Details

analyze160.0ms (3.9%)

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)

sample29.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	80×	body	1024	valid
4.0ms	41×	body	512	valid
2.0ms	105×	body	128	valid
2.0ms	11×	body	2048	valid
1.0ms	19×	body	256	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify14.0ms (0.3%)

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

38.4b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
3.6b	(-.f64 (exp.f64 x) 1)

rewrite110.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

37.8b

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 754 to 428 computations (43.2% saved)

series92.0ms (2.2%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

54.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
25.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 230 to 186 computations (19.1% saved)

simplify60.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4961	1076
1	4961	1076

prune53.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	3	77

Error

0.0b

Counts

77 → 3

Compiler

Compiled 653 to 379 computations (42% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite53.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-sqr-sqrt_binary64_1805`
6×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `associate-l_binary64_1724` `associate-r*_binary64_1723`
2×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `-commutative_binary64_1714` `associate-r/_binary64_1725`
1×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `flip3-+_binary64_1786` `flip-+_binary64_1757`

Counts

2 → 40

Calls

2 calls:

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

Compiler

Compiled 562 to 435 computations (22.6% saved)

series99.0ms (2.4%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

70.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
24.0ms	(*.f64 x 1/6)

Compiler

Compiled 171 to 154 computations (9.9% saved)

simplify82.0ms (2%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4923	458
1	4923	458

prune41.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

0.0b

Counts

52 → 3

Compiler

Compiled 531 to 413 computations (22.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3)) x)
0.0b	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
0.1b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
3.6b	(-.f64 (exp.f64 x) 1)

rewrite215.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

103×	`add-sqr-sqrt_binary64_1805`
100×	`cbrt-prod_binary64_1814`
90×	`*-un-lft-identity_binary64_1783`
69×	`times-frac_binary64_1789`
51×	`add-cube-cbrt_binary64_1818`
42×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
26×	`difference-of-squares_binary64_1752`
23×	`associate-/l*_binary64_1728`
13×	`difference-of-sqr-1_binary64_1753` `distribute-lft-out--_binary64_1735`
7×	`add-exp-log_binary64_1821`
6×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `cube-div_binary64_1812` `unpow3_binary64_1849` `cube-mult_binary64_1813` `sqr-pow_binary64_1755`
5×	`pow1_binary64_1844`
4×	`flip3--_binary64_1787` `flip--_binary64_1758` `cbrt-div_binary64_1815`
3×	`cancel-sign-sub-inv_binary64_1749` `pow-unpow_binary64_1860` `associate-/r*_binary64_1727`
2×	`associate-/l/_binary64_1730`
1×	`diff-log_binary64_1875` `sub-neg_binary64_1776` `pow1/3_binary64_1865` `rem-cbrt-cube_binary64_1807` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780`

Counts

4 → 191

Calls

4 calls:

15.0ms	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3)) x)
7.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
6.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
5.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 2515 to 1700 computations (32.4% saved)

series193.0ms (4.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

73.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
51.0ms	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3)) x)
27.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
26.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 545 to 444 computations (18.5% saved)

simplify84.0ms (2%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5020	3444

prune117.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	215	3	218

Error

0.0b

Counts

218 → 3

Compiler

Compiled 1534 to 996 computations (35.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) 3)
0.0b	(pow.f64 (+.f64 (exp.f64 x) 1) 3)
0.1b	(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) 3) (pow.f64 (+.f64 (exp.f64 x) 1) 3)))
3.6b	(+.f64 -1 (pow.f64 (exp.f64 2) x))

rewrite474.0ms (11.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

217×	`*-un-lft-identity_binary64_1783`
202×	`cbrt-prod_binary64_1814`
196×	`times-frac_binary64_1789`
120×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
95×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805`
61×	`distribute-lft-out_binary64_1734`
30×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `sqr-pow_binary64_1755`
6×	`add-log-exp_binary64_1822` `pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `cube-div_binary64_1812` `pow-unpow_binary64_1860`
4×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
2×	`associate-/r/_binary64_1729` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806`
1×	`sum-log_binary64_1874` `+-commutative_binary64_1713` `pow1/3_binary64_1865` `cbrt-div_binary64_1815` `div-inv_binary64_1780`

Counts

4 → 277

Calls

4 calls:

24.0ms	(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) 3) (pow.f64 (+.f64 (exp.f64 x) 1) 3)))
7.0ms	(pow.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) 3)
6.0ms	(+.f64 -1 (pow.f64 (exp.f64 2) x))
6.0ms	(pow.f64 (+.f64 (exp.f64 x) 1) 3)

Compiler

Compiled 5031 to 4051 computations (19.5% saved)

series514.0ms (12.5%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

168.0ms	(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) 3) (pow.f64 (+.f64 (exp.f64 x) 1) 3)))
162.0ms	(pow.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) 3)
80.0ms	(+.f64 -1 (pow.f64 (exp.f64 2) x))
64.0ms	(pow.f64 (+.f64 (exp.f64 x) 1) 3)

Compiler

Compiled 1453 to 1277 computations (12.1% saved)

simplify143.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

301 → 301

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4969	9473
1	4969	9473

prune184.0ms (4.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	300	1	301
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	301	3	304

Error

0.0b

Counts

304 → 3

Compiler

Compiled 2525 to 1972 computations (21.9% saved)

regimes279.0ms (6.8%)

Accuracy

Total 0.2b remaining (80.2%)

Threshold costs 0.2b (80.2%)

Compiler

Compiled 1919 to 1587 computations (17.3% saved)

bsearch23.0ms (0.6%)

Steps

Iters	Range		Point
8	-0.004558602385940285	-2.192317973395187e-06	-0.00015127077125242047

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	51
1	35	51

end2.0ms (0.1%)

Compiler: Compiled 33 to 28 computations (15.2% saved)

sample1.1s (25.8%)

Algorithm

1×

intervals

Results

419.0ms	2721×	body	1024	valid
113.0ms	1326×	body	512	valid
78.0ms	3019×	body	128	valid
43.0ms	258×	body	2048	valid
36.0ms	676×	body	256	valid

Compiler

Compiled 119 to 102 computations (14.3% saved)

Details

analyze160.0ms (3.9%)

sample29.0ms (0.7%)

simplify14.0ms (0.3%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite110.0ms (2.7%)

series92.0ms (2.2%)

simplify60.0ms (1.5%)

prune53.0ms (1.3%)

localize6.0ms (0.1%)

rewrite53.0ms (1.3%)

series99.0ms (2.4%)

simplify82.0ms (2%)

prune41.0ms (1%)

localize7.0ms (0.2%)

rewrite215.0ms (5.2%)

series193.0ms (4.7%)

simplify84.0ms (2%)

prune117.0ms (2.8%)

localize13.0ms (0.3%)

rewrite474.0ms (11.5%)

series514.0ms (12.5%)

simplify143.0ms (3.5%)

prune184.0ms (4.5%)

regimes279.0ms (6.8%)

bsearch23.0ms (0.6%)

simplify3.0ms (0.1%)

end2.0ms (0.1%)

sample1.1s (25.8%)

Profiling