Details

analyze596.0ms (13.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5332	140
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample41.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms	192×	body	128	valid
7.0ms	28×	body	512	valid
6.0ms	13×	body	1024	valid
3.0ms	22×	body	256	valid
1.0ms	10×	body	128	nan
1.0ms	1×	body	2048	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	657	20
1	657	20

prune3.0ms (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

8.3b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.3b	(*.f64 x (log.f64 y))
5.5b	(log.f64 (-.f64 1 y))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_11694`
25×	`*-un-lft-identity_binary64_11672`
24×	`log-prod_binary64_11758`
14×	`add-cube-cbrt_binary64_11707`
11×	`pow1_binary64_11733`
9×	`add-log-exp_binary64_11711` `distribute-lft-in_binary64_11621` `add-exp-log_binary64_11710` `distribute-rgt-in_binary64_11622`
8×	`associate-r_binary64_11612` `add-cbrt-cube_binary64_11708`
7×	`difference-of-squares_binary64_11641`
6×	`associate-l_binary64_11613`
4×	`distribute-lft-out--_binary64_11624`
3×	`log-pow_binary64_11761` `cancel-sign-sub-inv_binary64_11638`
2×	`cbrt-unprod_binary64_11705` `flip3--_binary64_11676` `unswap-sqr_binary64_11640` `log-div_binary64_11759` `prod-exp_binary64_11721` `flip--_binary64_11647` `*-commutative_binary64_11603` `pow-prod-down_binary64_11743` `diff-log_binary64_11764`
1×	`sum-log_binary64_11763` `associate--l+_binary64_11609` `rem-log-exp_binary64_11713` `sub-neg_binary64_11665`

Counts

4 → 91

Calls

4 calls:

7.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
7.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series152.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
37.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
32.0ms	(*.f64 x (log.f64 y))
13.0ms	(log.f64 (-.f64 1 y))

simplify78.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5082	1527

prune125.0ms (2.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	7	104

Error

0.0b

Counts

104 → 7

Compiler

Compiled 2076 to 1121 computations (46% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y))
0.0b	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
0.3b	(*.f64 x (log.f64 y))
0.4b	(*.f64 y 1/3)

rewrite39.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_11694`
17×	`distribute-lft-in_binary64_11621` `distribute-rgt-in_binary64_11622`
16×	`pow1_binary64_11733`
15×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672` `add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
13×	`associate-r_binary64_11612`
12×	`cancel-sign-sub-inv_binary64_11638`
10×	`associate-l_binary64_11613`
8×	`associate--l+_binary64_11609` `sub-neg_binary64_11665`
6×	`cbrt-unprod_binary64_11705` `prod-exp_binary64_11721` `pow-prod-down_binary64_11743` `log-prod_binary64_11758`
4×	`add-log-exp_binary64_11711` `associate-r/_binary64_11614` `unswap-sqr_binary64_11640` `-commutative_binary64_11603`
2×	`flip3--_binary64_11676` `flip--_binary64_11647`
1×	`log-pow_binary64_11761`

Counts

4 → 104

Calls

4 calls:

13.0ms	(.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y))
8.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)

series159.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y))
55.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
29.0ms	(*.f64 x (log.f64 y))
11.0ms	(*.f64 y 1/3)

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4945	1687
1	4945	1687

prune130.0ms (2.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	115	8	123

Error

0.0b

Counts

123 → 8

Compiler

Compiled 3044 to 1552 computations (49% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
0.3b	(*.f64 x (log.f64 y))
0.4b	(*.f64 y 1/3)
6.8b	(.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) z)

