Details

analyze271.0ms (2.1%)

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)

sample37.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	248×	body	128	valid
8.0ms	281×	pre	128	true
1.0ms	25×	body	128	nan
1.0ms	8×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify405.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (311.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune8.0ms (0.1%)

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

29.8b

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)))
0.2b	(-.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))
29.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite138.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

27.4b

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)

series676.0ms (5.3%)

Error

1.0b

Counts

4 → 72

Calls

4 calls:

203.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
153.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
144.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
100.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5207	3272

prune167.0ms (1.3%)

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

0.7b

Counts

147 → 12

Compiler

Compiled 3529 to 1911 computations (45.8% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite599.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

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` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l*_binary64_2069` `unpow3_binary64_2190` `cube-mult_binary64_2154`
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))
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))
8.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

Compiler

Compiled 9636 to 5744 computations (40.4% saved)

series985.0ms (7.8%)

Error

0.7b

Counts

4 → 33

Calls

4 calls:

331.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
295.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
192.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
109.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4059 to 2926 computations (27.9% saved)

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5089	3808

prune613.0ms (4.8%)

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

0.7b

Counts

247 → 14

Compiler

Compiled 10919 to 6488 computations (40.6% saved)

localize29.0ms (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)

rewrite474.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

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)

series667.0ms (5.3%)

Error

0.7b

Counts

4 → 27

Calls

4 calls:

319.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
114.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
93.0ms	(pow.f64 (*.f64 a c) 3)
91.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4005 to 2730 computations (31.8% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5071	1994

prune496.0ms (3.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	182	14	196

Error

0.7b

Counts

196 → 14

Compiler

Compiled 9627 to 5579 computations (42% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
26.9b	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

rewrite545.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

143×	`add-exp-log_binary64_2162`
63×	`prod-exp_binary64_2173`
60×	`div-exp_binary64_2175`
44×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
33×	`times-frac_binary64_2130`
27×	`add-cbrt-cube_binary64_2160`
26×	`associate-/r*_binary64_2068`
22×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
21×	`unpow-prod-down_binary64_2203`
12×	`log-pow_binary64_2213`
11×	`exp-prod_binary64_2176`
8×	`cbrt-undiv_binary64_2158`
7×	`sqr-pow_binary64_2096` `cbrt-unprod_binary64_2157`
6×	`cube-prod_binary64_2152`
5×	`pow1_binary64_2185`
4×	`div-inv_binary64_2121` `add-log-exp_binary64_2163`
3×	`log-prod_binary64_2210` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l*_binary64_2069`
2×	`unpow3_binary64_2190` `cube-mult_binary64_2154`
1×	`rem-log-exp_binary64_2165`

Counts

4 → 176

Calls

4 calls:

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

Compiler

Compiled 8775 to 5384 computations (38.6% saved)

series1.7s (13%)

Error

0.7b

Counts

4 → 38

Calls

4 calls:

766.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
309.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
297.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
211.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

Compiler

Compiled 4744 to 3458 computations (27.1% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5126	3610

prune588.0ms (4.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	0	11	11
Picked	1	0	1
Done	0	2	2
Total	213	15	228

Error

0.7b

Counts

228 → 15

Compiler

Compiled 9831 to 6019 computations (38.8% saved)

regimes894.0ms (7%)

Accuracy

Total 5.3b remaining (88.6%)

Threshold costs 0b (0%)

Compiler

Compiled 9976 to 7230 computations (27.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	61
1	86	61

end0.0ms (0%)

sample3.0s (23.8%)

Algorithm

1×

intervals

Results

394.0ms	7700×	body	128	valid
270.0ms	8879×	pre	128	true
40.0ms	879×	body	128	nan
33.0ms	300×	body	256	valid

Compiler

Compiled 2555 to 1854 computations (27.4% saved)

Details

analyze271.0ms (2.1%)

sample37.0ms (0.3%)

simplify405.0ms (3.2%)

prune8.0ms (0.1%)

localize11.0ms (0.1%)

rewrite138.0ms (1.1%)

series676.0ms (5.3%)

simplify80.0ms (0.6%)

prune167.0ms (1.3%)

localize26.0ms (0.2%)

rewrite599.0ms (4.7%)

series985.0ms (7.8%)

simplify101.0ms (0.8%)

prune613.0ms (4.8%)

localize29.0ms (0.2%)

rewrite474.0ms (3.7%)

series667.0ms (5.3%)

simplify75.0ms (0.6%)

prune496.0ms (3.9%)

localize32.0ms (0.2%)

rewrite545.0ms (4.3%)

series1.7s (13%)

simplify90.0ms (0.7%)

prune588.0ms (4.6%)

regimes894.0ms (7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.0s (23.8%)

Profiling