Details

analyze506.0ms (3.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
0	3	3
1	3	3

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

Symmetry

Compiler

Compiled 30 to 24 computations (20% saved)

sample42.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	101×	body	256	valid
8.0ms	277×	pre	128	true
8.0ms	155×	body	128	valid
1.0ms	21×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify296.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (290.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

44.8b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
39.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite147.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

41.7b

Rules

20×	`add-sqr-sqrt_binary64_2146`
14×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `*-un-lft-identity_binary64_2124`
9×	`pow1_binary64_2185`
8×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159`
6×	`difference-of-squares_binary64_2093` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
4×	`cancel-sign-sub-inv_binary64_2090` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`flip3--_binary64_2128` `flip--_binary64_2099` `sqrt-prod_binary64_2140` `distribute-lft-out--_binary64_2076` `pow-prod-down_binary64_2195` `associate-r_binary64_2064`
2×	`diff-log_binary64_2216` `sub-neg_binary64_2117` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/l/_binary64_2071`
1×	`frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r_binary64_2068` `associate-l_binary64_2065` `-commutative_binary64_2055`

Counts

4 → 77

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series650.0ms (4.3%)

Error

0.5b

Counts

4 → 60

Calls

4 calls:

217.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
160.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
148.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
57.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5268	2923

prune161.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	126	11	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	11	138

Error

0.4b

Counts

138 → 11

Compiler

Compiled 3273 to 1829 computations (44.1% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

rewrite644.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

166×	`add-exp-log_binary64_2162`
82×	`prod-exp_binary64_2173`
60×	`div-exp_binary64_2175`
50×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
41×	`add-sqr-sqrt_binary64_2146`
34×	`add-cbrt-cube_binary64_2160`
28×	`unpow-prod-down_binary64_2203`
26×	`times-frac_binary64_2130`
23×	`associate-r_binary64_2064`
22×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
15×	`associate-l_binary64_2065`
14×	`sqr-pow_binary64_2096` `associate-/r*_binary64_2068`
13×	`unswap-sqr_binary64_2092`
12×	`cbrt-unprod_binary64_2157`
9×	`cube-prod_binary64_2152`
8×	`cbrt-undiv_binary64_2158`
6×	`pow1_binary64_2185`
4×	`add-log-exp_binary64_2163`
3×	`div-inv_binary64_2121`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l_binary64_2069` `unpow3_binary64_2190` `cube-mult_binary64_2154` `-commutative_binary64_2055`
1×	`pow-prod-down_binary64_2195` `associate-*r/_binary64_2066`

Counts

4 → 199

Calls

4 calls:

14.0ms	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
13.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 10363 to 6513 computations (37.2% saved)

series1.1s (7.1%)

Error

0.4b

Counts

4 → 33

Calls

4 calls:

361.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
289.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
236.0ms	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
124.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4455 to 3322 computations (25.4% saved)

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5002	3850

prune791.0ms (5.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	230	2	232
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	230	13	243

Error

0.4b

Counts

243 → 13

Compiler

Compiled 11697 to 7368 computations (37% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite765.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

59×	`times-frac_binary64_2130`
46×	`pow1_binary64_2185`
44×	`add-exp-log_binary64_2162`
36×	`unpow-prod-down_binary64_2203`
33×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
26×	`add-cbrt-cube_binary64_2160`
18×	`pow-prod-down_binary64_2195` `sqr-pow_binary64_2096`
14×	`div-exp_binary64_2175`
13×	`prod-exp_binary64_2173`
12×	`pow-exp_binary64_2192`
11×	`associate-/l*_binary64_2069`
10×	`cbrt-unprod_binary64_2157` `associate-*r/_binary64_2066`
9×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152`
8×	`pow-to-exp_binary64_2193` `associate-/r*_binary64_2068`
7×	`associate-/l/_binary64_2071`
5×	`frac-sub_binary64_2133`
4×	`add-log-exp_binary64_2163` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097` `frac-add_binary64_2132`
3×	`pow-unpow_binary64_2201` `cbrt-undiv_binary64_2158`
2×	`pow-pow_binary64_2196` `rem-cube-cbrt_binary64_2147` `pow-plus_binary64_2187` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`pow2_binary64_2205` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `*-commutative_binary64_2055` `div-sub_binary64_2129` `flip3--_binary64_2128` `flip--_binary64_2099`

