Details

analyze258.0ms (3.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample32.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	244×	body	128	valid
8.0ms	285×	pre	128	true
1.0ms	29×	body	128	nan
1.0ms	12×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify469.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (296.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

prune6.0ms (0.1%)

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: 29.0b

Counts

2 → 1

Compiler

Compiled 66 to 54 computations (18.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
28.8b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

rewrite39.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_2143`
14×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
10×	`add-log-exp_binary64_2182`
9×	`pow1_binary64_2204`
7×	`add-sqr-sqrt_binary64_2165` `add-cube-cbrt_binary64_2178`
6×	`distribute-lft-out_binary64_2094`
5×	`associate-/l*_binary64_2088` `times-frac_binary64_2149`
4×	`cbrt-unprod_binary64_2176` `prod-exp_binary64_2192`
3×	`distribute-rgt-neg-in_binary64_2101` `associate-r_binary64_2083` `pow-prod-down_binary64_2214`
2×	`cbrt-undiv_binary64_2177` `associate-+l-_binary64_2078` `neg-sub0_binary64_2138` `sum-log_binary64_2234` `flip3-+_binary64_2146` `flip-+_binary64_2117` `div-exp_binary64_2194` `associate-/l/_binary64_2090`
1×	`+-commutative_binary64_2073` `diff-log_binary64_2235` `clear-num_binary64_2142` `flip--_binary64_2118` `associate-/r_binary64_2087` `sub-neg_binary64_2136` `div-inv_binary64_2140` `associate-l_binary64_2084` `flip3--_binary64_2147` `cancel-sign-sub-inv_binary64_2109` `neg-log_binary64_2236` `-commutative_binary64_2074` `frac-2neg_binary64_2154` `div-sub_binary64_2148`

Counts

4 → 73

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
9.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series453.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

225.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
138.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
61.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
29.0ms	(.f64 (.f64 3 a) c)

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5018	1664

prune191.0ms (2.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	6	86

Merged error: 0.4b

Counts

86 → 6

Compiler

Compiled 3915 to 2581 computations (34.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
0.4b	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))

rewrite59.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
34×	`times-frac_binary64_2149`
27×	`add-sqr-sqrt_binary64_2165` `*-un-lft-identity_binary64_2143`
17×	`cbrt-undiv_binary64_2177` `div-exp_binary64_2194`
16×	`cbrt-unprod_binary64_2176` `prod-exp_binary64_2192`
14×	`associate-/l*_binary64_2088`
11×	`add-cube-cbrt_binary64_2178`
9×	`pow1_binary64_2204`
8×	`associate-/r*_binary64_2087` `distribute-lft-out--_binary64_2095` `difference-of-squares_binary64_2112`
6×	`add-log-exp_binary64_2182` `associate-/r/_binary64_2089`
4×	`flip--_binary64_2118` `distribute-rgt-neg-in_binary64_2101` `div-inv_binary64_2140` `sqrt-prod_binary64_2159` `flip3--_binary64_2147`
3×	`associate-r_binary64_2083` `pow-prod-down_binary64_2214`
2×	`clear-num_binary64_2142` `frac-2neg_binary64_2154`
1×	`diff-log_binary64_2235` `sub-neg_binary64_2136` `associate-l_binary64_2084` `cancel-sign-sub-inv_binary64_2109` `*-commutative_binary64_2074` `associate-/l/_binary64_2090`

Counts

4 → 117

Calls

4 calls:

18.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
16.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series812.0ms (11.3%)

Counts

4 → 12

Calls

4 calls:

404.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
311.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
68.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
29.0ms	(.f64 (.f64 3 a) c)

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4925	3400
1	4925	3400

prune628.0ms (8.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	117	12	129
Fresh	5	0	5
Picked	1	0	1
Done	0	0	0
Total	123	12	135

Merged error: 0b

Counts

135 → 12

Compiler

Compiled 13808 to 9244 computations (33.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 c (.f64 3 a))
0.2b	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
0.3b	(.f64 a (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a))
0.3b	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)

