Details

analyze213.0ms (2.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4809	13
1	4809	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample130.0ms (1.6%)

Algorithm

1×

intervals

Results

92.0ms	132×	body	2048	valid
21.0ms	71×	body	1024	valid
5.0ms	33×	body	512	valid
1.0ms	14×	body	256	valid
0.0ms	6×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4809	13
1	4809	13

prune3.0ms (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

30.7b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
3.5b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite75.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

30.6b

Rules

11×	`*-un-lft-identity_binary64_1783`
9×	`add-log-exp_binary64_1822`
6×	`add-sqr-sqrt_binary64_1805` `cancel-sign-sub-inv_binary64_1749`
4×	`add-cube-cbrt_binary64_1818` `frac-add_binary64_1791` `associate-+l+_binary64_1716`
3×	`flip3--_binary64_1787` `flip--_binary64_1758`
2×	`diff-log_binary64_1875` `sum-log_binary64_1874` `pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `neg-sub0_binary64_1778` `exp-diff_binary64_1831` `exp-neg_binary64_1830` `distribute-lft-out_binary64_1734` `distribute-lft-out--_binary64_1735` `sub-neg_binary64_1776`
1×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-+l-_binary64_1718` `+-commutative_binary64_1713` `difference-of-squares_binary64_1752`

Counts

2 → 39

Calls

2 calls:

10.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
4.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 663 to 349 computations (47.4% saved)

series89.0ms (1.1%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

37.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
28.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 283 to 221 computations (21.9% saved)

simplify103.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4844	726
1	4844	726

prune45.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	2	52

Error

0.0b

Counts

52 → 2

Compiler

Compiled 666 to 336 computations (49.5% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
0.0b	(*.f64 1/20160 (pow.f64 x 8))
0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite219.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64_1805`
21×	`associate-r_binary64_1723`
19×	`add-exp-log_binary64_1821`
13×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
12×	`unpow-prod-down_binary64_1862`
10×	`add-cbrt-cube_binary64_1819`
9×	`prod-exp_binary64_1832` `add-log-exp_binary64_1822` `unswap-sqr_binary64_1751` `associate-l_binary64_1724`
6×	`sqr-pow_binary64_1755`
4×	`pow1_binary64_1844`
3×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `cbrt-unprod_binary64_1816` `*-commutative_binary64_1714` `sum-log_binary64_1874`
1×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-+r+_binary64_1715` `+-commutative_binary64_1713`

Counts

4 → 88

Calls

4 calls:

11.0ms	(*.f64 1/12 (pow.f64 x 4))
10.0ms	(*.f64 1/360 (pow.f64 x 6))
8.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
6.0ms	(*.f64 1/20160 (pow.f64 x 8))

Compiler

Compiled 2504 to 1849 computations (26.2% saved)

series391.0ms (4.8%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

218.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
53.0ms	(*.f64 1/20160 (pow.f64 x 8))
52.0ms	(*.f64 1/360 (pow.f64 x 6))
41.0ms	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 916 to 738 computations (19.4% saved)

simplify93.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4914	1288
1	4914	1288

prune162.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	104	4	108

Error

Counts

108 → 4

Compiler

Compiled 2685 to 1974 computations (26.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))
3.1b	(exp.f64 (log.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))
29.2b	(log.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))

rewrite206.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64_1805`
15×	`add-exp-log_binary64_1821`
14×	`associate-r_binary64_1723`
13×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
8×	`add-cbrt-cube_binary64_1819` `unpow-prod-down_binary64_1862`
6×	`pow1_binary64_1844` `log-prod_binary64_1869` `prod-exp_binary64_1832` `unswap-sqr_binary64_1751` `associate-l_binary64_1724`
4×	`log-div_binary64_1870` `add-log-exp_binary64_1822` `exp-prod_binary64_1835` `sqr-pow_binary64_1755`
3×	`exp-sum_binary64_1829`
2×	`log-pow_binary64_1872` `flip3-+_binary64_1786` `flip-+_binary64_1757` `exp-diff_binary64_1831` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `cbrt-unprod_binary64_1816` `*-commutative_binary64_1714`
1×	`rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823`

