Details

analyze909.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4856	36
1	4856	36
0	2	2
1	2	2

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
6.2%	93.7%	0.1%	5
6.2%	90.5%	3.2%	6
21.9%	67.1%	11%	7
23.4%	64.8%	11.8%	8
32%	52.7%	15.3%	9
33.2%	51.3%	15.5%	10
37.7%	45.2%	17.2%	11
38.3%	44.4%	17.2%	12
40.6%	41.3%	18%	13
41%	41%	18%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample45.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	193×	body	128	valid
7.0ms	42×	body	1024	nan
6.0ms	32×	body	1024	valid
3.0ms	25×	body	512	nan
3.0ms	20×	body	512	valid
1.0ms	3×	body	2048	valid
1.0ms	19×	body	128	nan
1.0ms	8×	body	256	valid
0.0ms	4×	body	256	nan

Compiler

Compiled 25 to 25 computations (0% saved)

simplify349.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (343.0ms)

Iter	Nodes	Cost
0	5144	18

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

17.5b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
2.5b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
5.2b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite304.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

14.7b

Rules

118×	`add-sqr-sqrt_binary64_9989`
107×	`*-un-lft-identity_binary64_9967`
66×	`times-frac_binary64_9973`
49×	`difference-of-squares_binary64_9936`
40×	`cancel-sign-sub-inv_binary64_9933`
32×	`add-cube-cbrt_binary64_10002`
29×	`distribute-lft-out--_binary64_9919`
16×	`log-prod_binary64_10053`
8×	`associate--r+_binary64_9903`
7×	`pow1_binary64_10028` `flip3--_binary64_9971` `flip--_binary64_9942` `add-exp-log_binary64_10005` `add-log-exp_binary64_10006`
6×	`add-cbrt-cube_binary64_10003` `associate-/r*_binary64_9911`
5×	`associate-/l*_binary64_9912`
4×	`log-div_binary64_10054` `associate-/r/_binary64_9913`
3×	`log-pow_binary64_10056` `associate--r-_binary64_9906`
2×	`diff-log_binary64_10059` `sub-neg_binary64_9960` `div-inv_binary64_9964` `div-sub_binary64_9972` `associate-/l/_binary64_9914`
1×	`rem-log-exp_binary64_10008` `div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `frac-2neg_binary64_9978` `clear-num_binary64_9966`

Counts

4 → 159

Calls

4 calls:

22.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
22.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
20.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 3700 to 2380 computations (35.7% saved)

series919.0ms (8.1%)

Error

0.0b

Counts

4 → 62

Calls

4 calls:

312.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
261.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
127.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
109.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 4624 to 3700 computations (20% saved)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5498	6348

prune294.0ms (2.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	218	3	221
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	219	3	222

Error

Counts

222 → 3

Compiler

Compiled 5387 to 3456 computations (35.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.1b	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
2.5b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

rewrite336.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

177×	`add-sqr-sqrt_binary64_9989`
145×	`*-un-lft-identity_binary64_9967`
124×	`times-frac_binary64_9973`
67×	`difference-of-squares_binary64_9936`
54×	`add-cube-cbrt_binary64_10002`
36×	`cancel-sign-sub-inv_binary64_9933`
32×	`distribute-lft-out--_binary64_9919`
30×	`log-prod_binary64_10053`
14×	`associate-/r*_binary64_9911`
13×	`add-exp-log_binary64_10005`
8×	`add-cbrt-cube_binary64_10003` `associate-/r/_binary64_9913` `associate-/l*_binary64_9912`
6×	`add-log-exp_binary64_10006` `flip3--_binary64_9971` `flip--_binary64_9942`
5×	`pow1_binary64_10028` `div-exp_binary64_10018`
4×	`div-inv_binary64_9964`
3×	`rem-log-exp_binary64_10008`
2×	`div-sub_binary64_9972` `e-exp-1_binary64_10012` `cbrt-undiv_binary64_10001` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `associate-/l/_binary64_9914`
1×	`diff-log_binary64_10059` `sub-neg_binary64_9960` `associate--r-_binary64_9906` `log-pow_binary64_10056` `log-div_binary64_10054`

Counts

4 → 203

Calls

4 calls:

24.0ms	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
21.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
20.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 4869 to 2865 computations (41.2% saved)

series2.2s (19.1%)

Error

Counts

4 → 65

Calls

4 calls:

1.1s	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
606.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
132.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
101.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 9311 to 7120 computations (23.5% saved)

simplify143.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4984	11523
1	4984	11523

prune509.0ms (4.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	267	1	268
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	268	3	271

Error

Counts

271 → 3

Compiler

Compiled 8675 to 5305 computations (38.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (-.f64 (/.f64 E.f64 (-.f64 1 x)) (*.f64 (/.f64 E.f64 (-.f64 1 x)) y)))
0.1b	(/.f64 E.f64 (-.f64 1 x))
0.1b	(/.f64 E.f64 (-.f64 1 x))
0.3b	(*.f64 (/.f64 E.f64 (-.f64 1 x)) y)

