Details

analyze93.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample42.0ms (1.6%)

Algorithm

1×

intervals

Results

21.0ms	128×	body	1024	valid
4.0ms	71×	body	512	valid
3.0ms	256×	pre	128	true
2.0ms	14×	body	2048	valid
1.0ms	25×	body	256	valid
0.0ms	18×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	6
1	9	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

58.2b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.7b	(-.f64 (exp.f64 x) 1)

rewrite23.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

58.1b

Rules

6×	`add-sqr-sqrt_binary64_2146`
5×	`*-un-lft-identity_binary64_2124`
3×	`add-log-exp_binary64_2163` `cancel-sign-sub-inv_binary64_2090`
2×	`add-cube-cbrt_binary64_2159` `difference-of-squares_binary64_2093`
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` `difference-of-sqr-1_binary64_2094` `distribute-lft-out--_binary64_2076`

Counts

1 → 18

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) 1)

Compiler

Compiled 185 to 119 computations (35.7% saved)

series27.0ms (1%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

19.0ms

(-.f64 (exp.f64 x) 1)

Compiler

Compiled 104 to 86 computations (17.3% saved)

simplify80.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4922	232
1	4922	232

prune18.0ms (0.7%)

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

0.0b

Counts

25 → 3

Compiler

Compiled 210 to 132 computations (37.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (.f64 x 1/24))))))
0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.3b	(*.f64 x 1/24)
0.3b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))

rewrite110.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 75

Calls

4 calls:

9.0ms	(.f64 x (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (.f64 x 1/24))))))
6.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
4.0ms	(*.f64 x 1/24)
3.0ms	(+.f64 1/6 (*.f64 x 1/24))

Compiler

Compiled 1688 to 1175 computations (30.4% saved)

series150.0ms (5.9%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

51.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
36.0ms	(.f64 x (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (.f64 x 1/24))))))
30.0ms	(+.f64 1/6 (*.f64 x 1/24))
19.0ms	(*.f64 x 1/24)

Compiler

Compiled 722 to 532 computations (26.3% saved)

simplify76.0ms (3%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4868	1156
1	4868	1156

prune87.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	95	3	98

Error

0.0b

Counts

98 → 3

Compiler

Compiled 1779 to 1233 computations (30.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.6b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
4.7b	(-.f64 (exp.f64 x) 1)

rewrite45.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_2146`
12×	`*-un-lft-identity_binary64_2124`
8×	`log-pow_binary64_2213`
7×	`exp-prod_binary64_2176` `log-prod_binary64_2210`
6×	`add-cube-cbrt_binary64_2159` `cancel-sign-sub-inv_binary64_2090`
4×	`add-log-exp_binary64_2163` `difference-of-squares_binary64_2093` `exp-sum_binary64_2170`
3×	`pow1_binary64_2185`
2×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `sub-neg_binary64_2117` `difference-of-sqr-1_binary64_2094` `distribute-lft-out--_binary64_2076`
1×	`diff-log_binary64_2216` `flip3--_binary64_2128` `flip--_binary64_2099` `exp-diff_binary64_2172` `log-div_binary64_2211` `rem-log-exp_binary64_2165`

Counts

2 → 42

Calls

2 calls:

6.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
5.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 516 to 359 computations (30.4% saved)

series102.0ms (4%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

77.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
18.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 248 to 209 computations (15.7% saved)

simplify114.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4899	492
1	4899	492

prune29.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	54	3	57

Error

0.0b

Counts

57 → 3

Compiler

Compiled 483 to 314 computations (35% saved)

regimes110.0ms (4.3%)

Accuracy

Total 0.4b remaining (95.6%)

Threshold costs 0.4b (95.6%)

Compiler

Compiled 895 to 728 computations (18.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	28
1	23	28

end0.0ms (0%)

sample1.4s (55.6%)

Algorithm

1×

intervals

Results

495.0ms	3971×	body	1024	valid
144.0ms	2069×	body	512	valid
87.0ms	8000×	pre	128	true
61.0ms	417×	body	2048	valid
37.0ms	977×	body	256	valid
11.0ms	566×	body	128	valid

Compiler

Compiled 253 to 205 computations (19% saved)

Details

analyze93.0ms (3.6%)

sample42.0ms (1.6%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite23.0ms (0.9%)

series27.0ms (1%)

simplify80.0ms (3.1%)

prune18.0ms (0.7%)

localize9.0ms (0.3%)

rewrite110.0ms (4.3%)

series150.0ms (5.9%)

simplify76.0ms (3%)

prune87.0ms (3.4%)

localize5.0ms (0.2%)

rewrite45.0ms (1.8%)

series102.0ms (4%)

simplify114.0ms (4.5%)

prune29.0ms (1.2%)

regimes110.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (55.6%)

Profiling