Details

analyze2.0s (14.5%)

Algorithm

1×

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)

sample38.0ms (0.3%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 67 to 61 computations (9% saved)

simplify282.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4952	49
1	4952	49

prune3.0ms (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

Merged error: 28.4b

Counts

2 → 1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
27.7b	(/.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))

rewrite73.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_772`
18×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
12×	`add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
10×	`pow1_binary64_809`
9×	`times-frac_binary64_757` `associate-l_binary64_694` `associate-r_binary64_693`
6×	`associate-*l/_binary64_696`
5×	`flip3-+_binary64_754` `flip-+_binary64_725`
4×	`add-log-exp_binary64_787`
3×	`prod-exp_binary64_797` `unswap-sqr_binary64_719` `associate-/r_binary64_697` `pow-prod-down_binary64_819` `-commutative_binary64_684` `cbrt-unprod_binary64_781` `associate-/l*_binary64_698`
2×	`associate-/l/_binary64_700` `associate-/r/_binary64_699`
1×	`div-inv_binary64_748` `cbrt-undiv_binary64_782` `frac-2neg_binary64_762` `clear-num_binary64_750` `div-exp_binary64_799`

Counts

4 → 91

Calls

4 calls:

30.0ms	(/.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))
11.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
8.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series966.0ms (7%)

Counts

4 → 12

Calls

4 calls:

762.0ms	(/.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))
87.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
66.0ms	(.f64 (+.f64 (.f64 x y) z) y)
51.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5369	3231

prune196.0ms (1.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	90	13	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	13	104

Merged error: 27.5b

Counts

104 → 13

Compiler

Compiled 5088 to 1715 computations (66.3% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184))
0.1b	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))
0.3b	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
27.7b	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))

rewrite116.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_757`
64×	`add-sqr-sqrt_binary64_772`
60×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
21×	`add-exp-log_binary64_786`
18×	`associate-/r*_binary64_697`
15×	`add-cbrt-cube_binary64_784`
11×	`associate-/r/_binary64_699`
9×	`pow1_binary64_809`
8×	`flip3-+_binary64_754` `flip-+_binary64_725` `div-exp_binary64_799`
6×	`div-inv_binary64_748` `associate-l_binary64_694` `associate-r_binary64_693` `associate-/l*_binary64_698`
4×	`add-log-exp_binary64_787` `associate-*r/_binary64_695` `cbrt-undiv_binary64_782`
2×	`1-exp_binary64_792` `prod-exp_binary64_797` `unswap-sqr_binary64_719` `associate-/l/_binary64_700` `distribute-lft-in_binary64_702` `rec-exp_binary64_798` `pow-prod-down_binary64_819` `*-commutative_binary64_684` `frac-2neg_binary64_762` `cbrt-unprod_binary64_781` `clear-num_binary64_750` `distribute-rgt-in_binary64_703`
1×	`inv-pow_binary64_833` `pow-flip_binary64_822`

Counts

4 → 159

Calls

4 calls:

31.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
29.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
12.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184))
11.0ms	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))

series2.1s (15%)

Counts

4 → 12

Calls

4 calls:

1.1s	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
840.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
71.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184))
66.0ms	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))

simplify122.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5067	9760

prune304.0ms (2.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	164	7	171
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	171	13	184

Merged error: 27.5b

Counts

184 → 13

Compiler

Compiled 9759 to 3277 computations (66.4% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))
0.2b	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
0.3b	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
27.5b	(/.f64 (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))

