Details

analyze481.0ms (5.9%)

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%	74.9%	25.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	7
6.2%	56.2%	37.6%	8
7.8%	53%	39.2%	9
10.9%	45.6%	43.4%	10
18.3%	31.4%	50.3%	11
19.1%	29.5%	51.3%	12
21.4%	24.8%	53.8%	13
25.8%	16.7%	57.5%	14

Compiler

Compiled 25 to 21 computations (16% saved)

sample34.0ms (0.4%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
2.0ms	32×	body	128	invalid
1.0ms	22×	body	128	nan

Compiler

Compiled 49 to 44 computations (10.2% saved)

simplify209.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4823	36
1	4823	36

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 5.7b

Counts

2 → 1

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
5.2b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite55.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
22×	`add-cube-cbrt_binary64_11707`
18×	`log-prod_binary64_11758`
12×	`associate--l+_binary64_11609`
11×	`add-log-exp_binary64_11711`
10×	`associate-+l+_binary64_11605`
9×	`distribute-lft-in_binary64_11621` `times-frac_binary64_11678` `distribute-rgt-in_binary64_11622`
8×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
7×	`pow1_binary64_11733`
6×	`cancel-sign-sub-inv_binary64_11638`
5×	`associate-l_binary64_11613`
4×	`associate-r_binary64_11612`
3×	`associate-/r_binary64_11616` `associate-/l_binary64_11617`
2×	`sum-log_binary64_11763` `associate-*l/_binary64_11615` `flip-+_binary64_11646` `flip3-+_binary64_11675` `flip3--_binary64_11676` `associate-/l/_binary64_11619` `flip--_binary64_11647` `sub-neg_binary64_11665` `diff-log_binary64_11764`
1×	`cbrt-undiv_binary64_11706` `cbrt-unprod_binary64_11705` `log-pow_binary64_11761` `distribute-lft-out--_binary64_11624` `div-exp_binary64_11723` `clear-num_binary64_11671` `+-commutative_binary64_11602` `unswap-sqr_binary64_11640` `associate-+l-_binary64_11607` `prod-exp_binary64_11721` `frac-2neg_binary64_11683` `difference-of-squares_binary64_11641` `div-inv_binary64_11669` `distribute-lft-out_binary64_11623` `*-commutative_binary64_11603` `pow-prod-down_binary64_11743`

Counts

4 → 102

Calls

4 calls:

12.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
12.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
8.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
8.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)

series511.0ms (6.3%)

Counts

4 → 27

Calls

4 calls:

278.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
118.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
69.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
45.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 1292 to 1057 computations (18.2% saved)

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4935	2338
1	4935	2338

prune247.0ms (3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	115	14	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	14	130

Merged error: 2.5b

Counts

130 → 14

Compiler

Compiled 4339 to 2925 computations (32.6% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(*.f64 (/.f64 z x) -3202559735019045/1152921504606846976)
6.6b	(.f64 (/.f64 (.f64 z z) x) (+.f64 y 7320129949063637/9223372036854775808))
8.4b	(/.f64 (*.f64 z z) x)

rewrite42.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64_11694`
25×	`-un-lft-identity_binary64_11672` `add-exp-log_binary64_11710` `associate-l*_binary64_11613` `add-cbrt-cube_binary64_11708`
21×	`add-cube-cbrt_binary64_11707`
17×	`times-frac_binary64_11678`
11×	`associate-r_binary64_11612` `pow1_binary64_11733`
8×	`cbrt-unprod_binary64_11705` `prod-exp_binary64_11721`
6×	`log-prod_binary64_11758`
5×	`cbrt-undiv_binary64_11706` `div-exp_binary64_11723` `unswap-sqr_binary64_11640`
4×	`add-log-exp_binary64_11711` `associate-*l/_binary64_11615` `distribute-lft-in_binary64_11621` `distribute-rgt-in_binary64_11622`
3×	`associate-/r_binary64_11616` `div-inv_binary64_11669` `-commutative_binary64_11603` `pow-prod-down_binary64_11743`
2×	`frac-times_binary64_11682` `flip-+_binary64_11646` `flip3-+_binary64_11675` `associate-*r/_binary64_11614`
1×	`log-pow_binary64_11761` `distribute-lft-out--_binary64_11624` `clear-num_binary64_11671` `flip3--_binary64_11676` `frac-2neg_binary64_11683` `difference-of-squares_binary64_11641` `distribute-lft-out_binary64_11623` `flip--_binary64_11647` `associate-/l*_binary64_11617`

