Details

analyze2.6s (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6111	1421
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 34 to 27 computations (20.6% saved)

sample61.0ms (0.1%)

Algorithm

1×

intervals

Results

32.0ms	256×	body	128	valid
1.0ms	7×	body	128	invalid

Compiler

Compiled 67 to 61 computations (9% saved)

simplify338.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (327.0ms)

Iter	Nodes	Cost
0	4835	49
1	4835	49

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

30.7b

Counts

2 → 1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
30.1b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite293.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

30.6b

Rules

24×	`add-sqr-sqrt_binary64_2146`
18×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
12×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`pow1_binary64_2185`
9×	`times-frac_binary64_2130` `associate-l_binary64_2065` `associate-r_binary64_2064`
6×	`associate-*l/_binary64_2067`
5×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
4×	`add-log-exp_binary64_2163`
3×	`associate-/l_binary64_2069` `associate-/r_binary64_2068` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`
2×	`associate-/l/_binary64_2071` `associate-/r/_binary64_2070`
1×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`

Counts

4 → 91

Calls

4 calls:

34.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
13.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
13.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
12.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)

Compiler

Compiled 4579 to 1326 computations (71% saved)

series10.9s (17.9%)

Error

9.8b

Counts

4 → 126

Calls

4 calls:

9.4s	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
416.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
282.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
242.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)

Compiler

Compiled 31489 to 21373 computations (32.1% saved)

simplify178.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5198	15086

prune939.0ms (1.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	202	15	217
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	203	15	218

Error

9.8b

Counts

218 → 15

Compiler

Compiled 14775 to 5849 computations (60.4% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

19.1b	(cbrt.f64 (+.f64 b (*.f64 y (+.f64 y a))))
19.1b	(cbrt.f64 (+.f64 (*.f64 (+.f64 y a) y) b))
19.1b	(cbrt.f64 (+.f64 (*.f64 (+.f64 y a) y) b))
30.1b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 y a) y) b)) (cbrt.f64 (+.f64 (.f64 (+.f64 y a) y) b))) (.f64 y (cbrt.f64 (+.f64 b (*.f64 y (+.f64 y a)))))) c) y) i))

rewrite243.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

9.8b

Rules

15×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`times-frac_binary64_2130` `cbrt-prod_binary64_2155`
6×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `cbrt-div_binary64_2156`
5×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163`
3×	`associate-/l_binary64_2069` `associate-/r_binary64_2068` `pow1/3_binary64_2206`
2×	`associate-/l/_binary64_2071` `associate-/r/_binary64_2070`
1×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`

Counts

4 → 70

Calls

4 calls:

55.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 y a) y) b)) (cbrt.f64 (+.f64 (.f64 (+.f64 y a) y) b))) (.f64 y (cbrt.f64 (+.f64 b (*.f64 y (+.f64 y a)))))) c) y) i))
6.0ms	(cbrt.f64 (+.f64 (*.f64 (+.f64 y a) y) b))
6.0ms	(cbrt.f64 (+.f64 (*.f64 (+.f64 y a) y) b))
3.0ms	(cbrt.f64 (+.f64 b (*.f64 y (+.f64 y a))))

Compiler

Compiled 5420 to 1168 computations (78.5% saved)

series11.1s (18.1%)

Error

9.8b

Counts

4 → 111

Calls

4 calls:

9.3s	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 y a) y) b)) (cbrt.f64 (+.f64 (.f64 (+.f64 y a) y) b))) (.f64 y (cbrt.f64 (+.f64 b (*.f64 y (+.f64 y a)))))) c) y) i))
369.0ms	(cbrt.f64 (+.f64 b (*.f64 y (+.f64 y a))))
366.0ms	(cbrt.f64 (+.f64 (*.f64 (+.f64 y a) y) b))
362.0ms	(cbrt.f64 (+.f64 (*.f64 (+.f64 y a) y) b))

Compiler

Compiled 36124 to 24034 computations (33.5% saved)

simplify188.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5013	16319

prune777.0ms (1.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	1	13	14
Picked	0	1	1
Done	0	0	0
Total	181	15	196

Error

9.8b

Counts

196 → 15

Compiler

Compiled 16683 to 6011 computations (64% saved)

localize25.0ms (0%)

Local error

Found 4 expressions with local error:

6.1b	(+.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 z (.f64 y y)) (.f64 y 471841060772561/17179869184)))
6.6b	(.f64 z (.f64 y y))
7.5b	(*.f64 (pow.f64 y 3) x)
30.1b	(/.f64 (+.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 z (.f64 y y)) (.f64 y 471841060772561/17179869184))) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite262.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

9.8b

Rules

25×	`add-sqr-sqrt_binary64_2146`
17×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
16×	`add-exp-log_binary64_2162`
15×	`associate-l_binary64_2065`
13×	`add-cbrt-cube_binary64_2160`
9×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `times-frac_binary64_2130`
6×	`prod-exp_binary64_2173`
5×	`unswap-sqr_binary64_2092`
4×	`cbrt-unprod_binary64_2157` `unpow-prod-down_binary64_2203` `cube-prod_binary64_2152` `associate-r_binary64_2064`
3×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-/l_binary64_2069` `associate-/r_binary64_2068` `pow-prod-down_binary64_2195` `sum-log_binary64_2215`
2×	`associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `sqr-pow_binary64_2096` `*-commutative_binary64_2055`
1×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow3_binary64_2190` `cube-mult_binary64_2154` `associate-+r+_binary64_2056` `+-commutative_binary64_2054`

Counts

4 → 94

Calls

4 calls:

