Details

analyze945.0ms (15.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample39.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
9.0ms	119×	body	128	invalid
3.0ms	63×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify207.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	5019	19

prune4.0ms (0.1%)

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

Merged error: 2.6b

Counts

2 → 2

Compiler

Compiled 41 to 34 computations (17.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(+.f64 1 (*.f64 10 k))
0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
2.6b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64_2162`
14×	`add-sqr-sqrt_binary64_2146`
11×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
9×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`associate-r_binary64_2064`
6×	`prod-exp_binary64_2173`
4×	`unpow-prod-down_binary64_2203` `sum-log_binary64_2215` `pow1_binary64_2185` `div-exp_binary64_2175`
3×	`unswap-sqr_binary64_2092` `associate-/r_binary64_2068` `associate-l*_binary64_2065` `flip3-+_binary64_2127` `flip-+_binary64_2098` `times-frac_binary64_2130`
2×	`cbrt-undiv_binary64_2158` `associate-/r/_binary64_2070` `pow-exp_binary64_2192` `sqr-pow_binary64_2096` `+-commutative_binary64_2054` `pow-to-exp_binary64_2193` `cbrt-unprod_binary64_2157`
1×	`clear-num_binary64_2123` `associate-/l_binary64_2069` `-commutative_binary64_2055` `associate-+l+_binary64_2057` `div-inv_binary64_2121` `frac-2neg_binary64_2135`

Counts

4 → 74

Calls

4 calls:

9.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
5.0ms	(*.f64 a (pow.f64 k m))
5.0ms	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
3.0ms	(+.f64 1 (*.f64 10 k))

series221.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

131.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
57.0ms	(*.f64 a (pow.f64 k m))
20.0ms	(+.f64 1 (*.f64 10 k))
13.0ms	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))

simplify115.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4918	1344
1	4918	1344

prune89.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	84	4	88

Merged error: 2.6b

Counts

88 → 4

Compiler

Compiled 1764 to 913 computations (48.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
0.0b	(*.f64 k (+.f64 k 10))
0.2b	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
2.6b	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-exp-log_binary64_2162`
36×	`times-frac_binary64_2130`
26×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124` `div-exp_binary64_2175`
24×	`add-cube-cbrt_binary64_2159`
20×	`add-cbrt-cube_binary64_2160`
13×	`prod-exp_binary64_2173`
8×	`associate-/r*_binary64_2068`
7×	`cbrt-undiv_binary64_2158` `pow1_binary64_2185`
6×	`associate-/l*_binary64_2069` `add-log-exp_binary64_2163` `div-inv_binary64_2121`
5×	`1-exp_binary64_2168` `rec-exp_binary64_2174`
4×	`pow-exp_binary64_2192` `pow-to-exp_binary64_2193` `associate-r_binary64_2064`
3×	`associate-l_binary64_2065` `flip3-+_binary64_2127` `flip-+_binary64_2098` `cbrt-unprod_binary64_2157`
2×	`clear-num_binary64_2123` `associate-+r+_binary64_2056` `distribute-rgt-in_binary64_2074` `associate-*r/_binary64_2066` `associate-/l/_binary64_2071` `distribute-lft-in_binary64_2073` `frac-2neg_binary64_2135`
1×	`pow-prod-down_binary64_2195` `associate-/r/_binary64_2070` `unswap-sqr_binary64_2092` `sum-log_binary64_2215` `*-commutative_binary64_2055` `distribute-lft-out_binary64_2075` `+-commutative_binary64_2054` `pow-flip_binary64_2198` `inv-pow_binary64_2209`

Counts

4 → 123

Calls

4 calls:

8.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
8.0ms	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))
6.0ms	(*.f64 k (+.f64 k 10))
3.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

series253.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))
107.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
25.0ms	(*.f64 k (+.f64 k 10))
9.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

simplify131.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4935	2881
1	4935	2881

prune135.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	135	4	139

Merged error: 0.0b

Counts

139 → 4

Compiler

Compiled 2902 to 1744 computations (39.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.1b	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
12.4b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
12.4b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite78.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

146×	`add-sqr-sqrt_binary64_2146`
134×	`times-frac_binary64_2130`
76×	`sqrt-prod_binary64_2140` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
48×	`associate-r_binary64_2064`
45×	`unpow-prod-down_binary64_2203`
33×	`add-exp-log_binary64_2162`
24×	`associate-l_binary64_2065`
21×	`unswap-sqr_binary64_2092`
19×	`sqr-pow_binary64_2096`
18×	`add-cbrt-cube_binary64_2160`
13×	`div-exp_binary64_2175`
10×	`sqrt-div_binary64_2141`
8×	`pow1_binary64_2185` `prod-exp_binary64_2173`
7×	`associate-/l*_binary64_2069`
6×	`associate-/r/_binary64_2070` `associate-/r*_binary64_2068`
5×	`cbrt-undiv_binary64_2158` `flip3-+_binary64_2127` `flip-+_binary64_2098`
4×	`add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157`
3×	`pow-exp_binary64_2192` `pow-to-exp_binary64_2193` `div-inv_binary64_2121`
2×	`sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `pow1/2_binary64_2204`
1×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `-commutative_binary64_2055` `associate-l/_binary64_2067` `associate-*r/_binary64_2066` `frac-times_binary64_2134` `frac-2neg_binary64_2135`

Counts

4 → 218

Calls

4 calls:

