Details

analyze479.0ms (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)

sample37.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	249×	body	128	valid
8.0ms	281×	pre	128	true
1.0ms	25×	body	128	nan
1.0ms	7×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify311.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (305.0ms)

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

27.3b

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 (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)

rewrite145.0ms (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:

16.0ms	(/.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)

series665.0ms (5.5%)

Error

1.0b

Counts

4 → 72

Calls

4 calls:

200.0ms	(/.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))
139.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
98.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5207	3272

prune193.0ms (1.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	133	13	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	13	147

Error

0.8b

Counts

147 → 13

Compiler

Compiled 3508 to 1909 computations (45.6% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite494.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

109×	`add-exp-log_binary64_2162`
54×	`prod-exp_binary64_2173`
42×	`add-sqr-sqrt_binary64_2146`
30×	`div-exp_binary64_2175`
29×	`add-cbrt-cube_binary64_2160` `unpow-prod-down_binary64_2203`
24×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
22×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
19×	`associate-r_binary64_2064` `times-frac_binary64_2130` `associate-/r*_binary64_2068`
16×	`unswap-sqr_binary64_2092` `cube-prod_binary64_2152`
15×	`sqr-pow_binary64_2096`
13×	`associate-l_binary64_2065`
10×	`cbrt-unprod_binary64_2157`
6×	`cbrt-undiv_binary64_2158`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `unpow3_binary64_2190` `cube-mult_binary64_2154`
2×	`-commutative_binary64_2055` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l_binary64_2069`

Counts

4 → 178

Calls

4 calls:

10.0ms	(/.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 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 8517 to 5058 computations (40.6% saved)

series768.0ms (6.4%)

Error

0.8b

Counts

4 → 30

Calls

4 calls:

277.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
206.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
130.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
101.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2692 computations (27% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5093	3032

prune463.0ms (3.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	207	14	221

Error

0.8b

Counts

221 → 14

Compiler

Compiled 9663 to 5709 computations (40.9% 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 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite634.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

88×	`add-exp-log_binary64_2162`
68×	`times-frac_binary64_2130`
46×	`pow1_binary64_2185`
42×	`unpow-prod-down_binary64_2203`
39×	`add-cbrt-cube_binary64_2160`
37×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
36×	`prod-exp_binary64_2173`
27×	`div-exp_binary64_2175`
20×	`sqr-pow_binary64_2096`
19×	`associate-/r*_binary64_2068`
18×	`pow-prod-down_binary64_2195`
17×	`pow-exp_binary64_2192` `cbrt-unprod_binary64_2157`
15×	`cube-prod_binary64_2152`
13×	`pow-to-exp_binary64_2193`
11×	`unpow3_binary64_2190` `cube-mult_binary64_2154`
9×	`associate-/l*_binary64_2069`
6×	`cbrt-undiv_binary64_2158`
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` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`
1×	`pow2_binary64_2205` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

4 → 205

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 11659 to 6685 computations (42.7% saved)

series782.0ms (6.5%)

Error

0.8b

Counts

4 → 30

Calls

4 calls:

313.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
231.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
91.0ms	(pow.f64 (*.f64 a c) 3)
83.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4500 to 3216 computations (28.5% saved)

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5132	3471

prune680.0ms (5.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	234	15	249

Error

0.8b

Counts

249 → 15

Compiler

Compiled 12717 to 7652 computations (39.8% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
38.8b	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))

rewrite492.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

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

Counts

4 → 159

Calls

4 calls:

13.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
6.0ms	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))

Compiler

Compiled 7974 to 4882 computations (38.8% saved)

series953.0ms (7.9%)

Error

0.8b

Counts

4 → 30

Calls

4 calls:

416.0ms	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))
274.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
115.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
94.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3846 to 2848 computations (25.9% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5020	2712

prune471.0ms (3.9%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	0	12	12
Picked	0	1	1
Done	0	2	2
Total	188	16	204

Error

0.8b

Counts

204 → 16

Compiler

Compiled 8798 to 5294 computations (39.8% saved)

regimes877.0ms (7.3%)

Accuracy

Total 4.5b remaining (87.4%)

Threshold costs 0b (0%)

Compiler

Compiled 11104 to 7974 computations (28.2% saved)

bsearch22.0ms (0.2%)

Steps

Iters	Range		Point
2	0.4318172524819056	0.48273661187176414	0.46364185210056713

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	263	114
1	263	114

end0.0ms (0%)

sample3.2s (26.4%)

Algorithm

1×

intervals

Results

399.0ms	7709×	body	128	valid
265.0ms	8849×	pre	128	true
39.0ms	849×	body	128	nan
28.0ms	291×	body	256	valid

Compiler

Compiled 2872 to 2061 computations (28.2% saved)

Details

analyze479.0ms (4%)

sample37.0ms (0.3%)

simplify311.0ms (2.6%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite145.0ms (1.2%)

series665.0ms (5.5%)

simplify73.0ms (0.6%)

prune193.0ms (1.6%)

localize29.0ms (0.2%)

rewrite494.0ms (4.1%)

series768.0ms (6.4%)

simplify85.0ms (0.7%)

prune463.0ms (3.8%)

localize29.0ms (0.2%)

rewrite634.0ms (5.2%)

series782.0ms (6.5%)

simplify87.0ms (0.7%)

prune680.0ms (5.6%)

localize30.0ms (0.3%)

rewrite492.0ms (4.1%)

series953.0ms (7.9%)

simplify75.0ms (0.6%)

prune471.0ms (3.9%)

regimes877.0ms (7.3%)

bsearch22.0ms (0.2%)

simplify6.0ms (0%)

end0.0ms (0%)

sample3.2s (26.4%)

Profiling