Details

analyze443.0ms (9.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5790	44
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	18.7%	81.3%	0
0%	18.7%	81.3%	1
0%	18.7%	81.3%	2
0%	18.7%	81.3%	3
0%	18.7%	81.3%	4
4.7%	14%	81.3%	5
5.3%	13.5%	81.3%	6
18.1%	0.6%	81.3%	7
18.1%	0.6%	81.3%	8
18.6%	0.1%	81.3%	9
18.6%	0.1%	81.3%	10
18.7%	0%	81.3%	11
18.7%	0%	81.3%	12
18.7%	0%	81.3%	13
18.7%	0%	81.3%	14

Compiler

Compiled 23 to 15 computations (34.8% saved)

sample32.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify195.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (189.0ms)

Iter	Nodes	Cost
0	4979	22
1	4979	22

prune3.0ms (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

20.8b

Counts

2 → 1

Compiler

Compiled 30 to 18 computations (40% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 x y) (+.f64 x y))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
20.6b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

rewrite113.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

20.5b

Rules

11×	`add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
10×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`flip3-+_binary64_2468` `frac-times_binary64_2475` `associate-/l/_binary64_2412` `flip-+_binary64_2439`
7×	`add-cube-cbrt_binary64_2500`
6×	`flip3--_binary64_2469` `flip--_binary64_2440`
5×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `associate-l_binary64_2406`
4×	`associate-l/_binary64_2408` `associate-r/_binary64_2407` `associate-r_binary64_2405`
3×	`times-frac_binary64_2471` `associate-/r*_binary64_2409`
2×	`prod-exp_binary64_2514` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `cbrt-unprod_binary64_2498` `associate-/r/_binary64_2411`
1×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l_binary64_2410` `sum-log_binary64_2556` `+-commutative_binary64_2395` `pow-prod-down_binary64_2536` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `-commutative_binary64_2396`

Counts

3 → 73

Calls

3 calls:

18.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
9.0ms	(*.f64 (-.f64 x y) (+.f64 x y))
6.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1909 to 319 computations (83.3% saved)

series397.0ms (8.2%)

Error

0.4b

Counts

3 → 36

Calls

3 calls:

135.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
129.0ms	(*.f64 (-.f64 x y) (+.f64 x y))
96.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1086 to 746 computations (31.3% saved)

simplify83.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	6449	1728

prune90.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	5	110

Error

0.4b

Counts

110 → 5

Compiler

Compiled 2162 to 376 computations (82.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
20.6b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))

rewrite66.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

12×	`times-frac_binary64_2471`
11×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
4×	`add-exp-log_binary64_2503` `add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `difference-of-squares_binary64_2434` `associate-/l*_binary64_2410`
3×	`associate-/r*_binary64_2409`
2×	`pow1_binary64_2526` `associate-/l/_binary64_2412` `flip3-+_binary64_2468` `associate-/r/_binary64_2411` `flip-+_binary64_2439`
1×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3--_binary64_2469` `flip--_binary64_2440` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

2 → 47

Calls

2 calls:

9.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1317 to 166 computations (87.4% saved)

series203.0ms (4.2%)

Error

0.4b

Counts

2 → 24

Calls

2 calls:

104.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
84.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 672 to 497 computations (26% saved)

simplify80.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5219	1502

prune56.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	71	5	76

Error

0.4b

Counts

76 → 5

Compiler

Compiled 1475 to 218 computations (85.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))) (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y y)))))
20.6b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
20.6b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
20.6b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))

rewrite405.0ms (8.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

91×	`add-sqr-sqrt_binary64_2487`
90×	`times-frac_binary64_2471`
84×	`cbrt-prod_binary64_2496`
67×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
24×	`difference-of-squares_binary64_2434`
21×	`swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
14×	`associate-/r/_binary64_2411`
12×	`add-exp-log_binary64_2503` `associate-/l*_binary64_2410`
11×	`pow1_binary64_2526`
10×	`add-cbrt-cube_binary64_2501`
9×	`associate-/r*_binary64_2409` `unswap-sqr_binary64_2433`
7×	`div-inv_binary64_2462` `flip3-+_binary64_2468` `flip-+_binary64_2439`
6×	`associate-/l/_binary64_2412` `pow1/3_binary64_2547`
4×	`add-log-exp_binary64_2504` `cbrt-div_binary64_2497`
3×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `flip3--_binary64_2469` `flip--_binary64_2440`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `frac-times_binary64_2475` `associate-l/_binary64_2408` `associate-r/_binary64_2407` `*-commutative_binary64_2396`

Counts

4 → 201

Calls

4 calls:

28.0ms	(.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))) (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y y)))))
16.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
11.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
9.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))

Compiler

Compiled 13623 to 900 computations (93.4% saved)

series695.0ms (14.3%)

Error

0.4b

Counts

4 → 48

Calls

4 calls:

226.0ms	(.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))) (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y y)))))
156.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
141.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
127.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))

Compiler

Compiled 4740 to 1761 computations (62.8% saved)

simplify163.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4931	8937
1	4931	8937

prune334.0ms (6.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	249	5	254

Error

0.4b

Counts

254 → 5

Compiler

Compiled 14296 to 1138 computations (92% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.4b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	2	2
Total	5	5

Error

0.4b

Counts

5 → 5

Compiler

Compiled 0 to 0 computations (0% saved)

regimes205.0ms (4.2%)

Accuracy

Total 4.6b remaining (89.8%)

Threshold costs 0b (0%)

Compiler

Compiled 1310 to 596 computations (54.5% saved)

bsearch2.0ms (0%)

Compiler: Compiled 15 to 9 computations (40% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	50
1	39	50

end0.0ms (0%)

sample1.2s (25.7%)

Algorithm

1×

intervals

Results

352.0ms	8000×	body	128	valid
190.0ms	8000×	pre	128	true

Compiler

Compiled 470 to 225 computations (52.1% saved)

Details

analyze443.0ms (9.1%)

sample32.0ms (0.7%)

simplify195.0ms (4%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite113.0ms (2.3%)

series397.0ms (8.2%)

simplify83.0ms (1.7%)

prune90.0ms (1.8%)

localize7.0ms (0.1%)

rewrite66.0ms (1.4%)

series203.0ms (4.2%)

simplify80.0ms (1.6%)

prune56.0ms (1.2%)

localize13.0ms (0.3%)

rewrite405.0ms (8.4%)

series695.0ms (14.3%)

simplify163.0ms (3.4%)

prune334.0ms (6.9%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune1.0ms (0%)

regimes205.0ms (4.2%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (25.7%)

Profiling