Details

analyze719.0ms (7.3%)

Algorithm

1×

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
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample36.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
3.0ms	52×	body	128	invalid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify324.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	5346	16

prune4.0ms (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

Merged error: 18.3b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 z z) (+.f64 z 1))
17.9b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
12×	`cbrt-unprod_binary64_11364` `prod-exp_binary64_11380`
7×	`pow1_binary64_11392`
6×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365`
5×	`*-un-lft-identity_binary64_11331`
4×	`associate-r_binary64_11271` `add-sqr-sqrt_binary64_11353` `associate-*r/_binary64_11273`
3×	`add-cube-cbrt_binary64_11366` `pow-prod-down_binary64_11402`
2×	`associate-/r/_binary64_11277` `add-log-exp_binary64_11370` `flip3-+_binary64_11334` `flip-+_binary64_11305`
1×	`-commutative_binary64_11262` `distribute-lft-in_binary64_11280` `associate-/l_binary64_11276` `div-inv_binary64_11328` `unswap-sqr_binary64_11299` `frac-2neg_binary64_11342` `associate-/r_binary64_11275` `distribute-lft-out_binary64_11282` `distribute-rgt-in_binary64_11281` `associate-l*_binary64_11272` `times-frac_binary64_11337` `clear-num_binary64_11330`

Counts

2 → 51

Calls

2 calls:

20.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
15.0ms	(.f64 (.f64 z z) (+.f64 z 1))

series169.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

99.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
70.0ms	(.f64 (.f64 z z) (+.f64 z 1))

simplify117.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4973	858
1	4973	858

prune121.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	48	9	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	9	58

Merged error: 3.2b

Counts

58 → 9

Compiler

Compiled 996 to 511 computations (48.7% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 z 1))
3.8b	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1)))
9.2b	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1))))

rewrite99.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

243×	`times-frac_binary64_11337`
132×	`*-un-lft-identity_binary64_11331`
88×	`add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353`
45×	`associate-/r*_binary64_11275`
35×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
22×	`distribute-lft-out_binary64_11282`
20×	`associate-/r/_binary64_11277`
18×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365`
13×	`div-inv_binary64_11328`
7×	`associate-/l*_binary64_11276` `flip3-+_binary64_11334` `flip-+_binary64_11305`
4×	`cbrt-unprod_binary64_11364` `prod-exp_binary64_11380`
3×	`pow1_binary64_11392` `add-log-exp_binary64_11370` `frac-2neg_binary64_11342` `clear-num_binary64_11330`

Counts

3 → 205

Calls

3 calls:

25.0ms	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1))))
18.0ms	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1)))
15.0ms	(/.f64 y (+.f64 z 1))

series184.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

92.0ms	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1))))
47.0ms	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1)))
45.0ms	(/.f64 y (+.f64 z 1))

simplify239.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	4930	4575
1	4930	4575

prune366.0ms (3.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	205	9	214
Fresh	7	1	8
Picked	1	0	1
Done	0	0	0
Total	213	10	223

Merged error: 0b

Counts

223 → 10

Compiler

Compiled 4133 to 2102 computations (49.1% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.6b	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 z (.f64 (cbrt.f64 (/.f64 y (+.f64 z 1))) (cbrt.f64 (/.f64 y (+.f64 z 1))))))
8.3b	(cbrt.f64 (/.f64 y (+.f64 z 1)))
8.3b	(cbrt.f64 (/.f64 y (+.f64 z 1)))
8.3b	(cbrt.f64 (/.f64 y (+.f64 z 1)))

rewrite100.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`cbrt-prod_binary64_11362`
52×	`times-frac_binary64_11337`
50×	`*-un-lft-identity_binary64_11331`
32×	`add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353`
25×	`add-exp-log_binary64_11369`
15×	`add-cbrt-cube_binary64_11367`
13×	`associate-/r/_binary64_11277`
11×	`cbrt-div_binary64_11363`
10×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365` `associate-/r*_binary64_11275`
9×	`distribute-lft-out_binary64_11282`
6×	`div-inv_binary64_11328`
5×	`cbrt-unprod_binary64_11364` `prod-exp_binary64_11380`
4×	`pow1_binary64_11392` `add-log-exp_binary64_11370`
3×	`pow1/3_binary64_11413` `flip3-+_binary64_11334` `flip-+_binary64_11305`
2×	`associate-l/_binary64_11274` `frac-times_binary64_11341` `associate-r/_binary64_11273`
1×	`associate-/l*_binary64_11276` `frac-2neg_binary64_11342` `clear-num_binary64_11330`

