Details

analyze482.0ms (4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	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

Compiler

Compiled 30 to 24 computations (20% saved)

sample36.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	248×	body	128	valid
8.0ms	280×	pre	128	true
1.0ms	24×	body	128	nan
1.0ms	8×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify313.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (308.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune6.0ms (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

27.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
27.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite139.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

25.2b

Rules

21×	`add-sqr-sqrt_binary64_2146`
14×	`*-un-lft-identity_binary64_2124`
9×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159`
6×	`difference-of-squares_binary64_2093` `sqrt-prod_binary64_2140` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
5×	`pow1_binary64_2185`
4×	`flip3--_binary64_2128` `flip--_binary64_2099` `cancel-sign-sub-inv_binary64_2090`
3×	`distribute-lft-out--_binary64_2076`
2×	`diff-log_binary64_2216` `sub-neg_binary64_2117` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/l/_binary64_2071` `sqrt-div_binary64_2141`
1×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r*_binary64_2068` `pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series657.0ms (5.5%)

Error

1.1b

Counts

4 → 72

Calls

4 calls:

201.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
144.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
141.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
102.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5207	3272

prune163.0ms (1.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	135	11	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	11	147

Error

0.8b

Counts

147 → 11

Compiler

Compiled 3485 to 1888 computations (45.8% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite532.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

112×	`add-exp-log_binary64_2162`
54×	`prod-exp_binary64_2173`
42×	`add-sqr-sqrt_binary64_2146`
39×	`pow-to-exp_binary64_2193` `div-exp_binary64_2175` `pow-exp_binary64_2192`
29×	`unpow-prod-down_binary64_2203`
25×	`add-cbrt-cube_binary64_2160`
22×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
19×	`times-frac_binary64_2130` `associate-/r_binary64_2068` `associate-r*_binary64_2064`
16×	`unswap-sqr_binary64_2092` `cube-prod_binary64_2152`
15×	`sqr-pow_binary64_2096`
13×	`associate-l_binary64_2065`
8×	`cbrt-unprod_binary64_2157`
5×	`cbrt-undiv_binary64_2158`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `unpow3_binary64_2190` `cube-mult_binary64_2154`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l_binary64_2069` `-commutative_binary64_2055`

Counts

4 → 186

Calls

4 calls:

9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 8847 to 5281 computations (40.3% saved)

series775.0ms (6.4%)

Error

0.8b

Counts

4 → 30

Calls

4 calls:

319.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
206.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
105.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
95.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2656 computations (28% saved)

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4996	3175
1	4996	3175

prune568.0ms (4.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	214	2	216
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	215	12	227

Error

0.7b

Counts

227 → 12

Compiler

Compiled 10022 to 5929 computations (40.8% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite477.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

127×	`add-exp-log_binary64_2162`
60×	`prod-exp_binary64_2173`
46×	`pow1_binary64_2185`
45×	`div-exp_binary64_2175`
42×	`add-cbrt-cube_binary64_2160`
35×	`pow-exp_binary64_2192`
34×	`pow-to-exp_binary64_2193`
19×	`times-frac_binary64_2130` `associate-/r*_binary64_2068`
18×	`pow-prod-down_binary64_2195` `cbrt-unprod_binary64_2157`
15×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
13×	`unpow-prod-down_binary64_2203`
7×	`cube-prod_binary64_2152` `cbrt-undiv_binary64_2158`
5×	`sqr-pow_binary64_2096`
4×	`add-log-exp_binary64_2163` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
3×	`pow-unpow_binary64_2201` `unpow3_binary64_2190` `cube-mult_binary64_2154`
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` `associate-/l*_binary64_2069`
1×	`pow2_binary64_2205` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

4 → 168

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9233 to 5284 computations (42.8% saved)

series786.0ms (6.5%)

Error

0.7b

Counts

4 → 30

Calls

4 calls:

319.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
229.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
99.0ms	(pow.f64 (*.f64 a c) 3)
79.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4446 to 3135 computations (29.5% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4971	2399
1	4971	2399

prune562.0ms (4.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	196	2	198
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	196	14	210

Error

0.7b

Counts

210 → 14

Compiler

Compiled 10378 to 6216 computations (40.1% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
31.7b	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

rewrite495.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

88×	`add-exp-log_binary64_2162`
45×	`prod-exp_binary64_2173`
40×	`add-sqr-sqrt_binary64_2146`
36×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
30×	`div-exp_binary64_2175`
26×	`unpow-prod-down_binary64_2203`
20×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
19×	`associate-r_binary64_2064`
16×	`add-cbrt-cube_binary64_2160` `unswap-sqr_binary64_2092`
14×	`times-frac_binary64_2130` `sqr-pow_binary64_2096`
13×	`associate-l_binary64_2065`
12×	`log-pow_binary64_2213`
11×	`exp-prod_binary64_2176`
10×	`cube-prod_binary64_2152`
7×	`associate-/r*_binary64_2068`
5×	`pow1_binary64_2185` `cbrt-unprod_binary64_2157`
4×	`add-log-exp_binary64_2163`
3×	`log-prod_binary64_2210`
2×	`div-inv_binary64_2121` `cbrt-undiv_binary64_2158` `unpow3_binary64_2190` `cube-mult_binary64_2154` `*-commutative_binary64_2055`
1×	`rem-log-exp_binary64_2165` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l*_binary64_2069`

Counts

4 → 162

Calls

4 calls:

9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
5.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

Compiler

Compiled 8104 to 5025 computations (38% saved)

series1.4s (11.5%)

Error

0.7b

Counts

4 → 32

Calls

4 calls:

748.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
342.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
126.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
108.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3970 to 2849 computations (28.2% saved)

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4995	2948
1	4995	2948

prune483.0ms (4%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	194	14	208

Error

0.7b

Counts

208 → 14

Compiler

Compiled 9025 to 5478 computations (39.3% saved)

regimes745.0ms (6.2%)

Accuracy

Total 4.4b remaining (86.5%)

Threshold costs 0b (0%)

Compiler

Compiled 10108 to 7254 computations (28.2% saved)

bsearch24.0ms (0.2%)

Steps

Iters	Range		Point
3	0.5711947709192625	0.7626040642915599	0.7027886601127169

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	263	114
1	263	114

end0.0ms (0%)

sample3.0s (25%)

Algorithm

1×

intervals

Results

398.0ms	7708×	body	128	valid
258.0ms	8835×	pre	128	true
41.0ms	835×	body	128	nan
27.0ms	292×	body	256	valid

Compiler

Compiled 2623 to 1881 computations (28.3% saved)

Details

analyze482.0ms (4%)

sample36.0ms (0.3%)

simplify313.0ms (2.6%)

prune6.0ms (0%)

localize11.0ms (0.1%)

rewrite139.0ms (1.2%)

series657.0ms (5.5%)

simplify77.0ms (0.6%)

prune163.0ms (1.4%)

localize27.0ms (0.2%)

rewrite532.0ms (4.4%)

series775.0ms (6.4%)

simplify87.0ms (0.7%)

prune568.0ms (4.7%)

localize29.0ms (0.2%)

rewrite477.0ms (4%)

series786.0ms (6.5%)

simplify78.0ms (0.6%)

prune562.0ms (4.7%)

localize30.0ms (0.2%)

rewrite495.0ms (4.1%)

series1.4s (11.5%)

simplify61.0ms (0.5%)

prune483.0ms (4%)

regimes745.0ms (6.2%)

bsearch24.0ms (0.2%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.0s (25%)

Profiling