

rewrite90.0ms (1.3%)

series1.1s (14.7%)

simplify51.0ms (0.7%)

prune86.0ms (1.2%)

localize4.0ms (0.1%)

rewrite20.0ms (0.3%)

series156.0ms (2.2%)

simplify102.0ms (1.4%)

prune24.0ms (0.3%)

localize5.0ms (0.1%)

rewrite42.0ms (0.6%)

series157.0ms (2.2%)

simplify82.0ms (1.2%)

prune27.0ms (0.4%)

regimes647.0ms (9.1%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample1.4s (20.2%)

Profiling