Details

analyze130.0ms (1.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	63×	body	1024	valid
4.0ms	138×	body	128	valid
3.0ms	32×	body	512	valid
1.0ms	18×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (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

29.2b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

1.9b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite69.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

28.4b

Rules

11×	`add-sqr-sqrt_binary64_2146` `sqrt-prod_binary64_2140`
10×	`*-un-lft-identity_binary64_2124`
6×	`cancel-sign-sub-inv_binary64_2090`
4×	`difference-of-squares_binary64_2093`
3×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `distribute-lft-out--_binary64_2076`
1×	`diff-log_binary64_2216` `pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `distribute-lft-out_binary64_2075`

Counts

1 → 24

Calls

1 calls:

9.0ms

(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 364 to 225 computations (38.2% saved)

series35.0ms (0.5%)

Error

28.4b

Counts

1 → 3

Calls

1 calls:

32.0ms

(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 109 to 91 computations (16.5% saved)

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5280	397

prune35.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	2	28

Error

0.1b

Counts

28 → 2

Compiler

Compiled 335 to 218 computations (34.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

rewrite100.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`*-un-lft-identity_binary64_2124`
20×	`sqrt-prod_binary64_2140` `distribute-lft-out_binary64_2075`
18×	`times-frac_binary64_2130`
13×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
6×	`add-exp-log_binary64_2162` `associate-/r*_binary64_2068`
4×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
3×	`pow1_binary64_2185` `associate-/l*_binary64_2069`
2×	`div-exp_binary64_2175` `flip3-+_binary64_2127` `associate-/r/_binary64_2070` `flip-+_binary64_2098`
1×	`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` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

2 → 59

Calls

2 calls:

10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
8.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 1029 to 749 computations (27.2% saved)

series33.0ms (0.5%)

Error

0.1b

Counts

2 → 6

Calls

2 calls:

17.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
14.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 104 to 102 computations (1.9% saved)

simplify113.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4780	1037
1	4780	1037

prune67.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	60	5	65
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	7	67

Error

0.0b

Counts

67 → 7

Compiler

Compiled 1014 to 741 computations (26.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.3b	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))

rewrite1.0s (14.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

310×	`*-un-lft-identity_binary64_2124`
290×	`sqrt-prod_binary64_2140`
172×	`times-frac_binary64_2130`
144×	`add-sqr-sqrt_binary64_2146`
116×	`distribute-lft-out_binary64_2075`
88×	`add-cube-cbrt_binary64_2159`
43×	`swap-sqr_binary64_2091`
31×	`pow1_binary64_2185`
27×	`sqrt-pow1_binary64_2142` `associate-l_binary64_2065` `associate-r_binary64_2064`
16×	`unswap-sqr_binary64_2092`
14×	`add-exp-log_binary64_2162` `associate-/r/_binary64_2070`
12×	`associate-/r*_binary64_2068`
11×	`inv-pow_binary64_2209` `pow-flip_binary64_2198`
10×	`add-cbrt-cube_binary64_2160`
9×	`pow1/2_binary64_2204` `pow-prod-up_binary64_2194` `rem-sqrt-square_binary64_2137` `div-inv_binary64_2121`
7×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
6×	`associate-/l*_binary64_2069`
5×	`pow-prod-down_binary64_2195` `sqrt-div_binary64_2141` `pow-sqr_binary64_2097`
4×	`add-log-exp_binary64_2163` `div-exp_binary64_2175`
3×	`sqr-abs_binary64_2139`
2×	`1-exp_binary64_2168` `rec-exp_binary64_2174` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `sqrt-unprod_binary64_2144` `rem-square-sqrt_binary64_2136` `frac-times_binary64_2134` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `*-commutative_binary64_2055`

Counts

4 → 281

Calls

4 calls:

47.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
18.0ms	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
15.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 9177 to 6931 computations (24.5% saved)

series142.0ms (2.1%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

43.0ms	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
40.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
26.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
21.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))

Compiler

Compiled 545 to 477 computations (12.5% saved)

simplify151.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5824	5963

prune569.0ms (8.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	288	5	293
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	291	9	300

Error

0.0b

Counts

300 → 9

Compiler

Compiled 7006 to 5181 computations (26% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.1b	(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 4))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.4b	(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 4)

rewrite413.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

158×	`sqrt-prod_binary64_2140`
142×	`*-un-lft-identity_binary64_2124`
76×	`times-frac_binary64_2130`
59×	`add-sqr-sqrt_binary64_2146`
58×	`unpow-prod-down_binary64_2203`
52×	`distribute-lft-out_binary64_2075`
49×	`add-cube-cbrt_binary64_2159`
10×	`pow1_binary64_2185`
9×	`add-exp-log_binary64_2162` `rem-sqrt-square_binary64_2137`
8×	`associate-/r/_binary64_2070`
7×	`sqrt-pow1_binary64_2142`
6×	`add-cbrt-cube_binary64_2160` `associate-/r*_binary64_2068`
5×	`pow-pow_binary64_2196`
4×	`div-inv_binary64_2121` `flip3-+_binary64_2127` `flip-+_binary64_2098` `add-log-exp_binary64_2163`
3×	`pow-unpow_binary64_2201` `pow1/2_binary64_2204` `inv-pow_binary64_2209` `pow-flip_binary64_2198` `sqr-pow_binary64_2096` `associate-/l*_binary64_2069`
2×	`div-exp_binary64_2175`
1×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `sqrt-pow2_binary64_2143` `1-exp_binary64_2168` `rec-exp_binary64_2174` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `sqrt-div_binary64_2141`

Counts

4 → 176

Calls

4 calls:

19.0ms	(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 4))
14.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
14.0ms	(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 4)
11.0ms	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))

Compiler

Compiled 4163 to 3327 computations (20.1% saved)

series117.0ms (1.7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

41.0ms	(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 4)
29.0ms	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
23.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
18.0ms	(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 4))

Compiler

Compiled 338 to 332 computations (1.8% saved)

simplify111.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4873	3775
1	4873	3775

prune266.0ms (3.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	185	3	188
Fresh	2	5	7
Picked	1	0	1
Done	1	0	1
Total	189	8	197

Error

0.0b

Counts

197 → 8

Compiler

Compiled 3327 to 2586 computations (22.3% saved)

regimes394.0ms (5.8%)

Accuracy

Total 0.2b remaining (98.9%)

Threshold costs 0.2b (98.9%)

Compiler

Compiled 3935 to 3123 computations (20.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	27
1	15	27

end0.0ms (0%)

sample2.9s (43%)

Algorithm

1×

intervals

Results

264.0ms	1999×	body	1024	valid
151.0ms	4295×	body	128	valid
95.0ms	981×	body	512	valid
39.0ms	223×	body	2048	valid
35.0ms	502×	body	256	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 1940 to 1541 computations (20.6% saved)

Details

analyze130.0ms (1.9%)

sample24.0ms (0.4%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite69.0ms (1%)

series35.0ms (0.5%)

simplify70.0ms (1%)

prune35.0ms (0.5%)

localize6.0ms (0.1%)

rewrite100.0ms (1.5%)

series33.0ms (0.5%)

simplify113.0ms (1.7%)

prune67.0ms (1%)

localize8.0ms (0.1%)

rewrite1.0s (14.7%)

series142.0ms (2.1%)

simplify151.0ms (2.2%)

prune569.0ms (8.4%)

localize10.0ms (0.1%)

rewrite413.0ms (6.1%)

series117.0ms (1.7%)

simplify111.0ms (1.6%)

prune266.0ms (3.9%)

regimes394.0ms (5.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.9s (43%)

Profiling