Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 65 to 53 computations (18.5% saved)

sample48.0ms (0.2%)

Algorithm

1×

intervals

Results

37.0ms

256×

body

128

valid

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify155.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5204	79

prune9.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

14.7b

Counts

2 → 2

Compiler

Compiled 166 to 134 computations (19.3% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.2b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.5b	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
14.6b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite526.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

14.6b

Rules

20×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
18×	`times-frac_binary64_2130`
12×	`add-exp-log_binary64_2162`
8×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
6×	`pow1_binary64_2185` `associate-/l_binary64_2069` `associate-/r_binary64_2068`
4×	`div-exp_binary64_2175` `associate-/r/_binary64_2070`
3×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
2×	`associate-+r+_binary64_2056` `inv-pow_binary64_2209` `pow-flip_binary64_2198` `1-exp_binary64_2168` `rec-exp_binary64_2174` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`
1×	`diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `cancel-sign-sub-inv_binary64_2090` `sum-log_binary64_2215` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `+-commutative_binary64_2054`

Counts

4 → 91

Calls

4 calls:

6.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
6.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
5.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
4.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))

Compiler

Compiled 7584 to 5692 computations (24.9% saved)

series1.7s (5.4%)

Error

14.6b

Counts

4 → 12

Calls

4 calls:

1.0s	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
506.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
67.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
60.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 2625 to 2081 computations (20.7% saved)

simplify105.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4924	4010
1	4924	4010

prune541.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	100	5	105

Error

14.6b

Counts

105 → 5

Compiler

Compiled 7971 to 5914 computations (25.8% saved)

localize250.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))
0.3b	(.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
0.5b	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (cbrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
14.6b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (cbrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite677.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

14.6b

Rules

21×	`add-sqr-sqrt_binary64_2146`
19×	`cbrt-prod_binary64_2155`
14×	`cbrt-div_binary64_2156`
13×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`pow1_binary64_2185`
8×	`add-log-exp_binary64_2163` `flip3-+_binary64_2127` `flip-+_binary64_2098`
7×	`pow1/3_binary64_2206`
6×	`add-exp-log_binary64_2162` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064`
4×	`add-cbrt-cube_binary64_2160` `frac-times_binary64_2134` `unswap-sqr_binary64_2092`
2×	`associate-+r+_binary64_2056` `pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097` `associate-l/_binary64_2067` `associate-r/_binary64_2066`
1×	`diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `cancel-sign-sub-inv_binary64_2090` `sum-log_binary64_2215` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `+-commutative_binary64_2054` `pow2_binary64_2205` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `*-commutative_binary64_2055`

Counts

4 → 86

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
5.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (cbrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
5.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (cbrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
3.0ms	(cbrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))

Compiler

Compiled 9249 to 6956 computations (24.8% saved)

series1.8s (5.9%)

Error

14.6b

Counts

4 → 12

Calls

4 calls:

1.0s	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (cbrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
506.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (cbrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
154.0ms	(.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
125.0ms	(cbrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))

Compiler

Compiled 2895 to 2297 computations (20.7% saved)

simplify109.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4958	4204
1	4958	4204

prune548.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	97	6	103

Error

14.6b

Counts

103 → 6

Compiler

Compiled 8804 to 6564 computations (25.4% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)
0.4b	(/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
0.4b	(/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
14.6b	(-.f64 (+.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) (+.f64 (/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) 5125037576950889/18014398509481984))) (+.f64 (/.f64 (/.f64 4780145094533421/4503599627370496 (exp.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 5)) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (+.f64 2295300911148351/9007199254740992 (/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))))))

rewrite1.5s (4.7%)

Algorithm

1×	rewrite-expression-head

Error

14.6b

Rules

48×	`times-frac_binary64_2130`
43×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
41×	`add-cube-cbrt_binary64_2159`
27×	`unpow-prod-down_binary64_2203`
16×	`add-log-exp_binary64_2163` `associate-/r*_binary64_2068`
15×	`add-exp-log_binary64_2162`
14×	`frac-sub_binary64_2133`
13×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
10×	`frac-add_binary64_2132`
9×	`unpow2_binary64_2189` `sqr-pow_binary64_2096`
8×	`add-cbrt-cube_binary64_2160`
6×	`div-exp_binary64_2175` `associate-/l*_binary64_2069`
5×	`pow1_binary64_2185`
4×	`sum-log_binary64_2215` `diff-log_binary64_2216` `frac-times_binary64_2134` `associate-*r/_binary64_2066`
3×	`cancel-sign-sub-inv_binary64_2090` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `pow-unpow_binary64_2201`
2×	`associate-*l/_binary64_2067` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`
1×	`flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076` `associate--l+_binary64_2061` `associate--r+_binary64_2060` `pow-pow_binary64_2196`

