Details

analyze413.0ms (7.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1723	40
1	1723	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
18.7%	81.1%	0.1%	6
40.6%	59.3%	0.1%	7
45.2%	54.6%	0.1%	8
65.5%	34.3%	0.1%	9
78%	21.8%	0.1%	10
80%	19.5%	0.5%	11
81.7%	17.7%	0.5%	12
87.9%	11.3%	0.8%	13
88.3%	10.1%	1.6%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	1003	10
1	1003	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))

rewrite54.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-sqr-sqrt_binary64_15445` `*-un-lft-identity_binary64_15423`
25×	`times-frac_binary64_15429`
13×	`add-cube-cbrt_binary64_15458`
12×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
5×	`associate-/l_binary64_15368` `associate-/r_binary64_15367`
3×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
2×	`flip3--_binary64_15427` `associate-/l/_binary64_15370` `flip--_binary64_15398` `associate-/r/_binary64_15369`
1×	`pow1_binary64_15484` `div-exp_binary64_15474` `add-log-exp_binary64_15462` `cbrt-undiv_binary64_15457` `frac-2neg_binary64_15434` `div-sub_binary64_15428` `clear-num_binary64_15422` `div-inv_binary64_15420`

Counts

1 → 52

Calls

1 calls:

9.0ms

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

Compiler

Compiled 844 to 193 computations (77.1% saved)

series217.0ms (4.1%)

Error

0.0b

Counts

1 → 29

Calls

1 calls:

186.0ms

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

Compiler

Compiled 1332 to 867 computations (34.9% saved)

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5341	1740

prune70.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	3	82

Error

Counts

82 → 3

Compiler

Compiled 1352 to 342 computations (74.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
0.0b	(/.f64 x (-.f64 z y))
0.0b	(/.f64 y (-.f64 z y))

rewrite140.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

82×	`*-un-lft-identity_binary64_15423`
72×	`add-sqr-sqrt_binary64_15445`
63×	`times-frac_binary64_15429`
34×	`add-cube-cbrt_binary64_15458`
23×	`distribute-lft-out--_binary64_15375`
21×	`cancel-sign-sub-inv_binary64_15389`
17×	`difference-of-squares_binary64_15392`
10×	`associate-/r/_binary64_15369` `associate-/r*_binary64_15367`
7×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
6×	`flip3--_binary64_15427` `flip--_binary64_15398` `associate-/l*_binary64_15368`
5×	`add-log-exp_binary64_15462` `div-inv_binary64_15420`
3×	`pow1_binary64_15484` `distribute-rgt-out--_binary64_15377`
2×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `frac-2neg_binary64_15434` `clear-num_binary64_15422`
1×	`diff-log_binary64_15515` `frac-sub_binary64_15432` `sub-div_binary64_15430` `sub-neg_binary64_15416`

Counts

3 → 123

Calls

3 calls:

29.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
5.0ms	(/.f64 y (-.f64 z y))
5.0ms	(/.f64 x (-.f64 z y))

Compiler

Compiled 2446 to 509 computations (79.2% saved)

series476.0ms (9%)

Error

Counts

3 → 71

Calls

3 calls:

223.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
114.0ms	(/.f64 x (-.f64 z y))
79.0ms	(/.f64 y (-.f64 z y))

Compiler

Compiled 3030 to 1887 computations (37.7% saved)

simplify84.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5051	3304

prune122.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	194	3	197

Error

Counts

197 → 3

Compiler

Compiled 3373 to 746 computations (77.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 z y))
0.2b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))

rewrite99.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

45×	`add-sqr-sqrt_binary64_15445`
39×	`*-un-lft-identity_binary64_15423`
32×	`times-frac_binary64_15429`
22×	`add-cube-cbrt_binary64_15458`
21×	`associate-r_binary64_15363`
15×	`add-exp-log_binary64_15461`
9×	`add-cbrt-cube_binary64_15459`
8×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
5×	`pow1_binary64_15484` `associate-l_binary64_15364` `associate-/r*_binary64_15367`
4×	`div-exp_binary64_15474` `prod-exp_binary64_15472` `flip3--_binary64_15427` `flip--_binary64_15398` `associate-/r/_binary64_15369`
3×	`unswap-sqr_binary64_15391` `associate-/l*_binary64_15368`
2×	`1-exp_binary64_15467` `rec-exp_binary64_15473` `add-log-exp_binary64_15462` `cbrt-unprod_binary64_15456` `cbrt-undiv_binary64_15457` `frac-times_binary64_15433` `associate-*l/_binary64_15366` `div-inv_binary64_15420`
1×	`pow-prod-down_binary64_15494` `un-div-inv_binary64_15421` `associate-r/_binary64_15365` `-commutative_binary64_15354` `inv-pow_binary64_15508` `pow-flip_binary64_15497` `frac-2neg_binary64_15434` `clear-num_binary64_15422`

Counts

2 → 91

Calls

2 calls:

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

Compiler

Compiled 1549 to 665 computations (57.1% saved)

series301.0ms (5.7%)

Error

Counts

2 → 50

Calls

2 calls:

182.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
74.0ms	(/.f64 1 (-.f64 z y))

Compiler

Compiled 2100 to 1425 computations (32.1% saved)