Counts

4 → 125

Calls

4 calls:

42.0ms	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 z (.f64 (cbrt.f64 (/.f64 y (+.f64 z 1))) (cbrt.f64 (/.f64 y (+.f64 z 1))))))
9.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
9.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
9.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))

series966.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

519.0ms	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 z (.f64 (cbrt.f64 (/.f64 y (+.f64 z 1))) (cbrt.f64 (/.f64 y (+.f64 z 1))))))
154.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
153.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
139.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))

simplify138.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4985	3323
1	4985	3323

prune445.0ms (4.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	137	10	147

Merged error: 0b

Counts

147 → 10

Compiler

Compiled 5607 to 3291 computations (41.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.3b	(/.f64 (cbrt.f64 x) (/.f64 z (/.f64 y (+.f64 z 1))))

rewrite218.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

984×	`times-frac_binary64_11337`
554×	`*-un-lft-identity_binary64_11331`
428×	`add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353`
189×	`cbrt-prod_binary64_11362`
63×	`distribute-lft-out_binary64_11282`
59×	`associate-/r*_binary64_11275`
50×	`associate-/r/_binary64_11277`
29×	`div-inv_binary64_11328`
21×	`flip3-+_binary64_11334` `flip-+_binary64_11305`
13×	`add-exp-log_binary64_11369`
10×	`add-cbrt-cube_binary64_11367`
6×	`div-exp_binary64_11382` `associate-/l*_binary64_11276` `cbrt-undiv_binary64_11365`
4×	`pow1_binary64_11392` `add-log-exp_binary64_11370`
3×	`pow1/3_binary64_11413`
1×	`frac-2neg_binary64_11342` `clear-num_binary64_11330`

Counts

4 → 469

Calls

4 calls:

45.0ms	(/.f64 (cbrt.f64 x) (/.f64 z (/.f64 y (+.f64 z 1))))
7.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series634.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

195.0ms	(/.f64 (cbrt.f64 x) (/.f64 z (/.f64 y (+.f64 z 1))))
154.0ms	(cbrt.f64 x)
146.0ms	(cbrt.f64 x)
139.0ms	(cbrt.f64 x)

simplify302.0ms (3%)

Algorithm

1×	egg-herbie

Counts

481 → 481

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5046	15662

prune1.0s (10.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	481	0	481
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	481	10	491

Merged error: 0b

Counts

491 → 10

Compiler

Compiled 15031 to 5579 computations (62.9% saved)

regimes922.0ms (9.3%)

Compiler: Compiled 6159 to 4531 computations (26.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	58
1	22	58

end0.0ms (0%)

sample2.7s (26.8%)

Algorithm

1×

intervals

Results

514.0ms	8000×	body	128	valid
98.0ms	1514×	body	128	invalid

Compiler

Compiled 1053 to 769 computations (27% saved)

Details

analyze719.0ms (7.3%)

sample36.0ms (0.4%)

simplify324.0ms (3.3%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite42.0ms (0.4%)

series169.0ms (1.7%)

simplify117.0ms (1.2%)

prune121.0ms (1.2%)

localize15.0ms (0.1%)

rewrite99.0ms (1%)

series184.0ms (1.9%)

simplify239.0ms (2.4%)

prune366.0ms (3.7%)

localize30.0ms (0.3%)

rewrite100.0ms (1%)

series966.0ms (9.8%)

simplify138.0ms (1.4%)

prune445.0ms (4.5%)

localize22.0ms (0.2%)

rewrite218.0ms (2.2%)

series634.0ms (6.4%)

simplify302.0ms (3%)

prune1.0s (10.3%)

regimes922.0ms (9.3%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.7s (26.8%)

Profiling