Details

analyze2.3s (20.3%)

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)

sample45.0ms (0.4%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 67 to 61 computations (9% saved)

simplify221.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (215.0ms)

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

29.6b

Counts

2 → 1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
28.8b	(/.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))

rewrite81.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_1805`
18×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
12×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
10×	`pow1_binary64_1844`
9×	`associate-l_binary64_1724` `times-frac_binary64_1789` `associate-r_binary64_1723`
6×	`associate-*l/_binary64_1726`
5×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
4×	`add-log-exp_binary64_1822`
3×	`associate-/l_binary64_1728` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-/r_binary64_1727` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782`

Counts

4 → 91

Calls

4 calls:

28.0ms	(/.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))
14.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
14.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y)
13.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)

series602.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

421.0ms	(/.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))
76.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y)
54.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
51.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4958	3639
1	4958	3639

prune203.0ms (1.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	91	12	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	12	104

Error

28.2b

Counts

104 → 12

Compiler

Compiled 5128 to 1685 computations (67.1% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
28.8b	(/.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite49.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`cbrt-prod_binary64_1814` `times-frac_binary64_1789`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
4×	`add-log-exp_binary64_1822` `pow1_binary64_1844`
3×	`associate-/l_binary64_1728` `associate-/r_binary64_1727` `pow1/3_binary64_1865`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `flip-+_binary64_1757` `flip3-+_binary64_1786`
1×	`div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782`

Counts

4 → 64

Calls

4 calls:

37.0ms	(/.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 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)

series743.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

500.0ms	(/.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
85.0ms	(cbrt.f64 y)
81.0ms	(cbrt.f64 y)
75.0ms	(cbrt.f64 y)

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5032	2406

prune120.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	76	12	88

Error

28.2b

Counts

88 → 12

Compiler

Compiled 4135 to 1331 computations (67.8% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
0.1b	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184))
0.5b	(/.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)))
28.8b	(/.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))

rewrite107.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_1789`
64×	`add-sqr-sqrt_binary64_1805`
60×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
21×	`add-exp-log_binary64_1821`
18×	`associate-/r*_binary64_1727`
15×	`add-cbrt-cube_binary64_1819`
11×	`associate-/r/_binary64_1729`
9×	`pow1_binary64_1844`
8×	`flip-+_binary64_1757` `div-exp_binary64_1834` `flip3-+_binary64_1786`
6×	`associate-/l_binary64_1728` `div-inv_binary64_1780` `associate-l_binary64_1724` `associate-r*_binary64_1723`
4×	`associate-*r/_binary64_1725` `cbrt-undiv_binary64_1817` `add-log-exp_binary64_1822`
2×	`associate-/l/_binary64_1730` `distribute-lft-in_binary64_1732` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `1-exp_binary64_1827` `*-commutative_binary64_1714` `frac-2neg_binary64_1794` `distribute-rgt-in_binary64_1733` `clear-num_binary64_1782` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `rec-exp_binary64_1833`
1×	`inv-pow_binary64_1868` `pow-flip_binary64_1857`

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))
27.0ms	(/.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)))
13.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
11.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184))

series1.2s (10.3%)

Counts

4 → 12

Calls

4 calls:

621.0ms	(/.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))
445.0ms	(/.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)))
56.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
35.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184))

simplify143.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5060	9908

prune281.0ms (2.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	167	4	171
Fresh	3	7	10
Picked	0	1	1
Done	1	0	1
Total	171	12	183

Error

28.2b

Counts

183 → 12

Compiler

Compiled 9673 to 3180 computations (67.1% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
28.8b	(/.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 y (+.f64 (.f64 y (+.f64 y a)) b)) c) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) i))

rewrite46.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`cbrt-prod_binary64_1814` `times-frac_binary64_1789`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
4×	`add-log-exp_binary64_1822` `pow1_binary64_1844`
3×	`associate-/l_binary64_1728` `associate-/r_binary64_1727` `pow1/3_binary64_1865`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `flip-+_binary64_1757` `flip3-+_binary64_1786`
1×	`div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782`

Counts

4 → 64

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 y (+.f64 (.f64 y (+.f64 y a)) b)) c) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) i))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series985.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

742.0ms	(/.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 y (+.f64 (.f64 y (+.f64 y a)) b)) c) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) i))
85.0ms	(cbrt.f64 y)
81.0ms	(cbrt.f64 y)
77.0ms	(cbrt.f64 y)

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4953	2406
1	4953	2406

prune106.0ms (0.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	76	12	88

Error

28.2b

Counts

88 → 12

Compiler

Compiled 3647 to 1046 computations (71.3% saved)

regimes1.2s (11%)

Accuracy

Total 0.3b remaining (0.9%)

Threshold costs 0.3b (0.9%)

Compiler

Compiled 23320 to 15138 computations (35.1% saved)

bsearch7.0ms (0.1%)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	104
1	47	104

end0.0ms (0%)

sample2.5s (22%)

Algorithm

1×

intervals

Results

686.0ms	8000×	body	128	valid
16.0ms	205×	body	128	invalid

Compiler

Compiled 2686 to 1735 computations (35.4% saved)

Details

analyze2.3s (20.3%)

sample45.0ms (0.4%)

simplify221.0ms (2%)

prune4.0ms (0%)

localize23.0ms (0.2%)

rewrite81.0ms (0.7%)

series602.0ms (5.3%)

simplify90.0ms (0.8%)

prune203.0ms (1.8%)

localize27.0ms (0.2%)

rewrite49.0ms (0.4%)

series743.0ms (6.6%)

simplify78.0ms (0.7%)

prune120.0ms (1.1%)

localize24.0ms (0.2%)

rewrite107.0ms (1%)

series1.2s (10.3%)

simplify143.0ms (1.3%)

prune281.0ms (2.5%)

localize29.0ms (0.3%)

rewrite46.0ms (0.4%)

series985.0ms (8.7%)

simplify76.0ms (0.7%)

prune106.0ms (0.9%)

regimes1.2s (11%)

bsearch7.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.5s (22%)

Profiling