Counts

4 → 81

Calls

4 calls:

10.0ms	(exp.f64 (log.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))
8.0ms	(log.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
6.0ms	(*.f64 1/12 (pow.f64 x 4))
6.0ms	(*.f64 1/360 (pow.f64 x 6))

Compiler

Compiled 2733 to 2054 computations (24.8% saved)

series608.0ms (7.5%)

Error

Counts

4 → 21

Calls

4 calls:

423.0ms	(exp.f64 (log.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))
70.0ms	(log.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
46.0ms	(*.f64 1/360 (pow.f64 x 6))
43.0ms	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 1293 to 1104 computations (14.6% saved)

simplify86.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5609	1823

prune175.0ms (2.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	102	4	106

Error

Counts

106 → 4

Compiler

Compiled 2896 to 2159 computations (25.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))
0.1b	(pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3)
21.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3))

rewrite310.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-sqr-sqrt_binary64_1805`
16×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
15×	`add-exp-log_binary64_1821`
14×	`unpow-prod-down_binary64_1862` `associate-r_binary64_1723`
12×	`cbrt-prod_binary64_1814`
9×	`add-cbrt-cube_binary64_1819`
6×	`cube-prod_binary64_1811` `sqr-pow_binary64_1755` `prod-exp_binary64_1832` `unswap-sqr_binary64_1751` `associate-l_binary64_1724`
5×	`pow1_binary64_1844`
4×	`add-log-exp_binary64_1822` `cube-div_binary64_1812`
3×	`pow-unpow_binary64_1860` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
2×	`flip3-+_binary64_1786` `cbrt-div_binary64_1815` `flip-+_binary64_1757` `unpow3_binary64_1849` `cube-mult_binary64_1813` `cbrt-unprod_binary64_1816` `*-commutative_binary64_1714`
1×	`pow1/3_binary64_1865` `rem-cbrt-cube_binary64_1807` `pow-pow_binary64_1855` `rem-cube-cbrt_binary64_1806`

Counts

4 → 98

Calls

4 calls:

18.0ms	(pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3)
16.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3))
11.0ms	(*.f64 1/12 (pow.f64 x 4))
10.0ms	(*.f64 1/360 (pow.f64 x 6))

Compiler

Compiled 3585 to 2714 computations (24.3% saved)

series323.0ms (4%)

Error

Counts

4 → 21

Calls

4 calls:

178.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3))
46.0ms	(*.f64 1/360 (pow.f64 x 6))
40.0ms	(pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3)
36.0ms	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 1017 to 847 computations (16.7% saved)

simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5101	2391

prune238.0ms (2.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	119	4	123

Error

Counts

123 → 4

Compiler

Compiled 3488 to 2622 computations (24.8% saved)

regimes97.0ms (1.2%)

Accuracy

Total 0.6b remaining (98.3%)

Threshold costs 0.6b (98.3%)

Compiler

Compiled 971 to 728 computations (25% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	31
1	24	31

end0.0ms (0%)

sample4.3s (52.7%)

Algorithm

1×

intervals

Results

2.6s	4177×	body	2048	valid
554.0ms	1994×	body	1024	valid
144.0ms	968×	body	512	valid
42.0ms	496×	body	256	valid
16.0ms	365×	body	128	valid

Compiler

Compiled 484 to 367 computations (24.2% saved)

Details

analyze213.0ms (2.6%)

sample130.0ms (1.6%)

simplify99.0ms (1.2%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite75.0ms (0.9%)

series89.0ms (1.1%)

simplify103.0ms (1.3%)

prune45.0ms (0.6%)

localize31.0ms (0.4%)

rewrite219.0ms (2.7%)

series391.0ms (4.8%)

simplify93.0ms (1.1%)

prune162.0ms (2%)

localize17.0ms (0.2%)

rewrite206.0ms (2.5%)

series608.0ms (7.5%)

simplify86.0ms (1.1%)

prune175.0ms (2.2%)

localize20.0ms (0.2%)

rewrite310.0ms (3.8%)

series323.0ms (4%)

simplify108.0ms (1.3%)

prune238.0ms (2.9%)

regimes97.0ms (1.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.3s (52.7%)

Profiling