Details

analyze2.0s (15.3%)

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)

sample44.0ms (0.3%)

Algorithm

1×

intervals

Results

26.0ms	256×	body	128	valid
1.0ms	7×	body	128	invalid

Compiler

Compiled 67 to 61 computations (9% saved)

simplify280.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (124.0ms)

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: 31.6b

Counts

2 → 1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize27.0ms (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 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
30.8b	(/.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))

rewrite78.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2120`
18×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
12×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
10×	`pow1_binary64_2157`
9×	`associate-l_binary64_2042` `times-frac_binary64_2105` `associate-r_binary64_2041`
6×	`associate-*l/_binary64_2044`
5×	`flip3-+_binary64_2102` `flip-+_binary64_2073`
4×	`add-log-exp_binary64_2135`
3×	`-commutative_binary64_2032` `prod-exp_binary64_2145` `associate-/r_binary64_2045` `pow-prod-down_binary64_2167` `unswap-sqr_binary64_2067` `associate-/l*_binary64_2046` `cbrt-unprod_binary64_2129`
2×	`associate-/l/_binary64_2048` `associate-/r/_binary64_2047`
1×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147` `frac-2neg_binary64_2110` `clear-num_binary64_2098` `div-inv_binary64_2096`

Counts

4 → 91

Calls

4 calls:

31.0ms	(/.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))
15.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y)
12.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series1.0s (8.2%)

Counts

4 → 12

Calls

4 calls:

731.0ms	(/.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))
149.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y)
95.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
66.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5566	3432

prune204.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	93	10	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	10	104

Merged error: 30.5b

Counts

104 → 10

Compiler

Compiled 5040 to 1605 computations (68.2% saved)

localize24.0ms (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 x y) z) y) 471841060772561/17179869184) y)
0.1b	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
30.8b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

rewrite98.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_2120`
25×	`*-un-lft-identity_binary64_2099`
24×	`add-cube-cbrt_binary64_2131`
21×	`associate-r_binary64_2041` `add-exp-log_binary64_2134`
20×	`times-frac_binary64_2105`
15×	`add-cbrt-cube_binary64_2132`
11×	`pow1_binary64_2157`
9×	`associate-l_binary64_2042`
6×	`flip3-+_binary64_2102` `associate-*l/_binary64_2044` `prod-exp_binary64_2145` `flip-+_binary64_2073`
5×	`unswap-sqr_binary64_2067`
4×	`div-exp_binary64_2147` `associate-/r/_binary64_2047` `add-log-exp_binary64_2135` `cbrt-unprod_binary64_2129`
3×	`-commutative_binary64_2032` `associate-/r_binary64_2045` `pow-prod-down_binary64_2167` `associate-/l*_binary64_2046`
2×	`cbrt-undiv_binary64_2130` `1-exp_binary64_2140` `rec-exp_binary64_2146` `frac-times_binary64_2109` `div-inv_binary64_2096`
1×	`pow-flip_binary64_2170` `associate-*r/_binary64_2043` `un-div-inv_binary64_2097` `inv-pow_binary64_2181` `frac-2neg_binary64_2110` `clear-num_binary64_2098`

Counts

4 → 115

Calls

4 calls:

39.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.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 y a)) b)) c)) i))
14.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y)
12.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)

series1.1s (8.6%)

Counts

4 → 12

Calls

4 calls:

756.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))
138.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y)
100.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
98.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4963	4546
1	4963	4546

prune199.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	126	11	137

Merged error: 30.5b

Counts

137 → 11

Compiler

Compiled 6344 to 2065 computations (67.4% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

