Details

analyze528.0ms (2.8%)

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)

sample40.0ms (0.2%)

Algorithm

1×

intervals

Results

14.0ms	247×	body	128	valid
8.0ms	288×	pre	128	true
1.0ms	32×	body	128	nan
1.0ms	9×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify304.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (298.0ms)

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

29.5b

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))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
29.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite172.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

27.2b

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:

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 1900 to 1105 computations (41.8% saved)

series963.0ms (5.1%)

Error

0.8b

Counts

4 → 72

Calls

4 calls:

308.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
235.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
233.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
151.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2358 to 1932 computations (18.1% saved)

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5207	3272

prune150.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	135	11	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	11	147

Error

0.6b

Counts

147 → 11

Compiler

Compiled 2187 to 1244 computations (43.1% saved)

localize27.0ms (0.1%)

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

rewrite606.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

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×	`times-frac_binary64_2130` `associate-/r_binary64_2068` `associate-r*_binary64_2064`
16×	`cube-prod_binary64_2152` `unswap-sqr_binary64_2092`
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×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l_binary64_2069` `-commutative_binary64_2055`

Counts

4 → 178

Calls

4 calls:

11.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
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))
8.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 6755 to 4045 computations (40.1% saved)

series1.1s (5.8%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

440.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
316.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
174.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
150.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2583 to 1992 computations (22.9% saved)

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5093	3032

prune347.0ms (1.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	207	12	219

Error

0.6b

Counts

219 → 12

Compiler

Compiled 4682 to 2812 computations (39.9% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite788.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

98×	`add-exp-log_binary64_2162`
63×	`times-frac_binary64_2130`
46×	`pow1_binary64_2185`
42×	`unpow-prod-down_binary64_2203` `div-exp_binary64_2175`
40×	`pow-exp_binary64_2192`
39×	`prod-exp_binary64_2173`
36×	`pow-to-exp_binary64_2193`
35×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
26×	`add-cbrt-cube_binary64_2160`
20×	`sqr-pow_binary64_2096`
18×	`pow-prod-down_binary64_2195`
14×	`associate-/r*_binary64_2068`
10×	`cbrt-unprod_binary64_2157`
9×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152` `associate-/l*_binary64_2069`
4×	`add-log-exp_binary64_2163` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
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`
1×	`pow2_binary64_2205` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

4 → 207

Calls

4 calls:

9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
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 9003 to 5208 computations (42.2% saved)

series1.3s (6.9%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

538.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
491.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
137.0ms	(pow.f64 (*.f64 a c) 3)
117.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3149 to 2276 computations (27.7% saved)

simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4965	3551
1	4965	3551

prune475.0ms (2.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	235	2	237
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	235	14	249

Error

0.6b

Counts

249 → 14

Compiler

Compiled 6291 to 3711 computations (41% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.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)
35.1b	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))))

rewrite1.0s (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

112×	`times-frac_binary64_2130`
67×	`unpow-prod-down_binary64_2203`
61×	`log-pow_binary64_2213`
60×	`exp-prod_binary64_2176`
56×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
47×	`pow1_binary64_2185`
39×	`add-exp-log_binary64_2162`
33×	`sqr-pow_binary64_2096`
21×	`add-cbrt-cube_binary64_2160`
18×	`pow-prod-down_binary64_2195`
16×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152`
12×	`prod-exp_binary64_2173` `pow-exp_binary64_2192` `div-exp_binary64_2175`
9×	`cbrt-unprod_binary64_2157`
8×	`pow-to-exp_binary64_2193` `associate-/l*_binary64_2069`
7×	`associate-/r*_binary64_2068`
4×	`add-log-exp_binary64_2163` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
3×	`log-prod_binary64_2210` `pow-unpow_binary64_2201`
2×	`div-inv_binary64_2121` `pow-pow_binary64_2196` `rem-cube-cbrt_binary64_2147` `pow-plus_binary64_2187`
1×	`rem-log-exp_binary64_2165` `pow2_binary64_2205` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `*-commutative_binary64_2055` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123`

Counts

4 → 222

Calls

4 calls:

14.0ms	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))))
9.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
8.0ms	(.f64 (.f64 a c) (*.f64 a c))
5.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 11198 to 6613 computations (40.9% saved)

series1.7s (8.9%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

927.0ms	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))))
486.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
129.0ms	(pow.f64 (*.f64 a c) 3)
118.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3295 to 2441 computations (25.9% saved)

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

252 → 252

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5359	3639

prune652.0ms (3.5%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	250	2	252
Fresh	0	11	11
Picked	1	0	1
Done	0	2	2
Total	251	15	266

Error

0.6b

Counts

266 → 15

Compiler

Compiled 8102 to 4797 computations (40.8% saved)

regimes6.5s (34.5%)

Accuracy

Total 4.4b remaining (86.1%)

Threshold costs 0b (0%)

Compiler

Compiled 84034 to 60320 computations (28.2% saved)

bsearch78.0ms (0.4%)

Steps

Iters	Range		Point
3	0.004824718928141848	0.00653322126695128	0.00642643987077569

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	155	118
1	155	118

end4.0ms (0%)

Compiler: Compiled 78 to 52 computations (33.3% saved)

sample1.7s (8.9%)

Algorithm

1×

intervals

Results

391.0ms	7710×	body	128	valid
266.0ms	8854×	pre	128	true
38.0ms	854×	body	128	nan
30.0ms	290×	body	256	valid

Compiler

Compiled 705 to 514 computations (27.1% saved)

Details

analyze528.0ms (2.8%)

sample40.0ms (0.2%)

simplify304.0ms (1.6%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite172.0ms (0.9%)

series963.0ms (5.1%)

simplify75.0ms (0.4%)

prune150.0ms (0.8%)

localize27.0ms (0.1%)

rewrite606.0ms (3.2%)

series1.1s (5.8%)

simplify88.0ms (0.5%)

prune347.0ms (1.8%)

localize32.0ms (0.2%)

rewrite788.0ms (4.2%)

series1.3s (6.9%)

simplify90.0ms (0.5%)

prune475.0ms (2.5%)

localize36.0ms (0.2%)

rewrite1.0s (5.3%)

series1.7s (8.9%)

simplify92.0ms (0.5%)

prune652.0ms (3.5%)

regimes6.5s (34.5%)

bsearch78.0ms (0.4%)

simplify4.0ms (0%)

end4.0ms (0%)

sample1.7s (8.9%)

Profiling