Details

analyze227.0ms (3.4%)

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
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

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	111	16
1	111	16

prune3.0ms (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

4.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

2.6b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
2.9b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite118.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

31×	`times-frac_binary64_7586`
26×	`add-exp-log_binary64_7618`
20×	`add-sqr-sqrt_binary64_7602`
18×	`add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
16×	`add-cbrt-cube_binary64_7616`
13×	`associate-/l*_binary64_7525`
12×	`div-exp_binary64_7631`
6×	`cbrt-undiv_binary64_7614`
5×	`prod-exp_binary64_7629`
4×	`pow1_binary64_7641` `associate-*r/_binary64_7522`
3×	`cbrt-unprod_binary64_7613` `associate-l_binary64_7521` `associate-r_binary64_7520` `div-inv_binary64_7577`
2×	`add-log-exp_binary64_7619` `flip3-+_binary64_7583` `flip-+_binary64_7554` `1-exp_binary64_7624` `rec-exp_binary64_7630` `associate-/r/_binary64_7526`
1×	`pow-prod-down_binary64_7651` `unswap-sqr_binary64_7548` `distribute-rgt-in_binary64_7530` `distribute-lft-in_binary64_7529` `-commutative_binary64_7511` `frac-2neg_binary64_7591` `clear-num_binary64_7579` `associate-/l/_binary64_7527` `associate-/r_binary64_7524`

Counts

2 → 74

Calls

2 calls:

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

Compiler

Compiled 1418 to 830 computations (41.5% saved)

series331.0ms (4.9%)

Error

4.1b

Counts

2 → 27

Calls

2 calls:

219.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
86.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 962 to 756 computations (21.4% saved)

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4981	1800
1	4981	1800

prune106.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	91	10	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	11	102

Error

4.0b

Counts

102 → 11

Compiler

Compiled 1794 to 1044 computations (41.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.6b	(/.f64 1 (.f64 (.f64 y (+.f64 (*.f64 z z) 1)) x))
2.4b	(.f64 (.f64 y (+.f64 (*.f64 z z) 1)) x)
2.9b	(.f64 y (+.f64 (.f64 z z) 1))

rewrite100.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

31×	`add-exp-log_binary64_7618`
19×	`add-cbrt-cube_binary64_7616`
16×	`pow1_binary64_7641`
13×	`prod-exp_binary64_7629`
10×	`add-sqr-sqrt_binary64_7602`
8×	`add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
7×	`pow-prod-down_binary64_7651` `cbrt-unprod_binary64_7613`
6×	`associate-r/_binary64_7522` `associate-r*_binary64_7520` `div-exp_binary64_7631`
4×	`associate-l_binary64_7521` `associate-*l/_binary64_7523`
3×	`add-log-exp_binary64_7619` `flip3-+_binary64_7583` `flip-+_binary64_7554` `pow-flip_binary64_7654` `1-exp_binary64_7624` `rec-exp_binary64_7630` `cbrt-undiv_binary64_7614` `times-frac_binary64_7586` `associate-/l*_binary64_7525`
2×	`*-commutative_binary64_7511` `associate-/r/_binary64_7526`
1×	`unswap-sqr_binary64_7548` `distribute-rgt-in_binary64_7530` `distribute-lft-in_binary64_7529` `inv-pow_binary64_7665` `frac-2neg_binary64_7591` `clear-num_binary64_7579` `div-inv_binary64_7577` `associate-/r*_binary64_7524`

Counts

3 → 77

Calls

3 calls:

10.0ms	(/.f64 1 (.f64 (.f64 y (+.f64 (*.f64 z z) 1)) x))
9.0ms	(.f64 (.f64 y (+.f64 (*.f64 z z) 1)) x)
7.0ms	(.f64 y (+.f64 (.f64 z z) 1))

Compiler

Compiled 1420 to 811 computations (42.9% saved)

series500.0ms (7.5%)

Error

4.0b

Counts

3 → 39

Calls

3 calls:

229.0ms	(/.f64 1 (.f64 (.f64 y (+.f64 (*.f64 z z) 1)) x))
163.0ms	(.f64 (.f64 y (+.f64 (*.f64 z z) 1)) x)
80.0ms	(.f64 y (+.f64 (.f64 z z) 1))

Compiler

Compiled 1323 to 1055 computations (20.3% saved)

simplify93.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4951	1801
1	4951	1801

prune88.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	118	9	127

Error

4.0b

Counts

127 → 9

Compiler

Compiled 1846 to 827 computations (55.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.6b	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))
2.3b	(/.f64 (/.f64 1 (.f64 y (+.f64 (.f64 z z) 1))) x)
2.9b	(.f64 y (+.f64 (.f64 z z) 1))

rewrite134.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

42×	`times-frac_binary64_7586`
35×	`add-exp-log_binary64_7618`
27×	`add-sqr-sqrt_binary64_7602`
25×	`add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
19×	`add-cbrt-cube_binary64_7616`
15×	`div-exp_binary64_7631`
12×	`associate-r/_binary64_7522` `associate-/l_binary64_7525`
10×	`associate-/r/_binary64_7526`
8×	`pow1_binary64_7641`
7×	`prod-exp_binary64_7629` `cbrt-undiv_binary64_7614`
6×	`flip3-+_binary64_7583` `flip-+_binary64_7554` `div-inv_binary64_7577`
4×	`1-exp_binary64_7624` `rec-exp_binary64_7630` `associate-/r*_binary64_7524`
3×	`add-log-exp_binary64_7619` `cbrt-unprod_binary64_7613` `associate-l_binary64_7521` `associate-r_binary64_7520`
2×	`pow-prod-down_binary64_7651` `frac-2neg_binary64_7591` `clear-num_binary64_7579` `pow-flip_binary64_7654`
1×	`unswap-sqr_binary64_7548` `distribute-rgt-in_binary64_7530` `distribute-lft-in_binary64_7529` `*-commutative_binary64_7511` `associate-/l/_binary64_7527` `inv-pow_binary64_7665`