rewrite110.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

312×	`times-frac_binary64_2149`
232×	`add-sqr-sqrt_binary64_2165`
223×	`*-un-lft-identity_binary64_2143`
139×	`add-cube-cbrt_binary64_2178`
86×	`associate-r_binary64_2083`
42×	`distribute-lft-out--_binary64_2095` `difference-of-squares_binary64_2112`
27×	`associate-/l*_binary64_2088`
23×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
21×	`distribute-rgt-neg-in_binary64_2101` `sqrt-prod_binary64_2159`
14×	`associate-/r/_binary64_2089`
11×	`pow1_binary64_2204`
9×	`div-inv_binary64_2140`
8×	`flip--_binary64_2118` `flip3--_binary64_2147`
6×	`cbrt-undiv_binary64_2177` `add-log-exp_binary64_2182` `cbrt-unprod_binary64_2176` `associate-l_binary64_2084` `prod-exp_binary64_2192` `div-exp_binary64_2194`
4×	`pow-prod-down_binary64_2214`
3×	`associate-/r*_binary64_2087` `unswap-sqr_binary64_2111`
2×	`*-commutative_binary64_2074`
1×	`diff-log_binary64_2235` `clear-num_binary64_2142` `sub-neg_binary64_2136` `associate-*r/_binary64_2085` `cancel-sign-sub-inv_binary64_2109` `frac-2neg_binary64_2154` `associate-/l/_binary64_2090`

Counts

4 → 263

Calls

4 calls:

40.0ms	(.f64 a (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a))
18.0ms	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)
6.0ms	(.f64 c (.f64 3 a))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))

series888.0ms (12.3%)

Counts

4 → 12

Calls

4 calls:

479.0ms	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)
309.0ms	(.f64 a (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a))
69.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
31.0ms	(.f64 c (.f64 3 a))

simplify123.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5166	9506

prune650.0ms (9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	272	3	275
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	277	10	287

Merged error: 0b

Counts

287 → 10

Compiler

Compiled 15127 to 8461 computations (44.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a))))))
0.2b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))
0.2b	(.f64 c (.f64 3 a))
0.2b	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_2165` `*-un-lft-identity_binary64_2143`
21×	`times-frac_binary64_2149`
19×	`add-cube-cbrt_binary64_2178`
11×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
10×	`add-log-exp_binary64_2182` `distribute-lft-out--_binary64_2095` `difference-of-squares_binary64_2112`
9×	`pow1_binary64_2204`
8×	`sqrt-prod_binary64_2159`
7×	`associate-/r*_binary64_2087` `cancel-sign-sub-inv_binary64_2109`
5×	`distribute-rgt-neg-in_binary64_2101`
3×	`diff-log_binary64_2235` `flip--_binary64_2118` `associate-/l_binary64_2088` `cbrt-unprod_binary64_2176` `associate-l*_binary64_2084` `flip3--_binary64_2147` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192`
2×	`associate-/r/_binary64_2089` `sub-neg_binary64_2136`
1×	`cbrt-undiv_binary64_2177` `clear-num_binary64_2142` `associate-r_binary64_2083` `associate--l-_binary64_2081` `div-inv_binary64_2140` `neg-sub0_binary64_2138` `neg-log_binary64_2236` `*-commutative_binary64_2074` `div-exp_binary64_2194` `frac-2neg_binary64_2154`

Counts

4 → 98

Calls

4 calls:

11.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a))))))
10.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))
7.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
6.0ms	(.f64 c (.f64 3 a))

series575.0ms (8%)

Counts

4 → 12

Calls

4 calls:

348.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a))))))
134.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))
63.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
29.0ms	(.f64 c (.f64 3 a))

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4927	2689
1	4927	2689

prune262.0ms (3.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	110	10	120

Merged error: 0b

Counts

120 → 10

Compiler

Compiled 5613 to 3597 computations (35.9% saved)

regimes108.0ms (1.5%)

Compiler: Compiled 1200 to 888 computations (26% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	23
1	81	23

end0.0ms (0%)

sample1.2s (16.7%)

Algorithm

1×

intervals

Results

390.0ms	7669×	body	128	valid
268.0ms	8970×	pre	128	true
45.0ms	970×	body	128	nan
32.0ms	331×	body	256	valid

Compiler

Compiled 342 to 254 computations (25.7% saved)

Details

analyze258.0ms (3.6%)

sample32.0ms (0.4%)

simplify469.0ms (6.5%)

prune6.0ms (0.1%)

localize11.0ms (0.1%)

rewrite39.0ms (0.5%)

series453.0ms (6.3%)

simplify61.0ms (0.9%)

prune191.0ms (2.7%)

localize14.0ms (0.2%)

rewrite59.0ms (0.8%)

series812.0ms (11.3%)

simplify96.0ms (1.3%)

prune628.0ms (8.7%)

localize13.0ms (0.2%)

rewrite110.0ms (1.5%)

series888.0ms (12.3%)

simplify123.0ms (1.7%)

prune650.0ms (9%)

localize12.0ms (0.2%)

rewrite44.0ms (0.6%)

series575.0ms (8%)

simplify83.0ms (1.2%)

prune262.0ms (3.6%)

regimes108.0ms (1.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (16.7%)

Profiling