rewrite181.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

531×	`times-frac_binary64_757`
248×	`add-sqr-sqrt_binary64_772`
246×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
69×	`associate-/r/_binary64_699`
54×	`add-exp-log_binary64_786`
36×	`div-exp_binary64_799`
35×	`flip3-+_binary64_754` `div-inv_binary64_748` `flip-+_binary64_725`
22×	`add-cbrt-cube_binary64_784`
21×	`associate-/r_binary64_697` `associate-/l_binary64_698`
10×	`1-exp_binary64_792` `rec-exp_binary64_798` `cbrt-undiv_binary64_782`
8×	`pow1_binary64_809`
4×	`add-log-exp_binary64_787`
3×	`frac-2neg_binary64_762` `associate-l_binary64_694` `associate-r_binary64_693` `clear-num_binary64_750`
2×	`inv-pow_binary64_833` `associate-*r/_binary64_695` `pow-flip_binary64_822`
1×	`prod-exp_binary64_797` `unswap-sqr_binary64_719` `associate-/l/_binary64_700` `distribute-lft-in_binary64_702` `pow-prod-down_binary64_819` `*-commutative_binary64_684` `cbrt-unprod_binary64_781` `distribute-rgt-in_binary64_703`

Counts

4 → 375

Calls

4 calls:

39.0ms	(/.f64 (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
18.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
16.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
11.0ms	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))

series1.1s (7.9%)

Counts

4 → 12

Calls

4 calls:

823.0ms	(/.f64 (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
116.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
95.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
58.0ms	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))

simplify322.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

387 → 387

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4969	32890
1	4969	32890

prune979.0ms (7.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	387	0	387
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	387	13	400

Merged error: 27.5b

Counts

400 → 13

Compiler

Compiled 26050 to 8617 computations (66.9% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.9b	(cbrt.f64 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))
27.7b	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
27.7b	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
27.7b	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))

rewrite163.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_757`
35×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
15×	`cbrt-prod_binary64_779`
10×	`add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
9×	`associate-/r_binary64_697` `associate-/l_binary64_698`
8×	`associate-/r/_binary64_699`
7×	`flip3-+_binary64_754` `flip-+_binary64_725`
6×	`associate-/l/_binary64_700`
4×	`pow1_binary64_809` `add-log-exp_binary64_787` `div-inv_binary64_748`
3×	`cbrt-undiv_binary64_782` `frac-2neg_binary64_762` `clear-num_binary64_750` `div-exp_binary64_799`
1×	`pow1/3_binary64_830` `cbrt-div_binary64_780`

Counts

4 → 117

Calls

4 calls:

34.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
31.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
31.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
26.0ms	(cbrt.f64 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))

series2.3s (16.7%)

Counts

4 → 12

Calls

4 calls:

725.0ms	(cbrt.f64 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))
535.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
518.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
517.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))

simplify128.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5516	8509

prune445.0ms (3.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	129	13	142

Merged error: 27.5b

Counts

142 → 13

Compiler

Compiled 15933 to 4572 computations (71.3% saved)

regimes317.0ms (2.3%)

Compiler: Compiled 4936 to 3264 computations (33.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	55
1	46	55

end0.0ms (0%)

sample1.5s (10.9%)

Algorithm

1×

intervals

Results

698.0ms	8000×	body	128	valid
17.0ms	204×	body	128	invalid

Compiler

Compiled 686 to 457 computations (33.4% saved)

Details

analyze2.0s (14.5%)

sample38.0ms (0.3%)

simplify282.0ms (2%)

prune3.0ms (0%)

localize25.0ms (0.2%)

rewrite73.0ms (0.5%)

series966.0ms (7%)

simplify80.0ms (0.6%)

prune196.0ms (1.4%)

localize28.0ms (0.2%)

rewrite116.0ms (0.8%)

series2.1s (15%)

simplify122.0ms (0.9%)

prune304.0ms (2.2%)

localize26.0ms (0.2%)

rewrite181.0ms (1.3%)

series1.1s (7.9%)

simplify322.0ms (2.3%)

prune979.0ms (7.1%)

localize31.0ms (0.2%)

rewrite163.0ms (1.2%)

series2.3s (16.7%)

simplify128.0ms (0.9%)

prune445.0ms (3.2%)

regimes317.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (10.9%)

Profiling