Counts

3 → 112

Calls

3 calls:

11.0ms	(/.f64 (/.f64 1 (.f64 y (+.f64 (.f64 z z) 1))) x)
7.0ms	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))
7.0ms	(.f64 y (+.f64 (.f64 z z) 1))

Compiler

Compiled 2238 to 1284 computations (42.6% saved)

series450.0ms (6.7%)

Error

4.0b

Counts

3 → 42

Calls

3 calls:

215.0ms	(/.f64 (/.f64 1 (.f64 y (+.f64 (.f64 z z) 1))) x)
116.0ms	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))
83.0ms	(.f64 y (+.f64 (.f64 z z) 1))

Compiler

Compiled 1509 to 1194 computations (20.9% saved)

simplify94.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4934	2937
1	4934	2937

prune130.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	154	9	163

Error

4.0b

Counts

163 → 9

Compiler

Compiled 2683 to 1394 computations (48% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 1 (+.f64 x (.f64 (.f64 z z) x)))
4.8b	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 (*.f64 z z) x))))
6.7b	(.f64 (.f64 z z) x)

rewrite165.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

3.1b

Rules

55×	`add-sqr-sqrt_binary64_7602`
52×	`add-exp-log_binary64_7618`
51×	`times-frac_binary64_7586`
43×	`*-un-lft-identity_binary64_7580`
30×	`add-cube-cbrt_binary64_7615`
24×	`associate-r_binary64_7520`
22×	`add-cbrt-cube_binary64_7616`
19×	`prod-exp_binary64_7629`
18×	`div-exp_binary64_7631`
14×	`associate-l_binary64_7521`
13×	`pow1_binary64_7641`
10×	`unswap-sqr_binary64_7548`
9×	`1-exp_binary64_7624` `rec-exp_binary64_7630`
7×	`cbrt-unprod_binary64_7613` `distribute-rgt1-in_binary64_7536` `distribute-rgt-out_binary64_7533`
6×	`pow-prod-down_binary64_7651`
5×	`cbrt-undiv_binary64_7614` `associate-/r*_binary64_7524`
4×	`associate-/r/_binary64_7526`
3×	`add-log-exp_binary64_7619` `inv-pow_binary64_7665` `pow-flip_binary64_7654` `div-inv_binary64_7577` `associate-/l*_binary64_7525`
2×	`*-commutative_binary64_7511` `flip3-+_binary64_7583` `flip-+_binary64_7554`
1×	`frac-times_binary64_7590` `un-div-inv_binary64_7578` `associate-l/_binary64_7523` `associate-r/_binary64_7522` `frac-2neg_binary64_7591` `clear-num_binary64_7579`

Counts

3 → 138

Calls

3 calls:

17.0ms	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 (*.f64 z z) x))))
6.0ms	(.f64 (.f64 z z) x)
5.0ms	(/.f64 1 (+.f64 x (.f64 (.f64 z z) x)))

Compiler

Compiled 2995 to 1321 computations (55.9% saved)

series420.0ms (6.3%)

Error

4.0b

Counts

3 → 39

Calls

3 calls:

211.0ms	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 (*.f64 z z) x))))
112.0ms	(/.f64 1 (+.f64 x (.f64 (.f64 z z) x)))
63.0ms	(.f64 (.f64 z z) x)

Compiler

Compiled 1565 to 1242 computations (20.6% saved)

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4994	3272
1	4994	3272

prune138.0ms (2.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	174	3	177
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	176	10	186

Error

3.1b

Counts

186 → 10

Compiler

Compiled 3210 to 1284 computations (60% saved)

regimes1.4s (21.6%)

Accuracy

Total 2.2b remaining (51.9%)

Threshold costs 0b (0%)

Compiler

Compiled 14031 to 11280 computations (19.6% saved)

bsearch3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	50
1	27	50

end0.0ms (0%)

sample1.8s (27.3%)

Algorithm

1×

intervals

Results

288.0ms	8000×	body	128	valid
16.0ms	482×	body	128	invalid

Compiler

Compiled 1480 to 1180 computations (20.3% saved)

Details

analyze227.0ms (3.4%)

sample19.0ms (0.3%)

simplify99.0ms (1.5%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite118.0ms (1.8%)

series331.0ms (4.9%)

simplify74.0ms (1.1%)

prune106.0ms (1.6%)

localize7.0ms (0.1%)

rewrite100.0ms (1.5%)

series500.0ms (7.5%)

simplify93.0ms (1.4%)

prune88.0ms (1.3%)

localize7.0ms (0.1%)

rewrite134.0ms (2%)

series450.0ms (6.7%)

simplify94.0ms (1.4%)

prune130.0ms (1.9%)

localize8.0ms (0.1%)

rewrite165.0ms (2.5%)

series420.0ms (6.3%)

simplify91.0ms (1.4%)

prune138.0ms (2.1%)

regimes1.4s (21.6%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (27.3%)

Profiling