Counts

4 → 179

Calls

4 calls:

32.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
10.0ms	(.f64 (.f64 a c) (*.f64 a c))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 12142 to 7222 computations (40.5% saved)

series892.0ms (5.9%)

Error

0.4b

Counts

4 → 42

Calls

4 calls:

325.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
309.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
102.0ms	(pow.f64 (*.f64 a c) 3)
85.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4381 to 3234 computations (26.2% saved)

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4949	5567
1	4949	5567

prune861.0ms (5.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	214	7	221
Fresh	3	8	11
Picked	1	0	1
Done	0	1	1
Total	218	16	234

Error

0.3b

Counts

234 → 16

Compiler

Compiled 13572 to 8312 computations (38.8% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(pow.f64 (*.f64 a c) 2)
0.8b	(pow.f64 (*.f64 a c) 3)
1.0b	(pow.f64 (*.f64 a c) 4)

rewrite488.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

56×	`times-frac_binary64_2130`
38×	`unpow-prod-down_binary64_2203`
33×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124` `add-exp-log_binary64_2162`
20×	`sqr-pow_binary64_2096`
16×	`pow-exp_binary64_2192`
13×	`pow1_binary64_2185`
12×	`div-exp_binary64_2175`
10×	`pow-to-exp_binary64_2193`
9×	`pow-unpow_binary64_2201` `add-cbrt-cube_binary64_2160` `unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152`
8×	`associate-/l*_binary64_2069`
7×	`associate-/r*_binary64_2068`
6×	`pow-pow_binary64_2196` `prod-exp_binary64_2173`
4×	`add-log-exp_binary64_2163`
3×	`pow-prod-down_binary64_2195`
2×	`rem-cube-cbrt_binary64_2147`
1×	`cbrt-unprod_binary64_2157` `unpow2_binary64_2189` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`

Counts

4 → 151

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 8619 to 5166 computations (40.1% saved)

series671.0ms (4.4%)

Error

0.3b

Counts

4 → 27

Calls

4 calls:

316.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
111.0ms	(pow.f64 (*.f64 a c) 4)
101.0ms	(pow.f64 (*.f64 a c) 3)
81.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 4131 to 2922 computations (29.3% saved)

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5251	2662

prune489.0ms (3.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	14	14
Picked	0	1	1
Done	0	1	1
Total	178	16	194

Error

0.3b

Counts

194 → 16

Compiler

Compiled 9570 to 5714 computations (40.3% saved)

regimes1.4s (9.3%)

Accuracy

Total 2.7b remaining (89.1%)

Threshold costs 0b (0%)

Compiler

Compiled 25203 to 17197 computations (31.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

Removed

()

end0.0ms (0%)

sample4.9s (32.1%)

Algorithm

1×

intervals

Results

589.0ms	2884×	body	256	valid
268.0ms	5115×	body	128	valid
267.0ms	8849×	pre	128	true
43.0ms	849×	body	128	nan
0.0ms	1×	body	512	valid

Compiler

Compiled 4933 to 3369 computations (31.7% saved)

Details

analyze506.0ms (3.3%)

sample42.0ms (0.3%)

simplify296.0ms (1.9%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite147.0ms (1%)

series650.0ms (4.3%)

simplify55.0ms (0.4%)

prune161.0ms (1.1%)

localize29.0ms (0.2%)

rewrite644.0ms (4.2%)

series1.1s (7.1%)

simplify100.0ms (0.7%)

prune791.0ms (5.2%)

localize31.0ms (0.2%)

rewrite765.0ms (5%)

series892.0ms (5.9%)

simplify112.0ms (0.7%)

prune861.0ms (5.6%)

localize32.0ms (0.2%)

rewrite488.0ms (3.2%)

series671.0ms (4.4%)

simplify71.0ms (0.5%)

prune489.0ms (3.2%)

regimes1.4s (9.3%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.9s (32.1%)

Profiling