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1_binary64_11733`
22×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
17×	`add-sqr-sqrt_binary64_11694`
13×	`associate-r_binary64_11612`
12×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
11×	`cbrt-unprod_binary64_11705` `prod-exp_binary64_11721` `pow-prod-down_binary64_11743`
8×	`associate-l_binary64_11613`
6×	`log-prod_binary64_11758`
5×	`distribute-lft-in_binary64_11621` `distribute-rgt-in_binary64_11622`
4×	`add-log-exp_binary64_11711` `associate-r/_binary64_11614` `-commutative_binary64_11603`
3×	`unswap-sqr_binary64_11640`
2×	`cancel-sign-sub-inv_binary64_11638` `associate-*l/_binary64_11615` `flip3--_binary64_11676` `flip--_binary64_11647` `sub-neg_binary64_11665`
1×	`log-pow_binary64_11761`

Counts

4 → 91

Calls

4 calls:

10.0ms	(.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) z)
8.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)

series135.0ms (3%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
38.0ms	(.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) z)
37.0ms	(*.f64 x (log.f64 y))
11.0ms	(*.f64 y 1/3)

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5085	1267

prune118.0ms (2.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	103	8	111

Error

0.0b

Counts

111 → 8

Compiler

Compiled 2929 to 1351 computations (53.9% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
5.5b	(log.f64 (-.f64 1 y))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`log-prod_binary64_11758`
14×	`add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
12×	`associate-+r+_binary64_11604` `cbrt-prod_binary64_11703`
11×	`add-cube-cbrt_binary64_11707`
6×	`add-log-exp_binary64_11711` `distribute-lft-in_binary64_11621` `distribute-rgt-in_binary64_11622`
5×	`pow1_binary64_11733` `add-exp-log_binary64_11710`
4×	`add-cbrt-cube_binary64_11708`
2×	`log-div_binary64_11759` `pow1/3_binary64_11754` `difference-of-squares_binary64_11641`
1×	`log-pow_binary64_11761` `distribute-lft-out--_binary64_11624` `sum-log_binary64_11763` `flip-+_binary64_11646` `flip3-+_binary64_11675` `+-commutative_binary64_11602` `flip3--_binary64_11676` `rem-log-exp_binary64_11713` `distribute-lft-out_binary64_11623` `flip--_binary64_11647`

Counts

4 → 63

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
4.0ms	(log.f64 (-.f64 1 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series262.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt.f64 y)
80.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
79.0ms	(cbrt.f64 y)
13.0ms	(log.f64 (-.f64 1 y))

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4991	768
1	4991	768

prune86.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	75	8	83

Error

Counts

83 → 8

Compiler

Compiled 1850 to 932 computations (49.6% saved)

regimes334.0ms (7.3%)

Accuracy

Total 0.2b remaining (85%)

Threshold costs 0.2b (85%)

Compiler

Compiled 3614 to 2916 computations (19.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	76	33
1	76	33

end0.0ms (0%)

sample1.9s (42.1%)

Algorithm

1×

intervals

Results

396.0ms	5779×	body	128	valid
304.0ms	651×	body	1024	valid
227.0ms	907×	body	512	valid
92.0ms	647×	body	256	valid
18.0ms	259×	body	128	nan
10.0ms	16×	body	2048	valid
2.0ms	33×	body	128	invalid

Compiler

Compiled 660 to 531 computations (19.5% saved)

Details

analyze596.0ms (13.1%)

sample41.0ms (0.9%)

simplify37.0ms (0.8%)

prune3.0ms (0.1%)

localize12.0ms (0.3%)

rewrite29.0ms (0.6%)

series152.0ms (3.3%)

simplify78.0ms (1.7%)

prune125.0ms (2.7%)

localize14.0ms (0.3%)

rewrite39.0ms (0.8%)

series159.0ms (3.5%)

simplify61.0ms (1.3%)

prune130.0ms (2.8%)

localize16.0ms (0.3%)

rewrite35.0ms (0.8%)

series135.0ms (3%)

simplify57.0ms (1.2%)

prune118.0ms (2.6%)

localize16.0ms (0.4%)

rewrite22.0ms (0.5%)

series262.0ms (5.7%)

simplify75.0ms (1.7%)

prune86.0ms (1.9%)

regimes334.0ms (7.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.9s (42.1%)

Profiling