21.2b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))
21.2b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))
21.2b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))
30.8b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)))) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

rewrite99.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_2120`
15×	`associate-r_binary64_2041`
13×	`*-un-lft-identity_binary64_2099` `add-exp-log_binary64_2134`
12×	`add-cube-cbrt_binary64_2131`
11×	`times-frac_binary64_2105`
9×	`add-cbrt-cube_binary64_2132`
7×	`associate-*r/_binary64_2043`
6×	`cbrt-div_binary64_2128` `flip3-+_binary64_2102` `pow1_binary64_2157` `flip-+_binary64_2073`
4×	`prod-exp_binary64_2145` `add-log-exp_binary64_2135`
3×	`associate-l_binary64_2042` `pow1/3_binary64_2178` `unswap-sqr_binary64_2067` `cbrt-prod_binary64_2127`
2×	`div-exp_binary64_2147` `associate-*l/_binary64_2044` `associate-/r/_binary64_2047` `frac-times_binary64_2109` `cbrt-unprod_binary64_2129`
1×	`cbrt-undiv_binary64_2130` `1-exp_binary64_2140` `un-div-inv_binary64_2097` `*-commutative_binary64_2032` `rec-exp_binary64_2146` `pow-prod-down_binary64_2167` `div-inv_binary64_2096`

Counts

4 → 75

Calls

4 calls:

52.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)))) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))
11.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))
10.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))
10.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))

series1.7s (13.5%)

Counts

4 → 12

Calls

4 calls:

776.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)))) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))
318.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))
314.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))
314.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4824	3389
1	4824	3389

prune183.0ms (1.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	87	11	98

Merged error: 30.5b

Counts

98 → 11

Compiler

Compiled 5862 to 2103 computations (64.1% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

18.8b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))
18.8b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))
18.8b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))
30.8b	(.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

rewrite104.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_2120`
15×	`associate-r_binary64_2041`
13×	`*-un-lft-identity_binary64_2099` `add-exp-log_binary64_2134`
12×	`add-cube-cbrt_binary64_2131`
11×	`times-frac_binary64_2105`
9×	`add-cbrt-cube_binary64_2132`
7×	`associate-*r/_binary64_2043`
6×	`cbrt-div_binary64_2128` `flip3-+_binary64_2102` `pow1_binary64_2157` `flip-+_binary64_2073`
4×	`prod-exp_binary64_2145` `add-log-exp_binary64_2135`
3×	`associate-l_binary64_2042` `pow1/3_binary64_2178` `unswap-sqr_binary64_2067` `cbrt-prod_binary64_2127`
2×	`div-exp_binary64_2147` `associate-*l/_binary64_2044` `associate-/r/_binary64_2047` `frac-times_binary64_2109` `cbrt-unprod_binary64_2129`
1×	`cbrt-undiv_binary64_2130` `1-exp_binary64_2140` `un-div-inv_binary64_2097` `*-commutative_binary64_2032` `rec-exp_binary64_2146` `pow-prod-down_binary64_2167` `div-inv_binary64_2096`

Counts

4 → 75

Calls

4 calls:

47.0ms	(.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))
13.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))
13.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))
13.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))

series1.6s (12.6%)

Counts

4 → 12

Calls

4 calls:

817.0ms	(.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))
272.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))
262.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))
261.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)))

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4966	3627
1	4966	3627

prune184.0ms (1.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	87	11	98

Merged error: 30.5b

Counts

98 → 11

Compiler

Compiled 5867 to 2183 computations (62.8% saved)

regimes1.1s (8.6%)

Compiler: Compiled 19108 to 12105 computations (36.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	49
1	42	49

end0.0ms (0%)

sample2.3s (17.8%)

Algorithm

1×

intervals

Results

678.0ms	8000×	body	128	valid
16.0ms	205×	body	128	invalid

Compiler

Compiled 2181 to 1386 computations (36.5% saved)

Details

analyze2.0s (15.3%)

sample44.0ms (0.3%)

simplify280.0ms (2.2%)

prune3.0ms (0%)

localize27.0ms (0.2%)

rewrite78.0ms (0.6%)

series1.0s (8.2%)

simplify95.0ms (0.7%)

prune204.0ms (1.6%)

localize24.0ms (0.2%)

rewrite98.0ms (0.8%)

series1.1s (8.6%)

simplify93.0ms (0.7%)

prune199.0ms (1.6%)

localize30.0ms (0.2%)

rewrite99.0ms (0.8%)

series1.7s (13.5%)

simplify88.0ms (0.7%)

prune183.0ms (1.4%)

localize35.0ms (0.3%)

rewrite104.0ms (0.8%)

series1.6s (12.6%)

simplify95.0ms (0.7%)

prune184.0ms (1.4%)

regimes1.1s (8.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (17.8%)

Profiling