rewrite203.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

76×	`add-sqr-sqrt_binary64_9989`
71×	`*-un-lft-identity_binary64_9967`
55×	`times-frac_binary64_9973`
38×	`add-cube-cbrt_binary64_10002`
24×	`associate-l_binary64_9908`
22×	`difference-of-squares_binary64_9936`
18×	`add-exp-log_binary64_10005`
13×	`add-cbrt-cube_binary64_10003`
12×	`associate-/r*_binary64_9911`
11×	`distribute-lft-out--_binary64_9919`
7×	`pow1_binary64_10028`
6×	`div-exp_binary64_10018` `associate-/r/_binary64_9913` `associate-/l*_binary64_9912`
4×	`add-log-exp_binary64_10006` `flip3--_binary64_9971` `flip--_binary64_9942` `log-div_binary64_10054`
3×	`e-exp-1_binary64_10012` `prod-exp_binary64_10016` `cbrt-undiv_binary64_10001` `associate-l/_binary64_9910` `div-inv_binary64_9964` `associate-r*_binary64_9907` `log-prod_binary64_10053`
2×	`cbrt-unprod_binary64_10000` `unswap-sqr_binary64_9935` `frac-2neg_binary64_9978` `clear-num_binary64_9966`
1×	`pow-prod-down_binary64_10038` `*-commutative_binary64_9898` `log-pow_binary64_10056` `frac-sub_binary64_9976` `sub-div_binary64_9974` `rem-log-exp_binary64_10008`

Counts

4 → 144

Calls

4 calls:

14.0ms	(*.f64 (/.f64 E.f64 (-.f64 1 x)) y)
11.0ms	(log.f64 (-.f64 (/.f64 E.f64 (-.f64 1 x)) (*.f64 (/.f64 E.f64 (-.f64 1 x)) y)))
6.0ms	(/.f64 E.f64 (-.f64 1 x))
6.0ms	(/.f64 E.f64 (-.f64 1 x))

Compiler

Compiled 3260 to 2093 computations (35.8% saved)

series338.0ms (3%)

Error

Counts

4 → 47

Calls

4 calls:

156.0ms	(log.f64 (-.f64 (/.f64 E.f64 (-.f64 1 x)) (*.f64 (/.f64 E.f64 (-.f64 1 x)) y)))
78.0ms	(*.f64 (/.f64 E.f64 (-.f64 1 x)) y)
34.0ms	(/.f64 E.f64 (-.f64 1 x))
25.0ms	(/.f64 E.f64 (-.f64 1 x))

Compiler

Compiled 2282 to 1483 computations (35% saved)

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5037	3362

prune198.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	191	3	194

Error

Counts

194 → 3

Compiler

Compiled 3911 to 2446 computations (37.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 1 (log.f64 (-.f64 1 y))))
3.4b	(log.f64 (-.f64 1 y))

rewrite43.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`*-un-lft-identity_binary64_9967`
6×	`log-prod_binary64_10053` `add-sqr-sqrt_binary64_9989` `add-log-exp_binary64_10006`
5×	`distribute-lft-out_binary64_9918`
4×	`pow1_binary64_10028` `log-div_binary64_10054` `associate-+r-_binary64_9901`
3×	`add-cube-cbrt_binary64_10002` `add-exp-log_binary64_10005` `sum-log_binary64_10058`
2×	`log-pow_binary64_10056` `flip3--_binary64_9971` `flip--_binary64_9942` `difference-of-squares_binary64_9936` `add-cbrt-cube_binary64_10003`
1×	`distribute-lft-out--_binary64_9919` `rem-log-exp_binary64_10008` `flip3-+_binary64_9970` `flip-+_binary64_9941` `associate-+r+_binary64_9899` `+-commutative_binary64_9897`

Counts

2 → 35

Calls

2 calls:

7.0ms	(+.f64 x (+.f64 1 (log.f64 (-.f64 1 y))))
4.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 533 to 417 computations (21.8% saved)

series147.0ms (1.3%)

Error

Counts

2 → 20

Calls

2 calls:

106.0ms	(+.f64 x (+.f64 1 (log.f64 (-.f64 1 y))))
27.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 483 to 425 computations (12% saved)

simplify100.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4920	691
1	4920	691

prune41.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	55	3	58

Error

Counts

58 → 3

Compiler

Compiled 647 to 477 computations (26.3% saved)

regimes1.1s (9.4%)

Accuracy

Total 0.0b remaining (93%)

Threshold costs 0.0b (93%)

Compiler

Compiled 11978 to 9984 computations (16.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	16
1	30	16

end0.0ms (0%)

sample3.1s (26.8%)

Algorithm

1×

intervals

Results

316.0ms	5891×	body	128	valid
209.0ms	1026×	body	1024	valid
145.0ms	993×	body	1024	nan
88.0ms	645×	body	512	valid
77.0ms	675×	body	512	nan
32.0ms	365×	body	256	valid
24.0ms	338×	body	256	nan
21.0ms	73×	body	2048	valid
16.0ms	446×	body	128	nan
1.0ms	4×	body	2048	nan

Compiler

Compiled 1948 to 1617 computations (17% saved)

Details

analyze909.0ms (8%)

sample45.0ms (0.4%)

simplify349.0ms (3.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite304.0ms (2.7%)

series919.0ms (8.1%)

simplify73.0ms (0.6%)

prune294.0ms (2.6%)

localize9.0ms (0.1%)

rewrite336.0ms (3%)

series2.2s (19.1%)

simplify143.0ms (1.3%)

prune509.0ms (4.5%)

localize8.0ms (0.1%)

rewrite203.0ms (1.8%)

series338.0ms (3%)

simplify88.0ms (0.8%)

prune198.0ms (1.7%)

localize6.0ms (0.1%)

rewrite43.0ms (0.4%)

series147.0ms (1.3%)

simplify100.0ms (0.9%)

prune41.0ms (0.4%)

regimes1.1s (9.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.1s (26.8%)

Profiling