Details

analyze851.0ms (2.7%)

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
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)

sample62.0ms (0.2%)

Algorithm

1×

intervals

Results

16.0ms	193×	body	128	valid
9.0ms	29×	body	1024	valid
7.0ms	30×	body	1024	nan
6.0ms	24×	body	512	valid
4.0ms	23×	body	512	nan
2.0ms	15×	body	256	nan
1.0ms	21×	body	128	nan
1.0ms	9×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify688.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (564.0ms)

Iter	Nodes	Cost
0	5144	18

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

16.9b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

5.1b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
2.5b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
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)))
5.1b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite131.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`add-sqr-sqrt_binary64_8085`
107×	`*-un-lft-identity_binary64_8063`
66×	`times-frac_binary64_8069`
49×	`difference-of-squares_binary64_8032`
40×	`cancel-sign-sub-inv_binary64_8029`
32×	`add-cube-cbrt_binary64_8098`
29×	`distribute-lft-out--_binary64_8015`
16×	`log-prod_binary64_8149`
8×	`associate--r+_binary64_7999`
7×	`add-log-exp_binary64_8102` `add-exp-log_binary64_8101` `flip--_binary64_8038` `flip3--_binary64_8067` `pow1_binary64_8124`
6×	`associate-/r*_binary64_8007` `add-cbrt-cube_binary64_8099`
5×	`associate-/l*_binary64_8008`
4×	`log-div_binary64_8150` `associate-/r/_binary64_8009`
3×	`associate--r-_binary64_8002` `log-pow_binary64_8152`
2×	`associate-/l/_binary64_8010` `sub-neg_binary64_8056` `div-inv_binary64_8060` `diff-log_binary64_8155` `div-sub_binary64_8068`
1×	`clear-num_binary64_8062` `frac-2neg_binary64_8074` `rem-log-exp_binary64_8104` `div-exp_binary64_8114` `cbrt-undiv_binary64_8097`

Counts

4 → 159

Calls

8 calls:

36.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
34.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
25.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
20.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))

series1.4s (4.3%)

Counts

4 → 74

Calls

4 calls:

517.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
438.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
213.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
183.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 2762 to 2296 computations (16.9% saved)

simplify125.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5260	6825

prune658.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	229	4	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	230	4	234

Error

Counts

234 → 4

Compiler

Compiled 5741 to 3702 computations (35.5% saved)

localize22.0ms (0.1%)

Local error

Found 8 expressions with local error:

4.7b	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))
0.1b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
0.0b	(/.f64 1 (-.f64 1 y))
0.0b	(-.f64 1 (log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))))
0.0b	(/.f64 1 (-.f64 1 y))
0.1b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
4.7b	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))
5.1b	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))

rewrite65.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64_8085`
51×	`*-un-lft-identity_binary64_8063`
38×	`times-frac_binary64_8069`
27×	`add-cube-cbrt_binary64_8098`
24×	`associate-r_binary64_8003`
18×	`add-exp-log_binary64_8101`
15×	`difference-of-squares_binary64_8032`
11×	`add-cbrt-cube_binary64_8099`
8×	`distribute-lft-out--_binary64_8015` `pow1_binary64_8124`
6×	`associate-/r*_binary64_8007` `add-log-exp_binary64_8102` `flip--_binary64_8038` `flip3--_binary64_8067`
5×	`associate-l_binary64_8004`
4×	`prod-exp_binary64_8112` `associate-/r/_binary64_8009` `div-exp_binary64_8114`
3×	`unswap-sqr_binary64_8031` `associate-/l*_binary64_8008` `log-prod_binary64_8149`
2×	`cbrt-unprod_binary64_8096` `log-div_binary64_8150` `div-inv_binary64_8060` `1-exp_binary64_8107` `associate-*l/_binary64_8006` `rec-exp_binary64_8113` `frac-times_binary64_8073` `cbrt-undiv_binary64_8097`
1×	`clear-num_binary64_8062` `-commutative_binary64_7994` `un-div-inv_binary64_8061` `associate-r/_binary64_8005` `inv-pow_binary64_8148` `frac-2neg_binary64_8074` `rem-log-exp_binary64_8104` `sub-neg_binary64_8056` `log-pow_binary64_8152` `pow-flip_binary64_8137` `diff-log_binary64_8155` `pow-prod-down_binary64_8134` `cancel-sign-sub-inv_binary64_8029`

Counts

4 → 124

Calls

8 calls:

32.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
8.0ms	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))
7.0ms	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))
6.0ms	(/.f64 1 (-.f64 1 y))
0.0ms	(-.f64 1 (log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))))

series887.0ms (2.8%)

Counts

4 → 67

Calls

4 calls:

433.0ms	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))
205.0ms	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))
194.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
54.0ms	(/.f64 1 (-.f64 1 y))

Compiler

Compiled 2007 to 1691 computations (15.7% saved)

simplify183.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4960	3980
1	4960	3980

prune355.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	191	4	195

Error

Counts

195 → 4

Compiler

Compiled 4219 to 2912 computations (31% saved)

localize18.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

rewrite147.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

177×	`add-sqr-sqrt_binary64_8085`
145×	`*-un-lft-identity_binary64_8063`
124×	`times-frac_binary64_8069`
67×	`difference-of-squares_binary64_8032`
54×	`add-cube-cbrt_binary64_8098`
36×	`cancel-sign-sub-inv_binary64_8029`
32×	`distribute-lft-out--_binary64_8015`
30×	`log-prod_binary64_8149`
14×	`associate-/r*_binary64_8007`
13×	`add-exp-log_binary64_8101`
8×	`add-cbrt-cube_binary64_8099` `associate-/r/_binary64_8009` `associate-/l*_binary64_8008`
6×	`add-log-exp_binary64_8102` `flip--_binary64_8038` `flip3--_binary64_8067`
5×	`div-exp_binary64_8114` `pow1_binary64_8124`
4×	`div-inv_binary64_8060`
3×	`rem-log-exp_binary64_8104`
2×	`clear-num_binary64_8062` `associate-/l/_binary64_8010` `frac-2neg_binary64_8074` `e-exp-1_binary64_8108` `div-sub_binary64_8068` `cbrt-undiv_binary64_8097`
1×	`associate--r-_binary64_8002` `log-div_binary64_8150` `sub-neg_binary64_8056` `log-pow_binary64_8152` `diff-log_binary64_8155`