Counts

4 → 117

Calls

4 calls:

10.0ms	(.f64 (/.f64 (.f64 z z) x) (+.f64 y 7320129949063637/9223372036854775808))
7.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
7.0ms	(*.f64 (/.f64 z x) -3202559735019045/1152921504606846976)
5.0ms	(/.f64 (*.f64 z z) x)

series389.0ms (4.8%)

Counts

4 → 28

Calls

4 calls:

189.0ms	(.f64 (/.f64 (.f64 z z) x) (+.f64 y 7320129949063637/9223372036854775808))
80.0ms	(/.f64 (*.f64 z z) x)
69.0ms	(*.f64 (/.f64 z x) -3202559735019045/1152921504606846976)
50.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 1647 to 1293 computations (21.5% saved)

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4954	1748
1	4954	1748

prune240.0ms (3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	138	7	145
Fresh	8	5	13
Picked	1	0	1
Done	0	0	0
Total	147	12	159

Merged error: 0.0b

Counts

159 → 12

Compiler

Compiled 5397 to 3043 computations (43.6% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(*.f64 (/.f64 z x) -3202559735019045/1152921504606846976)
6.6b	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7320129949063637/9223372036854775808))

rewrite64.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

79×	`times-frac_binary64_11678`
73×	`add-sqr-sqrt_binary64_11694`
62×	`associate-l_binary64_11613`
61×	`*-un-lft-identity_binary64_11672`
55×	`add-cube-cbrt_binary64_11707`
20×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
12×	`log-prod_binary64_11758`
11×	`associate-r_binary64_11612` `pow1_binary64_11733`
10×	`associate-+l+_binary64_11605`
9×	`add-log-exp_binary64_11711`
7×	`distribute-lft-in_binary64_11621` `distribute-rgt-in_binary64_11622`
6×	`cbrt-unprod_binary64_11705` `associate--l+_binary64_11609` `unswap-sqr_binary64_11640` `prod-exp_binary64_11721`
5×	`div-inv_binary64_11669`
4×	`cbrt-undiv_binary64_11706` `div-exp_binary64_11723` `associate-*l/_binary64_11615`
3×	`cancel-sign-sub-inv_binary64_11638` `flip-+_binary64_11646` `flip3-+_binary64_11675` `*-commutative_binary64_11603` `pow-prod-down_binary64_11743`
2×	`sum-log_binary64_11763` `frac-times_binary64_11682` `associate-*r/_binary64_11614` `distribute-lft-out_binary64_11623`
1×	`associate-/r/_binary64_11618` `log-pow_binary64_11761` `distribute-lft-out--_binary64_11624` `+-commutative_binary64_11602` `flip3--_binary64_11676` `associate-+l-_binary64_11607` `difference-of-squares_binary64_11641` `flip--_binary64_11647` `sub-neg_binary64_11665` `diff-log_binary64_11764`

Counts

4 → 158

Calls

4 calls:

17.0ms	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7320129949063637/9223372036854775808))
11.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
8.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
7.0ms	(*.f64 (/.f64 z x) -3202559735019045/1152921504606846976)

series405.0ms (5%)

Counts

4 → 27

Calls

4 calls:

175.0ms	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7320129949063637/9223372036854775808))
118.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
63.0ms	(*.f64 (/.f64 z x) -3202559735019045/1152921504606846976)
48.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 1539 to 1194 computations (22.4% saved)

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5014	2582

prune325.0ms (4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	185	12	197

Merged error: 0.0b

Counts

197 → 12

Compiler

Compiled 7136 to 3905 computations (45.3% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (log.f64 x) (-.f64 x 1/2))
0.2b	(*.f64 (/.f64 z x) -3202559735019045/1152921504606846976)
0.6b	(.f64 (sqrt.f64 (.f64 (log.f64 x) (-.f64 x 1/2))) (sqrt.f64 (*.f64 (log.f64 x) (-.f64 x 1/2))))
6.6b	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7320129949063637/9223372036854775808))

