Details

analyze161.0ms (6.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	9
1	168	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample32.0ms (1.3%)

Algorithm

1×

intervals

Results

14.0ms	88×	body	1024	valid
5.0ms	53×	body	512	valid
2.0ms	86×	body	128	valid
1.0ms	8×	body	2048	valid
1.0ms	21×	body	256	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify14.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	168	9
1	168	9

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

42.4b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
3.5b	(-.f64 (exp.f64 x) 1)

rewrite77.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

42.4b

Rules

35×	`add-sqr-sqrt_binary64_1805`
30×	`*-un-lft-identity_binary64_1783`
21×	`times-frac_binary64_1789`
15×	`add-cube-cbrt_binary64_1818`
10×	`difference-of-squares_binary64_1752`
7×	`associate-/l*_binary64_1728`
5×	`difference-of-sqr-1_binary64_1753` `distribute-lft-out--_binary64_1735`
4×	`add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
3×	`cancel-sign-sub-inv_binary64_1749` `associate-/r*_binary64_1727`
2×	`pow1_binary64_1844` `flip3--_binary64_1787` `flip--_binary64_1758` `associate-/l/_binary64_1730`
1×	`diff-log_binary64_1875` `sub-neg_binary64_1776` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780`

Counts

2 → 64

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 893 to 496 computations (44.5% saved)

series82.0ms (3.4%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

43.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
23.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 242 to 192 computations (20.7% saved)

simplify59.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4961	1076
1	4961	1076

prune63.0ms (2.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	2	77

Error

Counts

77 → 2

Compiler

Compiled 908 to 497 computations (45.3% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.0b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.2b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.3b	(*.f64 x 1/24)

rewrite109.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_1805`
10×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`associate-l_binary64_1724` `associate-r_binary64_1723`
6×	`add-log-exp_binary64_1822`
4×	`associate-*r/_binary64_1725`
3×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714` `flip3-+_binary64_1786` `flip-+_binary64_1757`
2×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
1×	`sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 73

Calls

4 calls:

6.0ms	(.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 1504 to 1164 computations (22.6% saved)

series222.0ms (9.3%)

Error

Counts

4 → 20

Calls

4 calls:

82.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
58.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
41.0ms	(+.f64 1/6 (*.f64 x 1/24))
27.0ms	(*.f64 x 1/24)

Compiler

Compiled 630 to 531 computations (15.7% saved)

simplify79.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4884	1083
1	4884	1083

prune98.0ms (4.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	2	95

Error

Counts

95 → 2

Compiler

Compiled 1596 to 1237 computations (22.5% saved)

regimes94.0ms (3.9%)

Accuracy

Total 0.2b remaining (91.4%)

Threshold costs 0.2b (91.4%)

Compiler

Compiled 613 to 475 computations (22.5% saved)

bsearch21.0ms (0.9%)

Steps

Iters	Range		Point
9	-1.2911936140104143	-9.333446547037997e-08	-0.0015914265546486503

Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	46
1	40	46

end0.0ms (0%)

sample1.3s (52.6%)

Algorithm

1×

intervals

Results

410.0ms	2670×	body	1024	valid
111.0ms	1331×	body	512	valid
78.0ms	3080×	body	128	valid
44.0ms	266×	body	2048	valid
39.0ms	653×	body	256	valid

Compiler

Compiled 349 to 267 computations (23.5% saved)

Details

analyze161.0ms (6.8%)

sample32.0ms (1.3%)

simplify14.0ms (0.6%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite77.0ms (3.2%)

series82.0ms (3.4%)

simplify59.0ms (2.5%)

prune63.0ms (2.6%)

localize8.0ms (0.4%)

rewrite109.0ms (4.6%)

series222.0ms (9.3%)

simplify79.0ms (3.3%)

prune98.0ms (4.1%)

regimes94.0ms (3.9%)

bsearch21.0ms (0.9%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample1.3s (52.6%)

Profiling