Details

analyze3.8s (6.3%)

Algorithm

2×	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%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14
0%	99.6%	0.4%	14

Compiler

Compiled 68 to 54 computations (20.6% saved)

sample387.0ms (0.6%)

Algorithm

2×

intervals

Results

42.0ms	512×	body	128	valid
1.0ms	10×	body	128	invalid

Compiler

Compiled 9009 to 9266 computations (-2.9% saved)

simplify196.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (190.0ms)

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

29.4b

Counts

2 → 1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)
28.6b	(/.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))

rewrite279.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

29.3b

Rules

24×	`add-sqr-sqrt_binary64_1123`
18×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
12×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`pow1_binary64_1162`
9×	`times-frac_binary64_1107` `associate-l_binary64_1042` `associate-r_binary64_1041`
6×	`associate-*l/_binary64_1044`
5×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
4×	`add-log-exp_binary64_1140`
3×	`associate-/l_binary64_1046` `associate-/r_binary64_1045` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032`
2×	`associate-/l/_binary64_1048` `associate-/r/_binary64_1047`
1×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098`

Counts

4 → 91

Calls

4 calls:

33.0ms	(/.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)
10.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)

Compiler

Compiled 4515 to 1297 computations (71.3% saved)

series7.8s (12.8%)

Error

6.9b

Counts

4 → 118

Calls

4 calls:

6.4s	(/.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))
523.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
284.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
212.0ms	(.f64 (+.f64 (.f64 x y) z) y)

Compiler

Compiled 24812 to 16881 computations (32% saved)

simplify110.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5020	12258

prune626.0ms (1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	194	15	209
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	195	15	210

Error

6.8b

Counts

210 → 15

Compiler

Compiled 12830 to 4985 computations (61.1% saved)

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
28.6b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 z (.f64 y x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite180.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

6.8b

Rules

15×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
9×	`times-frac_binary64_1107` `cbrt-prod_binary64_1132`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
4×	`pow1_binary64_1162` `add-log-exp_binary64_1140`
3×	`associate-/l_binary64_1046` `associate-/r_binary64_1045` `pow1/3_binary64_1183`
2×	`flip3-+_binary64_1104` `associate-/l/_binary64_1048` `flip-+_binary64_1075` `associate-/r/_binary64_1047`
1×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098`

Counts

4 → 64

Calls

4 calls:

33.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 z (.f64 y x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 3770 to 940 computations (75.1% saved)

series7.2s (11.9%)

Error

6.8b

Counts

4 → 60

Calls

4 calls:

6.6s	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 z (.f64 y x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
123.0ms	(cbrt.f64 y)
121.0ms	(cbrt.f64 y)
114.0ms	(cbrt.f64 y)

Compiler

Compiled 20739 to 14144 computations (31.8% saved)

simplify95.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5076	10532

prune417.0ms (0.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	124	15	139

Error

6.8b

Counts

139 → 15

Compiler

Compiled 10037 to 3936 computations (60.8% saved)

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a))))))
0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.3b	(/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a))))))))
28.5b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a)))))))))

rewrite271.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

6.8b

Rules

35×	`add-sqr-sqrt_binary64_1123`
25×	`*-un-lft-identity_binary64_1101`
24×	`add-cube-cbrt_binary64_1136`
21×	`add-exp-log_binary64_1139` `associate-r_binary64_1041`
20×	`times-frac_binary64_1107`
15×	`add-cbrt-cube_binary64_1137`
11×	`pow1_binary64_1162`
9×	`associate-l_binary64_1042`
6×	`prod-exp_binary64_1150` `flip3-+_binary64_1104` `flip-+_binary64_1075`
5×	`unswap-sqr_binary64_1069`
4×	`div-exp_binary64_1152` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `associate-*l/_binary64_1044` `associate-/r/_binary64_1047`
3×	`pow-prod-down_binary64_1172` `associate-r/_binary64_1043` `-commutative_binary64_1032` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-times_binary64_1111` `div-inv_binary64_1098`
1×	`un-div-inv_binary64_1099` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`

Counts

4 → 117

Calls

4 calls:

23.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a)))))))))
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)
6.0ms	(.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a))))))
5.0ms	(/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a))))))))

Compiler

Compiled 6099 to 1829 computations (70% saved)

series8.2s (13.4%)