Counts

4 → 203

Calls

8 calls:

32.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
25.0ms	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
19.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
18.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

series3.1s (9.8%)

Counts

4 → 73

Calls

4 calls:

1.7s	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
1.0s	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
233.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
161.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 4899 to 3877 computations (20.9% saved)

simplify205.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4973	11818
1	4973	11818

prune745.0ms (2.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	276	4	280

Error

Counts

280 → 4

Compiler

Compiled 8896 to 5424 computations (39% saved)

localize36.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b	(+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.0b	(-.f64 1 (-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))) (log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))))
0.3b	(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))) (log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))))
2.5b	(-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
12.7b	(log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)))
12.8b	(log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))

rewrite242.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`add-sqr-sqrt_binary64_8085`
116×	`*-un-lft-identity_binary64_8063`
82×	`cancel-sign-sub-inv_binary64_8029`
72×	`times-frac_binary64_8069`
69×	`difference-of-squares_binary64_8032`
48×	`unpow-prod-down_binary64_8142` `cube-prod_binary64_8091`
38×	`log-prod_binary64_8149`
34×	`add-cube-cbrt_binary64_8098`
29×	`distribute-lft-out--_binary64_8015`
16×	`associate--l+_binary64_8000`
11×	`pow1_binary64_8124`
8×	`log-div_binary64_8150`
7×	`sqr-pow_binary64_8035` `log-pow_binary64_8152`
6×	`add-log-exp_binary64_8102` `add-exp-log_binary64_8101` `flip--_binary64_8038` `flip3--_binary64_8067`
4×	`add-cbrt-cube_binary64_8099` `associate-/r/_binary64_8009`
3×	`associate--r+_binary64_7999`
2×	`associate--r-_binary64_8002` `associate--l-_binary64_8001` `flip3-+_binary64_8066` `flip-+_binary64_8037` `rem-log-exp_binary64_8104` `sub-neg_binary64_8056` `div-inv_binary64_8060` `diff-log_binary64_8155`
1×	`unpow3_binary64_8129` `cube-mult_binary64_8093`

Counts

4 → 186

Calls

8 calls:

72.0ms	(-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
66.0ms	(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))) (log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))))
40.0ms	(log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)))
6.0ms	(log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))
0.0ms	(-.f64 1 (-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))) (log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))))

series11.5s (36.6%)

Counts

4 → 68

Calls

4 calls:

5.4s	(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))) (log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))))
4.8s	(log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))
809.0ms	(log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)))
528.0ms	(-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))

Compiler

Compiled 13790 to 11066 computations (19.8% saved)

simplify323.0ms (1%)

Algorithm

1×	egg-herbie

Counts

254 → 254

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5232	21259

prune2.0s (6.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	254	4	258

Error

Counts

258 → 4

Compiler

Compiled 19453 to 12854 computations (33.9% saved)

simplify76.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	1600	1468
1	1600	1468

regimes1.1s (3.5%)

Accuracy

Total 0.3b remaining (77.9%)

Threshold costs 0.3b (77.9%)

Compiler

Compiled 4781 to 4021 computations (15.9% saved)

bsearch4.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	148	66
1	148	66

end0.0ms (0%)

sample6.6s (20.9%)

Algorithm

1×

intervals

Results

496.0ms	5851×	body	128	valid
340.0ms	1006×	body	1024	valid
250.0ms	1007×	body	1024	nan
153.0ms	653×	body	512	valid
122.0ms	639×	body	512	nan
69.0ms	420×	body	256	valid
42.0ms	350×	body	256	nan
34.0ms	70×	body	2048	valid
29.0ms	476×	body	128	nan
0.0ms	1×	body	2048	nan

Compiler

Compiled 2312 to 1908 computations (17.5% saved)

Pareto

-0.229252628310155

Details

analyze851.0ms (2.7%)

sample62.0ms (0.2%)

simplify688.0ms (2.2%)

prune2.0ms (0%)

localize9.0ms (0%)

rewrite131.0ms (0.4%)

series1.4s (4.3%)

simplify125.0ms (0.4%)

prune658.0ms (2.1%)

localize22.0ms (0.1%)

rewrite65.0ms (0.2%)

series887.0ms (2.8%)

simplify183.0ms (0.6%)

prune355.0ms (1.1%)

localize18.0ms (0.1%)

rewrite147.0ms (0.5%)

series3.1s (9.8%)

simplify205.0ms (0.6%)

prune745.0ms (2.4%)

localize36.0ms (0.1%)

rewrite242.0ms (0.8%)

series11.5s (36.6%)

simplify323.0ms (1%)

prune2.0s (6.4%)

simplify76.0ms (0.2%)

regimes1.1s (3.5%)

bsearch4.0ms (0%)

simplify9.0ms (0%)

end0.0ms (0%)

sample6.6s (20.9%)

Profiling