Counts

4 → 151

Calls

4 calls:

43.0ms	(-.f64 (+.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) (+.f64 (/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) 5125037576950889/18014398509481984))) (+.f64 (/.f64 (/.f64 4780145094533421/4503599627370496 (exp.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 5)) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (+.f64 2295300911148351/9007199254740992 (/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))))))
7.0ms	(/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
7.0ms	(/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
4.0ms	(pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)

Compiler

Compiled 16594 to 11486 computations (30.8% saved)

series6.2s (19.8%)

Error

14.6b

Counts

4 → 15

Calls

4 calls:

5.8s	(-.f64 (+.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) (+.f64 (/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) 5125037576950889/18014398509481984))) (+.f64 (/.f64 (/.f64 4780145094533421/4503599627370496 (exp.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 5)) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (+.f64 2295300911148351/9007199254740992 (/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))))))
102.0ms	(/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
101.0ms	(/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
48.0ms	(pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)

Compiler

Compiled 8565 to 6543 computations (23.6% saved)

simplify206.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4924	15011
1	4924	15011

prune1.6s (5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	163	3	166
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	164	8	172

Error

14.6b

Counts

172 → 8

Compiler

Compiled 19199 to 13348 computations (30.5% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.2b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
0.5b	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 4780145094533421/4503599627370496))))))))
14.6b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite2.5s (7.9%)

Algorithm

1×	rewrite-expression-head

Error

14.5b

Rules

279×	`times-frac_binary64_2130`
153×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
138×	`sqrt-prod_binary64_2140`
27×	`associate-/l*_binary64_2069`
18×	`associate-/r/_binary64_2070`
17×	`add-exp-log_binary64_2162`
16×	`sqrt-div_binary64_2141`
11×	`add-cbrt-cube_binary64_2160`
10×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
9×	`div-inv_binary64_2121` `associate-/r*_binary64_2068`
8×	`add-log-exp_binary64_2163` `div-exp_binary64_2175`
5×	`pow1_binary64_2185`
4×	`cbrt-undiv_binary64_2158`
2×	`associate-+r+_binary64_2056` `1-exp_binary64_2168` `rec-exp_binary64_2174` `frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `cancel-sign-sub-inv_binary64_2090` `sum-log_binary64_2215` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `+-commutative_binary64_2054` `associate-/l/_binary64_2071` `inv-pow_binary64_2209` `pow-flip_binary64_2198`

Counts

4 → 251

Calls

4 calls:

18.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
5.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
4.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
4.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 4780145094533421/4503599627370496))))))))

Compiler

Compiled 24164 to 18348 computations (24.1% saved)

series1.6s (5.2%)

Error

14.6b

Counts

4 → 12

Calls

4 calls:

983.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
487.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 4780145094533421/4503599627370496))))))))
59.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
57.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 2706 to 2144 computations (20.8% saved)

simplify172.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

263 → 263

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4933	11614
1	4933	11614

prune2.1s (6.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	263	0	263
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	263	8	271

Error

14.6b

Counts

271 → 8

Compiler

Compiled 22062 to 16596 computations (24.8% saved)

regimes1.9s (6%)

Accuracy

Total 0.1b remaining (0.6%)

Threshold costs 0.1b (0.6%)

Compiler

Compiled 38252 to 29323 computations (23.3% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	85	499
1	85	499

end0.0ms (0%)

sample7.0s (22.3%)

Algorithm

1×

intervals

Results

1.0s

8000×

body

128

valid

Compiler

Compiled 9523 to 7298 computations (23.4% saved)

Details

analyze3.0ms (0%)

sample48.0ms (0.2%)

simplify155.0ms (0.5%)

prune9.0ms (0%)

localize27.0ms (0.1%)

rewrite526.0ms (1.7%)

series1.7s (5.4%)

simplify105.0ms (0.3%)

prune541.0ms (1.7%)

localize250.0ms (0.8%)

rewrite677.0ms (2.2%)

series1.8s (5.9%)

simplify109.0ms (0.3%)

prune548.0ms (1.8%)

localize31.0ms (0.1%)

rewrite1.5s (4.7%)

series6.2s (19.8%)

simplify206.0ms (0.7%)

prune1.6s (5%)

localize28.0ms (0.1%)

rewrite2.5s (7.9%)

series1.6s (5.2%)

simplify172.0ms (0.5%)

prune2.1s (6.8%)

regimes1.9s (6%)

bsearch0.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample7.0s (22.3%)

Profiling