Details

analyze449.0ms (6.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	64
1	263	64
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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Symmetry

(sort x y)

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	111	16
1	111	16

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

5.8b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

2.9b	(.f64 y (+.f64 1 (.f64 z z)))
4.4b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))

rewrite121.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

31×	`times-frac_binary64_11337`
26×	`add-exp-log_binary64_11369`
20×	`add-sqr-sqrt_binary64_11353`
18×	`add-cube-cbrt_binary64_11366` `*-un-lft-identity_binary64_11331`
16×	`add-cbrt-cube_binary64_11367`
13×	`associate-/l*_binary64_11276`
12×	`div-exp_binary64_11382`
6×	`cbrt-undiv_binary64_11365`
5×	`prod-exp_binary64_11380`
4×	`pow1_binary64_11392` `associate-*r/_binary64_11273`
3×	`cbrt-unprod_binary64_11364` `div-inv_binary64_11328` `associate-l_binary64_11272` `associate-r_binary64_11271`
2×	`1-exp_binary64_11375` `rec-exp_binary64_11381` `add-log-exp_binary64_11370` `flip3-+_binary64_11334` `associate-/r/_binary64_11277` `flip-+_binary64_11305`
1×	`frac-2neg_binary64_11342` `clear-num_binary64_11330` `associate-/l/_binary64_11278` `associate-/r_binary64_11275` `pow-prod-down_binary64_11402` `unswap-sqr_binary64_11299` `distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280` `-commutative_binary64_11262`

Counts

2 → 74

Calls

2 calls:

10.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
9.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 1418 to 830 computations (41.5% saved)

series309.0ms (4.4%)

Error

4.3b

Counts

2 → 19

Calls

2 calls:

201.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
88.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 573 to 488 computations (14.8% saved)

simplify101.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5200	1474

prune114.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	9	94

Error

4.2b

Counts

94 → 9

Compiler

Compiled 1495 to 642 computations (57.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.5b	(/.f64 1 (+.f64 x (.f64 x (.f64 z z))))
3.6b	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 x (*.f64 z z)))))
6.6b	(.f64 x (.f64 z z))

rewrite210.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

Rules

52×	`add-exp-log_binary64_11369`
51×	`add-sqr-sqrt_binary64_11353`
39×	`times-frac_binary64_11337`
32×	`*-un-lft-identity_binary64_11331`
26×	`add-cube-cbrt_binary64_11366`
22×	`add-cbrt-cube_binary64_11367`
19×	`prod-exp_binary64_11380`
18×	`div-exp_binary64_11382`
16×	`associate-l_binary64_11272` `associate-r_binary64_11271`
13×	`pow1_binary64_11392`
10×	`unswap-sqr_binary64_11299`
9×	`1-exp_binary64_11375` `rec-exp_binary64_11381`
7×	`cbrt-unprod_binary64_11364`
6×	`pow-prod-down_binary64_11402`
5×	`cbrt-undiv_binary64_11365`
4×	`associate-/r/_binary64_11277`
3×	`add-log-exp_binary64_11370` `inv-pow_binary64_11416` `pow-flip_binary64_11405` `div-inv_binary64_11328` `associate-/l_binary64_11276` `associate-/r_binary64_11275`
2×	`*-commutative_binary64_11262` `flip3-+_binary64_11334` `flip-+_binary64_11305`
1×	`frac-times_binary64_11341` `un-div-inv_binary64_11329` `associate-l/_binary64_11274` `associate-r/_binary64_11273` `frac-2neg_binary64_11342` `clear-num_binary64_11330`

Counts

3 → 124

Calls

3 calls:

21.0ms	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 x (*.f64 z z)))))
8.0ms	(/.f64 1 (+.f64 x (.f64 x (.f64 z z))))
6.0ms	(.f64 x (.f64 z z))

Compiler

Compiled 2761 to 1156 computations (58.1% saved)

series407.0ms (5.8%)

Error

4.2b

Counts

3 → 23

Calls

3 calls:

210.0ms	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 x (*.f64 z z)))))
104.0ms	(/.f64 1 (+.f64 x (.f64 x (.f64 z z))))
63.0ms	(.f64 x (.f64 z z))

Compiler

Compiled 821 to 700 computations (14.7% saved)

simplify91.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4953	2497
1	4953	2497

prune164.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	148	8	156

Error

2.1b

Counts

156 → 8

Compiler

Compiled 2659 to 979 computations (63.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 (.f64 x z) z)
0.5b	(/.f64 1 (+.f64 x (.f64 (.f64 x z) z)))
3.6b	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 (*.f64 x z) z))))