36.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
7.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
5.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series239.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
71.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
19.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
13.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify174.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4923	7913
1	4923	7913

prune441.0ms (7.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	230	4	234

Merged error: 0.0b

Counts

234 → 4

Compiler

Compiled 8012 to 5242 computations (34.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 k (neg.f64 m)) a)
0.0b	(+.f64 (/.f64 k a) (/.f64 10 a))
0.1b	(*.f64 (/.f64 k (pow.f64 k m)) (+.f64 (/.f64 k a) (/.f64 10 a)))
0.2b	(/.f64 1 (+.f64 (/.f64 (pow.f64 k (neg.f64 m)) a) (*.f64 (/.f64 k (pow.f64 k m)) (+.f64 (/.f64 k a) (/.f64 10 a)))))

rewrite77.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`times-frac_binary64_2130`
63×	`*-un-lft-identity_binary64_2124`
57×	`add-sqr-sqrt_binary64_2146`
47×	`add-cube-cbrt_binary64_2159`
25×	`associate-l_binary64_2065`
23×	`add-exp-log_binary64_2162`
22×	`unpow-prod-down_binary64_2203`
13×	`add-cbrt-cube_binary64_2160`
12×	`frac-add_binary64_2132`
10×	`associate-/l*_binary64_2069`
9×	`associate-/r/_binary64_2070`
8×	`distribute-lft-out_binary64_2075` `sqr-pow_binary64_2096` `associate-r_binary64_2064` `div-exp_binary64_2175`
7×	`pow1_binary64_2185` `div-inv_binary64_2121`
6×	`associate-/r_binary64_2068` `add-log-exp_binary64_2163` `associate-r/_binary64_2066` `flip3-+_binary64_2127` `frac-times_binary64_2134` `flip-+_binary64_2098`
4×	`unswap-sqr_binary64_2092` `prod-exp_binary64_2173`
3×	`cbrt-undiv_binary64_2158`
2×	`clear-num_binary64_2123` `pow-exp_binary64_2192` `associate-*l/_binary64_2067` `distribute-rgt-out_binary64_2077` `pow-to-exp_binary64_2193` `associate-/l/_binary64_2071` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135`
1×	`pow-prod-down_binary64_2195` `pow-neg_binary64_2197` `sum-log_binary64_2215` `*-commutative_binary64_2055` `pow-sub_binary64_2200` `+-commutative_binary64_2054` `distribute-rgt-in_binary64_2074` `pow-flip_binary64_2198` `1-exp_binary64_2168` `inv-pow_binary64_2209` `neg-sub0_binary64_2119` `distribute-lft-in_binary64_2073` `rec-exp_binary64_2174`

Counts

4 → 165

Calls

4 calls:

25.0ms	(*.f64 (/.f64 k (pow.f64 k m)) (+.f64 (/.f64 k a) (/.f64 10 a)))
13.0ms	(+.f64 (/.f64 k a) (/.f64 10 a))
13.0ms	(/.f64 1 (+.f64 (/.f64 (pow.f64 k (neg.f64 m)) a) (*.f64 (/.f64 k (pow.f64 k m)) (+.f64 (/.f64 k a) (/.f64 10 a)))))
5.0ms	(/.f64 (pow.f64 k (neg.f64 m)) a)

series454.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

250.0ms	(/.f64 1 (+.f64 (/.f64 (pow.f64 k (neg.f64 m)) a) (*.f64 (/.f64 k (pow.f64 k m)) (+.f64 (/.f64 k a) (/.f64 10 a)))))
122.0ms	(*.f64 (/.f64 k (pow.f64 k m)) (+.f64 (/.f64 k a) (/.f64 10 a)))
62.0ms	(/.f64 (pow.f64 k (neg.f64 m)) a)
19.0ms	(+.f64 (/.f64 k a) (/.f64 10 a))

simplify123.0ms (2%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4958	4357
1	4958	4357

prune207.0ms (3.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	175	6	181

Merged error: 0.0b

Counts

181 → 6

Compiler

Compiled 5485 to 2064 computations (62.4% saved)

regimes248.0ms (4.1%)

Compiler: Compiled 2840 to 2054 computations (27.7% saved)

bsearch25.0ms (0.4%)

Steps

Iters	Range		Point
6	1.9778090048458194e+147	9.160323535196607e+147	4.1034082139038655e+147

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	55
1	37	55

end0.0ms (0%)

sample1.7s (28.6%)

Algorithm

1×

intervals

Results

482.0ms	8000×	body	128	valid
265.0ms	3232×	body	128	invalid
84.0ms	1962×	body	128	nan

Compiler

Compiled 754 to 544 computations (27.9% saved)

Details

analyze945.0ms (15.6%)

sample39.0ms (0.6%)

simplify207.0ms (3.4%)

prune4.0ms (0.1%)

localize14.0ms (0.2%)

rewrite28.0ms (0.5%)

series221.0ms (3.6%)

simplify115.0ms (1.9%)

prune89.0ms (1.5%)

localize10.0ms (0.2%)

rewrite35.0ms (0.6%)

series253.0ms (4.2%)

simplify131.0ms (2.2%)

prune135.0ms (2.2%)

localize11.0ms (0.2%)

rewrite78.0ms (1.3%)

series239.0ms (3.9%)

simplify174.0ms (2.9%)

prune441.0ms (7.3%)

localize14.0ms (0.2%)

rewrite77.0ms (1.3%)

series454.0ms (7.5%)

simplify123.0ms (2%)

prune207.0ms (3.4%)

regimes248.0ms (4.1%)

bsearch25.0ms (0.4%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (28.6%)

Profiling