Details

analyze259.0ms (2%)

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)

sample35.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	247×	body	128	valid
8.0ms	279×	pre	128	true
1.0ms	23×	body	128	nan
1.0ms	9×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify403.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (307.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	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

30.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
30.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite148.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

27.8b

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))
8.0ms	(-.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)

series712.0ms (5.6%)

Error

1.0b

Counts

4 → 72

Calls

4 calls:

209.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
169.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
155.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
101.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5207	3272

prune174.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	134	12	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	12	147

Error

0.6b

Counts

147 → 12

Compiler

Compiled 3551 to 1925 computations (45.8% saved)

localize28.0ms (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 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

rewrite637.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

155×	`add-exp-log_binary64_2162`
72×	`prod-exp_binary64_2173`
60×	`div-exp_binary64_2175`
50×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
40×	`add-sqr-sqrt_binary64_2146`
31×	`unpow-prod-down_binary64_2203`
29×	`add-cbrt-cube_binary64_2160`
26×	`times-frac_binary64_2130` `associate-/r*_binary64_2068`
23×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
15×	`sqr-pow_binary64_2096`
12×	`unswap-sqr_binary64_2092` `cube-prod_binary64_2152` `associate-l_binary64_2065`
8×	`cbrt-unprod_binary64_2157` `cbrt-undiv_binary64_2158`
7×	`associate-r_binary64_2064`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163`
3×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l*_binary64_2069`
1×	`*-commutative_binary64_2055`

Counts

4 → 202

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
10.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
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))

Compiler

Compiled 9636 to 5744 computations (40.4% saved)

series983.0ms (7.8%)

Error

0.6b

Counts

4 → 33

Calls

4 calls:

325.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
277.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
204.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
118.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4059 to 2926 computations (27.9% saved)

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5089	3808

prune618.0ms (4.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	233	2	235
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	233	14	247

Error

0.6b

Counts

247 → 14

Compiler

Compiled 10941 to 6503 computations (40.6% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite492.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

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:

12.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
8.0ms	(/.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)

series817.0ms (6.5%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

329.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
242.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
101.0ms	(pow.f64 (*.f64 a c) 3)
84.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4446 to 3135 computations (29.5% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4971	2399
1	4971	2399

prune764.0ms (6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	194	4	198
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	195	17	212

Error

0.6b

Counts

212 → 17

Compiler

Compiled 10505 to 6294 computations (40.1% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)
26.8b	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))

rewrite384.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

50×	`pow1_binary64_2185`
40×	`log-pow_binary64_2213`
39×	`exp-prod_binary64_2176`
35×	`times-frac_binary64_2130`
25×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
24×	`unpow-prod-down_binary64_2203`
22×	`add-exp-log_binary64_2162`
19×	`add-cbrt-cube_binary64_2160` `pow-prod-down_binary64_2195`
14×	`sqr-pow_binary64_2096`
10×	`prod-exp_binary64_2173`
9×	`cbrt-unprod_binary64_2157`
6×	`pow-unpow_binary64_2201`
4×	`add-log-exp_binary64_2163` `pow-pow_binary64_2196` `pow-exp_binary64_2192` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
3×	`log-prod_binary64_2210`
2×	`pow-to-exp_binary64_2193` `rem-cube-cbrt_binary64_2147` `pow-plus_binary64_2187`
1×	`div-inv_binary64_2121` `rem-log-exp_binary64_2165` `unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152` `pow2_binary64_2205` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

4 → 124

Calls

4 calls:

10.0ms	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 7051 to 4027 computations (42.9% saved)

series1.1s (8.6%)

Error

0.6b

Counts

4 → 29

Calls

4 calls:

770.0ms	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))
93.0ms	(pow.f64 (*.f64 a c) 4)
90.0ms	(pow.f64 (*.f64 a c) 3)
85.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4227 to 2856 computations (32.4% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5459	1565

prune398.0ms (3.1%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	14	14
Picked	0	1	1
Done	0	2	2
Total	152	18	170

Error

0.6b

Counts

170 → 18

Compiler

Compiled 8024 to 4586 computations (42.8% saved)

regimes875.0ms (6.9%)

Accuracy

Total 4.3b remaining (86.9%)

Threshold costs 0b (0%)

Compiler

Compiled 12744 to 9038 computations (29.1% saved)

bsearch6.0ms (0%)

Steps

Iters	Range		Point
0	0.05650750258503892	0.058179866330805005	0.05734368445792196

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	149	112
1	149	112

end0.0ms (0%)

sample3.4s (27.1%)

Algorithm

1×

intervals

Results

374.0ms	7699×	body	128	valid
269.0ms	8804×	pre	128	true
35.0ms	804×	body	128	nan
31.0ms	301×	body	256	valid

Compiler

Compiled 3281 to 2324 computations (29.2% saved)

Details

analyze259.0ms (2%)

sample35.0ms (0.3%)

simplify403.0ms (3.2%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite148.0ms (1.2%)

series712.0ms (5.6%)

simplify74.0ms (0.6%)

prune174.0ms (1.4%)

localize28.0ms (0.2%)

rewrite637.0ms (5%)

series983.0ms (7.8%)

simplify96.0ms (0.8%)

prune618.0ms (4.9%)

localize31.0ms (0.2%)

rewrite492.0ms (3.9%)

series817.0ms (6.5%)

simplify81.0ms (0.6%)

prune764.0ms (6%)

localize30.0ms (0.2%)

rewrite384.0ms (3%)

series1.1s (8.6%)

simplify69.0ms (0.5%)

prune398.0ms (3.1%)

regimes875.0ms (6.9%)

bsearch6.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.4s (27.1%)

Profiling