Details

analyze94.0ms (2.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6
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
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Symmetry

Compiler

Compiled 5 to 5 computations (0% saved)

sample54.0ms (1.4%)

Algorithm

1×

intervals

Results

30.0ms	88×	body	1024	valid
6.0ms	37×	body	512	valid
5.0ms	10×	body	2048	valid
3.0ms	97×	body	128	valid
2.0ms	24×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

prune2.0ms (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

Error

40.3b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.4b	(log.f64 (+.f64 1 x))

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

40.3b

Rules

4×	`log-prod_binary64_2210` `*-un-lft-identity_binary64_2124`
2×	`pow1_binary64_2185` `log-div_binary64_2211` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `add-exp-log_binary64_2162`
1×	`log-pow_binary64_2213` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out_binary64_2075` `rem-log-exp_binary64_2165` `add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`

Counts

1 → 15

Calls

1 calls:

4.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 152 to 124 computations (18.4% saved)

series36.0ms (0.9%)

Error

0.1b

Counts

1 → 9

Calls

1 calls:

26.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 213 to 180 computations (15.5% saved)

simplify74.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5015	267

prune22.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Error

0.1b

Counts

25 → 3

Compiler

Compiled 231 to 167 computations (27.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)
0.0b	(+.f64 1/3 (*.f64 x -1/4))
0.1b	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
0.2b	(.f64 x (+.f64 1/3 (.f64 x -1/4)))

rewrite110.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`add-sqr-sqrt_binary64_2146`
8×	`add-log-exp_binary64_2163`
7×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
6×	`associate-r_binary64_2064`
4×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `flip3-+_binary64_2127` `associate-r/_binary64_2066` `flip-+_binary64_2098` `associate-l*_binary64_2065`
3×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
2×	`unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `sum-log_binary64_2215` `+-commutative_binary64_2054` `associate-+l+_binary64_2057`

Counts

4 → 69

Calls

4 calls:

11.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
6.0ms	(+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)
6.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
3.0ms	(+.f64 1/3 (*.f64 x -1/4))

Compiler

Compiled 1669 to 1121 computations (32.8% saved)

series175.0ms (4.4%)

Error

0.1b

Counts

4 → 22

Calls

4 calls:

55.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
41.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
35.0ms	(+.f64 1/3 (*.f64 x -1/4))
29.0ms	(+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)

Compiler

Compiled 748 to 534 computations (28.6% saved)

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4942	1313
1	4942	1313

prune86.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Error

0.1b

Counts

94 → 3

Compiler

Compiled 1760 to 1161 computations (34% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
3.1b	(log.f64 (-.f64 1 (*.f64 x x)))
5.3b	(log.f64 (-.f64 1 x))

rewrite88.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`log-prod_binary64_2210`
20×	`*-un-lft-identity_binary64_2124`
18×	`add-sqr-sqrt_binary64_2146`
10×	`pow1_binary64_2185`
9×	`difference-of-squares_binary64_2093`
8×	`log-div_binary64_2211` `add-cube-cbrt_binary64_2159`
7×	`log-pow_binary64_2213`
6×	`distribute-lft-out--_binary64_2076` `associate--r+_binary64_2060`
5×	`flip3--_binary64_2128` `flip--_binary64_2099` `add-exp-log_binary64_2162` `associate--l+_binary64_2061`
4×	`cancel-sign-sub-inv_binary64_2090`
3×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
2×	`rem-log-exp_binary64_2165` `associate--r-_binary64_2063` `associate--l-_binary64_2062`
1×	`diff-log_binary64_2216` `sub-neg_binary64_2117`

Counts

3 → 68

Calls

3 calls:

10.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 1308 to 893 computations (31.7% saved)

series145.0ms (3.6%)

Error

0.1b

Counts

3 → 22

Calls

3 calls:

56.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
42.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
29.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 729 to 600 computations (17.7% saved)

simplify89.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5075	1353

prune80.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	90	3	93

Error

0.0b

Counts

93 → 3

Compiler

Compiled 1436 to 977 computations (32% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (-.f64 1 x)))
3.1b	(log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
3.1b	(log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
5.3b	(log.f64 (-.f64 1 x))

rewrite182.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`*-un-lft-identity_binary64_2124`
28×	`log-prod_binary64_2210`
23×	`pow1_binary64_2185`
21×	`log-pow_binary64_2213` `add-sqr-sqrt_binary64_2146`
12×	`log-div_binary64_2211` `distribute-lft-out--_binary64_2076`
11×	`add-cube-cbrt_binary64_2159`
10×	`sqrt-prod_binary64_2140`
9×	`difference-of-squares_binary64_2093`
8×	`sqrt-div_binary64_2141` `distribute-lft-out_binary64_2075`
7×	`flip3--_binary64_2128` `flip--_binary64_2099` `add-exp-log_binary64_2162`
6×	`associate--r+_binary64_2060`
5×	`add-log-exp_binary64_2163`
4×	`add-cbrt-cube_binary64_2160` `cancel-sign-sub-inv_binary64_2090` `associate--l-_binary64_2062`
3×	`rem-log-exp_binary64_2165`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `diff-log_binary64_2216` `associate--r-_binary64_2063` `associate-+l-_binary64_2059` `associate-+r-_binary64_2058`
1×	`sum-log_binary64_2215` `sub-neg_binary64_2117` `associate--l+_binary64_2061`

Counts

4 → 99

Calls

4 calls:

20.0ms	(-.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (-.f64 1 x)))
4.0ms	(log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
4.0ms	(log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
3.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 2872 to 1936 computations (32.6% saved)

series232.0ms (5.8%)

Error

0.0b

Counts

4 → 25

Calls

4 calls:

67.0ms	(log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
64.0ms	(log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
40.0ms	(-.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (-.f64 1 x)))
31.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 1323 to 1058 computations (20% saved)

simplify85.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4979	2058
1	4979	2058

prune144.0ms (3.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	123	4	127

Error

0.0b

Counts

127 → 4

Compiler

Compiled 2815 to 1915 computations (32% saved)

regimes143.0ms (3.6%)

Accuracy

Total 0.1b remaining (88.4%)

Threshold costs 0.1b (88.4%)

Compiler

Compiled 1187 to 962 computations (19% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	49
1	29	49

Removed

()

end0.0ms (0%)

sample2.1s (51%)

Algorithm

1×

intervals

Results

879.0ms	2655×	body	1024	valid
216.0ms	1334×	body	512	valid
105.0ms	243×	body	2048	valid
102.0ms	3138×	body	128	valid
52.0ms	630×	body	256	valid

Compiler

Compiled 410 to 328 computations (20% saved)

Details

analyze94.0ms (2.3%)

sample54.0ms (1.4%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite22.0ms (0.6%)

series36.0ms (0.9%)

simplify74.0ms (1.8%)

prune22.0ms (0.6%)

localize9.0ms (0.2%)

rewrite110.0ms (2.7%)

series175.0ms (4.4%)

simplify64.0ms (1.6%)

prune86.0ms (2.1%)

localize8.0ms (0.2%)

rewrite88.0ms (2.2%)

series145.0ms (3.6%)

simplify89.0ms (2.2%)

prune80.0ms (2%)

localize10.0ms (0.2%)

rewrite182.0ms (4.5%)

series232.0ms (5.8%)

simplify85.0ms (2.1%)

prune144.0ms (3.6%)

regimes143.0ms (3.6%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.1s (51%)

Profiling