Details

analyze490.0ms (4.2%)

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)

sample50.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	289×	pre	128	true
10.0ms	108×	body	256	valid
8.0ms	54×	body	512	valid
5.0ms	94×	body	128	valid
2.0ms	33×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify316.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (311.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune3.0ms (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

51.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
26.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite146.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

48.7b

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:

11.0ms	(/.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)

series707.0ms (6%)

Error

0.3b

Counts

4 → 72

Calls

4 calls:

213.0ms	(/.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))
142.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
105.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5207	3272

prune156.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	140	6	146
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	7	147

Error

0.1b

Counts

147 → 7

Compiler

Compiled 3338 to 1780 computations (46.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite563.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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×	`cube-prod_binary64_2152` `unswap-sqr_binary64_2092` `associate-l_binary64_2065`
8×	`cbrt-undiv_binary64_2158` `cbrt-unprod_binary64_2157`
7×	`associate-r_binary64_2064`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163`
3×	`frac-2neg_binary64_2135` `unpow3_binary64_2190` `cube-mult_binary64_2154` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l*_binary64_2069`
1×	`*-commutative_binary64_2055`

Counts

4 → 202

Calls

4 calls:

11.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
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)

series1.0s (8.6%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

336.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
281.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
221.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
123.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4059 to 2926 computations (27.9% saved)

simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5089	3808

prune540.0ms (4.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	235	7	242

Error

0.1b

Counts

242 → 7

Compiler

Compiled 10642 to 6291 computations (40.9% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
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))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite468.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

90×	`add-exp-log_binary64_2162`
46×	`pow1_binary64_2185`
45×	`prod-exp_binary64_2173`
36×	`pow-exp_binary64_2192`
35×	`pow-to-exp_binary64_2193`
30×	`div-exp_binary64_2175`
26×	`add-cbrt-cube_binary64_2160`
25×	`add-sqr-sqrt_binary64_2146`
19×	`unpow-prod-down_binary64_2203` `pow-prod-down_binary64_2195`
13×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`cbrt-unprod_binary64_2157` `sqr-pow_binary64_2096`
9×	`unswap-sqr_binary64_2092`
8×	`associate-l_binary64_2065` `associate-r_binary64_2064`
7×	`times-frac_binary64_2130` `associate-/r*_binary64_2068`
4×	`add-log-exp_binary64_2163` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
3×	`pow-unpow_binary64_2201`
2×	`pow-pow_binary64_2196` `rem-cube-cbrt_binary64_2147` `pow-plus_binary64_2187` `*-commutative_binary64_2055` `cbrt-undiv_binary64_2158`
1×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152` `pow2_binary64_2205` `swap-sqr_binary64_2091` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l*_binary64_2069`

Counts

4 → 155

Calls

4 calls:

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

Compiler

Compiled 8492 to 4963 computations (41.6% saved)

series669.0ms (5.7%)

Error

0.1b

Counts

4 → 27

Calls

4 calls:

321.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
122.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
92.0ms	(pow.f64 (*.f64 a c) 3)
83.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4005 to 2730 computations (31.8% saved)

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5071	1994

prune470.0ms (4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	182	7	189

Error

0.1b

Counts

189 → 7

Compiler

Compiled 9350 to 5382 computations (42.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
0.1b	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
0.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
26.3b	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

rewrite326.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

70×	`times-frac_binary64_2130`
60×	`*-un-lft-identity_binary64_2124`
46×	`add-sqr-sqrt_binary64_2146`
32×	`add-cube-cbrt_binary64_2159`
26×	`associate-/l*_binary64_2069`
18×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
14×	`difference-of-squares_binary64_2093` `distribute-lft-out_binary64_2075`
11×	`add-log-exp_binary64_2163`
7×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
6×	`associate-/r/_binary64_2070`
5×	`associate-/r*_binary64_2068`
4×	`pow1_binary64_2185` `div-inv_binary64_2121` `flip3-+_binary64_2127` `flip-+_binary64_2098`
3×	`diff-log_binary64_2216` `div-sub_binary64_2129` `associate-/l/_binary64_2071`
2×	`flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `cancel-sign-sub-inv_binary64_2090` `associate--l+_binary64_2061` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`associate--l-_binary64_2062` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 135

Calls

4 calls:

18.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
14.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
7.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))

Compiler

Compiled 6948 to 3195 computations (54% saved)

series762.0ms (6.5%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

260.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
223.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
127.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
90.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

Compiler

Compiled 4072 to 2773 computations (31.9% saved)

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	6129	6703

prune288.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	194	4	198
Fresh	3	0	3
Picked	1	0	1
Done	2	1	3
Total	200	5	205

Error

Counts

205 → 5

Compiler

Compiled 6822 to 3378 computations (50.5% saved)

regimes795.0ms (6.7%)

Accuracy

Total 0.4b remaining (98.3%)

Threshold costs 0.4b (98.3%)

Compiler

Compiled 13384 to 8822 computations (34.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	33
1	20	33

end0.0ms (0%)

sample3.6s (30.5%)

Algorithm

1×

intervals

Results

377.0ms	3787×	body	256	valid
270.0ms	8822×	pre	128	true
228.0ms	1528×	body	512	valid
139.0ms	2685×	body	128	valid
38.0ms	822×	body	128	nan

Compiler

Compiled 3388 to 2237 computations (34% saved)

Details

analyze490.0ms (4.2%)

sample50.0ms (0.4%)

simplify316.0ms (2.7%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite146.0ms (1.2%)

series707.0ms (6%)

simplify76.0ms (0.6%)

prune156.0ms (1.3%)

localize25.0ms (0.2%)

rewrite563.0ms (4.8%)

series1.0s (8.6%)

simplify94.0ms (0.8%)

prune540.0ms (4.6%)

localize27.0ms (0.2%)

rewrite468.0ms (4%)

series669.0ms (5.7%)

simplify70.0ms (0.6%)

prune470.0ms (4%)

localize12.0ms (0.1%)

rewrite326.0ms (2.8%)

series762.0ms (6.5%)

simplify111.0ms (0.9%)

prune288.0ms (2.4%)

regimes795.0ms (6.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.6s (30.5%)

Profiling