53.0ms	(/.f64 (+.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 z (.f64 y y)) (.f64 y 471841060772561/17179869184))) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c) y) i))
10.0ms	(+.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 z (.f64 y y)) (.f64 y 471841060772561/17179869184)))
9.0ms	(*.f64 (pow.f64 y 3) x)
6.0ms	(.f64 z (.f64 y y))

Compiler

Compiled 4951 to 1805 computations (63.5% saved)

series10.4s (17%)

Error

9.8b

Counts

4 → 87

Calls

4 calls:

9.3s	(/.f64 (+.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 z (.f64 y y)) (.f64 y 471841060772561/17179869184))) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c) y) i))
352.0ms	(+.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 z (.f64 y y)) (.f64 y 471841060772561/17179869184)))
93.0ms	(*.f64 (pow.f64 y 3) x)
88.0ms	(.f64 z (.f64 y y))

Compiler

Compiled 28815 to 19483 computations (32.4% saved)

simplify146.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5093	13889

prune546.0ms (0.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	181	15	196

Error

9.1b

Counts

196 → 15

Compiler

Compiled 13601 to 5481 computations (59.7% saved)

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.1b	(+.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 y 3) a) (+.f64 (.f64 (.f64 y y) b) (+.f64 (.f64 y c) i))))
27.9b	(/.f64 (.f64 z (pow.f64 y 3)) (+.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 y 3) a) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
29.2b	(/.f64 (.f64 (pow.f64 y 4) x) (+.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 y 3) a) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
29.3b	(/.f64 (.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 y 3) a) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))

rewrite789.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

8.9b

Rules

29×	`add-exp-log_binary64_2162`
24×	`*-un-lft-identity_binary64_2124`
19×	`add-cbrt-cube_binary64_2160`
18×	`add-log-exp_binary64_2163`
12×	`times-frac_binary64_2130` `associate-/r*_binary64_2068`
10×	`div-exp_binary64_2175` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `sum-log_binary64_2215`
7×	`prod-exp_binary64_2173` `distribute-lft-out_binary64_2075`
6×	`cbrt-undiv_binary64_2158` `associate-/r/_binary64_2070`
4×	`pow1_binary64_2185` `flip3-+_binary64_2127` `flip-+_binary64_2098`
3×	`cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l*_binary64_2069`
2×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
1×	`associate-+r+_binary64_2056` `+-commutative_binary64_2054`

Counts

4 → 95

Calls

4 calls:

23.0ms	(/.f64 (.f64 (pow.f64 y 4) x) (+.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 y 3) a) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
23.0ms	(/.f64 (.f64 z (pow.f64 y 3)) (+.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 y 3) a) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
23.0ms	(/.f64 (.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 y 3) a) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
18.0ms	(+.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 y 3) a) (+.f64 (.f64 (.f64 y y) b) (+.f64 (.f64 y c) i))))

Compiler

Compiled 14526 to 5990 computations (58.8% saved)

series4.5s (7.4%)

Error

7.1b

Counts

4 → 114

Calls

4 calls:

1.4s	(/.f64 (.f64 z (pow.f64 y 3)) (+.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 y 3) a) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
838.0ms	(/.f64 (.f64 (pow.f64 y 4) x) (+.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 y 3) a) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
771.0ms	(/.f64 (.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 y 3) a) (+.f64 (.f64 (.f64 y y) b) (+.f64 (*.f64 y c) i)))))
765.0ms	(+.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 y 3) a) (+.f64 (.f64 (.f64 y y) b) (+.f64 (.f64 y c) i))))

Compiler

Compiled 41204 to 21484 computations (47.9% saved)

simplify112.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4985	6960
1	4985	6960

prune1.6s (2.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	203	6	209
Fresh	3	9	12
Picked	1	0	1
Done	0	2	2
Total	207	17	224

Error

7.1b

Counts

224 → 17

Compiler

Compiled 28129 to 11473 computations (59.2% saved)

regimes7.6s (12.4%)

Accuracy

Total 5.5b remaining (50%)

Threshold costs 0b (0%)

Compiler

Compiled 79295 to 48538 computations (38.8% saved)

bsearch113.0ms (0.2%)

Steps

Iters	Range		Point
9	1.3813643799719492e+52	5.7467957918659976e+57	1.969901205390635e+54
6	-2.738873490411261e+62	-4.575899612441995e+61	-5.95739283321287e+61

Compiler

Compiled 1 to 8 computations (-700% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	92	79
1	92	79

end0.0ms (0%)

sample7.1s (11.7%)

Algorithm

1×

intervals

Results

899.0ms	8000×	body	128	valid
24.0ms	239×	body	128	invalid

Compiler

Compiled 8843 to 5420 computations (38.7% saved)

Details

analyze2.6s (4.3%)

sample61.0ms (0.1%)

simplify338.0ms (0.6%)

prune4.0ms (0%)

localize39.0ms (0.1%)

rewrite293.0ms (0.5%)

series10.9s (17.9%)

simplify178.0ms (0.3%)

prune939.0ms (1.5%)

localize40.0ms (0.1%)

rewrite243.0ms (0.4%)

series11.1s (18.1%)

simplify188.0ms (0.3%)

prune777.0ms (1.3%)

localize25.0ms (0%)

rewrite262.0ms (0.4%)

series10.4s (17%)

simplify146.0ms (0.2%)

prune546.0ms (0.9%)

localize45.0ms (0.1%)

rewrite789.0ms (1.3%)

series4.5s (7.4%)

simplify112.0ms (0.2%)

prune1.6s (2.6%)

regimes7.6s (12.4%)

bsearch113.0ms (0.2%)

simplify6.0ms (0%)

end0.0ms (0%)

sample7.1s (11.7%)

Profiling