rewrite76.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

79×	`times-frac_binary64_11678`
76×	`add-sqr-sqrt_binary64_11694`
65×	`associate-l_binary64_11613`
60×	`pow1_binary64_11733` `*-un-lft-identity_binary64_11672`
56×	`add-cube-cbrt_binary64_11707`
28×	`sqrt-pow1_binary64_11690`
23×	`pow-prod-down_binary64_11743`
22×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
18×	`associate-*r/_binary64_11614`
16×	`associate-r_binary64_11612`
12×	`sqrt-div_binary64_11689`
10×	`pow1/2_binary64_11752` `pow-prod-up_binary64_11742`
7×	`cbrt-unprod_binary64_11705` `flip3--_binary64_11676` `unswap-sqr_binary64_11640` `prod-exp_binary64_11721` `flip--_binary64_11647`
6×	`pow-sqr_binary64_11645` `cancel-sign-sub-inv_binary64_11638` `frac-times_binary64_11682`
5×	`distribute-lft-in_binary64_11621` `div-inv_binary64_11669` `distribute-rgt-in_binary64_11622`
4×	`cbrt-undiv_binary64_11706` `div-exp_binary64_11723` `add-log-exp_binary64_11711` `associate-l/_binary64_11615` `sqrt-prod_binary64_11688` `swap-sqr_binary64_11639` `-commutative_binary64_11603`
2×	`flip-+_binary64_11646` `flip3-+_binary64_11675` `sub-neg_binary64_11665`
1×	`rem-square-sqrt_binary64_11684` `associate-/r/_binary64_11618` `log-pow_binary64_11761` `distribute-lft-out--_binary64_11624` `sqrt-unprod_binary64_11692` `pow2_binary64_11753` `difference-of-squares_binary64_11641` `distribute-lft-out_binary64_11623` `pow-plus_binary64_11735`

Counts

4 → 193

Calls

4 calls:

18.0ms	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7320129949063637/9223372036854775808))
15.0ms	(.f64 (sqrt.f64 (.f64 (log.f64 x) (-.f64 x 1/2))) (sqrt.f64 (*.f64 (log.f64 x) (-.f64 x 1/2))))
8.0ms	(*.f64 (log.f64 x) (-.f64 x 1/2))
7.0ms	(*.f64 (/.f64 z x) -3202559735019045/1152921504606846976)

series456.0ms (5.6%)

Counts

4 → 27

Calls

4 calls:

203.0ms	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7320129949063637/9223372036854775808))
100.0ms	(.f64 (sqrt.f64 (.f64 (log.f64 x) (-.f64 x 1/2))) (sqrt.f64 (*.f64 (log.f64 x) (-.f64 x 1/2))))
86.0ms	(*.f64 (log.f64 x) (-.f64 x 1/2))
68.0ms	(*.f64 (/.f64 z x) -3202559735019045/1152921504606846976)

Compiler

Compiled 2024 to 1527 computations (24.6% saved)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5324	2845

prune465.0ms (5.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	219	1	220
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	220	12	232

Merged error: 0b

Counts

232 → 12

Compiler

Compiled 9431 to 5290 computations (43.9% saved)

regimes1.1s (14%)

Compiler: Compiled 16467 to 12791 computations (22.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	45
1	50	45

end0.0ms (0%)

sample2.6s (32.1%)

Algorithm

1×

intervals

Results

619.0ms	8000×	body	128	valid
96.0ms	1226×	body	128	invalid
53.0ms	760×	body	128	nan

Compiler

Compiled 2218 to 1718 computations (22.5% saved)

Details

analyze481.0ms (5.9%)

sample34.0ms (0.4%)

simplify209.0ms (2.6%)

prune3.0ms (0%)

localize17.0ms (0.2%)

rewrite55.0ms (0.7%)

series511.0ms (6.3%)

simplify97.0ms (1.2%)

prune247.0ms (3%)

localize24.0ms (0.3%)

rewrite42.0ms (0.5%)

series389.0ms (4.8%)

simplify51.0ms (0.6%)

prune240.0ms (3%)

localize20.0ms (0.3%)

rewrite64.0ms (0.8%)

series405.0ms (5%)

simplify84.0ms (1%)

prune325.0ms (4%)

localize22.0ms (0.3%)

rewrite76.0ms (0.9%)

series456.0ms (5.6%)

simplify68.0ms (0.8%)

prune465.0ms (5.7%)

regimes1.1s (14%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.6s (32.1%)

Profiling