Error

6.8b

Counts

4 → 122

Calls

4 calls:

6.5s	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a)))))))))
527.0ms	(.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a))))))
524.0ms	(/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a))))))))
213.0ms	(.f64 (+.f64 (.f64 x y) z) y)

Compiler

Compiled 26197 to 18224 computations (30.4% saved)

simplify119.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5402	13867

prune664.0ms (1.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	239	0	239
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	239	15	254

Error

6.8b

Counts

254 → 15

Compiler

Compiled 14507 to 5770 computations (60.2% saved)

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a))))))
0.1b	(.f64 y (+.f64 z (.f64 y x)))
0.2b	(/.f64 1 (/.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))) (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x))))))))))
28.7b	(/.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))) (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x)))))))))

rewrite417.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

6.8b

Rules

90×	`times-frac_binary64_1107`
64×	`add-sqr-sqrt_binary64_1123`
60×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
21×	`add-exp-log_binary64_1139`
18×	`associate-/r*_binary64_1045`
15×	`add-cbrt-cube_binary64_1137`
11×	`associate-/r/_binary64_1047`
9×	`pow1_binary64_1162`
8×	`div-exp_binary64_1152` `flip3-+_binary64_1104` `flip-+_binary64_1075`
6×	`div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-l_binary64_1042` `associate-r*_binary64_1041`
4×	`add-log-exp_binary64_1140` `cbrt-undiv_binary64_1135` `associate-*r/_binary64_1043`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `1-exp_binary64_1145` `rec-exp_binary64_1151` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `*-commutative_binary64_1032`
1×	`inv-pow_binary64_1186` `pow-flip_binary64_1175`

Counts

4 → 159

Calls

4 calls:

9.0ms	(/.f64 1 (/.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))) (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x))))))))))
7.0ms	(/.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))) (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x)))))))))
6.0ms	(.f64 y (+.f64 z (.f64 y x)))
5.0ms	(.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a))))))

Compiler

Compiled 9675 to 3126 computations (67.7% saved)

series16.6s (27.3%)

Error

3.7b

Counts

4 → 152

Calls

4 calls:

8.1s	(/.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))) (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x)))))))))
6.3s	(/.f64 1 (/.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))) (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x))))))))))
494.0ms	(.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a))))))
195.0ms	(.f64 y (+.f64 z (.f64 y x)))

Compiler

Compiled 51346 to 35961 computations (30% saved)

simplify280.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

311 → 311

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4977	36152
1	4977	36152

prune1.8s (2.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	307	4	311
Fresh	4	8	12
Picked	0	1	1
Done	0	2	2
Total	311	15	326

Error

3.7b

Counts

326 → 15

Compiler

Compiled 27877 to 12420 computations (55.4% saved)

regimes6.5s (10.7%)

Accuracy

Total 6.4b remaining (59%)

Threshold costs 0b (0%)

Compiler

Compiled 60027 to 39060 computations (34.9% saved)

bsearch14.0ms (0%)

Compiler: Compiled 33 to 26 computations (21.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	92	175
1	92	175

end0.0ms (0%)

sample4.7s (7.8%)

Algorithm

1×

intervals

Results

680.0ms	8000×	body	128	valid
18.0ms	225×	body	128	invalid

Compiler

Compiled 6770 to 4386 computations (35.2% saved)

Details

analyze3.8s (6.3%)

sample387.0ms (0.6%)

simplify196.0ms (0.3%)

prune4.0ms (0%)

localize23.0ms (0%)

rewrite279.0ms (0.5%)

series7.8s (12.8%)

simplify110.0ms (0.2%)

prune626.0ms (1%)

localize30.0ms (0%)

rewrite180.0ms (0.3%)

series7.2s (11.9%)

simplify95.0ms (0.2%)

prune417.0ms (0.7%)

localize24.0ms (0%)

rewrite271.0ms (0.4%)

series8.2s (13.4%)

simplify119.0ms (0.2%)

prune664.0ms (1.1%)

localize24.0ms (0%)

rewrite417.0ms (0.7%)

series16.6s (27.3%)

simplify280.0ms (0.5%)

prune1.8s (2.9%)

regimes6.5s (10.7%)

bsearch14.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.7s (7.8%)

Profiling