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4982	2307
1	4982	2307

prune98.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	141	3	144

Error

Counts

144 → 3

Compiler

Compiled 2189 to 763 computations (65.1% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.7b	(/.f64 x (*.f64 z z))
7.1b	(.f64 (/.f64 x (.f64 z z)) (+.f64 y (*.f64 (/.f64 y z) y)))
9.0b	(+.f64 (.f64 (/.f64 x (.f64 z z)) (+.f64 y (.f64 (/.f64 y z) y))) (-.f64 (/.f64 (-.f64 x y) z) (+.f64 (.f64 (/.f64 y z) (/.f64 y z)) (pow.f64 (/.f64 y z) 3))))
10.6b	(+.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (pow.f64 (/.f64 y z) 3))

rewrite303.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

53×	`frac-add_binary64_15431`
25×	`frac-sub_binary64_15432`
23×	`flip3-+_binary64_15426` `flip-+_binary64_15397`
22×	`frac-times_binary64_15433` `associate-*r/_binary64_15365`
18×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `cube-div_binary64_15452`
15×	`add-log-exp_binary64_15462`
14×	`add-sqr-sqrt_binary64_15445` `associate-*l/_binary64_15366`
11×	`*-un-lft-identity_binary64_15423`
10×	`add-cube-cbrt_binary64_15458`
7×	`associate-+r+_binary64_15355` `times-frac_binary64_15429` `associate-l_binary64_15364`
6×	`pow1_binary64_15484` `cancel-sign-sub-inv_binary64_15389`
5×	`sum-log_binary64_15514` `flip3--_binary64_15427` `flip--_binary64_15398` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `associate-r_binary64_15363`
4×	`cube-mult_binary64_15453` `div-exp_binary64_15474` `cbrt-undiv_binary64_15457`
3×	`distribute-rgt1-in_binary64_15379` `distribute-rgt-out_binary64_15376` `associate-/l*_binary64_15368`
2×	`unpow3_binary64_15489` `distribute-lft-out_binary64_15374` `+-commutative_binary64_15353` `diff-log_binary64_15515` `distribute-rgt-in_binary64_15373` `associate-+l+_binary64_15356` `distribute-lft-in_binary64_15372` `unswap-sqr_binary64_15391` `div-inv_binary64_15420`
1×	`associate-+r-_binary64_15357` `sub-neg_binary64_15416` `pow-prod-down_binary64_15494` `-commutative_binary64_15354` `frac-2neg_binary64_15434` `clear-num_binary64_15422` `associate-/r_binary64_15367`

Counts

4 → 132

Calls

4 calls:

43.0ms	(+.f64 (.f64 (/.f64 x (.f64 z z)) (+.f64 y (.f64 (/.f64 y z) y))) (-.f64 (/.f64 (-.f64 x y) z) (+.f64 (.f64 (/.f64 y z) (/.f64 y z)) (pow.f64 (/.f64 y z) 3))))
14.0ms	(+.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (pow.f64 (/.f64 y z) 3))
10.0ms	(.f64 (/.f64 x (.f64 z z)) (+.f64 y (*.f64 (/.f64 y z) y)))
4.0ms	(/.f64 x (*.f64 z z))

Compiler

Compiled 8914 to 1999 computations (77.6% saved)

series1.2s (23.4%)

Error

Counts

4 → 60

Calls

4 calls:

622.0ms	(+.f64 (.f64 (/.f64 x (.f64 z z)) (+.f64 y (.f64 (/.f64 y z) y))) (-.f64 (/.f64 (-.f64 x y) z) (+.f64 (.f64 (/.f64 y z) (/.f64 y z)) (pow.f64 (/.f64 y z) 3))))
257.0ms	(.f64 (/.f64 x (.f64 z z)) (+.f64 y (*.f64 (/.f64 y z) y)))
221.0ms	(+.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (pow.f64 (/.f64 y z) 3))
70.0ms	(/.f64 x (*.f64 z z))

Compiler

Compiled 4543 to 2657 computations (41.5% saved)

simplify98.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5425	9302

prune263.0ms (5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	192	3	195

Error

Counts

195 → 3

Compiler

Compiled 9240 to 2549 computations (72.4% saved)

regimes192.0ms (3.6%)

Accuracy

Total 0.0b remaining (95.1%)

Threshold costs 0.0b (95.1%)

Compiler

Compiled 1767 to 1119 computations (36.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample850.0ms (16.1%)

Algorithm

1×

intervals

Results

208.0ms	8000×	body	128	valid
5.0ms	225×	body	128	invalid

Compiler

Compiled 442 to 282 computations (36.2% saved)

Details

analyze413.0ms (7.8%)

sample16.0ms (0.3%)

simplify80.0ms (1.5%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite54.0ms (1%)

series217.0ms (4.1%)

simplify70.0ms (1.3%)

prune70.0ms (1.3%)

localize6.0ms (0.1%)

rewrite140.0ms (2.6%)

series476.0ms (9%)

simplify84.0ms (1.6%)

prune122.0ms (2.3%)

localize6.0ms (0.1%)

rewrite99.0ms (1.9%)

series301.0ms (5.7%)

simplify68.0ms (1.3%)

prune98.0ms (1.8%)

localize17.0ms (0.3%)

rewrite303.0ms (5.7%)

series1.2s (23.4%)

simplify98.0ms (1.8%)

prune263.0ms (5%)

regimes192.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample850.0ms (16.1%)

Profiling