Details

analyze263.0ms (1.8%)

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)

sample46.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	132×	body	256	valid
8.0ms	283×	pre	128	true
6.0ms	41×	body	512	valid
4.0ms	83×	body	128	valid
1.0ms	27×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify364.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (269.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	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

54.0b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) c)
29.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite147.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

51.1b

Rules

20×	`add-sqr-sqrt_binary64_2146`
14×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `*-un-lft-identity_binary64_2124`
9×	`pow1_binary64_2185`
8×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159`
6×	`difference-of-squares_binary64_2093` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
4×	`cancel-sign-sub-inv_binary64_2090` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`flip3--_binary64_2128` `flip--_binary64_2099` `sqrt-prod_binary64_2140` `distribute-lft-out--_binary64_2076` `pow-prod-down_binary64_2195` `associate-r_binary64_2064`
2×	`diff-log_binary64_2216` `sub-neg_binary64_2117` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/l/_binary64_2071`
1×	`associate-l_binary64_2065` `-commutative_binary64_2055` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r_binary64_2068`

Counts

4 → 77

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series639.0ms (4.5%)

Error

0.2b

Counts

4 → 60

Calls

4 calls:

212.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
153.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
148.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
57.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5268	2923

prune162.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	129	8	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	8	138

Error

0.2b

Counts

138 → 8

Compiler

Compiled 3222 to 1789 computations (44.5% saved)

localize29.0ms (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 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))

rewrite608.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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

Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series816.0ms (5.7%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

288.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
226.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
126.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
113.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5093	3032

prune569.0ms (4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	207	9	216

Error

0.2b

Counts

216 → 9

Compiler

Compiled 10393 to 6464 computations (37.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 9/16 (/.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 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))

rewrite411.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

176×	`add-exp-log_binary64_2162`
94×	`prod-exp_binary64_2173`
51×	`div-exp_binary64_2175`
41×	`add-cbrt-cube_binary64_2160`
31×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
26×	`add-sqr-sqrt_binary64_2146` `times-frac_binary64_2130`
23×	`associate-r_binary64_2064`
21×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
19×	`unpow-prod-down_binary64_2203` `associate-/r*_binary64_2068`
16×	`cbrt-unprod_binary64_2157`
10×	`cube-prod_binary64_2152`
9×	`cbrt-undiv_binary64_2158`
7×	`sqr-pow_binary64_2096`
6×	`pow1_binary64_2185`
5×	`unswap-sqr_binary64_2092`
4×	`add-log-exp_binary64_2163` `associate-l_binary64_2065`
3×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `div-inv_binary64_2121`
2×	`-commutative_binary64_2055` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l_binary64_2069`
1×	`pow-prod-down_binary64_2195` `associate-*r/_binary64_2066`

Counts

4 → 180

Calls

4 calls:

13.0ms	(.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))
10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

Compiler

Compiled 6866 to 3866 computations (43.7% saved)

series926.0ms (6.5%)

Error

0.2b

Counts

4 → 33

Calls

4 calls:

293.0ms	(.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))
280.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
199.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
107.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3069 to 2293 computations (25.3% saved)

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5070	3479

prune598.0ms (4.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	213	9	222

Error

0.2b

Counts

222 → 9

Compiler

Compiled 7558 to 4285 computations (43.3% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.6b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite752.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

59×	`times-frac_binary64_2130`
46×	`pow1_binary64_2185`
44×	`add-exp-log_binary64_2162`
36×	`unpow-prod-down_binary64_2203`
33×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
26×	`add-cbrt-cube_binary64_2160`
18×	`pow-prod-down_binary64_2195` `sqr-pow_binary64_2096`
14×	`div-exp_binary64_2175`
13×	`prod-exp_binary64_2173`
12×	`pow-exp_binary64_2192`
11×	`associate-/l*_binary64_2069`
10×	`cbrt-unprod_binary64_2157` `associate-*r/_binary64_2066`
9×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152`
8×	`pow-to-exp_binary64_2193` `associate-/r*_binary64_2068`
7×	`associate-/l/_binary64_2071`
5×	`frac-sub_binary64_2133`
4×	`add-log-exp_binary64_2163` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097` `frac-add_binary64_2132`
3×	`pow-unpow_binary64_2201` `cbrt-undiv_binary64_2158`
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` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`pow2_binary64_2205` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `*-commutative_binary64_2055` `div-sub_binary64_2129` `flip3--_binary64_2128` `flip--_binary64_2099`

Counts

4 → 179

Calls

4 calls:

29.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
6.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 12142 to 7222 computations (40.5% saved)

series890.0ms (6.2%)

Error

0.2b

Counts

4 → 42

Calls

4 calls:

322.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
308.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
101.0ms	(pow.f64 (*.f64 a c) 3)
88.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4381 to 3234 computations (26.2% saved)

simplify111.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4949	5567
1	4949	5567

prune786.0ms (5.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	216	5	221
Fresh	1	5	6
Picked	1	0	1
Done	1	1	2
Total	219	11	230

Error

0.1b

Counts

230 → 11

Compiler

Compiled 12662 to 7696 computations (39.2% saved)

regimes1.4s (9.5%)

Accuracy

Total 1.3b remaining (89.7%)

Threshold costs 0b (0%)

Compiler

Compiled 23217 to 15986 computations (31.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample4.5s (31.6%)

Algorithm

1×

intervals

Results

373.0ms	3848×	body	256	valid
260.0ms	8817×	pre	128	true
207.0ms	1405×	body	512	valid
130.0ms	2747×	body	128	valid
40.0ms	817×	body	128	nan

Compiler

Compiled 4518 to 3112 computations (31.1% saved)

Details

analyze263.0ms (1.8%)

sample46.0ms (0.3%)

simplify364.0ms (2.5%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite147.0ms (1%)

series639.0ms (4.5%)

simplify57.0ms (0.4%)

prune162.0ms (1.1%)

localize29.0ms (0.2%)

rewrite608.0ms (4.3%)

series816.0ms (5.7%)

simplify86.0ms (0.6%)

prune569.0ms (4%)

localize20.0ms (0.1%)

rewrite411.0ms (2.9%)

series926.0ms (6.5%)

simplify87.0ms (0.6%)

prune598.0ms (4.2%)

localize30.0ms (0.2%)

rewrite752.0ms (5.3%)

series890.0ms (6.2%)

simplify111.0ms (0.8%)

prune786.0ms (5.5%)

regimes1.4s (9.5%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.5s (31.6%)

Profiling