rewrite187.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

Rules

52×	`add-exp-log_binary64_11369`
50×	`add-sqr-sqrt_binary64_11353`
39×	`times-frac_binary64_11337`
32×	`*-un-lft-identity_binary64_11331`
26×	`add-cube-cbrt_binary64_11366`
22×	`add-cbrt-cube_binary64_11367`
19×	`prod-exp_binary64_11380`
18×	`div-exp_binary64_11382` `associate-r_binary64_11271`
14×	`associate-l_binary64_11272`
13×	`pow1_binary64_11392`
9×	`1-exp_binary64_11375` `rec-exp_binary64_11381` `unswap-sqr_binary64_11299`
7×	`cbrt-unprod_binary64_11364`
6×	`pow-prod-down_binary64_11402`
5×	`cbrt-undiv_binary64_11365`
4×	`associate-/r/_binary64_11277`
3×	`inv-pow_binary64_11416` `pow-flip_binary64_11405` `add-log-exp_binary64_11370` `div-inv_binary64_11328` `associate-/l_binary64_11276` `associate-/r_binary64_11275`
2×	`flip3-+_binary64_11334` `flip-+_binary64_11305` `*-commutative_binary64_11262`
1×	`frac-times_binary64_11341` `un-div-inv_binary64_11329` `associate-l/_binary64_11274` `associate-r/_binary64_11273` `frac-2neg_binary64_11342` `clear-num_binary64_11330`

Counts

3 → 123

Calls

3 calls:

16.0ms	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 (*.f64 x z) z))))
9.0ms	(.f64 (.f64 x z) z)
5.0ms	(/.f64 1 (+.f64 x (.f64 (.f64 x z) z)))

Compiler

Compiled 2744 to 1149 computations (58.1% saved)

series386.0ms (5.5%)

Error

2.1b

Counts

3 → 23

Calls

3 calls:

203.0ms	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 (*.f64 x z) z))))
109.0ms	(/.f64 1 (+.f64 x (.f64 (.f64 x z) z)))
60.0ms	(.f64 (.f64 x z) z)

Compiler

Compiled 821 to 700 computations (14.7% saved)

simplify107.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5103	2485

prune116.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	146	8	154

Error

2.1b

Counts

154 → 8

Compiler

Compiled 2626 to 961 computations (63.4% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 x z) z)
3.8b	(/.f64 (/.f64 1 y) (+.f64 x (.f64 (.f64 x z) z)))

rewrite140.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

Rules

75×	`times-frac_binary64_11337`
45×	`add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353` `*-un-lft-identity_binary64_11331`
16×	`add-exp-log_binary64_11369`
13×	`associate-/l*_binary64_11276`
12×	`add-cbrt-cube_binary64_11367`
7×	`pow1_binary64_11392`
6×	`div-exp_binary64_11382`
5×	`div-inv_binary64_11328`
3×	`cbrt-undiv_binary64_11365` `associate-/r_binary64_11275` `pow-prod-down_binary64_11402` `prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `associate-r*_binary64_11271`
2×	`add-log-exp_binary64_11370` `associate-/r/_binary64_11277`
1×	`1-exp_binary64_11375` `rec-exp_binary64_11381` `frac-2neg_binary64_11342` `clear-num_binary64_11330` `associate-/l/_binary64_11278` `flip3-+_binary64_11334` `flip-+_binary64_11305` `associate-l_binary64_11272` `*-commutative_binary64_11262`

Counts

2 → 92

Calls

2 calls:

16.0ms	(/.f64 (/.f64 1 y) (+.f64 x (.f64 (.f64 x z) z)))
9.0ms	(.f64 (.f64 x z) z)

Compiler

Compiled 2122 to 764 computations (64% saved)

series271.0ms (3.8%)

Error

2.1b

Counts

2 → 16

Calls

2 calls:

197.0ms	(/.f64 (/.f64 1 y) (+.f64 x (.f64 (.f64 x z) z)))
59.0ms	(.f64 (.f64 x z) z)

Compiler

Compiled 527 to 434 computations (17.6% saved)

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5137	2528

prune98.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	108	8	116

Error

2.1b

Counts

116 → 8

Compiler

Compiled 2084 to 658 computations (68.4% saved)

regimes1.3s (18.7%)

Accuracy

Total 0.6b remaining (21.2%)

Threshold costs 0.6b (21.2%)

Compiler

Compiled 11026 to 8902 computations (19.3% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	79
1	35	79

Compiler

Compiled 106 to 68 computations (35.8% saved)

end0.0ms (0%)

sample2.3s (32.4%)

Algorithm

1×

intervals

Results

378.0ms	8000×	body	128	valid
20.0ms	445×	body	128	invalid

Compiler

Compiled 1220 to 966 computations (20.8% saved)

Details

analyze449.0ms (6.4%)

sample25.0ms (0.4%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite121.0ms (1.7%)

series309.0ms (4.4%)

simplify101.0ms (1.4%)

prune114.0ms (1.6%)

localize9.0ms (0.1%)

rewrite210.0ms (3%)

series407.0ms (5.8%)

simplify91.0ms (1.3%)

prune164.0ms (2.3%)

localize10.0ms (0.1%)

rewrite187.0ms (2.6%)

series386.0ms (5.5%)

simplify107.0ms (1.5%)

prune116.0ms (1.6%)

localize13.0ms (0.2%)

rewrite140.0ms (2%)

series271.0ms (3.8%)

simplify85.0ms (1.2%)

prune98.0ms (1.4%)

regimes1.3s (18.7%)

bsearch5.0ms (0.1%)

simplify16.0ms (0.2%)

end0.0ms (0%)

sample2.3s (32.4%)

Profiling